diff --git "a/data/dm_maths/full_data/1201_11255.jsonl" "b/data/dm_maths/full_data/1201_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1201_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third derivative of 251*t**6 + 137*t**2 wrt t?\nAnswer: 30120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -245.7702177.\nAnswer: -246.0702177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083334671.\nAnswer: 3, 179, 613, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 3\/19, -0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-275)\/(-20) + 0\/2. Suppose 5*u = -25, 3*i - 5*u + 24 - 4 = 0. Let j = b + i. What is the third smallest value in 2\/5, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 1:06 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11656 by -62.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 87000000 rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) - (-32)\/5. Let c(u) = -u**3 + 5 + 5*u**2 + 0 - 3 + l*u. Let w be c(6). Solve -3*b + w*b = 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**3 - 2 + f**2 - 2 + 5 + f. Suppose 0 = 3*n + 2 + 1. Does 4 divide x(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21\/5 + 3. Let a(p) = p**3 - 2*p**2 - 2*p - 1. Let n be a(3). Let h be (-1)\/(-1*1\/n). Sort h, q, 4 in ascending order.\nAnswer: q, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -27*f**3 + f**2 - 1. Let z be h(1). Let o be 4\/(-2) - -3 - z\/3. Is (-5)\/o - 1545\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4514573249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.5268nm in centimeters?\nAnswer: 0.00008565268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 10:41 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166776996 to the power of 1\/3, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4123593.1 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26233 is divided by 2342.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*o. Let z be (-18)\/(-6) + o\/1. Suppose n - z*n = -3*c + 19, -n + 3*c = 7. Sort 3, -1, n in increasing order.\nAnswer: n, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.355 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -2*3\/18. Let j(f) = -f**2 - 11*f + 9. Let l be j(-10). Let h be ((-3)\/6)\/(l\/(-4)). Which is the nearest to -0.1? (a) h (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 151*r + 15. Solve 6*g - 7*g = r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + p - 21. What is j(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 3. Let h be v(-7). Let b = 8 + 57. Let l = b + -63. Solve 4*c = -s + l*c + 1, -h*s + 5*c = -17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 10*v + 16. Let g be t(11). Suppose -g = -2*d + d. Solve d*h - 4 - 6 = 4*p, 2*p + 5*h = -20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-357)\/(-88) + 1\/1. Let n = r + -39\/8. Factor 0*z - n*z**2 + 2\/11.\nAnswer: -2*(z - 1)*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146228 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36674*z**3 - 5*z + 274085.\nAnswer: -110022*z**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 17552286.\nAnswer: 1\/17552286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -19. Suppose q + 2 = 3*v, -5*v - 4*q + a + 10 = 0. Factor -2*w**5 + 2*w**4 + w**4 - 2*w**v - 2*w**3 + 3*w + w**5 - 1.\nAnswer: -(w - 1)**4*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78842.48 nanometers in kilometers?\nAnswer: 0.00000007884248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1007498838, -1007498842, -1007498848, -1007498856, -1007498866, -1007498878?\n\"Answer: -q**2 - q - 1007498836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 75. Calculate the greatest common factor of j and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*z + 5*y + 4125, -4*z + 19*y + 498 = 17*y. Let o(u) = u + 200. Let g be o(0). What is the greatest common factor of z and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2356280785?\nAnswer: 5, 89, 149, 35537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7.89. Let r = 16.11 + m. Let o = -21 + r. Sort -0.3, -0.8, o.\nAnswer: o, -0.8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268062879 by -4.\nAnswer: -268062879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6050)\/726*6\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.559311 seconds to minutes.\nAnswer: 0.15932185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 36 = 3*b. Let j be 2\/(-9) + (-1220)\/b. List the prime factors of ((-2)\/8)\/(1\/j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -2*k**4 + 8*k**3\/3 + 10. Find the third derivative of d(t) wrt t.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122 - -126.1. Let r = l - 9.1. Sort 2, r, -3, -2\/15 in descending order.\nAnswer: 2, -2\/15, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4561 or 93\/20?\nAnswer: -3\/4561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1578*f = -227*f - 456*f - 131138 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 146, 148, 148, 146?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-5 + 5 + 2*i**2)*(6*i**3 - 2*i**3 + 3*i**3).\nAnswer: -14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -9\/2 (c) 0.1 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5\/4 - 513*c**4\/4 + 1029*c**3\/4 - 515*c**2\/4.\nAnswer: -c**2*(c - 1)**2*(c + 515)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6126*r**2 - 60*r + 6122*r**2 + 60*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1836 - 1838. Suppose -7 = 4*g - 23. Suppose -b - 4*l - 16 = -5*b, -b - l = -g. What is the nearest to 0.06 in b, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 270 and -0.11.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*u - 3479 + 1109, -20 = 4*u. Is 53 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)\/f)**(1\/17)*(f\/(f*((f**(-14)\/f)\/f)\/f))\/f**(-2\/3) assuming f is positive.\nAnswer: f**(4496\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6406154.\nAnswer: 2, 19, 263, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o = 0. Suppose -p + 16 = -o*p. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 19371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + d)*((-2 + 1 + 18)*(0*d + 0*d + 8*d) + 0 + 0 + 2*d).\nAnswer: -276*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 44322 and 44321 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -444 + 456. Solve 4 = u*k - 13*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a. Let t(h) = 3*h. Let f(q) = 3*n(q) + 4*t(q). Let v(w) = 2*w**3 + w. Let m be v(1). Let j(d) = 0*d + m*d - 4*d. Calculate f(j(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 24*u - 36. What is the highest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*i - 2*p + 25, 2*p = -5*i + 16. Suppose -i*t = -5*t. Suppose -4*u + b + 26 = 3*b, t = -3*u + b + 12. Solve u*j = 3*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26313608 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = r + 16. Let g(p) = p + 5. Let u be g(5). Suppose y = 63 + u. What is the remainder when y is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5 + 116*w**4 + 35382*w**3 + 481450937*w**2 wrt w.\nAnswer: 120*w**2 + 2784*w + 212292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -25. Calculate the least common multiple of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6661\/43043 - 3\/3311. What is the third smallest value in -7, 5, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-10 - -4) + 11 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/120 - x**5\/6 + x**4\/12 - x**3 + 13*x**2. Calculate the remainder when q(11) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 3)\/(-1 - -2). Let h(l) = l**2 + l - 3. Let g be h(v). Is g\/(3 - 0) - -84 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 186 + 588*p**2 + 498*p**2 + 172*p**4 + 16*p**5 + 785*p**3 - 154*p**2 + 300*p - 141*p**3 = 0.\nAnswer: -4, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 3\/2*z**4 + 7\/3*z**3 + 0 + 30*z + 1\/15*z**6 + 1\/2*z**5 + 2*z**2. Factor i(x).\nAnswer: 2*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*-6 + sqrt(900))\/(-2*sqrt(405)).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318417 is divided by 45455?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -95 (b) -3\/7 (c) 1.6 (d) -1 (e) 5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.6 - -11.898. Let p = 0.3 - d. Round p to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-113)\/(-339))\/(2\/((-72)\/14))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -7\/2, -3, 35?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*x + 6 = 0, g + 127*x - 129*x + 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = m + 18537, 508*d - 2*m = 505*d + 13904. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110010100110101 (base 2) in base 7?\nAnswer: -2112162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18686*z - 2335760. Give h(125).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1, 2, 1\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -1, 2, 5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4096988 * -0.4\nAnswer: -1638795.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11)*t\/t**14*t*(t**(1\/11)*t)**26)**16 assuming t is positive.\nAnswer: t**(944\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*g + 40, 4*g - 6 = v + 11. Factor -v*q + q**2 - q**2 + q**3 + q**2 + q**2.\nAnswer: q*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -242 and -0.1.\nAnswer: 24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 96. Let z(s) = -s**2 + 6*s + 4. Let q be z(b). Let o = 3 + q. Solve 8 = -3*h - o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 730 + 363 + 367.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 - 0 - 3 - (-16 + 3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29302, -29303, -29304, -29305, -29306?\n\"Answer: -j - 29301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 2*t. Let y be i(-2). Let c(q) = -q**3 - q + 1. Let s(f) = -4*f**3 + f**2 - 6*f + 3. Let d(x) = -5*c(x) + s(x). Calculate d(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 304.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 + -10)\/(12\/(-8) + 1). Let c(f) = -f**2 - 3*f - 4. Let o be c(-3). What is the remainder when -1*60\/o - x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 6, c: 2, e: 10, j: 1}. What is prob of picking 1 v, 1 c, and 1 e?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13065, 54166, 123289, 220434, 345601, 498790, 680001?\n\"Answer: 14011*o**2 - 932*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26765?\nAnswer: 5, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iee when three letters picked without replacement from {i: 5, o: 2, e: 2}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.68 + 44.67992996. What is s rounded to 6 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17620579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -o + 38. Suppose -18025 = -3*d - u, -o*u = -5*d + u + 30015. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 5:21 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186*4\/1008 - (-5)\/(-6).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189642.98 less than -0.1628337?\nAnswer: -189643.1428337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1013132431111 - 10?\nAnswer: 1013132431101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, -8, -34, -70?\n\"Answer: -5*b**2 - b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10855 is divided by 1204.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -144*s + 15. Let v be x(0). Solve -69 = -v*a - 8*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.3 (b) -14 (c) 30 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 36.9999794. What is s rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4866 divide 151370731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-2)\/(-1) - -2. Suppose 4*u - 6*u + 5*u**2 - u**3 + 2*u - m*u - 9 = 0. Calculate u.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g + 7. Let k(p) = 8*p. Calculate l(k(o)).\nAnswer: -40*o + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4597468 is divided by 2298692?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 1\/7 (c) -4 (d) 1\/2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 31. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*s - w, 6 = s - 2*w - 5. Suppose -s*m - 4*v = -122, -2*v = 5*m - 7*v - 215. Suppose -2*i + 32 = -m. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -21*i - 3. Let h(q) = -22*q - 3. Determine 7*h(b) - 6*x(b).\nAnswer: -28*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126 is divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 5*z + 2 - 6*z**2.\nAnswer: -6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*d = -0*j - 6, 4*j - 5*d + 27 = 0. What is the remainder when 16 is divided by (36\/j)\/(6\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from emmmuzuuuummuezmuu?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 - -5 - -6) - (-22 - -15) - 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-21))\/((28\/(-21))\/(-2))*60\/54?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, d: 7, q: 1, z: 3, r: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*n + 28422 + 22912, 3*f - 51334 = -2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 8}. What is prob of picking 2 n and 2 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1762 is divided by 60.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*f + 47 + 95, -4*q = 4*f - 176. What is the remainder when 124 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 0*l**2 - 6*l**2 + (-1 + 1 + l + 5*l + 2*l - 5*l + (-l + l + 2*l)*(6 - 2 - 2) + 0 - l + 0 + 0*l - 3*l + 4*l)*(18*l - 38*l + 15*l + 3).\nAnswer: -43*l**2 + 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-59\nAnswer: -88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54636 by -6.\nAnswer: -9106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p - 6. What is g(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3085243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 142, 194, 250, 310?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 4) + (-88 - -47) - (2 + 6)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*s**6 + 4*s**5 - 12*s**2 - 6*s?\nAnswer: -2040*s**3 + 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**3 + 0*k**2 + k**2 - 2*k + 4 - 6*k**2. Let d be a(-4). Suppose 4*r = -4*g + 445 - 113, -2*r + d = 3*g. List the prime factors of g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(21\/6 - 4). Suppose 3 = -s*j + 18. Solve 4*g - 5*q = -19 - j, 0 = -3*g + 5*q - 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dododddodd. Give prob of sequence ddoo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - ((-3 - 6 - -11) + -48)) + 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = 2*g, g - 3*g - 6 = 0. Let l(d) = -d**3 - 3*d**2 + 5. Let p = -28 - -25. Let q be l(p). Solve b*r - 30 + q = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-5 + (-6 - -13)) - (5 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 8:27 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (11 - (-19 + (3 - -1)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (5 + 0) - (-68 - -4). Calculate the greatest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 5*s + x - 28, 0 = -5*x + 5. Suppose -s + 43 = 2*f. Solve -f = -a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -1.17, 1, 0, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*f + 6, -5*a + 15 = -3*f + 7*f. What is the second derivative of a*m**4 - 3*m**4 - 9 - 860*m**5 - 8*m + 731*m**5 - 7 wrt m?\nAnswer: -2580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q + 279 - 1827 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + o**3 + 0*o**3)*(-4*o + o + 4*o + (-4*o + o + 2*o)*(1 + 1 - 4) - o + 0*o + 4*o).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 1. Let d(g) = 4*g**2 + 3*g - 2. Let w(f) = 7*f**2 + 5*f - 3. Let c(a) = -5*d(a) + 3*w(a). Calculate 5*c(p) - 4*r(p).\nAnswer: -3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/99)\/((2769\/429)\/71). Factor b + 20\/9*w + 4\/9*w**2.\nAnswer: 4*(w + 2)*(w + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:52 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) - -4*4\/24. Is w greater than -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/27)\/(13\/(-117)). Solve -z + 2 = f, a*z = 7*z + 2*f - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, j: 4, q: 2}. Give prob of sequence xx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1055910 and 0.08.\nAnswer: 84472.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 2*b - 1. Let d be 6\/(-15) + (-16)\/10. Let g be d\/(-7) - 12\/(-7). What is t(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-13 + 5*w + 13) + (-3 + 1 + 1)*(-3 - 2*w + 3) - 3*w + 2*w + 0*w - 1 + 1 - 13*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.2533 + -1.2433. Let g = 0.01 - z. Let x = -51.118 - g. Round x to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*t - 147, 4*h + 104 = -5*t - 33. Let g(j) = -j**3 - 27*j**2 + 51*j + 7. Is 12 a factor of g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h + 3 = 0. Let l be 125\/220 + 24\/132. Which is smaller: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 277, -7, -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1374 divided by 6\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*j**3*l*z + 810*j**3 + 5175*j*l*z - 2*j*l - 20*l wrt z?\nAnswer: -5*j**3*l + 5175*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -3 - 3 - ((11 - 18) + 14).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 9*i - 12. Let c be s(-11). Suppose 2*j + c = -0*j. Suppose -u - 8 = t, u - 3*t - 18 + 10 = 0. Put u, 12, j in descending order.\nAnswer: 12, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -402a937 + 8?\nAnswer: -402a92c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfzfl. Give prob of sequence lfll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -234.4.\nAnswer: -230.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 = -0*b + 3*u, 4*u = -b + 18. Suppose 2*d - 4*s = -2*s + 22, b*d + 5*s = 1. Solve 2*l + 19 = -d*c + 3*c, 2*c - 2 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8371295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y. Let l(b) = -6*b + 1. Let i be ((-200)\/800)\/(1\/(-20)). What is i*f(v) + 2*l(v)?\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Suppose a - 18 = -b. What is the highest common divisor of 10 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + 3. Suppose -18 = -s - 2*s - 4*j, u*j - 9 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = 0. Suppose 2*h = 4*v + v + 7, 2*v - 2 = x. What is the second derivative of -2*f + 2*f**2 + h*f + 2*f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) -37 (b) -1\/2 (c) -2 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4502680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**5\/10 - z**4\/12 + 3*z**3\/2 + 9*z**2\/2 - 59*z + 3. What are the prime factors of a(8)?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Is (-642)\/(-12) - (-1)\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from {n: 3, c: 2, k: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/1*(2 + (-21)\/28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/14)\/(-36)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1840801*z**3 - 31*z**2 + 95*z + 505 wrt z?\nAnswer: 11044806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**3 + 5*j**3 + 3*j**3 - 2 + j**3 + 20*j**2 to the form n + p*j + q*j**2 + m*j**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8645 to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141194.\nAnswer: 2, 227, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:37 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5460, -22265, -50406, -89889, -140720, -202905, -276450, -361361?\n\"Answer: -k**3 - 5662*k**2 + 188*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/20 and -17\/20560?\nAnswer: 20560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/820557 and 5\/1094076?\nAnswer: 3282228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19 - 0.71. Let a = 0.931 + t. What is a rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/817? (a) 805 (b) -2\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyyx when four letters picked without replacement from xmmmmyxymmmiymxyym.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107029 is divided by 26018?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)\/(sqrt(6)*1) - sqrt(63) - sqrt(63)) + sqrt(63) - sqrt(63)*2*-2)\/(sqrt(900) + -4*(sqrt(900)*-1 + sqrt(900)) + sqrt(900)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152 - 63 - 15900*o - 90 to the form s + n*o and give n.\nAnswer: -15900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 12*b + 8. Is v(13) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4 = 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 2, x: 5, j: 3, k: 1, d: 1}. What is prob of picking 1 n, 1 m, and 1 x?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19542 is divided by 1180.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 36*q**4 + q + 38 + 33 + 19*q**3 - 31*q**3 in the form y*q**3 + u + f*q**2 + z*q**4 + t*q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27970772 + -974228. What is g rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 8*z**2 + 5*z + 35. Determine s(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15893 + 3181?\nAnswer: -12712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/85)\/((-2)\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 3\/(-1))*(-4 - -5). Suppose -n*t + 9 = 0, -48412 = -2*i - 4*t - 0*t. Round i to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2 - (13 - 53)) + 1647 + -1665?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 60. What is s(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*649.53.\nAnswer: 1948.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/4221 + -316579\/16884. Calculate the common denominator of c and 2\/(-3) + 244\/42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -354, -128, 1296, 4518, 10138, 18756, 30972, 47386?\n\"Answer: 100*s**3 - s**2 - 471*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -328, 0.8, 0.5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -5.3, -1\/3 in ascending order.\nAnswer: -5.3, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 15*s = -12. Suppose -15 = -5*b, -26 = -2*m - 0*b - s*b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/(29\/87)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 303, 305, 323, 363, 431?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.313891 hours in minutes?\nAnswer: 78.83346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m**3 - 66*m**2 - 1048*m - 8. Determine v(-6).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 41*d + 18915 = 0. Is 287 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32097 at most -1412265\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 13*c + 64. Let o be u(-17). Suppose -2*p - p + o = 3*z, 4*z + 384 = p. Is p a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f + 27. Calculate y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20943\/312 - 64)*40.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/2970 and -131\/4158?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-120)\/35)\/(2\/(-14)). Suppose -4*p + 4*z + m = 0, -2*z + z = -5*p + 30. Solve -p = 4*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(108885\/175)*(-2)\/5.\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -19*n**3 + 6*n**2 - 7*n - 1. Let y(l) = l**2 - l. Determine -x(k) + 6*y(k).\nAnswer: 19*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7714 divided by -551.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1)*(-27 + 8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -4\/3, 0, 1\/7, 74, -3, 0.03?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**6\/24 - 11*n**5\/30 + 11*n**4\/12 - 4*n**3\/3 - n**2. Suppose -35*p + 205 = -6 - 104. Is s(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 345949.\nAnswer: 1\/345949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -306 + 319.3. Let q = j - 13. Which is the closest to q? (a) 1 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 9*l**2 - 10*l + 11. Calculate b(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*b + 56 = 0, 5*m + 2*b - 43 = 18. Suppose v + 0*v = 10. Suppose 2*c - v = 28. What is the remainder when c is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y**2 + 2*y**2 - y**4)*(-y + 4*y - 2*y) + 4*y**5 - 13*y + 13*y)*(2 + 0 - 4) - 133*y**5 + 131*y**5 - 4*y**4 - 4*y + 0*y.\nAnswer: -8*y**5 - 4*y**4 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 8:37 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446 + 440 - 901*a - 764*a.\nAnswer: -1665*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r + 9. Let z(c) = -4*c - 5. Let w(l) = 6*s(l) + 10*z(l). Let m(g) = -1. Give 5*m(a) + w(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:18 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 478097.3 nanograms in kilograms?\nAnswer: 0.0000004780973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:29 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:16 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 2*t**3 - t**3 - 5*t**3 + (-32 + 32 - 8*t)*(1 - 1 + 2*t**2) to the form j*t**2 + h*t + b*t**3 + r and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**4\/12 + x**3\/6 + 4*x. Let b(t) = -8*t**2 - 5*t. Let g(w) = -b(w) - 5*l(w). Let i(h) = 5*h**2. What is g(i(m))?\nAnswer: 75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 0*x**2 - 2*x**2 - x**2. Let i(g) be the first derivative of g**2\/2 + 1. Calculate c(i(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w - 2. Calculate the remainder when (5 - 5) + -4 - -126 is divided by z(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-10)*((-124)\/2325)\/(11\/(-3)).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33656147463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*u - 379*u + 22*u)*(3*u**2 + 3*u**2 - 4*u**2) + 2*u - 2*u + 2*u**3 + (0*u + u**2 + 0*u)*(5*u + 2*u - 3*u).\nAnswer: -886*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21)\/((-4)\/(-28)*1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3495 (base 13) to base 2\nAnswer: -1110011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) + sqrt(5) + sqrt(30)\/sqrt(6)))**2 + sqrt(30)\/sqrt(6)*-4.\nAnswer: -4*sqrt(5) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 23.8. Let c = 0.8165 - s. Let v = -0.2165 - c. What is v rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0 - i - 1\/12*i**4 - 4\/3*i**3 - 4*i**2. What is the units digit of c(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73*(-1818)\/147460*920\/6?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**2 + 16*w**3 - 5*w**2 + 13*w**3 + 28*w wrt w.\nAnswer: 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*b + 9, 0 = -j - b - 5 + 4. Calculate the smallest common multiple of 6 and (-6 - j) + (9 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 966 * 21\nAnswer: 20286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = 4*b, o = -5*b + 7*b - 2. Let r = 6 + o. Suppose -63 = -r*u + f, 174 = 5*u + 7*f - 4*f. What is the least common multiple of 27 and u?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 67?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 12, -1, -0.2, -0.3 in decreasing order.\nAnswer: 12, -0.2, -0.3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -1\/4, -3\/146, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197227*o**2 + 196440*o**2 - 393659*o**2 + 3.\nAnswer: 8*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 741, 753, 765, 777, 789?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 250*a**3 - 2320*a**2 - 6950*a - 4875.\nAnswer: -5*(a + 1)*(a + 5)**2*(a + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 3*s**2 - 3*s - 21. Calculate the remainder when 344 is divided by a(-3).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -46, -18, -2.\nAnswer: -46, -18, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**2*j + 93*b**2 + 9*j wrt j?\nAnswer: 6*b**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skk when three letters picked without replacement from ksssskkrkssksk.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1471?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 - 4*x + 3. Let s be p(2). Let r(z) = 4 + 7 - s - z. What is r(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - -0.24. Let k(m) = -21*m + 546. Let g be k(26). Put y, 1.5, g in descending order.\nAnswer: 1.5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1304, -69, -1, 22 in descending order.\nAnswer: 22, -1\/1304, -1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4830852343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/10, -2\/11, -1, -5.43, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {z: 1, w: 2, c: 1, g: 3, s: 1, j: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**3 + 31*n**2 + 4*n + 5. Let b(v) = 6*v**3 - 31*v**2 - 5*v - 7. Determine 4*b(p) + 5*z(p).\nAnswer: -p**3 + 31*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 614255881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31871900 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-51896)\/(-9) - (18\/(-6) + 3). Suppose x - 2*l - 5768 = 0, -3*x - l + 17249 = 4*l. Let i = x - j. What is the common denominator of -59\/6 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 11\/12*z**4 + 0*z**2 + 0 + 0*z**3 - z. Determine m(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19272 + 19182. Put o, 3\/25, -5 in increasing order.\nAnswer: o, -5, 3\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8100995\/4 < -2025249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*x = -16, 2*p + 6*x + 132119 = 132197 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 343997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q - 4 - 3*q + 44*q + 42*q. Is w(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, 365, 1829, 4679, 9377, 16385?\nAnswer: 26165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45891, -183736, -413485, -735144, -1148719, -1654216, -2251641, -2941000?\nAnswer: -3722299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -52, -56, -60, -64, -68?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**6\/90 - 2*j**5\/15 - 2*j**4\/3 + j**3\/3 + 4*j**2. Let b(a) be the first derivative of d(a). Find f such that b(f) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 - 4198765*j\/2.\nAnswer: j*(j - 12596295)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 4966 + 7*d**3 - 220*d**2 - 50*d**3 + 220*d**2 - 4941 to the form p*d + m*d**3 + z*d**2 + b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/18 and -95\/1108.\nAnswer: 9972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 7*b**2 + 6*b + 5. Suppose 7*r = -0*r - 42. Let t be l(r). Solve t*p - 8 + 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -7.9. Let o = g - 0.2. What is the smallest value in o, 3\/5, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 642452 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 111138?\nAnswer: 333414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 + (7 - 14) + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 + 2. Suppose -10 = 2*x + 2*v + 2*v, 4*v = -12. Let b(m) = -4*m**2 + x - 3 + 5. Determine 2*b(h) - 3*j(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 743622528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(192) + sqrt(192))**2 - (0 + sqrt(147))**2*4.\nAnswer: -128*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**3 + 16*d**2 + 2057*d - 2074. Calculate g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r - 4 + 5*r**2 - 1 - 4 + 7*r**2. Is c(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1*sqrt(5) + 0 + (sqrt(5) - sqrt(5)*-2) + -4 + 3)*2)**2*4.\nAnswer: -384*sqrt(5) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 5*v + 20, 4*v + 5 - 21 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 7*o**2 + 10*o - 7. Let r = 2569 + -2486. What is the remainder when r is divided by g(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - 45*q + 45*q)*(-39*q - 213 + 216 - 4*q)*(3*q - 4*q - q).\nAnswer: -344*q**4 + 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 4*h**2 + 2*h**2 + 13*h**3 + 40*h**3.\nAnswer: 58*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -n + 5, -n = n - z - 1. Let b = 8 + -3. What is the third derivative of f**3 + f**n - f**3 - f**b wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmdimmeezwdedwz. Give prob of picking 2 z and 2 m.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0771758813 rounded to 5 dps?\nAnswer: -0.07718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/7))**(-26\/9)\/((g*g**(1\/14)\/g)\/(g**(2\/9)\/g*g)))\/(g*(g**(-3\/8)*g)\/g*(g\/(g**(-2\/7)*g))\/g*g)**(-2\/19) assuming g is positive.\nAnswer: g**(-16603\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156, 222, 332, 486?\n\"Answer: 22*i**2 + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let j(q) = -3*q - q - 3 + 11*q. Determine j(l) + 5*u(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111790 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n - 19. Let h be m(3). Let b be -1 + 21*(-6 + 3 + h). Let j = -23 - b. Sort -4, 0, j in increasing order.\nAnswer: -4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 161148.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 2*d - 20, 0 = -5*b + 994981*d - 994984*d - 53 - 37 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -0.15, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b6064 (base 12) in base 5?\nAnswer: 30113130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) 0.5 (c) 5 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w - 47. Calculate the remainder when 43 is divided by f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w = 38*w + 136 + 888 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -222.\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 918 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 9*v**2 - 2*v + 25. Let g be p(-8). Let q = g + 138. What is the remainder when q is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.2 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202212121210 (base 3) to base 7.\nAnswer: 3330621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-3*sqrt(242)))\/(-3*(sqrt(432) + sqrt(432)*-4)).\nAnswer: -sqrt(5)\/3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(2*(14\/32)\/7). Suppose 2*u = -q + 6*q + 36, -d = 3*q - 2*u. Sort 3, q, -5, -4 in descending order.\nAnswer: 3, -4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*k + 5)*(-3 + 1 + 0).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*o**4 - 257*o**2 + 6030*o - 827685435 with respect to o.\nAnswer: 104*o**3 - 514*o + 6030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828537.4 grams to milligrams.\nAnswer: 828537400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549419 is divided by 299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*30\/(-8)*1\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11200121200 (base 4) to base 2\nAnswer: 101100000011001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.249 + -13.851. What is v rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2023 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 5*u**4\/24 + u**3\/2 - 7*u**2. What is the remainder when 35 is divided by y(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -107995.\nAnswer: -107994.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-11 - (-20 - -10))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -11\/2 (c) -4\/3 (d) -1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -111331, -110653, -109977, -109303?\n\"Answer: -y**2 + 681*y - 112011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -901 + 914. Let k(l) = -7*l + 2. Let d be k(-3). Let o = d - 16. What is the remainder when r is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 559*g**5 + g**4 + 96105*g**2 wrt g.\nAnswer: 33540*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65842 - 21931 = 63*l. Solve -690*r - 14 = -l*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 - (2 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + j)*(70*j - 43*j + 67*j).\nAnswer: 188*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2411 plus -0.9872717049?\nAnswer: -1.2283717049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 19 = 2*l, 3*l + 2*f = -14075 + 14087 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0 - 30) + (-2 - (-25 + 12))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 23 = 4*p + t, t + 3 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11807 and 24.6016002.\nAnswer: 24.7196702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100179384?\nAnswer: 2, 3, 4174141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*((39 - 9 - 185)*(-3*d**3 + 4*d**3 + 0*d**3) - d**3 + d**3 - 2*d**3 + (6*d - 2*d - 5*d)*(-2*d**2 + 4*d**2 + 0*d**2)).\nAnswer: -159*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/52 and 45\/128.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28 - -22420 - (30 - 14).\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 51*q**6\/40 - q**5\/60 - q**4\/24 + 579*q**3\/2 + 26*q**2 - 35. What is the second derivative of x(a) wrt a?\nAnswer: 918*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105058 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42941491 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378490 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045980137 to seven decimal places.\nAnswer: 0.0004598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*n + 12. Calculate the lowest common multiple of n and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-45) - (-3846)\/10. Let a(i) = 5 + 174*i + r*i + 77*i. Is a(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/12 + 3*n**2\/2 + 3. Let i(o) be the second derivative of p(o). Let c(x) = 3*x**2. Calculate i(c(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -223366777, -223366776, -223366775?\n\"Answer: r - 223366778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 23 = -3*s. Let p = 33 + s. What is the remainder when 13 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3290 = -424*x - 3557 + 11291 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s + 4. Solve -3*w - s*j = 3, -2*w = -5*w + 4*j - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aava?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 7) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s + 12. Let c be i(1). Suppose r + 5 = 2*r + c*j, -47 = -4*r - 3*j. What is the remainder when (-1 - 12)*3\/(-1) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 32 = 10*q. Let z(p) = -4 + 4 + q*p + 0. Let m(b) = 2*b**2. Determine m(z(u)).\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 34*t + 588. Calculate the remainder when k(-15) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/583 + 5205\/8162. Suppose -4*i + 50 = 2*s, 2*s = -0*s - i + 35. Calculate the common denominator of (s\/20)\/((-36)\/(-220)) and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -130.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 0.03 (c) 2\/113 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/97 and -0.4515 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((88\/6)\/(-11)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 2*f**2 + 1127*f**4 - 3 - 1125*f**4 - 1 - f as y*f**4 + l*f + n*f**2 + v + z*f**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89394 and 58?\nAnswer: 2592426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 40*o - 10. Let f(h) = 20*h - 5. Let s(z) = z**3 + 4*z**2 + 3*z + 2. Let m be s(-2). Let c(n) = m*d(n) - 9*f(n). What is the derivative of c(x) wrt x?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 2196.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 179 = -15*v + 20*v, -4*w + 375 = -7*v. Which is the nearest to -1? (a) w (b) 0.4 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + 2*n**3 - 16 - 14*n**2 + 26*n**2 - 10*n**2 as r*n**3 + b*n**2 + o + d*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (9*20\/(-360))\/(2\/(-28))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 420 = p, -p + 2105 = 5*s - 5*p. Let j(d) = 848*d**2 - s*d**2 + 1 - 6*d + 3*d**3 - 428*d**2 - 2*d**3. Determine j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*c - 191. Suppose 6*v = 76 + 58 - 32. What is the remainder when c is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-212)\/265.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 16 + 19 - 3*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 21*i - 2. Let b be x(21). Do 0 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 111145395 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/9 of a day?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*p + 105*p - 140. Suppose 8*y - 101 = 3*y + n, -3*y + 2*n + 62 = 0. Calculate the highest common divisor of y and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011110 (base 2) in base 10?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*u - 222*u = -1008 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1946 divide 64733690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((65\/20)\/13)\/(13*(-93)\/62).\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k - 56 = 47*k. Let s(y) = y**3 + 9*y**2 + 7*y - 5. What is the least common multiple of 36 and s(k)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 43868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -21*h + 49 - 97 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = 0, 4*d + 0*z + 12 = 5*z. Let t(i) = -3*i**2 + 5*i. Let o be t(d). Let m(q) = 4*q - 2. Give m(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7874 + 0.5\nAnswer: 7874.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 2 u when four letters picked without replacement from {u: 3, j: 2, h: 1, f: 1, z: 5}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - 5.4. Let a = d + 3.2. Let h be (-56)\/(-66) + 9 + (-232)\/24. What is the closest to 0.1 in 6, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 10*k**3 - 672 + 619 + 36*k**2 - 36*k**2 as x*k + n*k**3 + p*k**2 + y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*k - 40. Suppose 0 = 3*s - 3*p + k, -2*s - 2 - 1 = p. Let l(b) = -b**3 - 4*b**2 + 1. Let y be l(s). What is the nearest to 2 in y, -5, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80979111 a multiple of 7348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v*v\/(v**(-2\/3)\/v)*v))\/v*v*v*v**(-4)*v*v*(v*v**(-1\/4))**(-21\/4))**(1\/37) assuming v is positive.\nAnswer: v**(-365\/1776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*z + 52 = 0, -2*j + 0*j = z - 26. What is the remainder when 36 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 20*h - 17*h + 2, -3*j = 4*h + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(200) + -4) + sqrt(200) - ((sqrt(200) + 0)**2 + sqrt(200))*-5) + -3*(-1 + (sqrt(200) - 3*-3*sqrt(200)))**2.\nAnswer: -59015 + 690*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 1123500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 12) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:11 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -16572400 in decreasing order.\nAnswer: 5, 2, -16572400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k**2 + 24*k + 11. Let g(p) = 7*p**2 - 16*p - 8. Let d(b) = -8*g(b) - 5*y(b). Determine d(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*3 + sqrt(200)\/sqrt(90))\/(((-2*sqrt(150))\/sqrt(5))\/sqrt(3)).\nAnswer: -37*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 21. Let g = 1.96 - -7.14. Let u = -8.9 + g. What is the biggest value in u, x, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -68. Suppose 0 = -3*b - 7*q + 4*q - 84, x = q + 4. Let i(w) = -4*w**3 - 24*w**2 - 24. Let a(h) = -h**3 - 5*h**2 - 5. Determine b*a(g) + 5*i(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 - 4*o. Let m be b(-2). Let r(u) = -2*u**2 - 24*u + 5. Let w be r(m). Solve 2*a + w = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*v - 6687, 13*n = 19*n - 18. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111211110211 (base 3) to base 14.\nAnswer: -71315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 22. Let v = 12.1 + s. Which is greater: v or -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-4) + (23 - 21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6422048 or 6422047?\nAnswer: 6422048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17343 (base 11) to base 16.\nAnswer: 5f30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 9. Suppose 8 = -3*i + a*i. Solve 5*j - 5 = 4*c, i*c - 35 = -9*j + 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3010 and -2?\nAnswer: -6020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 48 = l. Suppose -5*q + w + 10 = 0, -2*q + l = 2*w - 0*w. Calculate the remainder when -57*(0 - (4 - q)) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/15*4725\/(-270).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*o + 4*c - 4, 0 = 1526*o - 1527*o + 65*c + 127 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14256 times -0.5?\nAnswer: 7128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:28 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 10*c. Suppose 2*n - 11 = -c*u + n, 2*u = -5*n - 9. Solve q = h, 7*h = 3*h - 4*q - u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2718372*m - 2 - 4*m**2 - 2718382*m + 0*m**2 + 3*m**3 to w*m**2 + b*m + v*m**3 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 180*g*u**2 - 64297*g + 5*u**2 - 193*u + 3 wrt u.\nAnswer: 360*g*u + 10*u - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 2. Let y be (-30)\/(-7)*98\/d. Suppose -4*u + y = u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 383*w**2 + 4*w - 9*w**4 + 383*w**2 to c*w**3 + d*w**2 + u*w**4 + z + s*w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 7. Suppose -i*t + t - 5455 = 0. Let a = -702 - t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -16. Let y(g) = -199*g - 129. Let f be y(-1). Differentiate 9 - 13 + f*s**3 - 25*s**3 - k wrt s.\nAnswer: 135*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 - 2*d + 3*d**3 + 3*d**3 - 2*d**3 - 2)*((-2*d + d + 0*d)*(2 - 15 + 0) + 2*d + 0 + 0) to the form c*d**2 + a*d + i + w*d**3 + u*d**4 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*s + 43, -2*s - 5*m - 60 = -7*s. Solve -q - 9 = i, 2*q - s*q = -4*i + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 963984?\nAnswer: 963984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -577, -2486, -5667, -10120, -15845, -22842, -31111?\nAnswer: -40652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from ggssgsg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/5 + 273298*l\/5 = 0.\nAnswer: -136649, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2246504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22a + -122?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 842*k - 844*k = 95, -37*d + 2*k - 19 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13887353?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 46. What is the remainder when 49 is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872448 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(187)*5)\/sqrt(11) + ((sqrt(204) + 3*sqrt(204))*-3 - sqrt(204))\/sqrt(12))**2*4.\nAnswer: 35972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*s**3 - 2*s - 3 - 6*s**3 - 48*s**3 in the form i*s**3 + d + r*s + h*s**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 4. Let t(q) = 26*q - 8. Let p(f) = 23*f - 7. Let o(n) = 9*p(n) - 8*t(n). What is -3*d(k) - 12*o(k)?\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -3\/11, 3\/4, -5\/3 in increasing order.\nAnswer: -5\/3, -3\/11, 0.06, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -0.1, 3\/4, 2\/9 in descending order.\nAnswer: 3\/4, 2\/9, -0.1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000193105 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*p + 2*p. Let w be (-2 + (1 - p))\/1. Is 5\/w - 264\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3603 and 3.\nAnswer: 3603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 3*g + 170 = 0. Calculate the remainder when g is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29\/5 + (-1)\/(-5). Suppose 0 = 3*x + t + 3. What is the common denominator of 162\/16*(-4)\/x and 11\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 + 172.5. Suppose 33*k = 49*k + 224. Which is the closest to 2? (a) 4 (b) 3 (c) k (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3 + (-7 - 4 + 4)*(-4 + 2 + 0) + 2 + 3 - 4)*(-45*l - 29*l**3 + 45*l).\nAnswer: -377*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2646*q**5 + 35217*q**4\/5 - 54654*q**3\/5 - 28980*q**2 + 3000*q = 0. Calculate q.\nAnswer: -50\/21, 0, 1\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 + 2*z**2 + z**2)*(-429 + 109 + 103 - 311*z + 101 + 102) to x*z + s + c*z**3 + v*z**2 and give c.\nAnswer: -1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10154*t**2 - 781*t + 1288*t**2 + 781*t + 2353*t**2)*(t**2 + 0*t**2 + 0*t**2) to p*t**3 + y + o*t + i*t**4 + b*t**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n + 3. Let j be d(2). Let o(f) be the third derivative of f**4\/24 + 13*f**3\/6 - 14*f**2. Let p be o(j). Solve 0 = h - 2*h - p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11595093 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4818, -9626, -14426, -19218?\n\"Answer: 4*d**2 - 4820*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, 8\/5, 2, 83?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*i + 1 = 0, 2*x + 2*x - 3*i = 29. Let c = -2 + 5. Sort x, 4, c in decreasing order.\nAnswer: x, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -1. Suppose 5*n + v = 7*n. What is the remainder when 8 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - u + 16, -u + 5*u = 5*o - 11. Find the second derivative of -d**3 - d + 3 - o wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/4*b**3 - 9\/4*b**2 - 15\/2*b.\nAnswer: 3*b*(b - 5)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -4. Let p = b - -10. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 + -201. Let d = t + 103. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 2}. What is prob of sequence cuc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52298*w**2 - 7*w - 1382 wrt w?\nAnswer: -104596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4942*g = 7295*g - 1212*g - 804825 for g.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -20*j**5\/3 - 686*j**4\/9 - 1406*j**3\/9 - 814*j**2\/9 + 146*j\/9 + 20 = 0.\nAnswer: -9, -1, -5\/6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47970.\nAnswer: 2, 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let k(v) be the third derivative of v**5\/120 - 7*v**3\/6 + 2*v**2. Let s(i) be the first derivative of k(i). Determine s(o(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 1. Let x be d(6). Suppose 4*s = -28 - 28. Let k = s + x. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1 + (-3 - -2). Let l(x) = -x**3 + 2*x**2 - 2*x + 1. Let s be l(i). Let t = -40\/527 - -6\/31. Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -185. Suppose -3*y + 8*y - v = 0. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 + -58. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + (-9 + -4 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {r: 1, f: 1, p: 4, o: 8, k: 1, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 168.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-273*c + 256*c - 444*c).\nAnswer: 461*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**3\/5 - 104811*d**2\/5 + 17731677*d\/5 - 17626869\/5 = 0.\nAnswer: 1, 169, 34767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/76207 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 3, -12023 in descending order.\nAnswer: 69, 3, -12023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7809049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -2 - (-31 + 37 - 18).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 + 8\/3. Suppose 0*r + 22 = 5*d + 4*r, -4*d + 2 = -2*r. Solve 0 = 2*z + c + 6, -d*c = -5*z + k*c - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f - 12 + 27 - 8*f + 2*f. Let h be z(0). Solve -b + 4*b = h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 77\/22 + ((-5)\/(-2) - 1). Let a(x) = x**3 - 5*x**2 - 5*x + 5. Let j be 1\/(-4) - 3\/4. Let f(i) = -i + 1. Let o(u) = j*a(u) + 5*f(u). What is o(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/4 - 1820625*b**2\/4 + 207151052922*b + 14710019289596 = 0. Calculate b.\nAnswer: -71, 910348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(76) + -1 + sqrt(76)))**2 + sqrt(76) + sqrt(76)*2 + -5 + (-5 + sqrt(76) + 1 + sqrt(76) - sqrt(76)*1*-1).\nAnswer: 4*sqrt(19) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253632*f**2 + 178*f + 1554?\nAnswer: -507264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.620056 rounded to 3 dps?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1128, 4888, 11154, 19926, 31204?\nAnswer: 44988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 13*l**2 + 548*l - 4704. What is x(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24969 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d - 3e8d?\nAnswer: -3ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -23. Let t be m\/(-25) + (-350035899)\/(-15). Suppose 0 = -4*f - 26664273 - t. What is f rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.63 + 3.1055863.\nAnswer: 2.4755863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.136 - -26333.98.\nAnswer: 26334.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2 - 2\/5*o**3 + 72 + 78\/5*o = 0. What is o?\nAnswer: -12, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 1 + 1)*(2 + 1 - 2)*(5*z + 2*z - 3*z)*(z**2 - 2*z**2 - 13 + 10).\nAnswer: -8*z**5 - 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3642 + 17854\/5. Let y = s - -71. Is y at least as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 313825 * 0.5.\nAnswer: 156912.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134504?\nAnswer: 2, 17, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b + 930 = 0. Suppose 3*n + 3*n - b = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79934.\nAnswer: 2, 17, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -17316526?\nAnswer: 17316537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12775816 and 11008?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 26 + -42 + (3 - -76).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 37\/(-56) + (-15)\/(-40). Sort 0.1, b, -5, 0 in decreasing order.\nAnswer: 0.1, 0, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-10)*5\/1. Is 18 a factor of 33*(4\/m)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 5*f**2 + 4*f + 2. Let d be c(4). Let o be (-1 - 1) + (7 - d). What is the second smallest value in o, -1\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31623 and 120015.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 33 = 4*d, 11*d + 3*n = 9*d - 29 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 13, 1.2, 2\/7, -1913, 3, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + 7 - 60)\/1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r. Let s(b) = -38*b. What is z(s(q))?\nAnswer: 114*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -48*z. Let y(c) = 170*c**2. What is a(y(p))?\nAnswer: -8160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.958 and 52.\nAnswer: 39.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44017 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 12*s**2 - 7*s + 10*s**2 + 6 - 6*s**2. Let w be ((-2)\/1)\/(6\/21). List the prime factors of z(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718.84 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 - 4*i**2 + 13 + 18*i - 18*i to the form n*i**2 + o*i + q and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468609696 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3588 (base 13) to base 7\nAnswer: -31002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 w when four letters picked without replacement from cpcppcwcpp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywpwpupadwpw. Give prob of picking 1 d, 1 p, and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 322, 719, 1256, 1921, 2702, 3587, 4564?\nAnswer: 5621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7812 divided by 14\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, 20 in descending order.\nAnswer: 20, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6797, 13589, 20377, 27161, 33941, 40717, 47489?\n\"Answer: -2*g**2 + 6798*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most -1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 3288178.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1063 and 4.\nAnswer: -4252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeekke.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) 0.71 (c) 226 (d) 3\/16 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -35, -62, -111, -188, -299?\n\"Answer: -v**3 - 2*v**2 + 2*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -118.7, -3\/4, 4, -7, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 28 = -2*f. Let m be 6\/21 - (-52)\/f. Suppose m*q = 3*q. Solve 20 = 3*z - t + 6*t, -5*z + 5*t + 20 = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(242) + 0 + (sqrt(242)*1)**2)*4 + (sqrt(768) - (sqrt(768)*1 - sqrt(768) - sqrt(768)) - sqrt(768))\/(sqrt(6) - 4*sqrt(6)*-2 - sqrt(6))*2.\nAnswer: 46*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -16*f + 15524. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4505 and 21165?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -752*o**7\/105 - o**6\/120 + 18*o**5\/5 + 1037*o**2. What is the third derivative of x(s) wrt s?\nAnswer: -36096*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61882*j**2 + 123778*j**2 + 2*j - 24*j**3 - 61889*j**2 as x*j + w + y*j**2 + z*j**3 and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 2*i + 2*i + 9 + 5 - 2*i**2 + 5*i**3 to j*i**3 + g*i + d + b*i**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3017 - -0.3016983838. Round k to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 160, 152, 144, 136, 128?\n\"Answer: -8*t + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 461?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 135915\/5661)*(-9 + 6)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -582.8 + 579. Let v = -44 + 175\/4. Is g >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1*(sqrt(720) + -1)*1 + 5)*-2)**2)*1.\nAnswer: 384*sqrt(5) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j + 12*j - 17*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 (base 9) in base 6?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**2 - 811384*u + 16226080 = 0.\nAnswer: 20, 202826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -2*l**5\/15 + 796*l**2. Let k(x) = 21*x. Determine k(s(m)).\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*m + 112 = 0, 4*a - 47*m + 44*m = 204. Calculate the highest common divisor of 160 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 9*l**2 + l + 3. Let i be g(9). Factor i - 12 + 2*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -117. Suppose -2*m = -y*v + 610, -m + 136 = -2*v + 380. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 + 98*u - 15. Give p(-16).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -14071 in ascending order.\nAnswer: -14071, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28a5 (base 13) in base 9?\nAnswer: 8054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32916 + 38782. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 4*y)*(y - 2*y + 3*y) + y**2 - 2*y**2 - 2*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0862798287 - -39.\nAnswer: 38.9137201713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-2*z + 0*z + 0*z) + 119*z - 156*z - 1394*z.\nAnswer: -1429*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*i**2 + 394*i**3 - 2*i**5 + 20*i + 30*i**5 + 276*i**2 - 56 + 272*i**4 + 198*i**3 = 0. Calculate i.\nAnswer: -7, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/4 - 33*s**2\/2 + 360*s - 648.\nAnswer: -3*(s - 12)*(s - 2)*(s + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 o when three letters picked without replacement from {o: 2, s: 4, l: 1, u: 3, q: 2, c: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 527564.89039?\nAnswer: 527565.09039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 5*z, -5*z = 3*f - 3*z + 12. Let x be (-2)\/(f\/(-4)*-2). Sort 1, -5, x.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 24*j**2 - 27*j + 10. Suppose -50 = -5*a + 7*a. What is the tens digit of t(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-120)*(-54)\/(-1485)*-22.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -73, -156, -269?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3*n**2 + 0*n**2 + (4*n + 0*n - 3*n)*(-6*n + 2*n + 2*n) + 5*n - 14*n**2 - 5*n)*(2 - 2 - n**2).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.278 rounded to one dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 220, 222, 224, 226?\n\"Answer: 2*z + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 2. Let r be u(3). Let p be 21\/322*(r - 0). Let v = 764\/621 - p. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 410 = -6*x + 5*a, 160 = x - 5*a. What is the remainder when 517 is divided by x?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**4*n + d**3*n*o**2 + 16*d**3*o**2 - d**2*n*o - d**2*o**2 - 4*d*n*o**2 wrt d?\nAnswer: -144*d*n + 6*n*o**2 + 96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g - 2. Suppose -19*v = -16*v - g. Let x be v\/(13\/(-5) - -3). Solve -4*y - x*b = 19, -2*y - b - 8 = b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10556 + -10556.3. Is i at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865 - 921 + 533 - 127 = -30*h for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q + 6454 + 2*q + 2*q**3 - 249947*q**2 + 249938*q**2 + 6*q wrt q.\nAnswer: 6*q**2 - 18*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -4*p**3\/3 + 102*p. Let w(m) = -4*m**2 - 2*m + 2*m. Give w(y(c)).\nAnswer: -256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 78. Let z(q) = q**3 - q - 5*q + 8*q + q**c. Determine z(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2622139.2108 + 3?\nAnswer: 2622142.2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x + 4*x - 4*x + 2*x - x + 0*x + x + x - x + (-3 + 3 - 2)*(-3*x + 0*x + 5*x) + (8*x - 15*x + 6*x)*(3 + 0 + 0))*(11 - 4 + 13) to z*x + w and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o + 1. Suppose -4*l + 3 = -5*l. Is n(l) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 279\/8 + -13209\/184. Let u = 10161\/322 + w. Calculate the common denominator of ((-303)\/(-54))\/((-4)\/(-6)) and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46925001*a**2*h*p + 258407217*a**2*p**3 + a*h*p**3 wrt h.\nAnswer: 46925001*a**2*p + a*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5277\/4 - 1319. Factor -1\/4*u - w*u**2 + 0.\nAnswer: -u*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6525 - -36?\nAnswer: 6564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -15\/46, 3 in decreasing order.\nAnswer: 5, 4, 3, -15\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -41*a**4\/24 + a**3\/3 + a**2. Let p(i) = -14*i + 1. Let j(n) = -11*p(n) + 4*y(n). Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 232\/3. What is the nearest to s in -0.5, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 194729125 and 38945825.\nAnswer: 194729125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*y - 10 = 0, 334*s - 8*y = 335*s + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/13 and 29\/793.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1384 and 12195808?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 776755 or -5\/38?\nAnswer: 776755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001409 rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 80*d - 1. Suppose 0*q - 5*q = -55. Let f = 17 - q. Is n(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105258 a multiple of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i + 2302 + 234 = -335. Put -4, 0, 1, i in increasing order.\nAnswer: -4, 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67.7 + 52.7. Which is the closest to v? (a) 0 (b) 0.04 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p + 1 = 2*d, -3*d - 9 = 5*p. Suppose -d*t + t = -1. 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 remainder when 5783 is divided by 304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10314 and 64749?\nAnswer: 1165482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 68*p**2 + 130*p + 64.\nAnswer: 2*(p + 1)**2*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -805 + 1237. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(0 + -2 + 2). Let h(p) = -p + 3. What is the units digit of h(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 12545*c + 12540.\nAnswer: 5*(c + 1)*(c + 2508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from -255638.\nAnswer: -255637.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*f - 17 = -3*b, -24 = -4*b + 2*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9452145 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 75\/15 - (0 - -1). Suppose -3*u = -0*u - 3*j - 15, 0 = i*u + 3*j + 15. Suppose u*b = b - 57. What are the prime factors of b?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277582 is divided by 60837.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 1. Let n be m(-7). Let c = -11 - n. Suppose 3 = h + a, -3*h - 2*a + 1 = -10. Calculate the remainder when c is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/4239 + -117334\/46629. Calculate the common denominator of 10\/(-180)*6 + 133\/24 and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 720.\nAnswer: 719.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**5\/100 + w**4\/12 + w**3\/10 - 9*w**2\/10 - 6*w + 7. Let c(d) be the first derivative of t(d). Factor c(x).\nAnswer: (x - 1)*(x + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71443, 142884, 214319, 285748, 357171, 428588?\nAnswer: 499999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 1 - (-3426 + 3462)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16202.5 - -16202. What is the nearest to -0.1 in -4\/3, a, 4, -9\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 286266.84 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*n + 5*z, z = -n - 4*z + 6. Let t(r) = 10*r**2 - 10*r + 9. Let l be t(3). Suppose 11*f - 30 = l. What is the remainder when n is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8 and 29\/25502.\nAnswer: 102008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -20841 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1005\/168 + -6)\/((128\/56)\/8)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 18*j**2 + 19*j + 36. Let x be c(19). Suppose 43*l - x*l - 4739 = 0. What are the prime factors of l?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a**(-1\/15))**(-1\/41) assuming a is positive.\nAnswer: a**(14\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2736) + 1 + -1))**2 - 4*sqrt(133)\/(sqrt(448)*-3 - sqrt(448)).\nAnswer: sqrt(19)\/8 + 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -673 - -1313. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35042 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = 5*i. Let z be i\/(-4) + 12\/(-16). Let k be (-1)\/3 + 49\/84*4. Solve -k*y = -z*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 102 + 102 = 0. Suppose -q + f*q - 1 = 0, q - 5 = -3*w. What is the second derivative of 3*u + 0*u - 8*u**w + 4*u**2 - 3*u**2 wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2171676307 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 7*u**2 - 2*u - 7. Let n be r(-6). Factor -46 + 2*f - f**2 + 86 - n.\nAnswer: -(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360904.\nAnswer: 2, 197, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 342292 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 483565517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -169 - -20?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -6*10\/(-15). Suppose -3*x - v*u + 7 = 0, -x + 0*x + 5*u - 23 = 0. What are the prime factors of (-12)\/x + -7 + 57?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 102*u - 1217. Give q(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 50 - 20 = 0. Suppose -9*q + 4*k = -789, -16*q + k = -11*q - 453. Calculate the remainder when q is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k - 154*k = 60*k + 950 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-1*-1.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b - 73. What is u(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 105.79203?\nAnswer: -10.579203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - ((-3)\/(-1) - -28). Let b be 33\/7 - 8\/i. List the prime factors of b - -3 - (-1 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 3*r**2 - 3*r**2 + 96*r**3 + 0*r**2 - 52*r**3.\nAnswer: 47*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 346062041 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2 + 437763*a - 4377330 = 0. What is a?\nAnswer: 10, 145911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -35. Let d(z) = -2*z**3 + 23*z**2 + 11*z + 15. Let q be d(12). Let i = -5 - -8. Solve -3*a - q*g = -b + 12, -i*g - 9 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -87, -83, -79, -75, -71?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*n**3*z + n**2*z + 466*n*z - 2*n wrt n?\nAnswer: 876*n*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 6) to base 9.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/(2\/15). Let v(d) be the first derivative of d**3\/3 + 3*d**2 + 5*d + 10. Let b be v(-3). Which is greater: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 955173\/137858 - 1\/9847. What is the common denominator of b and -113\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a century in decades?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 10382*k + 15 = 10377*k, 2*w + 6 = -5*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 + -137. Let g = c - 10. Sort 1, 6, 5, g in descending order.\nAnswer: 6, 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 3*c**2 + 4*c. Let l be m(-4). Solve -j = 3*f - 5*j, 5*f - 2*j = l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = -3*y - x, -2*y = 32*x - 37*x + 338. Let a = 252 + y. Calculate the least common multiple of 96 and a.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 + 6 = 0. Let v = -39 + 42. Calculate the highest common divisor of w and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 784, 825, 900, 1009, 1152?\n\"Answer: 17*b**2 - 10*b + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7470*b - 231560. Determine z(31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4*o = 3*j + 31, 0 = -o + 1. Calculate the least common multiple of 8 and j\/21 - 58\/(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 10:49 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 129893142 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**8\/6720 + z**7\/630 - z**6\/360 - z**5\/60 - 19*z**4\/12 - 17*z. Let v(c) be the third derivative of l(c). Calculate v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3675 and 71275?\nAnswer: 10477425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5580 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -4, 3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550*y**2 + 73*y + 86*y + 562*y**2 + 147 = 0. What is y?\nAnswer: -49\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -w + 2*w, 4*w + 20 = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11271652 is divided by 289016?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 5*g**3 + 3*g**4 + 21 + 77*g - 36*g**2 - 7*g**3 + 10*g**2 - 76*g to the form h*g**4 + w*g + v*g**3 + p*g**2 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-28)\/q)**(2\/7) assuming q is positive.\nAnswer: q**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(104) - (sqrt(104) + sqrt(104)*-2)) + sqrt(104))*3)\/(sqrt(8)*2*1).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 6*g**2 - 2*g - 4. Let t be h(-6). Suppose 3*u + 5*f + t = 19, -3*f = -4*u + 34. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1330633937 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/1565, 0.2, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13699 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 3*z**6\/10 - 6*z**2 - 5*z. Differentiate l(i) wrt i.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:02 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 6 (c) -5 (d) -7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**4 - 7*m**4 + 5*m**5 + 0*m**4 + (-2*m**3 + 3 - 3)*(-5 + 5 + 2*m**2) + 4*m**2 - m**5 - 4*m**2 - m**5 + 0*m**3 + 0*m**3.\nAnswer: -m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, d: 4, x: 2}. Give prob of sequence xexd.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*u**2 - 285*u**2 - 48 + 88 - 40.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5932282km?\nAnswer: 593228.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 5. Let d be q(0). Suppose d*y - 50 = 55. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l + 4 - 3 + 1. Let z(x) be the second derivative of 2*x**3\/3 + x**2\/2 - 7*x. Determine -6*n(j) + 10*z(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/55)*v)\/v)**(-2\/17) assuming v is positive.\nAnswer: v**(-106\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i - 2 - i + 6. Let p(u) = -2*u + 9. Let b = 28 - 23. Determine b*m(j) - 2*p(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**6*b*b)**(2\/47) assuming b is positive.\nAnswer: b**(-2\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 244\/970557 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 4*l - 6, z - 2*l - 1 = -11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + (-28)\/(-98). Suppose t = -3*c - 0*z + 2*z + 76, 12 = c + 2*z. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2280*g + 18245. Calculate o(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -899074.54 rounded to the nearest ten thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 34, 50, 66, 82, 98?\n\"Answer: 16*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 134. What is the first derivative of -p*l - 6 + 21*l + 4*l**2 + 19*l + 3*l**2 wrt l?\nAnswer: 14*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 19*f - 6 = -5*r, -4*f + 8 = -r. Suppose o + 2*i - 55 = 0, 129 = 3*o - f*i - 20. Calculate the highest common factor of 663 and o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2*(34\/136)\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 110*t + 533. What is m(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/643 in -3\/17, 5, -7?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f + 2. Let u(y) = -5*y - 1. Give -4*m(c) - 3*u(c).\nAnswer: -c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*d**5 + 0*d + 1\/2*d**3 - 7\/2*d**4 + 7\/2*d**2 + 0 = 0. Calculate d.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -11. Suppose 0 = -a - v*a. Suppose 4*y + 14 = u - a*y, -y = u - 19. What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 + 94 + 110 - 95*s.\nAnswer: -95*s + 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.042 (b) -3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 6*a + 1. Let u be d(9). Let c = u - -108. Calculate the remainder when 7 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 25537.19s?\nAnswer: 25537190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4032 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 712602, -3 in decreasing order.\nAnswer: 712602, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 3*m + 0*m + (-4 - 2 + 4)*(3*m - 4*m - m) - 2*m + 7*m - 2*m + (-2*m + 2*m - 2*m)*(6 - 2 - 3).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213889, 6\/7, 2, -0.4, -4 in descending order.\nAnswer: 213889, 2, 6\/7, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082 - 2075 - (-57 - (3 - 1) - -3) - -2?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 312900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/25, 74\/101, -7?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - -0.46. Let r be (-60)\/(-25) - (-4)\/(-10). Let y be (r\/6)\/((-4)\/6). Which is the second smallest value? (a) y (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*-0.2181445\nAnswer: 0.4799179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79.6 - 15.6. Let j = p - 63.9999938. What is j rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/69? (a) 0 (b) -4 (c) 20.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5706 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 90.10911 months?\nAnswer: 7.5090925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2958818 to the nearest ten thousand.\nAnswer: 2960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6127600625 divided by -5\nAnswer: -1225520125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2. Let x(p) be the third derivative of -p**8\/5040 - 47*p**5\/60 + 44*p**2. Let z(d) be the third derivative of x(d). Determine z(t(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - (-23 - -22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g + 22*g - 258. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27808100 less than 27808096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5*p - 10, -4680*y = -4681*y + 2*p + 2 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, s: 1, c: 1, n: 2, r: 2}. What is prob of sequence nsn?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 9. Let s be ((-2)\/(-4))\/((-12)\/g). Let m = 4 + -6. Which is the closest to 0? (a) 0.3 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -211*x + 421*x - 203*x. Let p(v) = 149*v**2. Give c(p(r)).\nAnswer: 1043*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -1427, 4, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**3 - 6*u**3 + 8*u**3 + u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 288 + (-466 - -200) + 13 + -1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjcjjjjc. Give prob of sequence cjjc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14069.38 centuries in decades?\nAnswer: 140693.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 316.52826 in -2\/7, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 9 = 10*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 154*d**2 + 6*d - 5. Is b(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 1\/30*s**6 + 15*s + 1\/2*s**3 + 1\/12*s**4 + 0 - s**2 - 3\/20*s**5. Factor t(k).\nAnswer: (k - 2)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15929184 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17380 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -457.1 + 4377.1. What is the closest to 0.1 in 2, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**2. Let p(m) = -20*m + 50. Let q(n) = n - 2. Let l(t) = p(t) + 25*q(t). Calculate l(x(c)).\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 510421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -805*23.41.\nAnswer: -18845.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -0.5, 45.8 in descending order.\nAnswer: 45.8, -0.5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 87, -888, 3, 0.4?\nAnswer: -888","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 4. Let y = -8 + 14. Let l(x) = 7*x**2 - 7*x + 15. Let t(g) = -4*g**2 + 4*g - 8. Let c(b) = d*t(b) + y*l(b). Give c(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 1715 - 91 = -108*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 250?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1211871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 6*y + 8. Let c(o) = -o**3 - 7*o + 9. Let g(d) = -5*c(d) + 6*w(d). Let u be g(0). Let a be ((-1)\/(-1))\/(-4*2\/(-56)). Solve a = u*f + 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(3\/5)*n**(-8))**(2\/27))**(-4\/3))**44 assuming n is positive.\nAnswer: n**(13024\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9218673.62 rounded to the nearest one thousand?\nAnswer: 9219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1300) - (-2 + 2 + sqrt(1300))) + (sqrt(1300) - (sqrt(1300) + 2)) + 3)*2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99024 - 99024 - 777*w + 0*w - 4*w + 2*w + (-2 - 2 + 1)*(-5*w - 1 + 1).\nAnswer: -764*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 e when four letters picked without replacement from {m: 7, e: 2, k: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/67463600 and -53\/101195400?\nAnswer: 202390800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l - 475 = -18*l. Let w = 23 + -40. Let u = l - w. Let n(c) = c**2 + 10*c + 11. What is n(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/198 and -1\/9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - u**2 + 1. Let g(y) = y**4 - 5*y**3 - y**2 - 3*y - 4. Let j(t) = 4*b(t) + g(t). Factor j(w).\nAnswer: w*(w - 3)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -17 + 14 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 3*k**2 - 4*k + 6. Let c be r(4). Suppose -5 = w - c*w. Put -1, w, 7 in increasing order.\nAnswer: -1, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161422695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87271531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1251*r + 58809. Give v(-47).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -77950128?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -89, -87, -85, -83, -81?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 130*f**3 + 960*f**2 - 1440*f.\nAnswer: 5*f*(f - 12)**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1867984*f**3 - 7132215 with respect to f.\nAnswer: 5603952*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/16 and -17\/592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4278, -8545, -12812, -17079, -21346, -25613?\n\"Answer: -4267*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 6\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8345.73013 - 8346. Let t = 0.33 + -0.6. Let g = b - t. What is g rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1420.\nAnswer: -1420, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9)*(-424)\/(-14). Let f = 13\/7 - k. What is the common denominator of f and 14\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 308. Let m = r + -74. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 78979\/(-4764) + (-6)\/9. Let y be (-2)\/(-3)*(-12)\/(-1588). Let s = y - x. Find the common denominator of -71\/2 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -17*w + 5. What is s(4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 24*j + 0 + 0 - 2*j. Suppose -11*d + 10 = -6*d. Let g(t) = 37 - 37 - 5*t**2 + 4*t**d. What is g(i(f))?\nAnswer: -484*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 30136375?\nAnswer: 30136403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1 + 7 - 3*i**3 + 4*i - 41*i**2 + 30*i**2 + 7*i. List the prime factors of x(-9).\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.1, -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3 + 76*m**2 - 246*m = 0.\nAnswer: -41, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (0 - 4 - -2). Let k = u - -5. Suppose 2*c - k*c + 15 = t, t - 5 = -2*c. Let b(g) = g. Determine b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525 by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -87, -90, -93, -96, -99, -102?\n\"Answer: -3*j - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 7*z**2 - 9)*(0 - 1 + 0) - 2*z**2 - 1 + 1 + (2*z - z + z)*(-2*z + 0*z + 4*z) - 3*z + 3*z**2 + 3*z as s*z + q + p*z**2 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 1:58 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - -3. Let n be (-3)\/v*(-2660)\/15. Let g = n + -44. Which is the second smallest value? (a) g (b) -2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 13. Suppose -5*q + 2*o = -19, q + 3*o - 7 = 7. Put l, 0, q in descending order.\nAnswer: q, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/2 - 132\/(-2). Suppose -h = -l + 11. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 + 130*j**2 - 33408*j\/5.\nAnswer: -2*j*(j - 261)*(j - 64)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5586*o + 50311. Calculate h(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -996 - -415. Let f = -273 - t. Is f a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, -1\/2 in descending order.\nAnswer: 1, -1\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, 25806.\nAnswer: -4, -2, 2, 25806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**5\/4 + 5*b**4\/2 - 25*b**3\/6 + 39*b. Let p(o) = 0. Calculate o.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = 13057*l - 13105*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(-x - x + x) + 3*x + 9*x - 3*x)*(5*x + 4*x - 2*x).\nAnswer: 77*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 + 147. Let k = -3 + g. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 4)\/(6\/(-8)). Suppose 6*d - 2*d - 5*u + 13 = 0, -5*d = -k*u + 5. Solve -2*h = 5*r - d, 4 = -2*h - 0*r + 2*r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 308\/(-11))\/(-9*(-5)\/(-45)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -908042*g**3 + 2*g**2 - 1155*g + 6765?\nAnswer: -5448252*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 3*t - 2. Let v be l(-3). Let m(o) = 2096*o + 167. Let z be m(3). Suppose 0 = -v*y + 12*y - z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*f**3 + 8*f**2 + 20*f**3 - 8*f**2.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 1 + -3 + (5 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68800 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 611\/30 + -103\/6. Suppose -v = -x - 3, 12 = 3*v - 3. Which is greater: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*q - 7 = 0, 0 = 2*p + 3*q - 2*q + 4. Let a = 3 - p. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h. Let v(r) = 21*r**2. Determine n(v(m)).\nAnswer: -126*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -684, -767, -948, -1239, -1652, -2199, -2892?\nAnswer: -3743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 179 and 52805.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 35530.\nAnswer: 35530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*r*v**2 + r*v + 20*v**2 + 1412*v wrt v?\nAnswer: 26*r + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, b: 3, z: 5, u: 6, m: 2}. What is prob of sequence bbmm?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-72)*24*(-2)\/18*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35299009, -35299005, -35299001, -35298997?\n\"Answer: 4*v - 35299013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1321205, -2642468, -3963731, -5284988, -6606233, -7927460, -9248663, -10569836?\n\"Answer: c**3 - 6*c**2 - 1321252*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxu when three letters picked without replacement from {u: 13, x: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {t: 5, y: 1, k: 3, o: 1, e: 1, j: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -21*h**2 - 21*h + 1. Let c(o) = -110*o - 3. What is c(t(j))?\nAnswer: 2310*j**2 + 2310*j - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 32*r + 2. Let s be h(16). Suppose -y = 3*v - 199, -s*y - 3*y - v + 967 = 0. List the prime factors of y.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**7*(d*d**(-2\/13))\/(d\/(d\/(d**(-2\/9)*d*d)))*((d**(-2)*d)\/d*d**(3\/7))\/(d**(2\/3)*d)**(-1\/33) assuming d is positive.\nAnswer: d**(-2455\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/14889832 and -71\/4.\nAnswer: 14889832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2554, -5106, -7658, -10210, -12762, -15314?\n\"Answer: -2552*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -38 - (-31 - -11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(385\/(-56))*(-10)\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*p**2 + 86*p**2 - 164*p**2 - 197*p**2.\nAnswer: -433*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 45. What is the least common multiple of 66 and t?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -73*f - 85. What is x(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 224653491 or 224653492?\nAnswer: 224653492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 477493556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + z + 12. Determine a(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*d - 380 + 1745 = 64*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 6. Let o be v(6). Suppose 5 = -11*l - 6. Sort l, -4, o in decreasing order.\nAnswer: o, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + b)*(-8*b - 6*b - 4*b)*(b + b + 0*b).\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.96, -9, -39, -1\/4?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 6*a**2 + a + 6. Let q be h(5). Let o = q - -32. Suppose -160*l = -267*l + 6634. Calculate the least common multiple of o and l.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 497, 434, 359, 266, 149, 2, -181?\n\"Answer: -o**3 - 56*o + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28534a3 (base 11) to base 2.\nAnswer: 10010101110100100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91998606 is divided by 1931?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*h - 2*k + 71, h + k = -7. Let s = -10 - h. What is the second smallest value in 5, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 8672 (b) 0.5 (c) 1\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 1*(sqrt(3) + -3) + (sqrt(30)\/(1*sqrt(10) + sqrt(10)))**2 + (sqrt(15) + sqrt(15)*-1*-3)\/(sqrt(180)*2).\nAnswer: -9\/4 + 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105567630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 10. Let u(n) = n**3 + 6*n**2 - n - 4. List the prime factors of u(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110525 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*v + 208 = -593 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/17, -5, 0.5, 2\/5, -4\/5, -74.\nAnswer: -74, -5, -4\/5, 2\/5, 0.5, 35\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 + 18 + -6 + -16 - 12) + 14.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + 2)**2*4*-2 + (-3 + -1*sqrt(1584) + 1)**2.\nAnswer: 16*sqrt(11) + 1468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2394\/(-76)*(99\/(-21) - -3). Solve 0 = 11*j + 10 - i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10001.9358 - 1631.9148. Let s = r + -8350. Let d = 20 - s. What is d rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 25651468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/40 and -73\/43812956.\nAnswer: 438129560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Let g be -10*(-17)\/(153\/18). Suppose 2*i = -10, -i - s*i - g = -b. Calculate the lowest common multiple of 3 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2851173*z**2 - 3632350?\nAnswer: 5702346*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 1, x: 2, r: 2}. What is prob of picking 1 e and 2 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 130769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 j, and 1 p when four letters picked without replacement from {j: 2, p: 4, l: 2, v: 3, b: 2, x: 1}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 26830937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 347895 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 19 + 20. Suppose 5*q = -0*q - 555. Calculate the remainder when q\/2*(-2)\/3 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 1, -8.6253, 2\/19, 0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h - 80. Let i be j(-17). Suppose -3*w = w - 8. Let b(q) = -q**3 + 3*q**2 - q - 1. Let c be b(3). Put c, -6, w, i in descending order.\nAnswer: i, w, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -121*x + 123*x - 3*g, 0 = -x - 2*g - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10027692 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*x = 3*g + 141, 4*g = -4*x + 504. Let j = g - 19. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8737, 17451, 26165, 34879?\n\"Answer: 8714*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*1560.\nAnswer: 56160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one halves of a millennium?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*1*6*-1)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (278 - 274 - (7 + -2)) + 1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 21*z + 10 = 3*q, 0 = -4*q - z + 18. What is the least common multiple of (47 - 3 - q)\/2 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Suppose d + s = 5*s - 2, -j*d = s + 13. Let p = -1 - d. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23d1c (base 14) to base 11.\nAnswer: 5a931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 - 5*q**2 + 5*q**2 - q + 3*q**3 - 4*q**3 + 1. What is h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/360 - 23*m**3\/6 + 15*m**2. Let r(t) be the first derivative of i(t). Let g(h) = 110*h**2. What is r(g(l))?\nAnswer: 12100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 2\/3, 69\/8, -5\/4, -1.7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5*i + 5, -4 = 2*h + 2*i + 2. Let t be 1 + 2 - 2 - h. Solve -4*o = -a + 7, 0*o - t*a - 1 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 491*b - 4903. Let f be k(10). Solve -3*r = 5*t - 10, -4*r + 5*t - f = -32 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbjqqqjoxqxy. What is prob of picking 2 x and 1 b?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 18?\nAnswer: -49\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-5) - (-4)\/(2520\/(-243)). Let k = y - -3\/2. Factor -2\/7*l**2 + 0 - k*l.\nAnswer: -2*l*(l + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 2*l**2 - 91\/30*l**6 + 1 - 2*l**3 + 0*l**4 - 7*l + 0*l**5. Find the second derivative of h(o) wrt o.\nAnswer: -1092*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11.408073 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 350934, -4, -100 in decreasing order.\nAnswer: 350934, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1252*i + 1718.\nAnswer: 1252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079015 + -99.659614?\nAnswer: -99.738629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*c + 32, -5*c = -3*x + x. Suppose -x = 3*p - 5*p. Suppose n - 208 = p*n. What is n rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/126 + 14373\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*d**2 - 13*d**2 + 30*d**2)*(0*d - d + 0*d) - 2*d**3 + 6*d**3 + d**3.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 8*f + 42. What is the remainder when (-5 - f)*(2 + -6) is divided by ((-10)\/(-15))\/((-2)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6687838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 + 1536 + 799*g + 206*g**2 - 223*g - 134*g**2 = 0. What is g?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3302893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 w when three letters picked without replacement from {w: 3, m: 13}?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -13*o + 18*o. What is the highest common divisor of o and 528?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1816, -2424, -3392, -4720, -6408, -8456?\n\"Answer: -180*t**2 - 68*t - 1568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 + -240. What is the remainder when 321 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/30*18\/(-40). Let o = s - 109\/150. Let h = -1967 - -1966.5. Which is the closest to h? (a) -2\/11 (b) -3\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + d = 0, -p + 2*d + d = 0. Let n be -1 + 212 + (p - 0). Suppose 0 = -5*v - 4*f + 276 + 217, 0 = -2*v + 3*f + n. What are the prime factors of v?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*c - 131, 9*c - 13*c + 184 = -d. Calculate the highest common factor of c and 432.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26675768 by -2.\nAnswer: -13337884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - 6. Let r be (-189)\/y*(-2)\/3. List the prime factors of (10\/4)\/(r\/(-238)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/8*4936\/(-617).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + (-20)\/(-6))\/((-2)\/(-3)). Let y(n) = -6*n**3 - n**2 - 2. Let v be y(h). Solve v = 5*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(21\/(-9) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-1110)*(-2310)\/(-1925)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7900749 by 1.\nAnswer: 7900749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19124400 rounded to the nearest one hundred thousand?\nAnswer: 19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 285372158 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 10*u - 8. Let g(i) = -5 + i**2 - u*i**2 - 15*i + 22*i. Calculate g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-60))\/(6\/(-16)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278226 by -2.\nAnswer: -139113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 3. Let q be u(0). Let o = -20.9 + 20. Let z = 0.5 + o. Which is the second smallest value? (a) z (b) -1\/8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**5 - 2*y**5 - 2*y**5)*(-10 + 1 + 2).\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39b (base 13) in base 11?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 372*o - 736. Let q be w(2). Let t(z) = z**3 - 5*z**2 - 6*z + 2. Let u be t(6). Solve 0 = 3*l + 5*p + q + 11, 4*l - 5*p + u = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3. Let s = 6649.9 - 6650. Which is the nearest to z? (a) 0.2 (b) s (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*x = 5*o - 210, 2*o = 4*x + 146. Suppose 4*t - 201 = -5*n - o, 5*t = 3*n - 110. What is the remainder when n is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4475091124.\nAnswer: 2, 7, 41, 3898163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - k**2 + k**3)*(5*k - 17*k + 5*k).\nAnswer: -7*k**4 - 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000298 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -6.9. Do -2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/33 and 4 - (0 - 696\/(-81) - 2)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59.995 + -60. Round j to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 927*c + 266121. Give p(-230).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.77 - -0.23. Let h = 8.7 - i. What is h rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(13)*2 + sqrt(13)) + 5)**2.\nAnswer: 60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -146. What is the remainder when j is divided by 2 + 6\/(-2) + 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3511 is divided by 883?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2689, -2634, -2581, -2530, -2481?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from jfnzmhj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-13)\/(78\/24) - (-2 + 12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f - 1. Let i be -3 + (-3)\/(-1) - 1. Let h(k) = -k. Let v(q) = i*z(q) - 5*h(q). Suppose -5*b + 12 - 22 = 0. What is v(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - 897\/7. Let d = 7 - 11. Which is the nearest to 2\/3? (a) 7 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003201222 (base 4) in base 6?\nAnswer: -5532254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.629 + -11.589. Which is the nearest to 0.09? (a) t (b) -1\/5 (c) 3\/5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 35 + 162 = -3*c, 3*y + 2*c - 152 = 0. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 7 + 9*f**4 - 7 + 0 - 3*f**5 - 3*f**4.\nAnswer: -3*f**3*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*b**3*j - 2*b**2*j*p - 245*j*p + 2*j - 2*p wrt b?\nAnswer: -99*b**2*j - 4*b*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**3 - 2*v**2 + 2*v - 1. Let g be o(1). Let s(d) = d - 4. Let h be s(g). Is (0 - -30)\/h + 0 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72981 or 72992?\nAnswer: 72992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 155 - 182 - (51 - (-1 - 0)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7498000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2. Let o(u) be the first derivative of 41\/12*u**4 + 0*u**3 + 0*u**2 - 9 + 19*u. Let z(n) be the first derivative of o(n). Give z(q(d)).\nAnswer: 164*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:57 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*s - 45*s + 160 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/21 + 14*i\/3 - 6860.\nAnswer: 2*(i - 245)*(i + 294)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -p + 40. Does 2 divide 1*6\/(-4)*(3 + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155819 by 139.\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (72\/16)\/9*-290. Does 7 divide k*(816\/(-30))\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100177129084.67 + 0.69\nAnswer: 100177129085.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 0*c**2 + 0*c**3 + 15*c + 0*c**6 + 0*c**5 + 0 + 0*c**7 - 9\/28*c**8 - 5\/4*c**4. Find the third derivative of q(h) wrt h.\nAnswer: -2160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*((-1 + sqrt(684) - sqrt(684)) + 0)**2)*-4*2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11962*p**4 - 3*p**3 + 11*p**2 - 5352241*p?\nAnswer: -143544*p**2 - 18*p + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*p - 8 = -2*k, 41 = 2*k + p. Calculate the remainder when -5 + 32*70\/56 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 491 times -416\nAnswer: -204256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/((-600)\/135))\/((-2)\/10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**3 - 3*z**2 - 1. Let g(t) = 18*t**3 - 12*t**2 - 2*t + 1636. Give g(n) - 4*o(n).\nAnswer: 2*n**3 - 2*n + 1640","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 29*y**4\/2 + 13*y - 92. What is the first derivative of p(b) wrt b?\nAnswer: 174*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -3*f - 858 + 897, f + 39*c = -f + 544 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4}. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1241 - 811. Find the common denominator of 85\/524 and ((-4)\/(8\/(-69)))\/(s\/(-43)).\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 63 = y, -3*y = -0*i + i - 141. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155*x**5 - 66*x - 1 + 1 - 177*x**5 wrt x?\nAnswer: -440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5032592 and 592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 699603 (b) -3 (c) -5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 210683, 210700, 210721, 210740, 210751, 210748?\n\"Answer: -u**3 + 8*u**2 + 210676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 206048\/56 - (-1 + 3\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/(-28)*(0 - -116)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1267\/4 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*z = 2*o + 4, -2*o = 4*z - 22. Let t = o + -1. Solve h + t = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 241.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15 = -6*s + 3*s, 0 = -2*s - 2*c + 30. Calculate the smallest common multiple of 8 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -96. Let l = 69 + -30. Calculate the remainder when o is divided by (0 - 4)*l\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.77 + 1.74. Let s = 0.1 + 0.1. Let q = -0.2 + s. Which is the second biggest value? (a) q (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318*r**3 - 904*r**3 + 324*r**3 + 239*r**3.\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 46 = 4*l, 5*l = 2*f - 17 - 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 127*f + 56*f + 19*f**3 - 15*f**3 - 6*f.\nAnswer: 2*f**3 + 177*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529708465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 62412227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -94724.44 to the nearest one thousand.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w + 2 = -2*i, 4*w - 4*i - 20 = 0. Suppose -2*y - 350 = -4*p, 3*p = 2*y + 260 + w. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 33625*n**2 - 1071035*n + 1037415.\nAnswer: -5*(n - 6693)*(n - 31)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwnrggrwwre. What is prob of picking 1 e, 1 r, 1 n, and 1 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:12 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + 201*2\/9. Suppose 0 = -h - 2*a + 587, -4*h + 2336 = 13*a - 17*a. Calculate the highest common divisor of h and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 4*j - 95 = 0. Let f = 38\/5 + -112\/15. What is the smallest value in f, j, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-3) + -4*(-4)\/48\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-37 + (-50 - -62))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/12*13400574\/110 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.94 and 0.5.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 940*q**2 - 19504*q.\nAnswer: -4*q*(q + 23)*(q + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 17\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 16*i. Let u(y) = -121*y. Determine u(x(a)).\nAnswer: -1936*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*v - 20*v + 6*v)*(0*v**2 + 4*v**2 - 2*v**2)*(-v + 3*v + 0*v) to j + n*v**4 + m*v**3 + a*v + y*v**2 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m. Let z = -67 + 71. Let o be (2\/(z\/3))\/(3\/(-6)). Calculate i(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veuveruorveh. Give prob of picking 1 o and 2 e.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**2*z**3 + 482*s**2*z + 79*s*z**3 + 598576*z**3 wrt s?\nAnswer: 4*s*z**3 + 964*s*z + 79*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -36 - (-7 + (3 - -6) - 9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5 - 17. Suppose 2 = 2*k, -4*a = -v*k - 31 - 61. Let p be 3420\/14*(a - 31). What is p rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7225)\/5950 + ((-3)\/2 + 1)*-3. Sort 4, -1\/31, g, -12.\nAnswer: -12, -1\/31, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3961*j**2 + 3928*j**2 + 6 + 0 to the form d*j**2 + p + v*j and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 52015.\nAnswer: -15604.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 24273974*b**2 + 12136990*b**2 + 12136986*b**2 + 3.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.025 and -9.\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2 - 4*h - 3 + 5*h. Let w be v(8). Suppose 2*o - w*o + 10 = 0. Calculate the greatest common divisor of 90 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4433, -8170, -11907?\nAnswer: -15644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/24 + 4)*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - o)*(2*o + 2*o**2 - 2*o + (-3*o + o - 2*o)*(-4*o + 2*o + 0*o)) + 2*o**3 - o + o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*w + 24, -1 = -4*s - 9. Let q = w - -17. What is the units digit of -1 + q + 3\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/1236388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.312 + -3.312. Sort h, -0.03, -22 in descending order.\nAnswer: h, -0.03, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - c + 94 = -763, 2*h - 4*c - 562 = 0. Is h a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = 5*c. Suppose -16 + 4 = c*v. What is the common denominator of 27\/14 and 177\/22 + v + 0?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14462\/(-4)*27*(-88)\/1386.\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -33. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9*i*i*i**12)\/(i**(-1))**(-39) assuming i is positive.\nAnswer: i**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 16. Let u = -502 + 985. Let y = -470 + u. Give m(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5034, -4948, -4800, -4584, -4294?\n\"Answer: a**3 + 25*a**2 + 4*a - 5064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -5.8. Let l = -4.75 + 1.75. Sort -1, f, l in ascending order.\nAnswer: l, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 52, 43, 10?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 328\/(-16))*(-8)\/14. What is the remainder when 89 is divided by -23*((-14)\/c + 6\/15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/24 + 2662\/8. Let o be u\/70 + -2 + 8\/20. Is o greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*1*sqrt(78)*-3)\/(-5*-6*sqrt(24)\/sqrt(4))*3.\nAnswer: 3*sqrt(13)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 270679 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10761832?\nAnswer: 2, 1345229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 2*s + 210 = -59*i - 0*s - 148, -4*i - 3*s - 33 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 37*k + 46\/21*k**7 + 5\/6*k**4 + 0*k**2 + 0*k**3 + 0*k**6 + 0 + 0*k**5. Find the third derivative of z(c) wrt c.\nAnswer: 5520*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7035, -14079, -21161, -28299, -35511, -42815, -50229?\nAnswer: -57771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*s + o, 116*s + 2*o = 113*s - 17. Sort 2, -3, s, 4, -8 in increasing order.\nAnswer: -8, -3, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6)*t)**36\/((t\/(t*t**7*t))\/t*t*t)**(-26\/5) assuming t is positive.\nAnswer: t**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522*i + 82 - 168 + 87.\nAnswer: 522*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502 = 4*c - 486. Let z be 21\/(-5) - (-2)\/(-5). Which is bigger: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/14)\/((-1)\/(-21)). Suppose -r + c + 6 = 0. What is the remainder when (-6 + -1)*(-1 + -2) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -7\/5*f**2 + 24\/5*f + 2\/15*f**3 - 41. Suppose j(i) = 0. What is i?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200.0546 millilitres to litres.\nAnswer: 0.2000546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -256387 and -256386 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-5 + 3 + sqrt(32) + 4*sqrt(32).\nAnswer: 3 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23755675\/29868 - -15110\/19. Calculate the common denominator of b and 95\/84.\nAnswer: 11004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*(-462)\/(-63). Calculate the greatest common factor of 22 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 - 1884*l**3 + 17088*l**2 - 28580*l - 47550 = 0. Calculate l.\nAnswer: -951, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9695729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 1, k: 1, t: 1, e: 1}. Give prob of picking 1 e, 1 t, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-2*36\/(-9)*7\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 31*d**2 + 11*d - 17. Does 12 divide y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:56 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 6. Let t be n(7). Let b be (t - (1 + -2))\/(-1). What is the third biggest value in 4, -0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24*-5.44\nAnswer: 1.3056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504931 = -1116*f + 1109*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (7 - 4) - (8 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143169348 by 3.\nAnswer: -47723116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -32204 < -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.79 and 1646336.\nAnswer: 1646336.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1154*m. Let k(a) = -2*a**2 + 223170*a. Determine k(d(b)).\nAnswer: -2663432*b**2 + 257538180*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/19 + (-1680)\/(-798).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45415827 to the power of 1\/2, to the nearest integer?\nAnswer: 6739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, c: 2, j: 4}. Give prob of picking 2 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112021 (base 3) to base 14.\nAnswer: -1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(4\/7)*h*h*((h*h\/(h*h**(-1)))\/h*h)\/h)\/(h*h\/(h\/(((h\/(h\/(h\/h**0)*h))\/h)\/h))*h*h*h*(h**(-2)*h)\/h*h*h) assuming h is positive.\nAnswer: h**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 21 = 2*b + 4*q, -q + 13 = -b. Let w be (-2)\/b + 11\/330. Suppose 2*a = 3*a - 5. What is the nearest to w in 0.4, a, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1071 and 75659850.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5151329, 5151331, 5151327, 5151317, 5151301, 5151279, 5151251?\nAnswer: 5151217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1299376 and 364.\nAnswer: 9095632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from vvsjvjfssvvffwswffvv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 615. What are the prime factors of a(68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7004*o + 36775 = -53930 - 5241 - 16118 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/15 + 0 + (-398)\/(-6). Find the third derivative of 70*m + 13 - j*m**5 - m**2 - 70*m wrt m.\nAnswer: -3960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {m: 1, x: 1, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 580 = w. List the prime factors of w.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18)*15*(-2)\/(-4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/4725*2*(-35)\/30?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/424 and -25\/477.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776290 is divided by 258361?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(875\/500*(-5)\/7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184524933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6*n + 3)*(-1 + 1 + 4*n)*(2*n + 2*n - 5*n + (-4 + 0 + 2)*(-3*n + 4*n + n)).\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 20*n**3 - 3*n**2 - 5*n + 82. Does 35 divide l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/11)\/((4125\/10)\/(-33))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -708389, -1416791, -2125207, -2833643, -3542105, -4250599, -4959131?\n\"Answer: -z**3 - z**2 - 708392*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/26 - (-477)\/(-1378))*28. Let g be (l\/(-105) - (-4)\/(-30))\/(-4). Factor 0 + g*u + 30*u**4 - 21*u**5 + 24\/7*u**2 + 156\/7*u**3.\nAnswer: -3*u**2*(u - 2)*(7*u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 23132331?\nAnswer: -23132332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 7, v: 2, f: 10}. Give prob of sequence dv.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3558*d - d**2 + 3578*d - 3 + 3*d**2 - 2 to t*d + a*d**2 + j and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082\/16 + (-1)\/8 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37623, -75244, -112863, -150480?\n\"Answer: i**2 - 37624*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1731*l**3 + 6*l**2 + 47251*l wrt l.\nAnswer: 10386*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1029779 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 49710 = 3*u + 49705, -5*u + z + 30 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -244900 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-135)\/5)\/(-3) - 2. Find k such that q*k + 3*k - 18 + 3*k**2 + 2*k + 3*k = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m**2 + 242*m + 180. Calculate the least common multiple of n(20) and 10.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Suppose -44 = -k - w, -3*k - 3*w = -2*w - 124. Suppose -y*n + n = -k. Calculate the lowest common multiple of 12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13\/9 + -7\/9. What is the closest to c in -5\/3, 0.5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/5 and -71\/63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 98*d - 97. Calculate the remainder when j(42) is divided by 158.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208.62622*-1.6\nAnswer: -333.801952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/3, 8, -6, -4, -2, -178?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -285781 in 0.202, 3, 1\/3?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.63 + -32. Let r = s - -0.27. What is the closest to r in 2, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.0189\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 465\/93*(-14)\/455?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 222152 to the power of 1\/2, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/588683 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irzlmlzt. Give prob of picking 1 i and 2 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 - 2 = 0, 5*m - 4 = 2*b. Let t be 0\/b + 1 + 2. Solve w - 3*w = t*c + 8, 5*w + 5*c + 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-21)\/(g**(2\/5))**(-1\/66) assuming g is positive.\nAnswer: g**(-3464\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1397083*r - 13. Let j be u(-11). Suppose 0 = -3*d + 5*d - 16935800. Let i = j - d. Round i to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 1507 + 1443 = -2*k, -26*k - 23 = -25*k + n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -41, -12\/41, 0.08, 0.07?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 4197 - 4235 = -26*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (3\/(4 + -3) + -1). Suppose -x*g = -9*g + 26831. Let z = -229897\/60 + g. Find the common denominator of 77\/6 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 + 548. What are the prime factors of f?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 28. Let t be (-60)\/52 + s\/65. Let k(w) = -5*w**2 + 7*w + 3. Let d(c) = -c**2 + c + 1. What is t*k(j) + 3*d(j)?\nAnswer: 2*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.5 (c) -302550\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 4*q**2 - 5*q**2)*(q**3 - 4*q**3 + 2*q**3) + (-34 - 5*q + 34)*(316*q**4 + 277*q**4 - 451*q**4).\nAnswer: -707*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 - 4 - (1 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496287531?\nAnswer: 3, 55143059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 29. Suppose -15 = -p*y - 7. Let f(z) = 2*z**2 - z - 1. Let s(a) = -4*a**2 + 2*a + 1. Let r(g) = -5*f(g) - 3*s(g). What is r(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Let k be (d - 3)\/((-2)\/74). Let f = 62 + k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 50*t - 55. Suppose -p + 5 = 2*f - 9, 3*p = f + 7. What is the tens digit of d(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2 - (-65)\/10)*-1. Let o(r) = -15*r**2 + 16*r - 8. Let u(d) = 10*d**2 - 10*d + 5. Let x(t) = b*o(t) - 8*u(t). Let m(h) = -3*h**2. What is m(x(y))?\nAnswer: -75*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 12, -2*r + 5*x + 101 = 111. Let f(a) = a**3 + 21*a**2 + 21*a + 8. Give f(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 357*f**4 - 2*f**2 - 3*f**2 + 5*f**2 - 440*f + 3162*f**4 wrt f?\nAnswer: 42228*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1099 - 674. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -195 + -6?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-2 - 10) + (-180 - -110)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -4. Suppose 2*v - o*v + 288 = 0. Let u = -65 + v. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/5)\/((-9)\/30). Suppose -l + 132 - 133 = 0. Let q = -6 - l. Sort o, q, 2.\nAnswer: q, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*o - 1. Suppose o*v + 12 = 0, 4*z + 0*v - 49595 = v. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.024 - 18. What is f rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -76?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 243*b**8\/14 + b**7\/42 + 611*b**4\/12 + 23*b + 26. Find the third derivative of i(j) wrt j.\nAnswer: 116640*j**3 + 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 minus -0.054?\nAnswer: 2.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1828558 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-21)*3\/(-2). Let q = -6 + 6.5. Which is the closest to -1? (a) l (b) q (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, 0.1015788 in ascending order.\nAnswer: -0.2, 0.1015788, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.1 and 75224.\nAnswer: -233194.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 2 - 3*h**3 + 12*h**3 - 12 + 19 to c*h**3 + k*h**2 + u + a*h and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v**2 - 2800806*v - 1120324.\nAnswer: 2*(v - 280081)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (10\/25 - (-3)\/5). Let h be 5\/15*12*v\/(-8). What is the units digit of (-3)\/h*(23 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12921*i + 20 = 12925*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1075.388 - -1075. What is v rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1635242 - -0.1641. Round z to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0 (c) -1\/6 (d) 27.56 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 9. Let g be 25*3\/h*-1. Suppose 10 = i - 2*i + 2*u, -5*u + g = 0. Solve -r = -i*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/2))**25)**26 assuming h is positive.\nAnswer: h**975","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 3*y - 1. Let s be h(3). Let d be s\/(-6)*(-3)\/(-2). Let u(x) = -4*x + 3*x + d*x. What is u(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/19)*h**29)\/(h**(-4\/33)*((h\/h**9)\/h)\/h))**(-1\/13) assuming h is positive.\nAnswer: h**(-24430\/8151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1800173, -3600344, -5400515?\nAnswer: -7200686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.3 + -32. Let w = 0.9 + l. Let n = -0.2 + w. What is the third smallest value in 4, 3, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 269, 382, 493, 602, 709?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16559 - 8707. Which is bigger: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3977 - -9714. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, -1, 5, -2, 6298 in decreasing order.\nAnswer: 6298, 16, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine sixteenths of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9078452*l**2*u**2 + 14*l**2*u - 2*l*u - 1680859*l + 2*u**3 - 2*u wrt u.\nAnswer: -18156904*l**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 123*n**3 + 3*n.\nAnswer: -123*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 2*r**2 + 2*r + 1. Let u(y) = -10*y**3 + 8*y**2 - 76*y - 4. Calculate -u(i) + 4*x(i).\nAnswer: 2*i**3 + 84*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017384 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3648585 is divided by 211?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1835.4 - -1738.4. What is the third smallest value in 0, u, 3\/4, 0.4, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153536 by -76768.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9164273 and 4?\nAnswer: 36657092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n + 14. Let u be (-2 - 24\/9) + 8\/12. Let q be x(u). Is (-3*(-9609)\/45)\/((-2)\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1377)*-1 - sqrt(1377) - sqrt(1377)))**2 + -1*(sqrt(1377) - (0 + sqrt(1377)))**2 + -4.\nAnswer: 49568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, 4, 0.0025, 17 in ascending order.\nAnswer: -8\/7, 0.0025, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:25 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -522190 + 658?\nAnswer: -521633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, 1\/16, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 4*p - 1, 36*p = 33*p + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038217288386 minus 4?\nAnswer: -3.961782711614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13218 divided by 118?\nAnswer: 6609\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-4 + 5 - (sqrt(84)\/(sqrt(24)\/sqrt(2)) + -4))**2.\nAnswer: -234*sqrt(7) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 304 - 997398*t + 997400*t - 3*t**2 + t**3 to the form h*t**3 + q*t + y*t**2 + j and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 9*b - 8. Let d be p(7). Factor 5 - d*j + 2*j**2 - 2 + 1.\nAnswer: 2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m = -30*m + 13*m - 0*m + 848 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7. Suppose -256 = -15*j - 16. Solve -10 = -2*o + q - 4*q, l = 5*o + 3*q - j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-60)\/(-16) + (-34)\/(-40). Sort -1.1, 2, -0.3, a in descending order.\nAnswer: 2, a, -0.3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(0 + -5) - -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + 1 + (15 - 10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o + 135 = 72*o. Find the common denominator of (11\/110)\/(12\/o*-6) and 109\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -293 + 1218*q**3 - 487*q**3 - 585*q**3 wrt q.\nAnswer: 438*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 + 21 = 0. Suppose z - h = q, -z + 2*z - 12 = 2*q. Which is the nearest to 1? (a) z (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -3)\/(4\/4). Is v >= 7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - l + 194. Let a(p) = -1922*p**2 + 980*p**2 + 943*p**2. Determine s(a(f)).\nAnswer: -f**4 - f**2 + 194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.161 - -1.133. Let h = a + -0.97200627. Round h to seven dps.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-20)*(r\/(r*r*r**(2\/3)\/r*r))\/r)\/(r**(-14\/5)*r)**(4\/7))**23 assuming r is positive.\nAnswer: r**(-52256\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 439\/878*12\/39 - 162\/1222?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19839729 by 3.\nAnswer: 6613243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 - 1.4. Let w = -7.6 + 2.6. What is the biggest value in -0.06, 5, w, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062215 to six decimal places.\nAnswer: -0.000622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*c**5 + 103*c**5 - 55*c**5 - 17*c**4 + 4*c**2 + c**4 + 2*c**5 - c**4 + (c - 4*c + 2*c)*(-3*c**4 + 0*c**4 + 4*c**4) + 2*c**5 + 0*c**5 + c**5.\nAnswer: 2*c**5 - 17*c**4 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 3*b + b)*(-2 - 1 + 18) + (-1 - b + 1)*(0 + 5 - 3) + (-1 + 1 - 2)*(1035*b - 533*b - 722*b) as x*b + v and give x.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -34. Let m be (-4 - -1) + -3 + 2. Is (-605)\/k - (-1)\/m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 22 + 3 = 0. Let w = -70 + 74. Solve -2*t = -4*m - 6, m = r*m - w*t + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 2*p - 144. Let f = -16 - p. Suppose t + 3 = 0, 4*l - f*l - 5*t + 1765 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.23 (b) 331 (c) 5 (d) -5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 - 3*f - 2. Let y(g) = 25*g**2 - 218*g - 8. Determine 4*w(j) - y(j).\nAnswer: -j**2 + 206*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -820220 divided by -937?\nAnswer: 820220\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2215 - -6.7785. Put f, -2, -14, -3\/2 in ascending order.\nAnswer: -14, -2, -3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**6\/200 - f**5\/50 - f**4\/40 - 15*f**2\/2 - 8. Let y(o) be the second derivative of s(o). Factor y(n).\nAnswer: -3*n*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(153) + -5.\nAnswer: -8 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0.11?\nAnswer: 4.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 67*u + 1121. Give n(-14).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(11160\/(-510))*(-8)\/(-68)?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -11*k - 266, k - 814*v + 8 + 6 + 2 = -817*v for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -22*h - 103. Let s(v) = v - 3. What is o(g) + 13*s(g)?\nAnswer: -9*g - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(209) + sqrt(209) + sqrt(209)*2)\/sqrt(11))**2 + ((sqrt(228)*2 - sqrt(228))\/sqrt(12))**2).\nAnswer: -1938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255762913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/2 - 273\/14*(6 + -14). Solve 166*u - o*u + 105 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1396 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-3)\/(-2)) - (3 - 10). Solve -p*t + t = -20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-248581)\/(-331))\/((-1)\/(-11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 395960 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -12 - 4. Suppose 0 = -4*o + 3*m - 9, -2*o + 0*m = -4*m + 12. Solve o = 3*p + 3*n - 3, 3*n + 5 = -3*p + j*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.106 - -0.394. Let p = 0.3 - 0.1. Which is the closest to -2\/3? (a) x (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 408 + -408. Suppose z = 4*h - 47, 0*h - h - 4*z + 33 = l. Solve h = 4*i + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-134)\/(-469))\/(0 - -1). Let q(m) = m - 1. Let l be q(-3). Sort s, 0.3, l in descending order.\nAnswer: 0.3, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 4*b - 6. Let s be p(-6). Let y be (9\/(-6) - -2)*10. Let j = y - s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 35 + y**2 - 2 - 3*y**2 + 4*y**2 + 4. Let p(z) = 7*z. Determine p(w(c)).\nAnswer: 14*c**2 + 259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3 (c) -0.0208 (d) -1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6914 + 13827 - 6903 - 207*h to the form q + a*h and give a.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/5 and -23\/799175.\nAnswer: 799175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 16. Let w be d(12). Suppose 5*u - 7 = -0*n + 2*n, -2*u - 10 = -w*n. Let m be (1\/2)\/((-1)\/2). Sort u, 0, m.\nAnswer: m, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25052254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiiyyynj. What is prob of sequence nn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -908, -9065, -22654, -41675?\n\"Answer: -2716*z**2 - 9*z + 1817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133639 is divided by 325?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7020 is divided by 197?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*s**3 - 72*s**3 - 140*s**2 + 143*s**2.\nAnswer: 174*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, x: 5, a: 1, h: 9}. Give prob of picking 2 n and 1 a.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 22555?\nAnswer: 23004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = 2*q. Let c = 5 - q. Let y be c\/(1\/((-1)\/(-1))). Solve y = v - 3 - 1, 2*h + 3*v = 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(40\/(-3)))\/((-135)\/(-120))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19106\/369 + -73 - -23\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120.423 and 0.3?\nAnswer: 36.1269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1210? (a) 3 (b) 8 (c) 1\/2 (d) 278 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 38\/5*b**2 - 726\/5 - 2\/5*b**3 = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69317 or -69314?\nAnswer: -69314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203037 is divided by 4834?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 400, 754, 1076, 1372, 1648, 1910, 2164, 2416?\n\"Answer: u**3 - 22*u**2 + 413*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/59 in 1\/2, -2\/7, -17\/46?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64058 divided by 257.\nAnswer: 64058\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sso when three letters picked without replacement from {o: 4, s: 7, l: 4, n: 3}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/(-3)*-1*(-3)\/(-707)). Calculate the highest common factor of 21 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27329, -54651, -81991, -109355, -136749?\n\"Answer: -f**3 - 3*f**2 - 27306*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 5. Suppose u = -k + 10, -u - 3*u + 8 = -4*k. What are the prime factors of r(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14226.74 + 14227. Let g be (2\/(-5))\/(72\/(-30)). What is the biggest value in -2\/3, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvakvaavka. What is prob of sequence kk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*n + 4*d = -124*n - 204, 0 = 3*d. What is the highest common divisor of n and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/30)\/((-100516)\/(-57990)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1510 divided by -68921\nAnswer: -1510\/68921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18*((-2)\/(-28) + 0). Let u = -63 + 65. Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 7*s - 7*s)*(s - 5*s - 6*s + (0*s + 0*s + 2*s)*(-3 + 0 + 1) + 4 - 4 - 3*s + (2 + 3 - 4)*(4*s - 2*s - s)).\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1510 - -1125?\nAnswer: 2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskrrrs. Give prob of picking 1 r and 1 s.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23571, -23570, -23569, -23568, -23567, -23566?\nAnswer: -23565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17725217 (base 8) to base 11.\nAnswer: -239a89a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 856152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1527\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 356 - 2146 - 409 + 3244*s wrt s?\nAnswer: 3244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 0*h**2 - 54*h**3 - 8\/3*h**6 - 60*h**4 - 118\/5*h**5 - 2\/21*h**7 - 23*h + 0. Factor w(j).\nAnswer: -4*j*(j + 1)**2*(j + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 7*g + 5. Let z(n) = 9 + 698*n - 2 - 695*n. Let h be z(0). Give o(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 669, 1328, 1987, 2646?\n\"Answer: 659*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01152 - -0.042007524.\nAnswer: 0.053527524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 + 1059\/10. What is the biggest value in -3, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*v**3 + 9*v**2 - 1635.\nAnswer: -84*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220 - -317. Let f = m - 84.8. What is f rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 15) to base 12\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9491306 times -16\nAnswer: -151860896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w + 12. Let u be c(2). What is the smallest value in 0, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683.81519 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2706952 and 22?\nAnswer: 29776472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/2 + 299*s**4\/2 - 24211*s**3\/2 + 278453*s**2\/2 - 454454*s + 327184 = 0.\nAnswer: 1, 4, 8, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + -68. Suppose 0*v + 4 = -2*v, h*c = -3*v + 250794. Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -35, -87, 1 in descending order.\nAnswer: 3, 2, 1, -35, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q + 8 = -m, 10 = 3*m - 5*q. Suppose m = 3*s - 3*j, 0 = s + j - 6*j + 16. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-80)\/(-8) + (-1290)\/100 and -29\/540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r + 7, -c + 60 = 4*r. Let t = -20 + c. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193011 divided by 2140?\nAnswer: -193011\/2140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hha when three letters picked without replacement from {a: 6, y: 1, h: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:37 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161727\/112 - 1444. Let z = 443\/560 - k. Is z greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let o(x) = 186665*x + 4. Let h(k) = 3*f(k) + o(k). Let u be h(-3). Round u to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(5\/(30\/4)). Suppose -4*c - 2*x = -0*c - 122, -4*x = -f*c + 86. What is the remainder when -2 + (-7)\/(14\/(-240)) is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46814 - -29289.28. Let o = q + 17524.8920193. Let b = 0.172 - o. What is b rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48249*k**2*l**2 - 220*k**2 - 5*k wrt l?\nAnswer: 96498*k**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*f + 3*w, -5*f + 12 = -5*w - 28. Let k(o) = -7*o**2 - 3*o + 1. Let d be k(f). What is d rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19432 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2378 is divided by 408?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.9 - -3. Let l = -4 + 1. Let q = 0.05 + -0.25. What is the closest to a in -4, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w + 2*w)*((-5*w + w + 3*w)*(-3 - 1 + 2) - w + 0*w + 2*w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4 + 2. Let y be (-15)\/k*10\/(-15). Suppose -5 - y = -5*j. Solve -j*z + 8 = 0, -2*t - t + 29 = 5*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11\/c*c*c**(-12))\/((c**10*c)\/c**(-2\/29)) assuming c is positive.\nAnswer: c**(-350\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:03 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/7)*v**(-17\/2)*v*(v*v*v**(-2\/11))**17 assuming v is positive.\nAnswer: v**(3517\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10 = 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2820)\/3008*12\/5\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.11 + -0.11. Let h = 5333 - 5332.93. Sort y, -1\/10, -2, h in descending order.\nAnswer: y, h, -1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1100)*1 - (sqrt(396) + sqrt(396) + 1 + -2)**2.\nAnswer: -1585 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1562.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s. Let n(b) = 52*b - 232. Determine n(y) + 6*x(y).\nAnswer: -2*y - 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -419.32 (b) 0 (c) -5 (d) 171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56793019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057675 rounded to seven dps?\nAnswer: 0.0000577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*p - 3*p + 4934 = -1082 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001676 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(55) + (sqrt(55) - sqrt(220)*1) - sqrt(55)))\/(sqrt(1100)*1*-3) + 1)*-1.\nAnswer: -1 + sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.17 - 0.83. Let k = 21 + n. Let m = 102 + -107. What is the biggest value in m, 4, k, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180 - 144. What is the remainder when 142 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*5\/25*13*2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31632413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 - -24132?\nAnswer: 24221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -366\/11 (c) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35733 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*i + 20*c, -5*c = -i - c + 2*c - 26 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(6 - 9\/3). Let z = -12760 + 12775. Solve 0 = z*b - 16*b + r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 g when four letters picked without replacement from {g: 17, o: 3}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/7 (b) -2.7 (c) -433647\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/612*-9 + 6\/(-40). Suppose -3*v + 84 = 15. Sort v, 2, 2\/15, u in descending order.\nAnswer: v, 2, 2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(343) + 0 + sqrt(343) + -1*sqrt(343))**2*-4 + (1*(-3 + 1 + sqrt(343)))**2.\nAnswer: -1025 - 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 132.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 6 - -1 - 5 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 - 15. Let z = 224 + j. Solve 0 = -5*c + z - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**3 - 2*f + 3*f**3 + 4*f)*(-23*f + 8*f - 12*f) to the form b*f + p*f**3 + t*f**2 + x + i*f**4 and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12786 is divided by 263.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 s when four letters picked without replacement from soooososolsoo?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1624*y**2 + 4 + 1628*y**2 - 4.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162.4 + -181. What is s rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.114713 and 10.\nAnswer: 9.885287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 4. Let x(h) = 1. Let v(m) = l(m) - 6*x(m). Let w be v(-10). Suppose -a + w*a = -14. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 3*s + 6*s + s. Suppose y - 2*u = 3*u + 29, 0 = 2*y + 3*u + 7. Let v(i) = i + 4*i - y*i. Calculate w(v(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) - 48\/(-5). Let b = u - -90. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*m + 3*m - 152, 5*m - 210 = -2*i. Calculate the greatest common divisor of 1160 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -145, -4, 3 in descending order.\nAnswer: 4, 3, -4, -6, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 0.07, -117\/4, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35542 (base 11) in base 16?\nAnswer: -c81d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90023994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 8. Let i be v(11). Suppose 2*p - 5*q = -2*p + 612, -478 = -i*p - q. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39358186 by 5622598.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -14*n - 11. Calculate k(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 388082912 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3762736 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 344 (b) -0.2 (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2790 is divided by 2770.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/66 and 2693\/495 - 51\/(-85) - 6.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -16, -35, -58, -85?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1450 = 24*o - 1282 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266 - -305. Solve -36*d + 9 = -s*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*i + p, 4*i - p + 159 = 138 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32\/329 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, v: 18}. What is prob of picking 4 v?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*l + 33, -48745*l = -48745*l - 2*w + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/903 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 56\/27941, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.04, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -811778 * 249\nAnswer: -202132722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 3d8?\nAnswer: -3d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 2 = 118. Let p = 30 - w. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -1.3. Let p = n - -6.7. Let x = p - 6.11. Round x to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -3\/101 (b) -1\/6 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 45\/381752 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 885728046 divided by 6.\nAnswer: 147621341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = c - 4*k, 3*c - 1945 = 8*c + 5*k. Let h = c + 705. List the prime factors of h.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w - 62 + 309. Solve -4*g - w = g + 3*x, 3*g = -2*x - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/15473?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = -9*m. Let l = -67 + 71.9. Let c = -0.1 - l. What is the nearest to 0.1 in c, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/21 - 1565\/(-105). Suppose -5*f - 137 = -2*k, w = 4*f - 7*f. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-2)\/4 + 1 + 0. Suppose -k*w = -2*w - 7*w. Let v be (-8)\/(-5)*25\/10. Solve w = -d - 4*l - 0*l + 1, 0 = -v*d - 2*l + 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 581, 580, 577, 572?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 30454 - 30454 + 9*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - -0.167\nAnswer: 0.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 999122 divided by 6.\nAnswer: 499561\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let d = 1 + n. Let v(j) = -2*j + 9. Let k be v(5). What is the biggest value in -2, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 - (-73283)\/(-722)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 132558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*k + 948633 = -132*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -24. Let s be q\/(-40) + 2\/(-5). Suppose 3*c - 12 = 0, -p - p + c + 6 = s. Solve 14 = p*x - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005961 to 6 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/6*35*2. Suppose -63 - 7 = -2*a - 2*l, -l - o = -5*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4979 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*u + 579 - 1187 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*0 - -5. Suppose -5*s + 3*m - 1 = 4, 0 = 4*s + g*m - 33. Solve -s = 4*b + 5*u - 5, u + 11 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3410 (base 9) to base 16\nAnswer: -9d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30.103 * -0.007\nAnswer: -0.210721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 86689600 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 176*i - 83 - 88*i - 66*i**2 - 88*i - 5*i**2 as f + j*i**2 + s*i and give f.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8492614, 16985172, 25477730, 33970288?\n\"Answer: 8492558*o + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1041 - -1045. Let r(m) = -3*m + 22. Let y be r(8). Suppose 17 = -w - 3*o, -2 = -2*w + 3*o - 0*o. Which is the nearest to y? (a) w (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-1638)\/38 - 4) + 13\/(3211\/26).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -14*v**2 - 62*v - 22. Let n be f(-4). Solve -3*l = c + 18 - 5, n*l + 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/8)\/((-952)\/2240). Let o = 117 + -119. Put 5, c, o in descending order.\nAnswer: 5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/5)\/(-4)*(-36)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 59*x**3 + 17*x**2. Let g(f) = 10*f**3 + 3*f**2. Determine 34*g(c) - 6*u(c).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4368 and 2457.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 12:25 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*o**3 - 17304*o**2 - 3273381*o + 1.\nAnswer: -102*o - 34608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 - 866 = -15*g. Factor g*w**2 + 22\/3*w**4 + 0*w + 80\/3*w**3 + 2\/3*w**5 + 0.\nAnswer: 2*w**2*(w + 3)*(w + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 6)*(3*y + 2 - 3 - 6).\nAnswer: -9*y + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 675653 and 28527.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3083\/470 - -78\/47. Let r be (-3695)\/6 - (-3)\/9. Let p = -627 - r. Find the common denominator of p and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, -2, 3, 8 in ascending order.\nAnswer: -5, -2, 3, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11865500 and 562050?\nAnswer: 106789500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.69355 times 0.0329?\nAnswer: 0.055717795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Suppose -267 = -2*z - 3*r - 66, 0 = z - n*r - 105. Let i = z + -33. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17937 is divided by 428?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2413876.6 or -5?\nAnswer: -2413876.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228*k + 417*k + 231*k)*(-3*k**2 - 6*k**4 + 3*k**2).\nAnswer: -2520*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.041 and -47967.8815428.\nAnswer: -47967.9225428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -25*v + 127. Let o(g) = 26*g - 106. Let c(k) = -5*j(k) - 6*o(k). Let y be ((-2)\/(-4))\/((-1)\/2). Is 20 a factor of c(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 613 - 548. Suppose -51*p**3 - 27*p**5 + 41*p**3 - z*p**3 + 126*p**4 + 12*p**2 = 0. What is p?\nAnswer: 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-56)*-16)\/(30\/105).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 - 185*h**3 + 140*h**2 + 1500*h - 2160 = 0. What is h?\nAnswer: -3, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/787 and 14\/5.\nAnswer: 3935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.58805 - -10.5879. Let m = -11 - t. What is m rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g + 3*g)*(-23*g**3 + 36*g**3 + 26*g**3) + (-2*g**3 - 2*g**3 + g**3)*(3*g - 3*g + g) - 4*g**4 + g**4 + 5*g**4.\nAnswer: 77*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - 9) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13365447 to the power of 1\/2, to the nearest integer?\nAnswer: 3656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*g = -k + 8, 2*g = 8*k - 4. Solve 13*l + 28 + 24 = k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-4) - 6)\/(((-696)\/(-1168))\/29)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422294.\nAnswer: 2, 19, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/(10\/40)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2051\/28999 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1 (c) 533 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -70*r - 7\/3*r**3 + 0 + 0*r**2. Let n(y) = -15*y**2. What is n(i(j))?\nAnswer: -2940*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = x + 8. Let o = 8 - 2. Let r = o + x. Let z(b) = b**3 + 6*b**2 + 5*b + 7. What is z(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z**3 - 26*z**3 + 55*z**3 - 83*z**2 + 17 - 829*z**2.\nAnswer: 2*z**3 - 912*z**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 341510530*g**5 + 9*g**2 + 139*g + 293?\nAnswer: 20490631800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 176 = -3*h - 59, 4*h - 2*k = 156. Suppose -h = -27*y + 24*y. Let t(v) = -4*v + 64. Let o be t(y). Solve -o = a - 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 6349\/588 - (-3)\/(-4). Let p = g - -559\/168. Find the common denominator of p and 143\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*c + 113*c**5 + 5 + 59*c - 113*c wrt c?\nAnswer: 2260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 divided by -21?\nAnswer: -367\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -55. Solve 5*f - 40 = -n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129446553?\nAnswer: 3, 23, 41, 45757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - -1965?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - -2.4. Let u = -28 + 30. Let d be (u\/(-3))\/(-1 + (-40)\/6). Sort d, 2\/9, c.\nAnswer: d, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 3. Suppose -22*u + 26*u - 140 = 0. Let w be ((-248)\/(-32))\/((-2)\/(-8)). Let t = w - u. What is f(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:34 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 - 626?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 3*q + 20. Let o be b(0). Suppose -y + o = y. Suppose 0 = 3*d - 48 - 42. Calculate the greatest common divisor of y and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20) - 62\/(-30)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-15)\/20*20\/285?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8 + (-9)\/(-3) + 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Suppose -15 = -5*r, 5*r = -z + 3*z + 49. Let n = -10 - z. What is the least common multiple of m and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxsozosozzrozrzorse. Give prob of sequence ssoe.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/8 - 5*u**4\/4 + u**3\/2 + 21*u**2\/4 + 27*u\/8 = 0.\nAnswer: -1, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 12 - (-10 + 29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401550663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*v + s, -5 = 3*v - 5*v - 3*s. Let b be (0 - -2)*-1 + v. Solve -3*j + 16 = u + 4*u, 6 = b*u + j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1360)\/(-476))\/((-24)\/21).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -139*u + 1930. What is i(19)?\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102690, 205695, 309278, 413727, 519330, 626375, 735150, 845943?\nAnswer: 959042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2361721 - -22?\nAnswer: -2361688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209553, -421249, -632945, -844641, -1056337, -1268033?\nAnswer: -1479729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:01 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - h - 3*h - 20, 4*h + 20 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -5*p + 3*u, -16808 = -2*p - u - 16807 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87 + -67 - -2) + (1 - -7) + (7 - 11).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1496)\/((-18768)\/138) + (-1 - (-89)\/(-9)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2*b - 1. Let a be t(3). Let h(x) = -x**a - 4*x - 12 + 8 + 7. Let o be h(-4). Let d(u) = -u**2 + u + 4. Calculate d(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210679 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 + -82. What is the remainder when 38 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 178*w + 3529. Calculate a(32).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*b - 5256964 = -551544. List the prime factors of b.\nAnswer: 2, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**2 + 1. Let i(k) be the first derivative of -2*k**2 + 1. Calculate y(i(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v + 0 + 0*v**2 + 1\/42*v**7 + 0*v**6 + 5\/12*v**4 + 0*v**3 + 0*v**5. What is the third derivative of w(f) wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 5. Is v > -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(304) - (sqrt(19)*2*-3 + sqrt(19)))**2.\nAnswer: 5491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 26. Let v = -1.9 - 0.1. Let j = 0 - 0.2. Which is the closest to o? (a) j (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/5 (b) 1 (c) 6707\/3 (d) 21 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lootoototprot. What is prob of sequence rpl?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 62 = -10*s. Let f = -11 + s. What is the smallest common multiple of f and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 329\/3. What is the closest to 1 in -0.3, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 times -51?\nAnswer: 6477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2350 - -2376. Let l(z) = z**3 + 12*z**2 - 3*z + 3. Let v be l(-12). Calculate the highest common divisor of v and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 886 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 332464376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 6 + 2. Let s = -52\/165 - 1\/55. Is s less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z + 822 = 5*r, -2*r + 320 = -z. Solve 9*q - r + 117 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d - 155 = 0. Suppose -w = 3*p - d, -5*w + p + 224 = 5. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -328, -666, -1112, -1654, -2280, -2978?\nAnswer: -3736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 3 + 195 = 38*g. Sort -3\/5, 6, -5, g in descending order.\nAnswer: g, 6, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 7*a**2 - 7*a - 6. Let n be o(8). Let y(q) = 4*q**2 + 2*q - 1. Let z be y(n). Let f = 22 - z. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 7*x - 4. Let l be m(8). Solve -18 = -l*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 253.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1987*j - 1079*j + 66594 = -39*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551712 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -66933479.27?\nAnswer: 66933479.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(45 + (-12)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -5a?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/72 and -59\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39553 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-80))\/(1 - 44\/48). Suppose k*i + 15 = -3*h, -4*h - 14 = -i + 1. What is the closest to 1\/3 in -21, 1\/4, h, 2\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 28 - (-4 + 1 + 0 + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35027 divided by -8?\nAnswer: 35027\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 > -324\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 5*u**4\/4 - 25*u**3 + 195*u**2\/2 + 275*u - 3717. Suppose p(v) = 0. Calculate v.\nAnswer: -1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -30. Let k = j + 37. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 64 = -2*q. Let v = 14 - q. Let z be (-6)\/(-8)*(-4)\/5. Which is greater: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22764786 (base 9) in base 6?\nAnswer: 1033331510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -8.589263.\nAnswer: 0.8589263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 take away 8?\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/2867 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 3*b**2 - 4*b**2 - 6*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143*b**5*i**3 + 2*b**2*i**3 - 4*b*i**2 - b*i - 6*i**3 - 82*i**2 wrt b.\nAnswer: 2860*b**3*i**3 + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*v + 82 = -184*v - 3*x, -4*v + 2*x - 4*x - 61 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 136 = -u, -v - 3*u + 44 = v. Let b = v - 48. Let o be (-68)\/b + -3 + (-329996)\/(-10). What is o rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (590\/(-531))\/(2\/18)*2\/(-28).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3068?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104799495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -6*2\/4. Suppose 3*t + t = 8. Suppose c + r = 2, -4*c = 5*r - 0*r - 5. Solve -t*a + i*a = -c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 225*d + 2273. Let t be y(-9). Solve 4*a + 240 = t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912079?\nAnswer: 7, 29, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (159 + -162)\/(3\/(-7132)).\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/156)\/((-6)\/(-9))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135 - 2*w - 164 - w + 2*w**3)*(-22*w - 5 + 5)*(1 + 2 - 2).\nAnswer: -44*w**4 + 66*w**2 + 638*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2044, -2, -2\/71, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 198\/(-51))\/((-8)\/272). Let m(a) be the first derivative of 35\/4*a**v + 0*a**3 - 13*a**2 + 0*a - 15. Find the second derivative of m(r) wrt r.\nAnswer: 210*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 4*h**2 - h + 3. Calculate j(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -49*z**2 - 18*z + 16. Calculate n(2).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*l + 345, l - 154 = -2*n - 16. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 - (3 + 0 + -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 2, c: 3, e: 1, m: 7, h: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -114) + 30 + -115\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 643*z**3 - 95*z**3.\nAnswer: 555*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa (base 12) to base 2.\nAnswer: 10000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 60 = 2*t. Let s be t\/18*6\/(-4). Put s, 7, -5 in descending order.\nAnswer: 7, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1310*v + 19949 = -28521 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099850903 a multiple of 6630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6 - 2. Suppose 0 = d*t + t - 30. Suppose 3*s - 5*s + t = 0. Solve 5*f - s*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 24 = 2*q - 26, -4*q = -4*l + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958297 is divided by 109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(304)*-1 + -5*(sqrt(304) + -1) - ((sqrt(304) - 6*sqrt(304)*2 - sqrt(304) - sqrt(304))**2 + sqrt(304) + -1*(sqrt(304) + sqrt(304) + 1)).\nAnswer: -51372 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*c, -2*c - 1 = -5*b + 25. Suppose -b*a = 3*l - 22 - 5, 0 = -2*a + 3*l + 9. Solve a - 4 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4311126433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 1, -8, -3, -10295.\nAnswer: -10295, -8, -5, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**5 - 8662*j**3 - 251*j + 50 wrt j?\nAnswer: -60*j**3 - 51972*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6814.944 years to millennia.\nAnswer: 6.814944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1242*v**2*w**3 - 727*v*w - 12*w**3 - 2*w**2 - 8073 wrt v?\nAnswer: 2484*v*w**3 - 727*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.828467 and -0.4.\nAnswer: 1.1313868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - -7 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3642435 divided by -5?\nAnswer: -728487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 59*h**3 + h**4 + 5*h**2 - 11*h**3 - 45*h**3 + 6*h + 1 to the form d*h**2 + j + o*h + q*h**4 + z*h**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4705738748 - -14572?\nAnswer: 14567.5294261252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (81\/(-39) + 2)*-2. Let k be 3\/(-6) + (-3)\/6. Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8524 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 15*r + 22. Let g(f) = 3*f + 8. Let c be g(-8). Let o be x(c). Let i(z) = 3*z - 3*z + 4*z - o*z. Let q(n) = 5*n. Determine i(q(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 21*a**2 + a - 19. Let l be f(21). Suppose l*k + 16 = 3*j + 4*k, 2*j - k + 1 = 0. Differentiate s**2 + 12 + s**j + 3 - 5 with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = -99 + 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 7 - 14) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 6*i**2 + 2*i - 7. Let p be x(6). Suppose 7*v = p*v + 6. Solve 3*c + v = -0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*v + 11, -v - 50*z + 46*z + 9 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78782 + -35791. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 0.1, 2\/13, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -2\/3*k**3 + 30*k + 4*k**2 + 5\/12*k**4 + 1\/20*k**5 + 0. Give v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-7))**(2\/91)\/(d\/(d**(-15)*d))**(-24) assuming d is positive.\nAnswer: d**(32748\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = t - 16, 0 = 5*m - 10. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 - -411. Let k = -127 + n. Let f = 3 - 6. Sort k, -6\/7, f.\nAnswer: k, f, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 8*o**2 + 7*o - 5. Give z(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 34.99999938. Round d to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(17\/(4250\/(-225)))\/(6\/(-10)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d**2 + 5*d - 9. Let a be v(9). Let w = 25 - -35. Let b = a - w. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.4607 kilometers in centimeters?\nAnswer: 11946070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:47 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022121212210100 - 0?\nAnswer: -10022121212210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -17*w + 45. Suppose -1 = 5*k - 71. Is w - k - (-1 - 51) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from {y: 2, f: 4, w: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162))\/(2*sqrt(324))*1.\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -76*s - 23*s + 174. Let h(v) = v**2 - 5*v - 1. Let a be h(6). Solve -3*p + 2 = s*g + a, 5*g + 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -24*g**3 + 2*g**2 - 1. Let j be v(1). What is the common denominator of -25\/16 and (-49)\/((j - -3)\/1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -583619 and 0.03.\nAnswer: -17508.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19845388 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -316201 (base 7) to base 8.\nAnswer: -153303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14464 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 43290624?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 3}. Give prob of sequence hih.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4 - 36*i + 4 + (-2 - i + 2)*(-81 + 267 + 301).\nAnswer: -523*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30829319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxkhhhk. Give prob of sequence kxhx.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33\/215 + 2\/43. Let s = -145 - -145.079. Let j = s - -0.021. Sort t, 1\/4, j in ascending order.\nAnswer: j, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000464886 to 5 decimal places.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21683841870 - -78?\nAnswer: -21683841792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4922 - 288448.\nAnswer: -288450.4922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2)*(-14)\/14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 21*m + 146. What is o(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-50))\/(1*(-36)\/120)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 116, 180, 246, 314?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcjb when four letters picked without replacement from {j: 1, x: 3, l: 2, c: 2, b: 2, i: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*f - 32 = 0, 0*f + 4 = -b - 3*f. Suppose b*g - 12 = 4*g, 636 = -4*i + 4*g. Let v = i + 466. Round v to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 + 2585*l**2 - 7756*l\/3.\nAnswer: l*(l - 1)*(l + 7756)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/7003?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 8. Let j be q(-6). Suppose -j*k - 4*f = -28, -k - 4*f = -0*f - 22. Is 218 - (3 - k\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1277629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12293 - 245909\/20. Let g = -2845\/392 - 214\/49. Find the common denominator of f and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 0 (b) -5 (c) -1\/13 (d) 13829\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-256)\/192*(0 + -1 + -200). Suppose 2*g - x = -0*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 269313, 538766, 808219, 1077672?\n\"Answer: 269453*b - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1 + 1 + -1. Suppose k = -7*o + 3*o + 8. Suppose g = -5*b - 2*g - 2, 2*g + 12 = o*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 0*a + 2*a = 22, 4*a = 5*l + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1866)\/(-31722)*13685\/7.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6)**5 assuming w is positive.\nAnswer: w**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**10\/529200 - c**9\/105840 - c**8\/70560 + c**5\/10 - 13*c**2. Let u(o) be the third derivative of y(o). Factor u(x).\nAnswer: -2*x**2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/9667417 and -33\/404.\nAnswer: 38669668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 78, 2\/9 in ascending order.\nAnswer: -15, 2\/9, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000615670185 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 2 + 2)\/3. Suppose -3*y = -2*g - 23 + 1, -y - g - 1 = p. Let x be y\/(-18) + (-137)\/(-9). Solve -x = 2*q - 7*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 9*b**2 + 25*b**2 + 6 + 6 + 8*b**2 to h*b + z*b**2 + d and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 2:28 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/11 + 106*l**2\/11 + 104*l\/11 = 0. Calculate l.\nAnswer: -52, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffdp when four letters picked without replacement from {p: 1, d: 5, i: 1, f: 5}?\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 37*f + 584. Determine j(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 91616*l\/3 + 366448\/3.\nAnswer: (l + 4)*(l + 91612)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 4217835607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -3216, -0.1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-9 + 28 + 4 + -2 - 4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 + 135 = 4*a. What is the highest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n*u**3 - n*u + 86*u**4 - 104*u**3 - 5937*u - 1 wrt u?\nAnswer: -12*n*u + 1032*u**2 - 624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -32*w + 3. Let j be n(-2). Let i = j + -45. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**3 - 133386*p**2 + 7995060*p - 119885400 = 0?\nAnswer: 30, 44402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 plus 2.4657704?\nAnswer: 2.7357704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35826 and 1706?\nAnswer: 35826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83 - -0.575854?\nAnswer: 1.405854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99)*1 - sqrt(99)))\/sqrt(3))\/sqrt(3).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 251*f**3 - 5*f + 53 - 4 - 920*f**3 + 4*f.\nAnswer: -669*f**3 - 3*f**2 - f + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h + 3*a = 9, -3 = -h - 2*a. Suppose h = -4*q + 1. What are the prime factors of (-42)\/9*3\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + 37?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13028 is divided by 4237?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2\/5 (b) 2 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let p(t) = -10 + 31 - 17 - 31*t - 4 + 6*t**2. Give p(z(h)).\nAnswer: 6*h**4 - 31*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 453325*j**2 + 10.\nAnswer: 453325*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 7*f + 6. Let k be z(-7). Let o(b) = -b**3 + 4*b**2 - 3*b + 6. Let p be o(k). Calculate the common denominator of 1015\/p + 1\/4 and -1\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 189115*b + 189120.\nAnswer: -5*(b - 37824)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736393.8 centuries to months.\nAnswer: 883672560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-546))\/((-16)\/(-280)*-5)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33136*d + 17622*d + 20026*d.\nAnswer: 4512*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 13*l = 704. Let s be l\/40 + 3\/5. Solve -s*p + 2*p = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21542 - -1023?\nAnswer: -20515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d + 11*d**2 - 4*d)*(0*d + 3*d - 4*d) - 9 - 4 - 4*d**3 - 3*d**3 - 2*d**3 to the form q*d**2 + j*d + a*d**3 + z and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*h*s*w + 12*a*h*w - 2*a*s**2*w - a*s - 6*h*s**2 + 3*s**2*w wrt s?\nAnswer: -4*a*w - 12*h + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -112*f**2 + 25*f + 1. Let g(v) = -57*v**2 + 14*v. Calculate -2*d(l) + 5*g(l).\nAnswer: -61*l**2 + 20*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5*(-1)\/(-2)*1394\/(-184705))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -48*u - 3268. Determine i(-73).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 15 = -15*g. Put g, 1, -14 in decreasing order.\nAnswer: g, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nncn when four letters picked without replacement from {n: 7, c: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 1\/4, 1, -481?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*u - 36 = -4*k + 157*u, -4*u = 3*k - 26. Suppose 0*j = 2*j - 2*g + 12, -5*j - 15 = -2*g. Is j at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - q + 1. Let o(a) = -3*a**3 + 4*a**2 - 4*a + 6. Let n(i) = i**3 + 6*i**2 + 4*i - 1. Let u be n(-5). What is u*m(j) - o(j)?\nAnswer: 3*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -439 - -437. Suppose -3*a + 246 = -3*j, -5*j - 4*a + 5*a = 414. Let d = p - j. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1. Let b(c) = -2 + 6 - 6 - c**2. What is -b(d) + 2*h(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/5*9\/(-6). Let r be 21*(-2)\/8*(-16)\/k. Which is smaller: 29 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 4, 2, -2, -1280 in ascending order.\nAnswer: -1280, -18, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1) + 34\/17. Suppose 0*s = -s + c*b + 9, 12 = -2*s - 4*b. Solve 2*l - 7*l + 25 = s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0500196503 rounded to 4 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209 and 48202.\nAnswer: 915838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*d - s, 66*s = 5*d + 71*s + 25. Let t(o) = 11*o + 80. Let q be t(d). Let z = -1 + 1. Sort z, 4, q in descending order.\nAnswer: 4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 80053b - -9?\nAnswer: 800548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.19, 85\/1588 in decreasing order.\nAnswer: 0.19, 85\/1588, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4.36. Let c = d - -0.03. What is c rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 3.\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjjeyrjj. Give prob of sequence rry.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 8:20 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(1\/11)\/(u*u**(-2))**(-46) assuming u is positive.\nAnswer: u**(-508\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080972675 to five decimal places.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1349 + -1347. Solve g*h = -5*f + 10, 2*f - 33 = 7*h - 2*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-6))\/((-44)\/(-12)). Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/4 + 15*s. Let v(c) = -c**3 - 15*c**2 + 16*c + 2. Let x be v(-16). Let u(n) = -39*n + 39*n - n**x. Calculate m(u(w)).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568*c - 1288*c + 2520 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5081.78 - -5061.32676. Let x = h - -20.814. Let l = 0.36 - x. Round l to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13656 minus -234212?\nAnswer: 220556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252883838?\nAnswer: 2, 126441919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193\/4 + -48. Let t = -1.8515 - -5.8515. Which is the nearest to 2\/5? (a) p (b) 3\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 87.7. Which is the closest to n? (a) -5 (b) -2 (c) -0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185 divided by -6.\nAnswer: -185\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*c + 6 + 33 = 0, -2*g = 4*c - 20. Let j = -227 + 221. What is the remainder when g is divided by (8\/j)\/((-6)\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.02 less than -0.4?\nAnswer: -11.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let z(n) = 2*n + 2. Let j be z(m). Let u(g) be the first derivative of -g**4\/4 - 4*g**3\/3 - g**2\/2 - 5*g - 2. Calculate u(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 38272.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(768) + 1 - -3*(sqrt(768) + sqrt(768)*1)) + -1*-1*sqrt(768)*4.\nAnswer: 2 + 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*k - 16. Suppose -2*t - 2*t + 8 = 0. Let x = t + k. What is the least common multiple of 2 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnsnnnnnnnnnnss. Give prob of sequence ss.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -267444257731077144*w**4 + 267442461686169588*w**3 + 1796040887058*w**2 + 4020495*w + 3 = 0.\nAnswer: -1\/446722, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*p - 28 = 0, 2*z - 36 = -5*p - 7. Suppose 1158 = z*r + 4*b, 0 = -r - 2*b + 3*b + 576. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3*((-1790)\/90)\/(3\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-3)*v))**33*(v**(-1\/3)\/v*v)**(-27) assuming v is positive.\nAnswer: v**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 37 = 13, 0 = -89*a + y + 214 + 583 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -8.541?\nAnswer: -25.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -411996, -824003, -1236012, -1648023?\n\"Answer: -s**2 - 412004*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -295, -287, -279, -271, -263?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161221 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3435*l - 41*l**3 - 3435*l - 2*l**2 - 2 as i*l + z*l**3 + v + b*l**2 and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(38)\/sqrt(2) + -2))**2.\nAnswer: -16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*u + 9, s + 5*u - 9 = u. Let l(w) = 1 + 0 + 1. Let v(t) = -t + 7. Suppose b + k + 1 = 0, 0 = k + 4 - 1. Calculate b*v(q) + s*l(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49060 + -23770. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqyyykqqy. What is prob of picking 3 y and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5574.5925 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2*u + 0 - 7 = 0, 5*l = 4*u + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:18 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -13. Suppose s*t = 5*t + 42. Let h = t - 19. Is h greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*b**3 + 9 - 61*b**3 + 3*b**2 - b - 2 - 51*b**3 wrt b?\nAnswer: 18*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*((-200)\/16)\/(1\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -137.084.\nAnswer: -685.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*n**6 - 2*n**2 + 9*n**2 + 0*n**2 wrt n.\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 2 (c) -2 (d) -1067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2. Let z be 4\/10 - 4181\/(-185). Let k(u) = 84*u + 88*u - 172*u + z*u**2. What is d(k(n))?\nAnswer: -1587*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 101*j**3 - 3*j**2 + 3*j. Let m = -226 + 228. Is z(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.9999933 + -12. Round u to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6\/11, 1\/3, 0.1 in increasing order.\nAnswer: -6\/11, 0, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (560\/2016)\/(10\/3).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3602*c - 313497 = -115387 for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 - -4.6. Which is greater: 0.022 or b?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-297) - 402\/737?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*w. Let o(c) be the third derivative of c**4\/6 + 9*c**2. Give o(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9. Let k(j) be the second derivative of 0*j**3 + 1\/10*j**5 + j**2 + y*j**4 - 2*j + 0. What is the first derivative of k(p) wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 8. Let t = 1623 - 99005\/61. Is s at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b. Let g(h) = 720*h. Determine k(g(u)).\nAnswer: 5040*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 52, 50, 48, 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -3*x + 5*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*k = 349*k + 21. Solve 12 = 3*x, -k*y + 2 = -2*x + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/120 + 37*d**5\/60 - 85*d**4\/24 + 11*d**3\/2 + 6*d**2 + 9*d. Is 9 a factor of r(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (485\/194)\/(21\/(-4))*(-18)\/(-10)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*n - 141 = 268*n - 533*n for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let u(h) = -h**2. Let m(j) = 4*u(j) + 2*x(j). Let y(z) = z + 10*z - 3*z - 5*z. Calculate y(m(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ionooqqinnqni. What is prob of picking 1 q and 2 n?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2707824 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 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: Let k = 10 - 10. Which is the closest to k? (a) 1\/10 (b) -1\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (23 - -7) - (43 - 10) - -92?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 410 - 450.5. Let g = f - -54.9. What is g rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 19. Let k be h(13). Let c(y) be the first derivative of y**2 + 8*y - 10. Let g be c(k). Solve -7*a = -2*a - g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2322\/(-792))\/((-33)\/(-2)) and -87\/2.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-4))\/((2 - -1)\/(-36)). Suppose 102 = -12*m + r*m. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35510, -71576, -107642, -143708, -179774?\nAnswer: -215840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1874*h**3 - 933*h**3 - 940*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 - 6*h**2 + 2. Let y(r) be the second derivative of -r**5\/4 - r**4\/2 + r**3\/6 + r**2\/2 - r. Let g(k) = -4*d(k) + 3*y(k). What is g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 2, -4, -1 in ascending order.\nAnswer: -5, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + s = -0*s + 80, -s - 148 = -4*i. Let l be -2 + (-15)\/(-12)*4. Suppose -4*a + i = -3*k - 89, 3*a - 96 = l*k. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5, -4*q + z + 0*z + 80001 = 0. What is q rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(405)*-1 - (sqrt(405) - (sqrt(405) + 0 + sqrt(405))**2*-3) - (sqrt(405) + 0 + sqrt(405) + 2 + sqrt(405) + sqrt(405) + 1 + sqrt(405) + -3)**2.\nAnswer: -14985 - 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.96. Let r = h + -2.04. Let l = -2.1 - r. Is -4 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -57*u - 575. Determine p(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b + 11429*b**2 - 11393*b**2 + 14*b + b**3.\nAnswer: b**3 + 36*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/9 - (3 - (-111995)\/(-34785)). Let d = 3078\/5411 - r. Which is the third biggest value? (a) d (b) 1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 158, -5 in increasing order.\nAnswer: -5, 0, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -721917, -721891, -721865?\nAnswer: -721839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 6)*(-3*y + 0*y + 4*y) + 2*y - 3*y - 2 + 3*y + (-28*y + 75*y - 24*y)*(2 + 0 + 0).\nAnswer: 54*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2348511*z - 62910062?\nAnswer: 2348511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 21. Let m be l(8). Let f = m - 27. Suppose 0 = -f*u + 6*u + 50. Solve -5*k + 24 = 3*j, 3*k + 5*j = -1 + u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 7:29 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y + 5*y + 5*y + (2 + 1 - 1)*(5*y - 6*y - 7*y).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63054, 126106, 189158?\nAnswer: 252210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -138. Let l = -831 + 887. What is the remainder when n is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1276, -1329, -1358, -1351, -1296, -1181?\n\"Answer: 2*y**3 - 67*y - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 42*k + 79. Let t be f(19). Let h(c) = c**3 - 3*c**2 + 4*c - 8. Let x be h(t). Solve -3*s - x = -16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36556*i**2 - 36551*i**2 - 4*i**4 - 2*i - 5 - 2*i**3 + 73105*i**2 as a*i**3 + x*i + m + s*i**2 + f*i**4 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - 2.9. Let k = -1.7 - -1.58. Let h = k + 5.12. Sort h, -0.4, r in decreasing order.\nAnswer: h, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/35)\/(1\/(-10)*2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -795505 divided by -159101?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 732494 divided by -34.\nAnswer: -366247\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684918 is divided by 5372?\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3817*k - 3801*k = -7680*k - 868 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -117, -4\/9, 1384?\nAnswer: 1384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4096 and 960?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9462 and 12.\nAnswer: 18924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2319, -2155, -1987, -1821, -1663, -1519?\n\"Answer: -o**3 + 8*o**2 + 147*o - 2473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -328 and 4.\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3939\/303)\/(78\/204)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**2 + 3*o + 15. Let w = -7 - -1. What are the prime factors of u(w)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/3 + 4*t**4 + 50*t**3\/3 + 28*t**2 + 15*t.\nAnswer: t*(t + 1)*(t + 3)**2*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -8. Let v = i + -3.8. What is v rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-8))\/((-2)\/(-3)). Let o = -493.8 + 494. Let f = 52 - 470\/9. What is the smallest value in f, r, o, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -2b1b12?\nAnswer: -2b1b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 - 596*h**2\/5 + 200*h + 224\/5 = 0.\nAnswer: -1\/5, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 252803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -6, -5, -4.\nAnswer: -6, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1. Let y(j) = -j - 9. Let n(a) = 4*p(a) + y(a). Let f be n(-3). Let t be -3 + 2 + (-4)\/f. Is -2\/9 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15458814 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -972*x**3 + 1182 with respect to x.\nAnswer: -2916*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 + 0*l**2 + 6*l + 3*l**2 to the form x*l + b*l**2 + s and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 272*g - 412. What is the tens digit of x(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42222 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 at least as big as -0.6863715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69858 rounded to 2 dps?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*4\/(-8)*48\/144*402\/10?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42137741 is divided by 186?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.11 - -0.2?\nAnswer: -113.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + (-10 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705*n = 1707*n + 3*z + 251, 6*n + 5*z + 429 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 1. Let f(p) = 3*p**4 + 6*p**3 + 3*p**2 - 6. Let n(g) = -6*b(g) + f(g). Find the third derivative of n(y) wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5 - 12*g**3 + 7*g**3 - 6*g + 7*g**2 + 4*g**3. Let n = 15 - 9. List the prime factors of c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, r: 1, h: 6, b: 6, s: 1}. Give prob of sequence hrs.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1820, -14573, -49204, -116651, -227852?\nAnswer: -393745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r = 16. Suppose -3*h - r = 2*m, 0 = -3*h - m + 5 - 4. Differentiate -2 - q + q - 4*q + h*q with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -310148 and 0.24393.\nAnswer: -310147.75607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -22*n**2 - n. Let r be y(1). Let h = r + 27. What is the least common multiple of (-6)\/h*(-140)\/21 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 759, 1345, 2929, 6009, 11083?\nAnswer: 18649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x = 11*x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(0 - (-1)\/(-2)). Let m(r) = -r - 6. Let t(c) = -1 + 0 + 2. Let v(b) = j*m(b) - 2*t(b). Determine v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5144550 or -15433648\/3?\nAnswer: -5144550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**30)\/p*p)\/(p\/p**5))\/((p\/(p**(1\/4)\/p))\/(p\/((p**24\/p)\/p))) assuming p is positive.\nAnswer: p**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 2*g**2 - g. Let x(p) = -15*p**2 - p + 79*p**3 + 0*p + 13*p**2 - 77*p**3. Give 3*a(r) - 4*x(r).\nAnswer: -2*r**3 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4.00071. Round m to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3867720*96.\nAnswer: -371301120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -1. What is the tens digit of (p\/27)\/((-1)\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -11627, 1, -20, 5 in decreasing order.\nAnswer: 5, 4, 1, -3, -20, -11627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11179 by -446.\nAnswer: 11179\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/130 and 89\/79443.\nAnswer: 794430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 + 1464. Let n = p + -1314.016. Round n to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1\/2 (c) -37\/3 (d) 175 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.0306 (b) 2 (c) 38 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.20978 litres to millilitres.\nAnswer: 25209.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {j: 2, r: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 4*p**2 + 3*p. Let j be t(-1). Solve y + y = a - j, -5*y = 4*a - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, l: 1, i: 4}. Give prob of picking 1 l and 2 j.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 31 = -o, 43*o = 40*o - q + 73. Differentiate 39 - o - 68 - a - 94 + 39*a**2 - 18 with respect to a.\nAnswer: 78*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3706, -14654, -32900, -58444?\nAnswer: -91286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than 104\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -278 * 2\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 44 - 13 + 5*r + 16 - 3*r in the form a*r + h and give h.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680608?\nAnswer: 2, 21269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 2*f**3 - 79 + 81 - 4*f + 4*f**2 + 11*f**3. Let a be n(2). Suppose -a = -3*h + 97. What are the prime factors of h?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 = -5*u + 254. Suppose 198*b - u*b = 6. Let -4\/5*g**4 + 0*g + 2\/5*g**3 + 2\/5*g**5 + 0 + 0*g**b = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + 0.38. Let c = n - 0. What is the second biggest value in 5, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 34526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5050984*o**3 + 7*o**2 - 270597*o.\nAnswer: -30305904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3941*n - 8100*n**2 + 1657*n + 2326*n + 8099*n**2 to r*n**2 + g + c*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 1\/3 (b) 2\/21 (c) -2\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - u - 5*u - 1 + 2 + 1. Calculate the remainder when 28 is divided by y(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 4*x**2 - 20*x + 73. Let b be s(5). Let o = 0.5 + 1.5. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 58\/(-928) - 46\/(-224). Let k = 49 + -49.05. What is the fourth biggest value in -2, k, -0.06, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 5. Let x(j) = j - 4. Suppose -2*p = -d + p - 8, -4*d - 3*p = -28. Let k be x(d). Let l = -3 + k. Determine q(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let u(k) = -2*k**3 + k. Let y(n) = 5*n**3 - 6*n. Let m(c) = -5*u(c) - y(c). Give -m(i) - v(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8380785*j**2 + 16761799*j**2 - 8381011*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223481*j**2*n**2 + 6*j*n**2 - 1746*j*n wrt j?\nAnswer: 446962*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10757, 43020, 96789, 172064, 268845?\n\"Answer: 10753*t**2 + 4*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -127c55 - -d?\nAnswer: -127c46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*v - 421, -121 = -3*j + 2*v + 166. What is the remainder when j is divided by 69?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -15*z**2 + 9. Let i(p) be the first derivative of 4*p + 0*p**2 - 7\/3*p**3 - 8. What is 9*i(b) - 4*s(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + c**4 - 2*c**2)*(130*c + 64*c - 1251*c).\nAnswer: -1057*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137*m + 199*m**3 + 1086*m + 1827*m**3 - 195*m wrt m?\nAnswer: 12156*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/66 and (-12)\/10*(-60)\/112.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 1. Suppose -j*c = 4*v - 6*v + 46, 23 = v - 5*c. Let p = -41712 - -41712. Solve 2*u - 2*b + p*b - 14 = 0, -2*u + 5*b = -v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15658 - 19623*u - 15658 in the form c + a*u and give a.\nAnswer: -19623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 4, x: 2, f: 1, u: 1, b: 2}. Give prob of picking 3 f and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*g**3 - 137*g**2 + 42*g**3 + 48*g**3 + 137*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 250269839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/15)\/(8\/72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dahhldoldwhoaldoo. Give prob of picking 1 l, 1 a, and 1 o.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*o**2 - 68\/7*o + 192\/7.\nAnswer: 2*(o - 6)*(3*o - 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 - 0 - (-48 + 42)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*l**2 + 834*l + 72.\nAnswer: 3*(l + 12)*(23*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 4:43 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 + 556\/5. Factor 1\/5*f**2 - j*f + 0.\nAnswer: f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-6)\/(-7))*50*4\/70\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-15) + (-42)\/10 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q + 3. Suppose -4*v - 55 = -c + 1, -q*v = -c + 61. Calculate the greatest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 - 3*h + 10. Let b(t) = t - 6 + 6 + 1 - 16*t**2 + 14*t**2 - 4. Give -4*a(m) - 11*b(m).\nAnswer: 2*m**2 + m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 5*o**2 - 5*o. Let x = 530 - 535. Let k(u) be the third derivative of -u**6\/120 - u**5\/20 + u**4\/8 + 29*u**2. What is x*k(t) - 3*v(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -2024 in decreasing order.\nAnswer: 5, -1, -2024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.25 - -22.35. What is the closest to i in 71\/5, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**2*o**2 + 2*h*n**2*o - 12*h*o**3 - n**2*o**3 + 2*n**2*o - 72*n wrt h?\nAnswer: 6*h*o**2 + 2*n**2*o - 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-10)\/6 + -1). Suppose 21*h = c*h + 130. Solve f - 4*a + h = 0, 1 - 5 = -2*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t - 11*t - 63 - 337 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(125)*1*4.\nAnswer: 2 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = h + 5*v, 3*v + v - 135 = 5*h. Is -33 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 9 = 5*o, -1868*s - 6 = -1872*s + 2*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 11*i - 10*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1214795941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*52\/(-104)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 21*v**2 + 4. Let b be s(-21). Solve 0 = -b*f - 2*t + 26, 2*f + 5*t = -0*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 196429.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from eyqqyzsdz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(700)*2 + 1 + -5)*5*-4)**2.\nAnswer: -4486400 + 128000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**3*k + c**3 + 75*c**2*k + 8559*c**2 + 21570736*c*k wrt c.\nAnswer: 36*c*k + 6*c + 150*k + 17118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {b: 2, a: 1, c: 1, i: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520711 and 2120661.\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-9)*(-9)\/(-2). Let j = u + -2. Suppose 0 = -j*t - 1 + 17. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -85, 171, -4 in increasing order.\nAnswer: -85, -4, 10, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26859\/4 + (-24)\/32. Suppose -10*g + t = -g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**2 + 11*h + 1. Let j(x) = -x**2 + x. Suppose -5*d + 2 = -4*d. Let o(q) = d*g(q) - 22*j(q). What is the derivative of o(z) wrt z?\nAnswer: 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 2672852.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67555552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 9, -4*b = 5*w - 115. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/10*16\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.3587 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*u - 372, 3*r - u + 372 = -3*u. Let d = r + 174. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 58\/18 + 6\/(-27). Suppose u - 5 = -2*w, 3*w + q*u - 11 = -2. Solve -w*h = 2*p, -4*p + 5*h = -p - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Suppose -d + 2*i = 44, -2*d + w*d = -5*i + 93. Let x = d + 58. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) -20 (b) 179 (c) -207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:15 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28204*u**3 + 5082*u**3 - 29392*u**3.\nAnswer: -52514*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*d + 4 = -0*d, 3*d = 2*v + 3. What is the first derivative of v*n + n + 7*n**4 - n - 1 wrt n?\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 1:11 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/13, 2\/15, 1\/143?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 5507*l - 55055. Give m(-10).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**3 + 13*t**2 - 14*t - 9. Let h(n) = -4*n**3 + 12*n**2 - 13*n - 8. Calculate -10*h(y) + 9*w(y).\nAnswer: -14*y**3 - 3*y**2 + 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (8\/(-4) - -3). Suppose 0 - 4 = 4*t, 0 = 5*c + a*t + 23. What is the closest to -0.7 in 2, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.2, 1, 4.68, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-6))\/(12\/8). Suppose 5*r + z = 16. Suppose -5 = 2*b + r. Let n(u) = u. What is n(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 4. Suppose 3*t**3 + 0*t**p - 4*t**2 + 3*t**4 - 3*t + 13*t**2 - 12*t**3 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.013955804 and -40.\nAnswer: -39.986044196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.2 times 84?\nAnswer: -2200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3 + 9. Suppose o*w + 6 = -9. Let j = w + 3. Let v(r) = 3*r - 1. Determine v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2797\/78 + -64\/39. Let c be (-372524)\/38832 + 1\/2. Let q = 8\/809 + c. What is the common denominator of q and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 258990.95 and 4?\nAnswer: 258986.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -88*z + 18. Let s(y) = -82*y + 17. Let i(h) = 6*j(h) - 7*s(h). Let a(c) = c**2 - 3*c + 3. Let k be a(5). Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414 = 38*g - 29*g. Solve -l + g = 47 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31664?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 13*z - 4. What is the remainder when 5 is divided by u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f**2. Let s(j) = 3*j**2 - 7*j**2 + 2*j**2 + 0*j**2. Calculate i(s(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(300)*-2*-4 + (sqrt(300) + -3 + (sqrt(300) - (1 + sqrt(300))) - sqrt(300) - sqrt(300))**2.\nAnswer: 160*sqrt(3) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080264 to the power of 1\/2, to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 68, -1\/4.\nAnswer: -1\/4, 0, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108129?\nAnswer: 3, 7, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 2. Let y(f) = 24*f**2 + 6*f - 21. Let o(m) = 25*m**2 + 5*m - 21. Let p(r) = 6*o(r) - 5*y(r). Calculate -21*a(t) - 2*p(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/22 - -47\/66. Is f less than 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1. Let w(m) = 2*m**2 + 11*m + 20. Let a be w(-3). Let v(n) = 2*n**2 + 30*n + 23. Let p(c) = a*t(c) - v(c). Factor p(s).\nAnswer: -2*(s + 1)*(s + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1313?\nAnswer: 2626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/2121 and -17\/561156.\nAnswer: 3928092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*(0 - 14). Suppose 0 = q - 2*o - 8, 156*o - 157*o + 73 = 5*q. Calculate the greatest common divisor of q and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2146 and 13514.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 8*g**2 + 10*g + 2. Let u be r(-7). Let z = 44 + u. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*b - 22 = -4*z, 2*z - 2*b - 10 = 0. Solve -4*k - 3*j = k - 15, z*j = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 701207405?\nAnswer: -701207405.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60096437 and 27461?\nAnswer: 3923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1127, 1216, 1305, 1394, 1483, 1572?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -14. Suppose -3*o + 4*o + 2*f = 12, 28 = 3*o + h*f. Let d(v) = 2*v - 5. Does 2 divide d(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 30 = 2*z. Solve 3*j - 28 = -z*o, -4*o - 2*j + 0*j = -22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -36*j + 596. Solve 22*z = j*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b - 30. Calculate the least common multiple of 3 and r(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqjjijjqqqqj. Give prob of sequence jj.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a - -c911?\nAnswer: c876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**2 + 25*l - 10. Let q be k(4). Suppose 0 = -2*n + 4*p + q, -17 - 201 = -2*n + 2*p. Calculate the remainder when n is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 358793\/63 + -5696. Find the common denominator of -5\/234 and h.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 164*p - 13. What are the prime factors of v(2)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 4*f**2 + 2*f - 2. Let h be t(-4). Let c be ((-12)\/h)\/((-4)\/(-10)). Suppose -j - 6 = -i, 5*i = -0*j + c*j + 26. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3160 and 2?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 248 + -88. Let x be a\/12*(-3)\/(-1). Let b = x + -7. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22369 + 685*z**3 - 22368 - 101*z**3 to the form j*z**3 + x + n*z**2 + h*z and give j.\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 38*o = -12. Let r = 0 + -84. What is the units digit of r\/(-7)*o\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 times 0.007?\nAnswer: -0.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -721911 (base 11) in base 15?\nAnswer: -17d666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -21 + 4 + 13 + 2*l. Give c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 2627?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/(((-10)\/(-125))\/(-2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198118146 to the nearest integer?\nAnswer: 14075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94 + -105)*2\/(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/(-8))\/(-2 + 38\/16). Let y be (-30)\/h*(-70736)\/(-6). Suppose -5*c = -9*c + y. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1487 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.051 + -0.051002075. Round p to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 - 2.51. Let g = 0.31 + f. What is the smallest value in g, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.266. Let i = -0.004 - r. Let k = i - -0.32. What is k rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/(((-6)\/15)\/(-2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4132 - -392. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -330411629*u**3 - 513485393*u**2?\nAnswer: -1982469774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 605 + -680 - (1 + -11 - 10)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3939941?\nAnswer: 5\/3939941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0637 and 4000.215.\nAnswer: 4000.2787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26992 + -26907.945. Let u = g + -0.055. Which is smaller: u or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15117 - 14032.7. Let a = 0.0571 + -1139.0571. Let m = c + a. Round m to zero dps.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 409069731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367589276 to the power of 1\/3, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 44*u**3 - u**2. Let g be n(1). Let f = -45 + 44. Let d be (-342)\/(-8) + f*(-1)\/(-4). Are g and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34401443 (base 5) in base 9?\nAnswer: -521645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-4 + 14 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/19 in -0.1, -2, -0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77) - sqrt(77))\/sqrt(11) + 1*(sqrt(7) + 0))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 9*j - t + 8 = 0, 17*t - 22*t = -4*j - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4508 is divided by 84.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -95, -106, -119, -134, -151?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.37, -0.5, 165.8?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l - 3*l. Solve x - 3 = -l*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 359, -5, 2, -2 in decreasing order.\nAnswer: 359, 2, -2, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81459 + 172641. Suppose 0 = 9*m - 16*m - f. What is m rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3 + 5*d = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 6. Suppose n*m - 2*m - 14 = 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**2\/6 - 68695*c\/6 - 34857075 = 0.\nAnswer: -9185, -4554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -407, -66 in ascending order.\nAnswer: -407, -66, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22329 - 151029 - 289541 = -6993*t + 106234 for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(343))*6 - 4*(-1 + sqrt(28)))**2.\nAnswer: -136*sqrt(7) + 8096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -25, 6, -0.046, -20 in decreasing order.\nAnswer: 6, 2\/15, -0.046, -20, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 86 = 2*q, u = 2*q + q - 143. Let l = 47 + q. List the prime factors of l.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(16)\/sqrt(2)) + -5 - (sqrt(238)\/(1*sqrt(7)))\/sqrt(2))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454709.2cm in nanometers?\nAnswer: 4547092000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*a + 1, -6*u + 7 = -3*u - a. Let h = u - 3. Let m = -0.13 - 2.87. Is h at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5\/5 + 807*v**4\/5 - 5502*v**3\/5 = 0.\nAnswer: 0, 7, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 + -105. What is the third biggest value in 0.2, -5, r, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556269 is divided by 19854?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and ((-34787)\/301 - 43)\/(((-18)\/(-28))\/(-3)).\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1 + 7*d - 1 + d**2 - 3. Let t be q(-7). Sort 4, 6, t in ascending order.\nAnswer: t, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l + 96*l**2 + 21520 - 20*l - 13*l - 21520 + 54*l.\nAnswer: 96*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 0*b + 128*b**3 - b + 27*b**3.\nAnswer: 155*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 + 2*r**2 - 2*r**2 + r**3 + 2*r**3 - r**3 + (0 + 0 + r)*(4*r**2 - 5*r**2 - 2*r**2).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 80.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/394 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17550?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - p - 1, -6*p + 3 = -x - 3*p. Suppose -l - 4*i - 8 = 0, 3*i = -4*l + l + x. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2992841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 11 (c) -3\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 16. Let m be 2\/(1 - 2\/(-2)). Let w = m + j. Sort 2, -4, w in increasing order.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123147*k - 246294*k + 123147*k + 36*k**3.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207404 and 684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 439 (b) 3 (c) -846 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhc when three letters picked without replacement from {x: 3, w: 1, c: 4, a: 1, e: 2, h: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 121?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**14\/u*(u*(u**(-1\/24)*u)\/u)\/u)**38)**(-37) assuming u is positive.\nAnswer: u**(-218633\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x + 114 = 0. Suppose 9*r + 142 = -209. Let c = 58 + r. Calculate the greatest common divisor of x and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1342 = 2*j - g, -3*j - 1485 = -3*g + 534. Let n = -641 - j. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 194 = 7*y. Suppose -17*d = -15*d - y. Suppose -d*w = -11*w - 4911. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11213 is divided by 1330.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 2*g. Let k be f(2). Let v(c) = -c**3 + 8*c**2 + 5. Let h be v(k). Let b = 217 + -214. Solve -h*a = -b*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344731576 divided by 47906\nAnswer: -7196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2*p*p*p)\/p)**(-11\/5)\/(p\/(p**7*p)*p*p**(2\/13)) assuming p is positive.\nAnswer: p**(-192\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4104 and 18.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 16*t. Let l(b) = -5 - 5*b + 0 + 5. Determine c(l(m)).\nAnswer: -80*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7446 = -21*a + 4*a. Suppose -a = -19*h + 16*h. Suppose -409 + h = -j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(77)*-5)\/(3*sqrt(252)))**2.\nAnswer: 1100\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39259811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -862578, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002220210220110 + 1222?\nAnswer: 1002220210222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26\/47 (b) 0.5 (c) -3\/7 (d) 0 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -867 (base 9) in base 15?\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 7*s**2 + 2*s - 10. Let q be c(7). Suppose -4*t - 5 - 3 = 0. What are the prime factors of (q + t)\/(2\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23.7 or -4?\nAnswer: 23.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 12) + (9 + -14 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/6*(-2)\/(-8)*580\/((-60320)\/312).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 452\/(-40)) + -3. Let b = -59\/5 + u. Sort b, -3, 4 in ascending order.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23042 minus 0.7?\nAnswer: -23042.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(243) + 1 + sqrt(243)*4)**2.\nAnswer: 90*sqrt(3) + 6076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**3 + 2*c**2 + 2*c - 2. Determine l(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 11:14 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 times -3?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = j - 20, 40*t - 41*t = 3*j + 5. Solve b = -2*l + 2*b - 2, j = -4*b - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210632*l = 210440*l - 3456 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-189)\/(-55)) - 32\/72.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(98) + 1)**2 + (2 + sqrt(98)*1)**2.\nAnswer: 42*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -720*f**2 - 63*f**3 + 36864 - 3\/2*f**4 + 768*f.\nAnswer: -3*(f - 6)*(f + 16)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2884 + 4379. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = -2*f. Let g(c) be the third derivative of c**5\/60 + 7*c**4\/24 + c**3 + 3*c**2. Let m be g(f). Solve b + 2 = -m*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.24 - 4.24. Which is the nearest to -2\/9? (a) l (b) -2\/5 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04324 times 0.0595?\nAnswer: 0.00257278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/1801?\nAnswer: 2\/1801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let c be -4*(-6)\/(-36) + (-290)\/6. Let z be (1 - -1) + 96\/c. Is z less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {e: 6, l: 2, a: 3, f: 2, u: 6}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.23 + 14.2. Let v = -1 - j. Let x = 0.051 + 0.449. Which is the third biggest value? (a) v (b) -2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 90 (b) 0.2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 716 and 2304625.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus 282?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1008) + -5 + -1*sqrt(1008)*-2 - 3*(sqrt(1008) + (1 + (sqrt(1008) - sqrt(1008)*-2) - sqrt(1008))))**2.\nAnswer: 1152*sqrt(7) + 36352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.8. Let r = -30 - -30. Which is the nearest to n? (a) -0.1 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 3446575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = d - 11. Let n = 61 - d. Let x = 57 - n. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 5*k**2 - k + 3. Let p be t(5). Let h be (-8)\/42*(-3)\/p. Let u = -0.32 + 0.02. Which is the nearest to 1? (a) u (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9248130.25 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m + 0*m)*(-2*m - 4 + 2*m + 2*m)*(-1 - 1 - 3).\nAnswer: -30*m**2 + 60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6918719 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19079059165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:36 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**3 - 1315*p**2 + 2615*p - 1305 = 0. Calculate p.\nAnswer: 1, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201914419 + 201914419 + 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 902 = 571*q - 2771 - 7736 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - n - 4)*((1 + 3 - 3)*(-11*n - 23 + 23) - 2*n + n + 3*n)*(6*n**2 + 7*n**2 - 5*n**2 + (3 - 3 + 2)*(n**2 + 3*n**2 - 2*n**2))*(-61*n - 62*n + 205*n).\nAnswer: 8856*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268526 is divided by 167.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l**2 - 40*l - 2. Let c be g(-5). Let m be 2\/6 + c\/6. Sort m, 4, -4, 14 in ascending order.\nAnswer: -4, m, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 1. Let y be g(2). Suppose -13 = -5*w - 3*h, 5*w - 6*h = -h + 5. Solve w*u = y*z, 3*z = u - 0*u - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2*n - 6, -13 = -k - 297*n + 303*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3 + 26234*x**2 - 340895*x + 576862 = 0.\nAnswer: 2, 11, 26221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5028461 to the power of 1\/2, to the nearest integer?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 u when three letters picked without replacement from {u: 7, d: 3, j: 3, k: 2}.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 541, 1076, 1611?\n\"Answer: 535*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.029 and -799228.\nAnswer: -799229.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825397849 is divided by 370?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.54 + -0.2. What is f rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, w: 13, n: 2}. What is prob of picking 3 w and 1 b?\nAnswer: 143\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Suppose 5*t = j*t - 50. Let k = -17 - t. Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:14 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zepbezeezepueup. What is prob of picking 3 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18403482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.368*-3.22.\nAnswer: 10.84496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146769 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.64 - 0.13. Let i = j - -0.27. What is the third biggest value in i, 2\/445, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -416 (b) -1 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((5 - 2) + (6 - 3)) - 15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489 is divided by ((-710)\/(-6))\/(600\/360)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 97474668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36011)\/(-9) - 42\/189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 96 = 28*g - 26*g, 2*g - 2*u = 132. What is the greatest common factor of g and 4260?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 4*k - 5*k - 6*k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-259)\/(-296) + 92763\/792?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5 - 84*t**4 + 158*t**3 + 84*t**2 - 160*t = 0 for t.\nAnswer: -1, 0, 1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 12 - 22 - -14) + 35\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(2 - 7 + 3)*(50 - 50 + 50*l + 231*l) as v*l + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjy when three letters picked without replacement from jjjyujuyyujup?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -37. Let o(k) be the third derivative of k**6\/120 - k**5\/30 + k**3\/3 - k**2. Let p be o(s). Solve -1 = m + p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 63 + 63 - a**3 - 7*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfr when three letters picked without replacement from yrzlgzffzzzlzggzzz?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -1 - 56\/(-7). Suppose 0 = 3*m - n*r + 22, 0*m = -m + 5*r - 24. Let c(p) = 1. Let k(l) = -l - 4. Give m*k(z) + 4*c(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344 + -347. Let w(q) = -q**3 - 2*q**2 + 2*q + 5. Is 3 a factor of w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2 - 9. Let h(j) = -119*j**2 - 217. Determine 2*h(y) - 49*w(y).\nAnswer: 7*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6581*t**4 - 74*t**2*w**2 + 4*t*w**2 - 15*t*w + 2*w**2 - 9585*w wrt t?\nAnswer: 78972*t**2 - 148*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13806*j**2 - 108541 wrt j?\nAnswer: -27612*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 824.11 + -824.0899994. Let y = 0.02 - u. What is y rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 25 = -2*b, 491*q = 3*b + 486*q + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**2 - 18*g - 390. Is 11 a factor of j(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 334 and 1087838.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109476290?\nAnswer: 2, 5, 7, 11, 19, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Let w = -212.3 - -212.8. Sort w, z, -2 in descending order.\nAnswer: z, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55924774 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 2*(sqrt(117)*1)**2 + (6*(sqrt(117) + sqrt(117) + sqrt(117) + 1*sqrt(117)))\/(sqrt(9) + sqrt(90)\/sqrt(160)) + 5.\nAnswer: 96*sqrt(13)\/5 + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 107373, 108276, 109781, 111888, 114597, 117908, 121821?\n\"Answer: 301*c**2 + 107072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 13*g**4\/24 - g**3 + 3*g**2. Find the first derivative of r(w) wrt w.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:47 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 186 = 202 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 80 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**7\/630 - 11*x**6\/180 - x**5\/3 + 31*x**4\/12 + 47*x. Let c(y) be the third derivative of h(y). Factor c(r).\nAnswer: -4*(r + 1)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57184818*h**4 + 1728*h**2 - 3397*h?\nAnswer: 1372435632*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-660*b + 281 - 281)*(4*b + 0*b - 3*b).\nAnswer: -660*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11999832.\nAnswer: 2, 3, 13, 38461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = -3*x - 18, 0 = 2*x - 10. Suppose -g + 1 = 0, 0 = 3*q - 2*g - 34 + 231. Let m = k - q. Calculate the smallest common multiple of 4 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -446852 divided by 3\nAnswer: -446852\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -121 - -82\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*w = -7 - 48, 4*w = 8. Let c(u) be the first derivative of -u**3\/3 - 4*u**2 - 5*u + 1. Let n be c(-7). Solve -n*v - v = o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1035986 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 x when three letters picked without replacement from xrrrxxxxxxxxxxx.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*2*3 + sqrt(114))*2)\/(-2*sqrt(486) + sqrt(12)\/sqrt(2)*3).\nAnswer: -14*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 - 518*z\/3 + 144664\/3.\nAnswer: -2*(z - 169)*(z + 428)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + -3 + -8 + 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j - 10. Suppose -q + 159 = 2*t + 2*q, -306 = -4*t - j*q. Suppose t = -0*m + 3*m. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (175 - (2 - 1))\/1. Calculate the common denominator of -33\/8 and (-1*2\/(-4))\/(24\/r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/17, -1.01, -433?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 6*m**2 - m + 5 - m**3 + 4*m. Calculate c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 0.5 (b) -2\/13 (c) 4 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p - 107. Let y be d(-14). Find the second derivative of 190*b + 257*b - 301*b + 35*b**y + 85*b**5 wrt b.\nAnswer: 2400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -4*o - 2*l, -4*o - 6*l + l + 155 = 0. What is the third derivative of -11*s - 18*s - 100*s**6 - 15*s + 103*s**2 + o*s wrt s?\nAnswer: -12000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6390 and -10\/145952073.\nAnswer: 1459520730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s**2 + 8*s - 8. Let p(r) = 5*r**2 + 3*r - 3. Let u(b) = -4*n(b) + 11*p(b). Let i(h) = -6*h**2 + 5*h - 5. Calculate 3*i(o) - 15*u(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*((sqrt(252) + -2)**2*-2 - (2 + sqrt(252) + -2)).\nAnswer: -1539 + 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 440499455 to the nearest integer?\nAnswer: 20988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**2\/2 + 6*p + 3. Let s be t(0). Let g be -3*(3 - 1 - 16). What is the highest common divisor of s and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfn when three letters picked without replacement from gnifq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -36 (b) -640 (c) 2 (d) -3\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:25 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 21*f**2 - 18*f + 93. Let b be x(-22). Suppose 2457 = 3*g - b*y + 725, -1712 = -3*g - 5*y. What are the prime factors of g?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*r + 32474, 4*r + 3*v + 40181 = 14198. What is r rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*i**4 - 3294*b*i**3 - 28*b*i**2 + b*i - b + 10*i**4 - 25*i**2 - 13 wrt i?\nAnswer: -48*b*i - 19764*b + 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 622332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 2}. Give prob of sequence ug.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 6*v + 4. Let a be l(6). Suppose a*u = 7*u - 96. Suppose u = -4*z + 8*z. What is the highest common factor of z and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 - 6*r**2 + 14. Let o(d) = d**3 + d**2 + d + 1. Let p(z) = -n(z) + 2*o(z). Let y be p(8). Solve -y*j + 12 = -0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-6) + -4)*8.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68817885?\nAnswer: 3, 5, 41, 149, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -7*v**3\/2 - 87*v**2\/2 - 7*v. List the prime factors of x(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 87*b + 88.\nAnswer: -(b - 88)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4 - 24*f - 24*f + 134 + 2 + 50*f. Let y(q) = 2*q**2. What is g(y(s))?\nAnswer: 4*s**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.02, 83, 13\/2, -5, -2\/9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/1052282422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -510568?\nAnswer: 17\/255284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/16*(1 + 0).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1997378, -3994765, -5992152?\n\"Answer: -1997387*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83732, 83730, 83728, 83726, 83724?\n\"Answer: -2*t + 83734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 727 - -1066. Is g a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*r - 2914 = -130*r + 404*r - 77*r for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bwwfewbevzb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1980*v + 4*w - 2896659 = 1975*v, -v + w + 579330 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*f + 49*f - 99*f**2 - 234*f - f**4 - 19*f**3 + 34*f.\nAnswer: -f*(f + 1)*(f + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43778 and 752388.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 514 and -3.2.\nAnswer: 510.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 3308964.\nAnswer: -3308964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*n - 14, 0*n = 3*n - 4*j - 2. Let p be 3 + 0 - 44\/12. Which is the nearest to n? (a) 0.5 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 315\/75 - (18\/15 + -1). Solve 0 = 3*a + t - 2, 5*a - c*a - 4*t + 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**8\/840 - w**7\/525 + w**6\/300 + w**5\/150 - 258*w**2. Let r(y) = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-12))\/((-968)\/(-1452)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 290 - 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -724479 divided by 7?\nAnswer: -103497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237948?\nAnswer: 2, 3, 79, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -164, -183, -208?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 48. Let b be -2 + 1 + 8 - (-106 - -106). Let h be m(b). Solve 0 = 5*a - 2 + h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 18) + -5 + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/10*((-315)\/(-2))\/(-7)*(-2272)\/(-1136).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584987 and 7072?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*a**5*q**2 + 397*a**2*q**3 - 6*a*q**3 + a*q**2 - 6*q**2 wrt a?\nAnswer: 1300*a**3*q**2 + 794*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1e8 (base 15) to base 10\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.3133803 to 1 decimal place.\nAnswer: -18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 6*p**2 - 18 - 13 - 14.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -35. Put o, -2, 1\/8 in descending order.\nAnswer: o, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1180075 and 125?\nAnswer: 5900375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2090, -65 in increasing order.\nAnswer: -65, -5, 2090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 3 - 3*t**3 + 3 - 9 + 0 in the form p*t**2 + x*t**3 + h + k*t and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1277.1 - -1277. Let w = 2 - 1. Which is the second biggest value? (a) -2 (b) w (c) -4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7\/((-14)\/(-5)) - (-6)\/(-4) and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 2*q**3\/3 - 138. Let w(c) = -17*c + 1 + 0 - 1. Determine w(y(p)).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 144\/11, 3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 + 535*t**3 + 15235*t**2 + 54185*t + 39480 = 0. What is t?\nAnswer: -56, -47, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/5)\/(6\/9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-9 - (2 - 5))) + -1 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11990 + -575519\/48. Which is the third smallest value? (a) g (b) -1\/2 (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139 + 144. Let j(a) = 144799*a**2 + 14*a - 45. Let k be j(b). Round k to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22355, -22354, -22353, -22352, -22351?\nAnswer: -22350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8237.6613 milliseconds?\nAnswer: 0.00228823925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/17 and -32\/403?\nAnswer: 6851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -102402 (base 5) in base 7?\nAnswer: -13065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.2 + -5. Let t = f - 0.1. Let s = -146 + 149. Does s = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*c - 799 = 1799*c + 777 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m + 95000. Round m to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -128, 2388, 6568, 12400, 19872, 28972, 39688, 52008?\n\"Answer: -2*r**3 + 844*r**2 - 2*r - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b = 2*a, a - 2*b = 0. Let t(u) = u**2 - u + 3. Let c be t(a). Solve 0 = 4*p - 4*x + 12, 0*x - 17 = c*p + x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 - -64. What is the hundreds digit of (-4605)\/(-21) - (a\/(-21))\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:49 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a. What is the tens digit of (6 - 3) + a - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 + q**2 + 6*q. Give v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*n + 11*n + n**3 + n wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 7217379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15476183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (190\/(-50) - 2\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32536 and 19499256.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q - q. Calculate the highest common divisor of q and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2143340611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -164800 or -164353?\nAnswer: -164353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-4))\/(8\/112). Let q be (30\/(-105))\/(1\/v). What is the highest common factor of q and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 + 5*v**3 + 2*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110152658 + -0.2.\nAnswer: -110152658.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 10*k**3\/3 - 31*k + 944. Let x(c) = 2*c. What is x(w(g))?\nAnswer: 20*g**2 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 203*m - 204*m - 9522 = 0, 4*m - 6334 = -2*p. List the prime factors of p.\nAnswer: 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 20*z**2 + 172*z - 9. Let x be u(-9). Calculate the greatest common divisor of 6 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -14*h**2 + 82*h + 18. Let o be y(6). Let l(x) = 9*x + 4. Let v(b) = 0 - 5*b + 5 + 15*b. What is o*v(t) - 7*l(t)?\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*(sqrt(1088) + -2*sqrt(1088)*1 + sqrt(1088)) + ((2*sqrt(238))\/sqrt(7))\/(-1*sqrt(2)*2))*5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 - 110*o**3 - 2661*o**2 + 20996*o + 23548 = 0. Calculate o.\nAnswer: -58, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261207.7 litres to millilitres.\nAnswer: 261207700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -69*a**3 + 4*a**2 - 206*a + 610. Let h be g(3). Is -1835 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 11. Let w = 0.6 + -0.3. Which is the third smallest value? (a) -3\/5 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63363 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 2. Let c(g) = -g**3 - 9*g**2 + 9. Let z(d) = -2*d**3. Let u be z(-1). Suppose -u = -5*i + 8. What is i*c(v) - 9*j(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -311.63 - -310. Let c = n + 1.7. Let p = c - 0.07. What is the biggest value in p, 0.2, 1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61dd (base 16) to base 11\nAnswer: 17906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1310120 (base 8) to base 11\nAnswer: -229a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + m + 11 - 4)*(-1 + m + 1).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.74 times 13.8\nAnswer: -37.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(63)\/(sqrt(18)\/(sqrt(8)\/sqrt(4)) + sqrt(9)) + -4 + ((sqrt(7) + 2)*-5 - -2*(-1 + sqrt(7)))*-6.\nAnswer: 37*sqrt(7)\/2 + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*s - 5*s + 4*s + (-2*s + s + 3*s)*(38 + 34 - 106)*(5 + 17 - 1) as q*s + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 u when four letters picked without replacement from aawuupwukawkwwk.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/35 - 89\/140. What is the closest to -1\/3 in -6\/7, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*f = f + 9*f - 470 for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h = -84. Let x = 47 - h. Suppose -49 = -12*o + x*o. Calculate the remainder when 16 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 23 = -94. Suppose -4*i + a = -0*i - m, 0 = 3*i + m - 55. Calculate the highest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 22292.\nAnswer: 44584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -268*a**2 + 4*a - 119. Let q(z) = 2*z**2 - z. Let m(t) = -l(t) - 3*q(t). What is the second derivative of m(w) wrt w?\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 843*z - 848*z - 91, y - 177*z + 15 = -171*z for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -5*sqrt(136)*-1)\/(sqrt(8) - -4*sqrt(8)*2).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106995 - 16*h + 22*h - 106995 - 8*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*h + 5. Let k = h - -3. Differentiate 3*y**4 + k - y**4 - 3 with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 - 36 = 0. Suppose 5*p - 4*p - r = 0. What is the first derivative of -14 - p*c + 16 + 5*c wrt c?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 26 + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or 13836\/455?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 8:42 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557a (base 12) to base 2.\nAnswer: 10010011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124380187*m**2*q**2 - 595*m**2*q - 6286*m*q wrt q.\nAnswer: 248760374*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*h - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214496 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + -11)*(-2 + (-2)\/(-2)). Suppose -i = -y - 3*i + 1, -i - 2 = 3*y. Let x be y*((-49)\/17 + z). Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 624 divided by -6\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4358 is divided by 141.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aae when three letters picked without replacement from {e: 2, g: 1, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*k - 3*b**3 - 10*b**2*k - b**2 - 2*b*k + 179 wrt b.\nAnswer: 12*b*k - 18*b - 20*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27272, -27279, -27294, -27317?\nAnswer: -27348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -75. Let d(m) = -100*m**2 + 41*m**q + 43*m**2. Let b(f) = -2*f. What is d(b(u))?\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27928197 divided by 9\nAnswer: 3103133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 503.9 and -945.\nAnswer: -441.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(20\/(-1680)*7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 4, h: 1, e: 9}. What is prob of picking 1 e and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-2)\/(-4) - 1. Let t be 32\/(-5) + (-18)\/(-45). Let r be t\/8 + 52\/48. What is the third biggest value in -2\/17, j, r?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12519168 and 37\/10954272.\nAnswer: 87634176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 14*w - 979. Let c = w - 88. Put -12, c, -4 in increasing order.\nAnswer: -12, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-42)*(-4)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.082, -0.09, 5, 4, 0.2, -8.2 in descending order.\nAnswer: 5, 4, 0.2, 0.082, -0.09, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-30)*(-1 + 1 + -3). Is 6 a factor of 1*m\/10 + (-571)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*c + 213 + 1071 = 0. Sort -3, 1, 24, c.\nAnswer: c, -3, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62d (base 14) in base 3?\nAnswer: 1200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3485 (b) 2 (c) -4 (d) 0.2 (e) 2\/11 (f) -69 (g) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + 2*((sqrt(3) + -2)*-5 + 1)**2)*4 + -2.\nAnswer: -880*sqrt(3) + 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {r: 2, n: 6, i: 2, b: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 47 = -11*g + 2, -2*q = -5*g + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166 - -6. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 20, -k + 3 = -2*y + 2*k. Let o be y\/3 + 21\/3. Suppose o = 4*t - 2*t. What is the third biggest value in -5, t, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -51 (b) -5 (c) -3 (d) -0.4 (e) -1\/18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 10*s**2 + 5*s - 45. Let c be a(10). Suppose q + t - 7 = 0, 2*q = 3*q - c*t + 11. Sort q, -30, -1, 1 in increasing order.\nAnswer: -30, -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172863 - 25817?\nAnswer: -198680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - k + 33, -2*a - 3*k + 41 - 12 = 0. What is the smallest common multiple of 526 and a?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -6.16?\nAnswer: 6.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Let f(s) = -s + 3. Let j be f(0). Suppose -j*r + 12 = r. Calculate the remainder when v is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) - (-1*sqrt(1008) - sqrt(1008)) - sqrt(1008)))\/(sqrt(72)\/sqrt(200)))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Suppose 0 = -4*x - 2*p + 6, 4*p + 3 + 1 = h. Suppose -15 = 5*k - 0*b - 2*b, -x*k - b = -3. Which is smaller: 1\/21 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = -19*r + 11*r. What is the remainder when 362 is divided by r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -26. Suppose -r*h = 4*d - 55 - 41, 0 = 3*d + 9. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b41 (base 14) to base 6.\nAnswer: 553301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, x: 5, i: 3}. Give prob of picking 1 i, 2 x, and 1 b.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010000110101011 - 1000001101?\nAnswer: 111001111110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -44*m**2 + 637*m - 100. Give o(8).\nAnswer: 2180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -7*z**6\/120 - z**5\/20 - 3*z**2. Find the third derivative of w(b) wrt b.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - -4) - (1 + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s - 3*f = 8, -15 = -4*s - 5*f. Suppose 5*u = -15, 2*p = u - s*u - 2. Sort -8, -2, p.\nAnswer: -8, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5341 + 0.452?\nAnswer: 5341.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26441547.\nAnswer: 3, 11, 109, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.87515 months in years?\nAnswer: 13.1562625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2344317 is divided by 173?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -198*w**2 - 4526*w + 629. What is l(-23)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 1:28 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/55 - -73\/330. Find the common denominator of (-3)\/5*(-107)\/6 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**5\/60 - q**3\/3 + 2. Let o(t) be the third derivative of i(t). Let x(f) = -f**2. Give o(x(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4815866 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - s**2 + 25 - 5*s + 2*s**3 - 3*s**3 - 25 to x*s + v + k*s**3 + d*s**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*v - 20 = 0, 0 = 2*q + v + 3*v - 8. Suppose -a - 446 = -4*z + q*a, -3*a + 348 = 3*z. Let w = z - 46. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*k - 435*k + 2 = 2*i, -14 = -2*i - 4*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 1. Let y(o) = -13*o + 11. Calculate -6*k(r) + y(r).\nAnswer: -7*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*d + 7, 2*m - 25 = -17 - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12860 and 16?\nAnswer: 51440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3461*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 102\/11, 0.26 in decreasing order.\nAnswer: 102\/11, 1\/2, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from {k: 2, w: 1, m: 2, c: 8, r: 3, d: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -10, -3\/8387?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let x(h) = -108*h. Calculate -90*l(k) + x(k).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592) - sqrt(2592)*2) + -5*sqrt(72)\/sqrt(4))\/(((sqrt(210) + (2*sqrt(210) - sqrt(210)))\/sqrt(5))\/sqrt(7)).\nAnswer: -17*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkx when three letters picked without replacement from tgktvtvvtkgx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 127*r - 140. Is i(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n + 70 = 83 + 197. Calculate the greatest common divisor of n and 5442.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 6. Let h be o(-10). Differentiate 2*d**3 + 0 - 2*d**3 - 2 + 7*d**h wrt d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*j**3*y**2 + 4*i**2*j**2*l + 145*i*j**3*l**2*y**2 + 2*i*j**2*y - j**2*l**2 - j*l*y**2 - 23*l**2 wrt j?\nAnswer: 12*i**2*y**2 + 870*i*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + 85 + -96 - (-13 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2850 - 1129?\nAnswer: b1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 1 n when three letters picked without replacement from {l: 3, f: 3, u: 1, y: 1, n: 5}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -3*w**4\/8 + 4*w**3\/3 + 3*w**2. Let x be i(-8). What is x rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95670.68ml in litres?\nAnswer: 95.67068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39\/(1521\/(-260))*(-3)\/(-2). Let y be (p + 110\/10)*-1. Suppose 1 = r + 5. Sort 4, r, y, 1.\nAnswer: r, y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11388624*k**3 + 6418614*k?\nAnswer: 68331744*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 23*o**2 - 104*o. What is r(4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -17*a**2 - 3*a - 40. Let o(l) = 3*l. What is o(m(x))?\nAnswer: -51*x**2 - 9*x - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 169, 40, -379, -1232, -2663, -4816, -7835?\n\"Answer: -24*r**3 - r**2 + 42*r + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 9. Let f be w(7). Suppose -f*q + 17 = h, h + h = -4*q + 10. Let t(u) = -3 + 2 - 4 + 2*u - 3*u. Give t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:16 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 10132313?\nAnswer: 10132304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -59.99 * -72\nAnswer: 4319.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1612)\/(-10) + 3\/(-15). Let w be 5 + 85\/(-15) - (-11)\/3. Suppose 3*s - 366 = -w*r, 5*r - b = -s + 469. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5 + 53910*s**4 + 2205504*s**3 + 4249290*s**2 + 2097693*s = 0. Calculate s.\nAnswer: -17929, -39, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 6*k - 10. Determine n(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1266894616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 4*u + 120. Let c = -127 - -178. Let b = c - u. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37136448 and 2.\nAnswer: 37136448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*(-4)\/(-40)*10. Does 18 divide (-22)\/((-51)\/s - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 767132256 to the nearest integer?\nAnswer: 27697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93305*c**5 - 1398244*c wrt c.\nAnswer: -1866100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -6 - 3) + (-1 - 52407\/(-3))?\nAnswer: 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (-356400)\/(-7275) - -9?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02832 or 2\/5?\nAnswer: -0.02832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -77. Solve -l + 3 = -f*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10495 and 7145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -9 + (29 - 46)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (11 + -10 - (0 + -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2256 is divided by 141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33122311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-7))\/(10\/(-35))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4.06. Let j = 0.36 - h. Let y = -306 + 310. Which is the closest to 2\/3? (a) j (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -2\/5, 81?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14693034 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -172 or -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230758?\nAnswer: 2, 11, 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -15*p**3 - 120*p**2 + 79*p + 627. Give f(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 5*z + 8. Give h(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*u - 42795 = 4*u, -5*u - 34236 = -4*s. List the prime factors of s.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1045588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 + 116. Let c be (-1)\/2*(3 - 27)\/y. Let u(v) = -2*v - 5. Determine u(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112021 - 122?\nAnswer: 10111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 - 2410?\nAnswer: -3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24741 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 38463.48804 to the nearest integer.\nAnswer: 38463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p = -6. Suppose p*q + 22 - 136 = 0. Suppose b - q - 110 = 0. What are the prime factors of b?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -33*i**2 + 8*i - 6. Let b(s) = -33*s**2 + 7*s - 5. Let k(l) = -7*b(l) + 6*g(l). What is the tens digit of k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(162) + 0)*3 + -3*(2*sqrt(162) + 0).\nAnswer: -81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t - 3. Let p(x) = -x - 1. Give f(a) - 3*p(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.696 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 651582917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2002202202201100?\nAnswer: 2002202202201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -1567\/105 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -414cab (base 14) to base 2\nAnswer: -1000011001111000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 16*a**2 - 23. Let w be x(-16). Let m = w + 25. Let z(k) = k - 2. Give z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - p + 2. Determine z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850*a + 2 = 466*a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/1213548 or 1?\nAnswer: 19\/1213548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 2 - 2 + (29*r + r**2 - 29*r)*(-3 + 4 + 0) - 109*r**2 - 33227 + 33227.\nAnswer: -106*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627165 divided by 5?\nAnswer: 325433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -156591, -313333, -470069, -626793, -783499, -940181, -1096833, -1253449?\n\"Answer: r**3 - 3*r**2 - 156740*r + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-4)*1 - -3. Suppose m*v + 4*v = 44. Solve v - 31 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 3*t**2 + 4*t + 2. Let u be y(-2). Suppose 4*f + 6*x - 3*x - u = 0, f + x = 4. What is the units digit of (-5)\/6*f*-6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/4 - 58549*p**3\/4 + 234148*p**2 - 936528*p.\nAnswer: p*(p - 58533)*(p - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (3\/2 + 0). Suppose -4*u = -3*r - 5*u + 1, -2*r + 24 = -4*u. Suppose -r*m + 3 = 9. Is m != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1145 - 1133. Let l be 76 - (2 + 0\/1). Suppose -3*i + l = 8. What is the remainder when i is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3)\/v)\/v*v)\/((v*v*v*v\/v**(2\/25)*v)\/v)*(v\/v**(1\/4))**(-36\/5) assuming v is positive.\nAnswer: v**(-724\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2269?\nAnswer: 2\/2269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + (-1 - 0) + 3. Suppose 9*t - 76 = h*t. Let d = -1 - t. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - ((-60)\/(-12) - -7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-34)\/(-22))*15763\/(-2866). Solve -2*q - 3*k - 3 - 8 = 0, 1 = n*q + k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + 173. Let s = 0.2 + 0. Which is the nearest to -3\/5? (a) 2\/3 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1059*o**2 - 2*o + 2. Suppose 15*p - 24 = 3*p. Suppose 0 = -p*a + 5*s - 13, 0 = 4*a - 4*s + 10 - 2. Is j(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41\/(1 + -5 + 5) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (97*g - 52*g - 59*g)*(5*g**3 - g**3 - 2*g**3) + (-5 + 3 + 0)*(g**4 + g**4 - 3*g**4) to the form u*g + l*g**3 + b*g**4 + y*g**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 17\/3*l**3 + 46*l**2 + 0*l + 0 - 1\/6*l**4. Find the first derivative of k(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 5\/6*t**3 - 121*t + 11\/12*t**4 + 0*t**2 + 0*t**6 + 0*t**5 + 85\/21*t**7 - 1. What is the third derivative of g(q) wrt q?\nAnswer: 10200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/628 and (6\/(-24))\/(2\/(-158)).\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from yzeqgwze?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/3 + 3643*a**4\/3 - 1107774*a**3 + 9944480*a**2\/3 - 6624800*a\/3 = 0. What is a?\nAnswer: 0, 1, 2, 1820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwsw when four letters picked without replacement from {w: 8, s: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 11070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2, -313 in increasing order.\nAnswer: -313, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 950838986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 491173.5mm in micrometers?\nAnswer: 491173500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 3*h**2 + 2. Suppose 17 - 2 = 5*u. Let b be q(u). Solve b*z = z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 2053741?\nAnswer: 2053753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 20 = -4*h, 2*h - 3*z = 16 - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 39 = -7*m, 2*a + 55 = -5*m + 76 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 17*k + 15. Let t be r(-17). Suppose -10*d = -t*d + 1315. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -779, -776, -795, -848, -947, -1104, -1331, -1640?\n\"Answer: -2*r**3 + r**2 + 14*r - 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/35*(3 - 1\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.6 from 24617667.\nAnswer: 24617668.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.148 to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509895 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7263545 (base 9) in base 11?\nAnswer: 2210270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from gggpgprgggpgggpr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (8 + -9 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:40 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*m + 1, -5*m + 18 = 2*l - m. Suppose 0 = l*c - 108 - 2. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 7797.\nAnswer: -1\/7797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*o = 29 - 53, -o = 4. Let d(s) = 0*s - p*s + 37*s - 13*s. Let v(z) be the second derivative of -z**4\/6 + z. Calculate d(v(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 102, 108, 118, 132, 150, 172?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let v(o) = -8*o + 1. Let j(l) = -l**3 + 21*l**2 + 1. Suppose 0 = 4*h - 20*h + 336. Let y be j(h). Give y*v(f) - 6*i(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6342911 times -0.1?\nAnswer: -634291.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*h + 18*h + 47*h + 12*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -22*v**2 - 979*v + 6798. Give j(7).\nAnswer: -1133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*w = -38, -5*h + h + 4*w = 32. Let d = h + 58. What is the greatest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -73, -912 in ascending order.\nAnswer: -912, -73, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -995184*x**5 - x**3 - 98*x**2 + x + 156093?\nAnswer: -59711040*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 28*v**2. Let s(j) = -54*j + 155*j - 50*j - 52*j. Calculate s(n(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/5)\/(20 + -24 - (-22)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-34)*22\/33.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-30) + (-524)\/(-570). Is 1 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -32394?\nAnswer: 11\/16197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 2\/41, -4, 0.4, 176?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374762 or 374761?\nAnswer: 374761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 1 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v**1)\/((v**6*v)\/(v*(v**(2\/7)\/v)\/v*v)) assuming v is positive.\nAnswer: v**(-75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 5)*1*15. What is the common denominator of -59\/26 and -2 - 24\/q - 158\/(-40)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 + 168\/(-9). Let b = 44 + y. Suppose -4*v + b = -22. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 3*r**3 - 3*r**3 + (-2*r**3 + 0*r**3 + 3*r**3)*(5 + 0 - 3) - 3*r**3 + 2 - 4 + 5*r**3.\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 21*m + 20*m. Solve 104*n + m = 109*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 69241 from -117.\nAnswer: -69358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 19. What is the closest to o in -4\/3, -5, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.09 - -11.79. Let w = 14.7 - v. What is the third biggest value in -5\/6, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23677863 to the nearest integer?\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94439549.\nAnswer: 277, 340937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 117 = -143 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 92.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 5*f**2 + f**2 - 3*f**2 to w*f + r*f**2 + c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4297914 is divided by 19273.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1556, -3920, -6284?\n\"Answer: -2364*o + 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-4)\/(12\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.31307 millilitres to litres.\nAnswer: 0.05231307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/35420 and 167\/17710.\nAnswer: 35420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 8*w**2 + 7*w - 9. What is the units digit of b(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g - 4*z - 78 = 0, 3*g + z - 40 = 0. Calculate the remainder when 41 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 415\/3383 - 1\/199. Let k = -9 - -5. Which is the closest to -3? (a) 0 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**13*g**(3\/2)*g assuming g is positive.\nAnswer: g**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -157, -141, -115, -73, -9, 83, 209, 375?\n\"Answer: n**3 - n**2 + 12*n - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 7*w**4 - 5*w**4 - w**3 - w**4 + w**3 + 2*w**4 + 4*w**4 - 5*w**4 + (-3*w**3 - 3*w**3 + 4*w**3)*(w + w - 3*w).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - (-400)\/6. Suppose a + 45 = -o - 4*o, r = -3*a + 2*o. Let k = a + 60. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 507*t**2 + 2964*t + 4332.\nAnswer: 3*(13*t + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 549, 91\/6, 0.2?\nAnswer: 549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/518 and -59\/2890?\nAnswer: 748510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {j: 3, r: 8}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5544 divided by -50\nAnswer: 2772\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10531 - -1340?\nAnswer: -5151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-12))\/((-1)\/2) + 6. Solve -6*v + 1 = -m*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -900, -3555, -7980, -14175?\nAnswer: -22140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 - 112. Let j = 30 + i. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:59 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*a*x**2 + a*x - 3*a + 54527*x**4 - 220912*x - 3 wrt x?\nAnswer: -158*a + 654324*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 23. Let b be 3 + (-1)\/((-4)\/(-8)). Sort b, l, -3 in decreasing order.\nAnswer: l, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccncccncccc. Give prob of picking 2 n.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) - 858\/24. Let x be (a\/24)\/((-1)\/2). Let g(m) = m**3 + 4*m**2 - 3*m. What are the prime factors of g(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 253, 817, 1907, 3697, 6361?\nAnswer: 10073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffxfxxxxxxx?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1052352 and 391616.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/5*(-25)\/(-15). Put -1, o, -3 in increasing order.\nAnswer: -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**3 + 474326*f**2 - 1883*f - 102.\nAnswer: -30*f + 948652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -108080 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (12\/10 - 420\/(-525)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 557.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78747\/33 + 93\/(-341)?\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -2*f + z, -4*z = -3*f - 9. Suppose 0 = 5*j - a - 11, -3*a = 2*j - 27 + 9. Let t(v) = -1 + 5*v - j*v + 0 - 4*v. Determine t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. Suppose 4*o + 0*o + 4*i - 96 = 0, 2*o = t*i + 41. Suppose 9*u + 56 = 164. What is the remainder when o is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.5, 7, -276\/11, -4, 374?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d - -36?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27620, 55240, 82860, 110480, 138100?\n\"Answer: 27620*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8574 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.628 + 0.6. Let u = r - -0.038. What is the closest to u in -1\/2, 3\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 1. Let r be z(-1). Let m = -2.054 + 2.954. Which is the second biggest value? (a) -4 (b) m (c) 0.2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844977 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 - 3. Let r(z) = -23*z. Determine g(r(q)).\nAnswer: 2116*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8 and 53\/38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2044 - -4360?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 18 = g, -3*g + 30 = 5*a + 2*g. Suppose -a*c = 3*c. Solve -2*b + 0*b + 6 = c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44076545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d. Let t(o) = 5*o + 6*o + 9*o - 16*o. What is h(t(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (-25 - 16) + 18\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3643\/675 + 2\/675. Which is bigger: 6 or k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a96978 - 10?\nAnswer: -3a96988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 50209 = 3*t, 3*t = -22 + 31. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4586*j - 2123*j - 10744*j.\nAnswer: -17453*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 456192?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 37.73. Let y = -0.239 + d. Let j = -3.669 - y. What is j rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 7*b**2 - 8*b + 12. Let y be a(6). Suppose o - 44 = -5*u, -3*o - u = -y*u - 118. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*k + k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -47. Suppose 5*s - c = 0, 0 = -j - 4*j + s + 215. What is the highest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -48 (b) 2\/11 (c) 1\/114 (d) 4 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 36, -4 in descending order.\nAnswer: 36, 33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.58361 rounded to one decimal place?\nAnswer: -152.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415319 is divided by 1505?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*g + 3*h + 39 = -670*g, 3*g - 4*h + 18 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10363108 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1916 + 1938 = 2*z - 2*c, -5*z + 49 = -4*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 4987*v**2 - 1663890*v - 3307824.\nAnswer: (v - 5301)*(v + 2)*(v + 312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61\/236 - -1\/118. Sort -2\/31, -0.4, 0.2, h in decreasing order.\nAnswer: 0.2, -2\/31, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26834*j**2*l**3 - 114*j**2*l**2 + 2*j*l**2 + 51*l wrt l?\nAnswer: -161004*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4591)\/(-4) + ((-6)\/(-8))\/3. Let x = 2675 - l. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -160?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-2 - 0 - -3). Let j(m) = 2 + z - 2 - 7*m**3 - 2*m - 4. Suppose 0 = -2*s + 2. What is j(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 3134, 0.2, -1\/168, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0065760446 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.737281 meters to nanometers.\nAnswer: 2737281000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 2*n**2 + 2*n**2 + (2 + 2*n - 2)*(2*n + 2*n - 6*n) + (0*n + 3*n - 4*n)*(1 - 1 - 3*n) - 101*n**2 - 1017*n + 1017*n.\nAnswer: -99*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by -21\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8052664513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154 - -157. Suppose -5*i + c*f + 22 = 0, 4*i - f = f + 16. Solve 5*l + i = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -51. Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1947 and -28\/165.\nAnswer: 9735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 5740199*h - 5740210*h - 2*h**2 - 5740207*h + 17220616*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54994 divided by -9343?\nAnswer: 54994\/9343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 151900269942 - -0.5\nAnswer: 151900269942.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/12 + 3 + (-115)\/(-3). Let q be (-5 - o\/(-10))*(1 + 4). List the prime factors of (-18)\/q*(-368)\/(-24).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i\/(i*(i**(-9)*i*i*i)\/i*i))\/i)\/i)**44 assuming i is positive.\nAnswer: i**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8270.657 micrometers to nanometers.\nAnswer: 8270657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 59 = 407 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 23\/9 (c) 0.09 (d) -0.03 (e) 4 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 - 4 - 2*h + 3 + h**2 - 2. Let w(i) = 3*i**2 + 2*i + 2. Determine -2*r(s) - 3*w(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2304 - 4115?\nAnswer: -1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/15 + 469*r**2\/10 + 5820. Factor k(m).\nAnswer: -m*(m - 469)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 - 5010016?\nAnswer: -5007777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1641 - 3154 + 1652 - 65*x**3 to c*x + p*x**2 + k*x**3 + u and give k.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127584 divided by 14176.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*y + 164*y - 68*y + 183*y)*(1 + 0 + 1) in the form b + u*y and give u.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*a, -281 = -5*t + 4*a + 263. Find the common denominator of -53\/45 and ((-14)\/8)\/(t\/(-342)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -3*d**2\/2 + 4. Let p(t) = 2*t**2 + 5. Let v(k) = 61*k**2 - 6 - 63*k**2 + 2. Let c(s) = 4*p(s) + 5*v(s). What is g(c(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 2*g**2 - g + (1 - 1 + 3*g)*(-5 - 10*g + 5) to k*g + w*g**2 + a and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, -2, -27, -74, -149, -258?\n\"Answer: -c**3 - 2*c**2 + 4*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - h**2 - h - 1. Let j be (-2)\/7*28\/(-8). Let y(z) = 26*z + 0*z + j - 24*z + 2*z**2. Calculate -2*s(l) - y(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/96 and -67\/82.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -3*v. Let z be v\/((-6)\/(-56)) - -3. Suppose 5*p = 19 + z. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/2)\/(-20)*(-12)\/54?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2081, 3838, 5595, 7352, 9109, 10866?\n\"Answer: 1757*g + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -206*y - 170*y + 377*y. Let n(s) = 14*s**2 + 4*s - 1. Let c(h) = -28*h**2 - 7*h + 2. Let v(g) = -4*c(g) - 7*n(g). What is v(w(i))?\nAnswer: 14*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.169307.\nAnswer: -0.846535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -72. Suppose 26*q - 540 = -20. Let l = q + i. Sort 0.5, l, 0.\nAnswer: l, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 100*a + 188. List the prime factors of d(36).\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + 20. Calculate r(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000210405 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + 2 + 9 + 85*f**2 - 87*f**2)*(-2 - 1 + 2 - 1 - 4 + 6 + (-6 + 3 + 1)*(0 - 1 + 3) - 2 + 5 - 5) as h + k*f + j*f**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.36. Let p = -4.04 + c. What is the second biggest value in -5\/6, 3, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 96. Calculate the remainder when g is divided by ((-2)\/(-4))\/(3\/(4620\/10)).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6441, -22, 61, 1 in ascending order.\nAnswer: -22, 1, 61, 6441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/442 and -61\/340?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/60 + b**4\/6 - b**3\/2 - b**2. Suppose -11 = 3*q - 2*q. Let z = 15 + q. What is d(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-560)\/2436 - (3 - (-3)\/(-1)). Let y = z - 32\/29. Let o = 2.8 - 3. What is the nearest to 1\/4 in o, -3, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 5*m = 0. Let q = 2 - 0. Suppose m = -i + 2 + q. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))**(-3)\/(k**4*k**(2\/17)\/k*k))**(19\/3) assuming k is positive.\nAnswer: k**(-1330\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z)**(-3)*(z**6*z)\/(((z*z\/(z\/((z\/(((z*z\/(z\/(z*(z*z**(-3\/7))\/z)))\/z)\/z)*z*z)\/z)))\/z)\/z*z) assuming z is positive.\nAnswer: z**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 123 = -5437*p + 5411*p + 2*w, -4*w + 10 = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.03 - 0.03. Let c = 12.901602 - -0.100698. Let z = c - u. What is z rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l - l)*(l - l - 8*l**2) + (387*l + 387*l - 775*l)*(-4*l + 4*l + l**2).\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -45. Let d = -7 - y. Let l be 2 - (48\/d - 1). What is the smallest value in 4, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 45*c**2 - 75*c + 35.\nAnswer: -5*(c - 7)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 + 1. Let u = -4215 + 4212. Let x(f) = -2*f**3 + 3*f**2 + 1. Calculate u*j(w) + 3*x(w).\nAnswer: -3*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 6*x + 6. Let i(h) = -4*h + 3 + 11*h - 2*h + 0*h + h**2. Let a be i(-3). Let p be n(a). Solve -q - p = d - 0*q, q + 21 = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 4.5.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*n**4 + 1 + 2*n**3 + 14*n**4 + 0*n**3 - 5*n**3 in the form q*n + f*n**4 + u*n**3 + j + d*n**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 1199*l**2 + 685*l - 617999. Give v(-1200).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204 + 19. Let g = f - -249. What is the highest common factor of 320 and g?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 12 - 7*r**3 + 15.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 6:10 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3392, 76325 in increasing order.\nAnswer: -4, 3392, 76325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.278 and -3227?\nAnswer: 897.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 1395923?\nAnswer: 1395928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4677.482 millennia?\nAnswer: 467748.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -3*s**2 + 2 + s + 1\/12*s**4 - s**3. Suppose 4*f + 2 = 22. What is p(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x - 5 + 3*x - 5*x. Let p(w) = w**2 + 7*w + 10. Let k be p(-5). Let h be v(k). Which is the biggest value? (a) 0.2 (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 514231525?\nAnswer: -514231524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 203*p**3 - 389*p**2 - 2603*p - 2010 = 0. What is p?\nAnswer: -2, -1, 5, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**3 + 3*b**2 + 3*b + 3. Let h(o) = -24*o**3 + 14*o**2 + 16*o + 14. What is 14*f(q) - 3*h(q)?\nAnswer: 2*q**3 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167943.\nAnswer: 3, 17, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at least as big as -974774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**4 - 77*b**3 - 435*b**2 - 664*b - 140 = 0. What is b?\nAnswer: -10, -7, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2. Suppose -8*u - 4 = -4*u, -5*z + 15 = -5*u. Let x(g) = -3*g**2 - 2*g**2 + 6*g**2 - g**z - 2*g**2. Calculate x(k(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 + 6*u + 22 + 25*u - 7*u. Let v(o) = 2*o**2 + 6*o + 6. Let b(n) = -6*i(n) + 22*v(n). Let c(p) = -2*p**2. Give c(b(m)).\nAnswer: -8*m**4 + 96*m**3 - 288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1704717 (base 9) to base 13.\nAnswer: -27281b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258624 is divided by 1060?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**28\/d)*d*d)\/(((d\/((d\/(d**(5\/4)*d))\/d))\/d)\/d)*(d\/(d\/d**(-2\/39)))**29)**(4\/7) assuming d is positive.\nAnswer: d**(-4171\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 1, v: 1, m: 1, p: 1}. Give prob of sequence mpl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12220)\/5070 - (-1)\/(-13)*-1?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 + 7\/(42\/(-300)). Sort u, -4, -5 in decreasing order.\nAnswer: -4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11688.874133 to the nearest 100.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i + 5. Let o be (-3)\/(i\/(-6)) + 0. Let l(u) = 1 + 0 + 5*u**3 + 0*u**3 - 2*u**o. Give l(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123 or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at most 618\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 110. Let z(r) = r + 56. What is 6*b(l) + 11*z(l)?\nAnswer: -l - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -41, -31, -13, 13?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126, 266, 416, 576?\n\"Answer: 5*s**2 + 125*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 294, 1182, 2660, 4728?\n\"Answer: 295*w**2 + 3*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5226187 litres?\nAnswer: 522.6187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 4*q + 1. Suppose 0 = 5*z + 5*l - 35, 2*z + 3*z + 5 = 3*l. Let a be (z\/(-9))\/((-35)\/315). Give u(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 6165.\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(484))\/sqrt(11))\/(sqrt(40)\/sqrt(250)) + -3*(sqrt(55)\/(sqrt(25)\/sqrt(5) - sqrt(5) - sqrt(5)) + -2))**2.\nAnswer: 156*sqrt(11) + 1895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.245 and 115691010477.\nAnswer: 115691010477.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g*g*g**(2\/9))\/g)\/g)\/((g\/(g\/g**(-6)))\/g))\/(g**(-1)*g*g*g*(g**(2\/5)*g)\/g)*(g**(-5)\/g*g**5)**22 assuming g is positive.\nAnswer: g**(-683\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/32)\/((-75)\/(-100))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17))**2*1 - (-4 + sqrt(17) + -3 + sqrt(17)).\nAnswer: -2*sqrt(17) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 634, 993, 1586, 2413, 3474, 4769?\n\"Answer: 117*l**2 + 8*l + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 6*x - 6)*(-2 + 2 - 3*x) + 0*x**2 + 4*x**2 - 2*x**2 as r + y*x + w*x**2 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22723.099801 minus -5?\nAnswer: -22718.099801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 199 times -393\nAnswer: -78207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -144, -1\/6, 1\/7 in increasing order.\nAnswer: -144, -1\/6, 1\/7, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/9 - 515*g**2\/9 + 1104*g - 1980.\nAnswer: (g - 495)*(g - 18)*(g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.15, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 + 3*m - 16. Is 49 a factor of l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*v**2 - 1 + 591*v**2 + 569*v**2 + 2*v**3.\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 3. Let v be t(-3). Suppose -z - 3 = 2*z. Let k be z\/3 + 10\/(-42). Is v < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 4*z + 26 - 0, -2*z = 4*j + 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(52)\/sqrt(4) + sqrt(13)) + -3 + sqrt(208) + 4)**2 + 0 + 3.\nAnswer: 88*sqrt(13) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/13)*b*b**(-10)*(b\/b**(4\/13))\/(b**(1\/9)\/b) assuming b is positive.\nAnswer: b**(-895\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2718 - 14449 = -423*k + 13665 + 16967 for k.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -11693007?\nAnswer: 11693007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 706 + -689. What is the remainder when 370 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28297.\nAnswer: 28297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -0.5288.\nAnswer: -4.2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -48, -36\/1193, 5?\nAnswer: -36\/1193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.06 and 0.12738.\nAnswer: 8.18738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:15 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21100302231 + 1200?\nAnswer: 21100310031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716521115 to the power of 1\/3, to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*w + 480*w - 2258 = 4090 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.2, 3\/4, 0.072, 217 in increasing order.\nAnswer: -2\/5, -0.2, 0.072, 3\/4, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7 and 0.303075.\nAnswer: 1.003075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/(-42) + 3*(-2)\/36 and 29\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9953 and 172429?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*k - 9*k. Suppose 0 = -3*a - 4*c + 53, -k*a + 3*c + 39 = -2. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3522532898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 6:41 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, 8847, 23873, 44909, 71955?\nAnswer: 105011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6350 - -6422?\nAnswer: 16102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1062 and 37\/157530.\nAnswer: 472590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + 3 + 0*b - 6*b + 256*b**3 - 1 + b to the form c + x*b**3 + k*b + y*b**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-104)\/(-6))\/((-560)\/(-336)))\/(18\/(-5))\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2. Let t(a) = -a - 18. What is s(t(x))?\nAnswer: 2*x**2 + 72*x + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:45 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 3. Let m be 15*(-1 - 8\/(-12)). Suppose 4*y + 8 = 24. Let p = m + y. Let w(g) = 1. Calculate p*r(s) - 3*w(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*s - 1517410 = -203*s. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(((-6)\/8)\/(-36*54\/1152)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) 292 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*r**2 - 34*r**3 + 34*r**2 + (13*r - 6*r + 12*r)*(-r**2 - 6 + 6) to f*r**2 + n*r**3 + b + x*r and give n.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 39*d**2 + 29*d**2 - 17*d**2 + 26*d**2.\nAnswer: 77*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maooa. What is prob of sequence oa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2938, -5503, -7938, -10243?\n\"Answer: 65*p**2 - 2760*p - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03757874926 to six decimal places.\nAnswer: -0.037579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -1\/4*q**4 + 0*q**2 + 0 + q - 1\/6*q**3. Find the second derivative of m(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -32?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 87, 200, 325, 468, 635, 832, 1065, 1340?\n\"Answer: y**3 + 106*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 13*w**3 + 4*w**2)*(4 - 4 + 2*w) + (-1 - 1 + 0)*(2*w**4 + 3*w**4 - 3*w**4) + 0*w**4 - w**4 + 2*w**4.\nAnswer: 23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -672 + 674. Find the third derivative of 12*r**4 - 87*r**2 - 12*r**4 - 68*r**p - 129*r**5 wrt r.\nAnswer: -7740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -30, 24, -4\/7, -172, -4.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3318 by 474.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Suppose -p + 1 + 9 = 0. Let l(g) = -p + 16*g + 10. Give x(l(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 339*z + 18581. Give s(-387).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + -10 + 18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 + 964*b**2 - 3830*b + 2868 = 0.\nAnswer: 1, 3, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(91) + 1*sqrt(91)))\/sqrt(7) + 0)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {b: 2, y: 1, z: 1, l: 4, t: 5, k: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -8)\/(5\/(-45)). Let w = f - 1. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1244, 0.07, 4, 19\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 17. Let b be n(7). Suppose -b = -f + 17. What are the prime factors of 96\/18*f\/2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3 + 5)) + -1 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227069\/20 + -11351. What is the common denominator of x and (-10)\/(-10) + ((-1)\/(-42))\/((-6)\/681)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-79)\/(29\/(-7) - (-108)\/27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**6 + 10*b**3 - 2*b**2 - 43?\nAnswer: 360*b**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44631, -178528, -401691, -714120, -1115815, -1606776?\nAnswer: -2187003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/9 - -1\/18. Let z = -124.2 - -124. What is the nearest to -0.1 in -4, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 476*h - 564*h. Solve 0*r - r - 13 = 4*f, -4*r = -f + h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c - 11 = -l, -8 = 2*c - 4*l. What is the greatest common factor of 51 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjxssbsjsc. What is prob of sequence sxss?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -483 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2704*o**3 + 3*o**2 + 2*o. Let u be c(4). Round u to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10056 and 10056 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 39. Let b be d(0). Let i be b - ((-5)\/2 + 4\/8). Suppose i = 9*c + 5. Solve -c*r + 0*r = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17041429*t + 2576511 wrt t?\nAnswer: -17041429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.07 + -239.07. Let m = w + 460. Let g = -225.00000099 + m. What is g rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 + 162. Let t = q - -170. Solve -2*c - t = 3*u, 5*u + 5*c + 10 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-105)\/(-252))\/((-20)\/(-32)*-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527.0189l to millilitres.\nAnswer: 527018.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21.75 from -86.9.\nAnswer: -65.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.977153 minutes to milliseconds.\nAnswer: 58629.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(252))**2 + 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1988598 and 7338.\nAnswer: 1988598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -208*l - 2702. Let j be x(-13). Let n(h) be the third derivative of 0*h**3 - 1\/15*h**4 + 0*h + 1\/75*h**5 + 35*h**j + 0. Factor n(b).\nAnswer: 4*b*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 6 - 21. Let f be w\/(-2)*14\/(-21). What is the closest to f in -0.1, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l + 77. Let d be s(-15). List the prime factors of (1308\/(-30))\/(d\/(-10)).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:41 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -113, 5, -15, 3, 223, -4 in descending order.\nAnswer: 223, 5, 3, 0, -4, -15, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 9. Let k be m(9). Suppose 3*u = 5*z - 0*u + 402, k = -3*z + u - 238. Let l = 82 + z. Solve l*j + 11 = -9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2179795?\nAnswer: 5, 547, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 731*z**4 + 957*z + 23. Let s(h) = 183*h**4 + 239*h + 6. Let d(q) = -6*g(q) + 23*s(q). Find the second derivative of d(v) wrt v.\nAnswer: -2124*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -609*-121.84\nAnswer: 74200.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, w: 3, b: 4, i: 5}. Give prob of sequence iib.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1195, 470, 1\/13 in ascending order.\nAnswer: 1\/13, 470, 1195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 9:55 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1703*c**2 - 22*c + 168. Let j(v) = -568*v**2 + 8*v - 61. Give 11*j(a) + 4*r(a).\nAnswer: 564*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/5700 and 101\/94829190?\nAnswer: 948291900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.698 * -7.249\nAnswer: -5.059802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*f - 6 + 8 = 0, -y - f = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 316 - 312. Let y(i) be the third derivative of 0 + 0*i - 1\/24*i**c + 0*i**3 + 1\/60*i**5 + 7*i**2. What is the second derivative of y(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 11601232*w. Let u(i) = -3*i**2. Give u(t(h)).\nAnswer: -403765751753472*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106248.703724 + -106246.2. Let h = n + -2.473. Let u = h - 0.031. Round u to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(-3*r**3 - 2*r**3 + 4*r**3) + r - r - 2*r**3 - r**3 + 5*r**3 - 5*r**3 + 0*r**2 + 0*r**2 - 2*r**3)*(-605*r - 41605 + 41605).\nAnswer: 3630*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 404?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:09 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098 is divided by 1042.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*4 + -22 + 27. What is the smallest value in -3, y, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113672 is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -9*g + 4*g + 14, 0 = 3*a - 5*g - 21 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + 1. Let q be v(1). Sort q, -2, 2 in descending order.\nAnswer: q, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 226\/55 (b) 17 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, 5, -196, 1 in decreasing order.\nAnswer: 5, 1, -5, -10, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -39*q - 191. Let m be h(-5). Suppose -x - m*j = -6, -7 + 10 = 3*j. Factor 1\/6*n**3 - 1\/2*n**x - 5\/6 - 3\/2*n.\nAnswer: (n - 5)*(n + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 2*r - 1. Let t be j(3). Let o(f) = 2*f**2 + 142*f + 540. Let s be o(-67). Sort t, 7, s, 3 in descending order.\nAnswer: 7, s, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttp when three letters picked without replacement from ttpfmf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -160\/3. Let q = -784.5 - -784. Which is the nearest to 1\/5? (a) w (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11085014 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 8 = -2*c. Suppose -c*t + 6*t = 172. Let b = -23 + t. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39185369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = m - 5*m + 2, 4*z - m = 24. Solve z*h = -17 - 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(17))**2*-1 + sqrt(85)\/(sqrt(5) + sqrt(5) + 2*sqrt(5)) + -4 + 4)*-4 + 0.\nAnswer: -136 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-968)\/495)\/(-22))\/(324\/(-270))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 702*t - 2824. Give j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w + 0*w)*(-2*w**2 + 2*w**2 + w**4).\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1555 less than 64?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11731 - -18031?\nAnswer: 30762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from zsvtssvefee.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 855*j - 49564. Give d(58).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 222 - 95. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -118\/3. Which is the biggest value? (a) 0.05 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + 1 - 18*(-176)\/(-1152)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28 - 2)*(-2 - -3). Let s = i + 20. Let p be 8\/5 - 4\/s. Sort 1, -3, p in descending order.\nAnswer: p, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 - 14*s**2 - 142*s**2)*(-6 - 5 + 10).\nAnswer: 161*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -43. Suppose 4*i = 5 + 3. Suppose -r*v - 33600000 = 3*q, -5*v + i*v = 5*q + 33600000. Round v to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 1339\/(-669))\/(29\/(-174)). Are -2 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 39504?\nAnswer: 394bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*h**2 + 2\/5*h**4 - 16\/5*h**3 - 56\/5 + 64\/5*h = 0. What is h?\nAnswer: -2, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -4. Let m(w) = 6*w + 4. Let s be m(z). Let a be 48\/(-2376) + (-980)\/495. Are a and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 47487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -40*t**2 - 7. Let j(g) = g**2 + g + 1. Let k(p) = 2*j(p) - n(p). Suppose 2*s + 5*r = -3, 0*s - s = 4*r. Is k(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 3*r**7\/35 + r**4\/3 - 5*r**2\/2 + 6. Let u(o) be the second derivative of m(o). Find the second derivative of u(p) wrt p.\nAnswer: 216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i = 73*i - 4*k - 9348, 2 = -k. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19539 is divided by 65?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(sqrt(1539)*-2)**2 - (0 + sqrt(1539))*-3)*-5*-6 + 5.\nAnswer: -2954875 - 3240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 294*h**2 + 42*h + 3\/2.\nAnswer: 3*(14*h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -3*g. Suppose g = 2*d + 3*d - 50. Let s = d + -17. Is -5 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/5)\/s**(-3))**(-7\/9) assuming s is positive.\nAnswer: s**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2 - 33*z + 9*z - 42*z. Calculate the remainder when a(-2) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10367371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 156\/2518469?\nAnswer: 156\/2518469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 - 26*z + 33. Give n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -1.1. Let x = 0.6 - d. Let m = 6822 + -20465\/3. Sort m, x, -5 in decreasing order.\nAnswer: m, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 15*k - 128, 2*j - 18 = 10*k - 6*k for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:04 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81830993 to the nearest integer?\nAnswer: 9046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 16, -w + 3*x = -3*w - 160. Let f = w - -517\/6. Factor 0 + f*o**3 - 1\/6*o**2 + 0*o.\nAnswer: o**2*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 6 (b) -195 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 2, p: 4}. What is prob of picking 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44324 is divided by 1054?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44036*q**2 - 663 + 1980 - 661 - 656 to the form s*q**2 + z + v*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 2.08. Let n = -0.78 - g. Let f = -14\/11 - -37\/55. Which is the closest to f? (a) n (b) 4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 9*m - 12. Suppose -199 = 50*c - 449. What is g(c)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114222839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.4 (b) -3 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320744 is divided by 85945.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1647 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3198361019 to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 3 + 0)*(4 - 2 - 1)*(4*c + 2*c - 3*c) in the form t + z*c and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, x: 4, r: 8}. What is prob of sequence rr?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.5 + -24.5123. Let j = o + 0.01230661. What is j rounded to 7 dps?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5\/9 + 40*t**4\/9 - 68*t**3\/9 + 32*t**2\/9 = 0. Calculate t.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -35*l - 1. Let g(r) = -38*r - 1. Calculate 2*g(a) - 3*h(a).\nAnswer: 29*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -27*c. Suppose -w = -4*w - 3. What are the prime factors of u(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1823, 7479, 16969, 30293, 47451, 68443, 93269?\n\"Answer: 1917*h**2 - 95*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154.48 + 151. Let y = -0.32 + o. Round y to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, -1, -0.2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/10)\/(4\/(-10)). Suppose 4*x - 3*y - 5 = 18, y = m*x - 11. Solve x = f - 0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 2*y + 3. Let p be g(5). Suppose 4*o - 85 = 5*d, 2*o = -d + p - 4. Solve 0 = -2*c - 2*c + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.912 + -0.958. Which is the biggest value? (a) o (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3281 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3 - 33*r**2 - 65*r + 6. Let v(t) = -4*t**2 + 65*t + 64. Let f(k) = 5*m(k) + 4*v(k). Factor f(h).\nAnswer: -(h + 1)*(h + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 6*n = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.71835 minus 50895?\nAnswer: -50892.28165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*r - 72. Let g = r + 93. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -455\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -1968596.9006144.\nAnswer: -1968598.9006144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(252) - ((sqrt(252) + 1 + sqrt(252))**2 + sqrt(252) + 0))*-3.\nAnswer: 72*sqrt(7) + 3029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -0.5 (c) -3608 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = -10. Suppose i = 7 + p. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*u + 3717 = 809 - 4730 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2122914.\nAnswer: 2, 3, 353819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 76301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-seven fifths of a milligram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1477.342 - 613.\nAnswer: -2090.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121587165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -6*i**2 + 2422622*i + 1615084 = 0.\nAnswer: -2\/3, 403771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.807229269 + 0.00226?\nAnswer: 13.809489269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 6:51 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 653689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cpxxxcc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -0.4 (c) -79 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -182 - (-118 + 27) - 14.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 128900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-21 + 29)) + 26 + (-17 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((6*-4*-2*sqrt(110))\/(4*sqrt(490)*-2))**2)*2.\nAnswer: 988\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.27 + -1.73. Suppose -45*o = -51*o + 198. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -12. Let h(a) = a**2 - 3. Let l be h(-3). Let t(y) = -y + o*y - l*y. Let q(z) = -5*z**2. Calculate q(t(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 8. Let y be (-42)\/(-12)*u\/14. Suppose 3*t + 0*c + y*c = -528, 2*c = 8. What is t rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**5\/25 + o**4\/4 - o**3\/15 - o**2\/2 + 54. Find q such that t(q) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 1811549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 2*l**2 + 13*l + 11. Let b be z(-1). Solve 7*y + 7 = 3*y + 3*k, -6 = 4*y - b*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*c - q, 2 - 11 = 3*q. What is the remainder when 62 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 3*r**2 - 167*r**3 + 333*r**3 - 175*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -434, 2, 0.5.\nAnswer: -434, -1\/3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1067 divided by -11.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4 - 6. Let b be q\/8 - 250\/(-8). Suppose -3*j = -11 - b. What is the remainder when 40 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10460, 13876, 17292, 20708, 24124?\n\"Answer: 3416*r + 7044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millisecond in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 141 = 59. Let k be (-35 + 2)\/(((-105)\/10)\/7). Suppose 422 = -8*f + k. Is b <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2836, 5243, 7634, 10003, 12344?\n\"Answer: -v**3 - 2*v**2 + 2420*v + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 11:36 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5 + -161845.\nAnswer: -161841.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -161*x. Let m(c) = -3*c**2. Determine g(m(b)).\nAnswer: 483*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h + 8. Suppose 0 = 5*t - 71 - h. Suppose 0 = -3*b + t, -k = -0*b - b + 3. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/(-125) + 1*15\/50.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*c - 17 = 0, -656 + 679 = 3*z + 5*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1654949923\/1626572628 + -43700\/60811. Let g = -5\/743 - u. Find the common denominator of g and 67\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*o + 8524 + 4298 = 5724 - 8183 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from {r: 5, q: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 6 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 1\/6*k + 8\/9*k**3 - 9 - 2\/3*k**2. Factor h(i).\nAnswer: (4*i - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 288, 283, 276, 267?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -493, -844, -1265, -1756?\nAnswer: -2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7362 and 18702.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2088*l**2*q**3 - 2*l**2*q**2 - q**3 + 6*q**2 + 18*q wrt l?\nAnswer: -4176*l*q**3 - 4*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92664264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*d - 13 = -368*d + z, -3*z = 5*d + 43. Let g be (-2)\/5 - 2\/10. Sort d, g, -17, 3 in increasing order.\nAnswer: -17, d, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.051221 + 0.8.\nAnswer: 0.851221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8557 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:28 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 275153 = 4*g - 275167, 8*g - 10 = -n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z - 185. What is w(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678309?\nAnswer: 3, 226103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -55*l - 153 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24052 is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g + 76 = 2*j, j + 3*g - 38 = 0. Suppose 354 = j*l - 35*l. Suppose -4 = 4*m, 5*o - 4*m + l - 382 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 50 = s, -2*v + 4*s + 0 = 2. Let p = v - 6. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g + 12 = 0. Let k(i) = -i + 8. Let z(s) = 3*s - 25. Let t(p) = -6*p + 51. Let d(l) = -2*t(l) - 5*z(l). Determine g*d(m) + 17*k(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*g**3*h**3 + 115*g**3*h**2 - g**3 + 1198*g**2*h**3 - 26*g**2 + 106*g*h**3 - 4*g*h + h**2 - 2 wrt h?\nAnswer: 126*g**3 + 7188*g**2 + 636*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.48 + -35.56. Let l = 0.2 - 5.2. Which is the third smallest value? (a) l (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10821.6569 and 0.2.\nAnswer: 10821.8569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 1:31 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-230*v + 45*v - 163*v + 26*v)*(-1 + 2 + 0) to c + a*v and give a.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7 - 21*f**2 + 2 + 0 - 3. Let c(u) = 19*u**2 - 5. Let g(o) = 5*b(o) + 6*c(o). Let z(p) = 2*p**2. Give g(z(m)).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v**2 + 9*v + 52. Let l be f(-7). Let p = l + -523. Do 74\/15 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 8*p**2 - 7*p - 14. Let c = 33 - 13. What is the smallest common multiple of c and v(6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1438, 11025, 37050, 87733, 171294, 295953?\n\"Answer: 1370*r**3 - r**2 + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(13\/4)\/f)\/f*f)\/f*f*f**(-32)*f*f*(f**(8\/9))**(1\/87) assuming f is positive.\nAnswer: f**(-86881\/3132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -5, 1\/4, -71466?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaoaaaoaao. Give prob of picking 3 a and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 l when four letters picked without replacement from vvlllvvvvllvvvvvvl?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, -78, 2, 1 in descending order.\nAnswer: 16, 2, 1, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17436 + -17439. Is t at most as big as -217\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k - 35. Let x(z) = 2*z - 12. Let b(s) = -2*p(s) + 7*x(s). Calculate the remainder when b(10) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171954+5391.58\nAnswer: -166562.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 14 = 2*p, 0*p + 3 = p - w. Let v = 8362 + -8358. Solve 2*n = 3*n + p*z + 4, 0 = -3*n + v*z - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 478646.5l?\nAnswer: 478646500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 700, 526, 306, 34, -296, -690?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1590 + 903. Let z = x + 287. Let f = z + 5998\/15. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -3, -121711?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 0*p + 4*p + (p + 3*p - 3*p)*(-1 + 1 - 1) + 3 - 2*p - 3 - 4*p + p + 0*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 16 = 2*h, 12*h - 11*h = 2*s - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*w - 0. Let k = 644.9 - 701.9. Is k smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9672 + -127325?\nAnswer: -117653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/7 in 1\/2, 4, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(13\/4)\/(i**(10\/7)*i*i) assuming i is positive.\nAnswer: i**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5056.909 meters?\nAnswer: 505690.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10589.21*0.1\nAnswer: 1058.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 + x - 5*x - 5 + 2*x**2 + 46 to the form p*x**2 + a*x + s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 779561 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 + 2*j + 40 = 0 for j.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12165 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + m + 6, -5*a + 13 = -2*m - 2. Calculate the remainder when 3 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 17. Let d = 7 - 20. Let c = m - d. Solve 0 = 3*y - p - c, -3*y + 2*p + 0 + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103715 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3440666.001 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00101869446 to seven decimal places.\nAnswer: -0.0010187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1665612 and 15678?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*b, -14*b = -5*f - 18*b + 173. Which is smaller: -166 or f?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - 2.2. Let d = -640 + 643.83. Let o = -3.43 + d. What is the second smallest value in 4, u, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 5046641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + ((-4)\/(-5))\/(8\/(-20)). Let n(i) be the third derivative of -i**5\/15 + i**4\/8 - i**2. What is n(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/177 and 101\/2.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-518 - -519) + (1 + -3 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2540 = -12*p + 2644. Let w = p + -302. Suppose 0 = 5*c - 2*j - 264, c - 2*c - 2*j + 48 = 0. Calculate the highest common divisor of c and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27118*u**4 + 27373 wrt u.\nAnswer: 108472*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -285*f**3 - 476*f**2 - f + 46675?\nAnswer: -855*f**2 - 952*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y + 229. Let w be p(28). Let c(u) = -254*u + 104. Let r(f) = -127*f + 52. Let i(h) = w*r(h) - 2*c(h). What is the derivative of i(t) wrt t?\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/6405 and 79\/54656.\nAnswer: 819840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 2\/39*r**4 + 1\/780*r**6 + 4\/39*r**3 + 1\/78*r**5 + 0 - 6*r**2 + 0*r. Factor v(n).\nAnswer: 2*(n + 1)*(n + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -1. Let b = 5 + m. Suppose 4*d = -20, 2*d = -3*i + 10 - 26. Sort b, i, -0.3 in ascending order.\nAnswer: i, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*g - 97*g + 596*g)*(-7*g - 7*g + 4*g).\nAnswer: -5380*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 227*n - 12652. Calculate c(-101).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77339 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 4. Let y be 30\/(f\/(5 + -9)). Let j be 78 + 5 + (-3 - 0). What is the greatest common divisor of j and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -c + 11 - 0, -4*c + 14 = p. Differentiate 2 + 3*j**2 + j**2 - c wrt j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/10, -1.9, 8.07, -12\/5?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 19 = -2. What is the remainder when 47 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18) - (-50)\/(-18))*(-1 + 6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72036 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.241564km in millimeters?\nAnswer: 2241564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-124)\/24)\/(-1) + -6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -103. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -45*c**3 - 83045*c**2 + 46170*c + 36920 = 0.\nAnswer: -1846, -4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 20*k**2 - 69*k. Let u be s(-23). Suppose u = -7*x - 2*x + 4212. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11562301 is divided by 415.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-475)\/30 - (-1)\/(-6). Let q = w + 10. What is the units digit of 3\/q - (-9)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 20*d = 4. Sort -1, 7, d in decreasing order.\nAnswer: 7, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, n: 2, o: 6, c: 4, z: 1, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3147 (b) 1\/5 (c) -791\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 + 619 = 63*g - 419 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.45 times -7\nAnswer: -10.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-4)*(1 + 3). Let c = 10736 - 10324. Suppose q - 4*g = -0*g + 90, 0 = -b*q + g + c. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7375 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 111101101001?\nAnswer: 111101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 67.84. Let c = -1 - -1.16. Let r = z + c. What is the nearest to 0.2 in 0.5, -0.4, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13452 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1348\/56*2 + ((-56)\/(-98))\/(-4). Calculate the highest common divisor of n and 3408.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 2 - 0\/(-4). Let s(c) = 7*c. Suppose 5*j - 3 = 2. Let h(f) = -f. Let d(x) = j*s(x) + 5*h(x). Determine d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-1*-1*-5*-1 - 3*(0 + 1 + sqrt(171) + 4))*-6)**2.\nAnswer: -6480*sqrt(19) + 32724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/395 and -52\/869.\nAnswer: 4345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*q + 8*i - 3*i, -5*q - 9 = -3*i. Let u = q - -7. Suppose 3*d - 6 = -u*z, z = -5*d - 0*z + 27. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244741845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 704*k. Let z(p) = -4 + 3*p - 1 + 5 + 8*p. Calculate z(f(s)).\nAnswer: 7744*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1232974\/25165 - -166\/5033. Let p = t - 146353\/3080. Let o = -7\/11 + p. What is the common denominator of -91\/8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27671 - -27753. Calculate the highest common divisor of 7462 and v.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -3, 8, 0.023, -0.4?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, o: 7}. What is prob of picking 3 z?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4\/2 + 9*j**3\/2 - 12*j**2 + 8*j = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 18*z - 41. Suppose 4*v - 2 = -5*w - 43, 4*w = 3*v + 54. Let o be p(v). Solve 0 = 2*r - 5*r + o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 55202244.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237663 divided by 1?\nAnswer: 237663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(8\/(-12) - (-3 + 2)). Let w be ((-5)\/(-3))\/((-15)\/s). Solve -4*g - w*f + 7 = 0, -f + 3 - 4 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 1\/4 (c) -5 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -2024538?\nAnswer: 16196304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.97 - -3.03. What is the closest to -2 in -4\/7, 2, b?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2669, -6592, -15853, -25114?\n\"Answer: -9261*k + 11930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*m = 1, -13*m + 14*m = -2*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 2 + (sqrt(1100) + 2)*5 + -2 + 1).\nAnswer: 28 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 24*s**2 + 7*s. Is 24 a factor of z(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 + 29*v + 58. Give d(-5).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 2. Let i(s) = s + 1. Determine -3*i(k) + u(k).\nAnswer: -4*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z*z)**(-29)*z**(2\/3)\/(z**(6\/11)\/z) assuming z is positive.\nAnswer: z**(37\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**3 - 3*j**2 - 5*j - 3. Let b be c(-1). Let t be 4\/(-6)*(345\/40)\/(-23). What is the closest to b in t, -3\/7, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*p = -7*p - 76, a - 4*p = 28. Suppose 0 = -2*t + 6, 3*o - 2*t - a = -7*t. Solve 6*u - 4*h + 4 = u, -o*h = -u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*l - 4*l**4 - 80*l - 3035 + 21*l**2 + 3035 as u*l + n + m*l**2 + v*l**4 + p*l**3 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 111101100000110100001?\nAnswer: -111101100000110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 152110139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h*h**(-5))\/(h**(-1)*h)**6)**(-2) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 - 6*u**2 + 6. Let c(l) be the first derivative of -5*l**4\/4 - 5*l**3\/3 + 5*l + 161. Determine -6*c(w) + 5*g(w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -58 + 11 - 11*-1. Suppose 15 = -3*s, 4*h + 2*s - 3*s = -231. Let n = j + h. Is n > -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 7*r + 5. Let t be z(-4). Let x(u) = -u**3 - 6*u**2 + 4*u - 20. Let c be x(t). Let s = -1 - -1.1. What is the nearest to s in 2\/11, -1, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)*x)\/x**(4\/7)*x*x*x**(-1\/9)*x*x*x*x\/((x**2\/x)\/x)*x**3*x*x**2*(x\/(x\/x**(-3\/2)))\/(x*x*x**(-2\/5)) assuming x is positive.\nAnswer: x**(11929\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 + s. Let b be r(-1). Let t(h) = 10*h**2 - 11*h + 12. Calculate the smallest common multiple of 10 and t(b).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1664) - (sqrt(1664)*-2 + sqrt(1664))*6)\/(-6*sqrt(20)\/(sqrt(40)\/sqrt(4))).\nAnswer: -28*sqrt(13)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35112 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -493, -490, -487, -484?\n\"Answer: 3*f - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 14. Let n = 2 - j. Solve -4*v = -4*f + v - 27, 5*f + v + 12 = n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 + 4*j + 1. Let c(v) = -v**2. Let z(o) = 3*c(o) - f(o). Let x = 932 - 926. Calculate z(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 43*u**2 + 8 - 5 to m*u + j*u**2 + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 137683 (base 9) to base 15\nAnswer: 1a016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -49*h + 2. Give a(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2202 is divided by (2\/((-153)\/27 + 5))\/(4\/(-196)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 23*t - 3. Does 22 divide y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - -7541426?\nAnswer: 7541410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and -5.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12684513 is divided by 72?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 664331.5ug in nanograms?\nAnswer: 664331500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-2)*3\/21.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 3637168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44\/10 - (-14)\/(-35). Solve -4*k - 24 = -k + w*l, 0 = -3*k + 3*l - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, -533\/4, -4, -1\/7 in descending order.\nAnswer: -1\/7, -4\/11, -4, -533\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.35 in 5906, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -502*z**3\/3 + 3*z**2\/2 + 1416*z + 668. Find the first derivative of u(r) wrt r.\nAnswer: -1004*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*s**2 + 433*s**2 - 351719*s + 351194*s wrt s.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -714.\nAnswer: -5\/714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1\/u)\/u**(1\/9))\/(((u\/((u\/(u*u\/((u*u**(-12)\/u)\/u)*u))\/u))\/u)\/(u**(1\/5)\/u*u)))**(-42) assuming u is positive.\nAnswer: u**(10024\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32, -30, -32, -38?\n\"Answer: -2*l**2 + 8*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlltbluqqquqtlul. What is prob of sequence tl?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -9\/20*n**5 - 5*n**2 + 3\/2*n**3 + 0 + 0*n**4 + 5*n. Let j(d) = -2*d. Determine j(t(x)).\nAnswer: 54*x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1017\nAnswer: -2\/1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*d + 116*d + 4*z = 18272, 0 = -4*d - z + 14611. Is d a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + -32 + (-11 - (-8 - 11)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18\/45*15\/27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35198 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1356 divided by -226\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27717030?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/15*0 + 17. Let m = w - 15. Suppose 7*c - 36 = -m*c. Sort c, 16, 1.\nAnswer: 1, c, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4491*b**2. Let r(w) = -146*w**2. Calculate d(r(m)).\nAnswer: 95730156*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-30) + (-10)\/(-4). Solve -a - 5*c = -0*c - 9, 0 = -4*a + p*c + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/750 + 1\/(3\/18)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 211. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*j - 105, 2*v - 17 + 27 = 0. Calculate the highest common divisor of j and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u**2 + 2*u + u + 8*u**2 + 51*u**2.\nAnswer: 96*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x - 1 + 1)*(-763 + 265 - 194) to the form r*x + o and give r.\nAnswer: 2076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, f: 1, c: 5}. What is prob of picking 3 c and 1 f?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from xlxhhmt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*u - 258 - 84 - 333 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 2. Let t be r(-2). Suppose t = 5*d - 8*d. Let k(q) = q**3 + q**2 - q + 223. Is k(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-192)*2\/(-3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 625.\nAnswer: 1\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(63)\/sqrt(3))\/sqrt(3))**2 - (sqrt(7) + -3 + -5))*-4.\nAnswer: -12*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((-6160)\/63)*5\/(-30)*20.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjs when three letters picked without replacement from {q: 5, j: 2, s: 8}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j + 3*j)*(2*j**2 - j**2 - 2*j**2)*(20 - 37 + 16).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 2, -4 in ascending order.\nAnswer: -77, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7704?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/8 + 5005*m**4\/8 + 8406169*m**3\/8 + 4830630559*m**2\/8 + 78198829169*m\/4 + 118288050218 = 0.\nAnswer: -1657, -26, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6125735 and 20405?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.88597 hours in days?\nAnswer: 0.49524875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 19 = -19*z + 10*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30516 - -54107. List the prime factors of s.\nAnswer: 31, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1024 and 51\/16?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296543613 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 1. Let b(d) = -d. Let q(h) = 5*b(h) + 2*p(h). Let l be q(-5). Solve 2*o = l - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -17607 at least -17606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8799?\nAnswer: 3, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 85*o - 444. Give z(4).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350773, 1350775, 1350777, 1350779, 1350781, 1350783?\nAnswer: 1350785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 515737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8459, -18818, -29221, -39674, -50183, -60754, -71393?\nAnswer: -82106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (748\/(-176))\/((25\/4)\/5).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*j**5 + 8173469*j**4 - 2*j**2 - 67819*j - 326 wrt j?\nAnswer: 1140*j**2 + 196163256*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14562530033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*h*u + 5188*d**3*u - 4*d**3 + 2*d*h*u - d*h + 8456*h wrt d.\nAnswer: -12*d*h*u + 31128*d*u - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 - 2*p**2 + 1. Let o be j(1). Suppose -2*s - 828 = -6*s. What is the common denominator of 0\/o + s\/12 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 62568253*c**2. Let u(j) = 2*j**2. What is b(u(i))?\nAnswer: 250273012*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 0.3, 0.2, -0.02, 0.1 in decreasing order.\nAnswer: 0.3, 0.2, 0.1, -0.02, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/19? (a) -2 (b) 11 (c) -2\/11 (d) 11\/7 (e) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**3 + 5*p**2 - 760*p + 2279. Calculate j(3).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -10. Calculate the remainder when y is divided by 2*2 - (-27 - -13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 98 in -0.05, 4, -4\/5, -0.2, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 32 = u. Suppose 3*r = 51*i - 47*i + 6, 3*r = -i + 36. Calculate the lowest common multiple of r and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 3*t**2\/2 + 8. Let q(w) = 2*w**2. Determine q(i(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*sqrt(30))\/sqrt(6) + (sqrt(10)\/sqrt(2)*-2)**2 + 5 + ((2*sqrt(320) - sqrt(320))**2 - (sqrt(15)\/sqrt(3) + 5)**2)).\nAnswer: -315 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + -7 - -211) + 0 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.126 times 0.06\nAnswer: 0.00756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -833696, -833693, -833688, -833681, -833672, -833661, -833648?\n\"Answer: s**2 - 833697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 + 1. Let w be t(1). Suppose 0 = 3*g + 12, -3*g - w = -3*n + 13. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127305 or -127300?\nAnswer: -127305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/2016)\/(-1*(120\/(-18))\/(-10))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293846 is divided by 457?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 3*n + 78. Let v = -18 + n. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 149472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0*k**2 + 0*k**5 - 11*k + 25\/6*k**3 + 0*k**4 + 0 + k**7 + 0*k**6. Find the second derivative of s(t) wrt t.\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c + 101*c - 300 - 114 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 2. Let l be 0\/1 - (0 - 1 - 4). Suppose -y = l*b + 30, 97 + 12 = -3*y + 4*b. Is y at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t**(3\/8)\/t)\/t))\/(t\/(t*t\/(t*t*t\/((t\/(t\/(t*t\/(((t\/(t**11*t))\/t)\/t))))\/t)))))**(-6\/7))**(-5) assuming t is positive.\nAnswer: t**(1755\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -54380, -1\/3 in decreasing order.\nAnswer: 34, -1\/3, -54380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o**2. Let w(r) = -59243*r. Give w(p(l)).\nAnswer: -592430*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -44*r**3. Let d(p) = -1540*p**3. Give 5*d(z) - 176*l(z).\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -3 - 19 - -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 40*n + 3. What is the remainder when w(2) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*a**5*v + 5*a**5 + a**4 - 3*a**2*v + 2*a*v + 76*a wrt a?\nAnswer: 1200*a**2*v + 300*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*d + 26*d - 102*d + 29*d)*(4 + 2 - 4) as f + k*d and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**2*s**5 + 258719*k**2*s**2 + 226226*s**5 wrt s.\nAnswer: 60*k**2*s**2 + 13573560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*q**3 - 3*q**4 - 123*q**3 + q**2 + 59*q**3 + 2 as i + o*q**3 + n*q**2 + c*q + b*q**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**7\/105 + c**4\/3 - 7*c**2. Find the second derivative of m(r) wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 295532590?\nAnswer: 886597770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/(-15)*((-192)\/9 - 2). Suppose -48*a + c = -41*a. Solve 3*o + 3*b = 0, -2*o - a = -o - 3*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3 = 158*d - 154*d, -5*d + 4 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98384 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-8))\/(-3*(-3)\/(-288)). Suppose 3*y - 52 = -m. Solve -z = -8 + y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/72*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7737 divided by 4.\nAnswer: -7737\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8 = -4*a, -a = -5*a + 8. Differentiate g*s**2 + 2 + s**2 + 4*s**2 - s**2 with respect to s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/42 and 2\/29955.\nAnswer: 419370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 7*p - 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 3. Let z(b) = -b. Determine -u(c) + 3*z(c).\nAnswer: -4*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - sqrt(425)*2)*-4 - (sqrt(425) + ((sqrt(425) - 2*sqrt(425))*6)**2 - sqrt(425)).\nAnswer: -15300 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 - 13*b**4\/12 + 3*b**3 - 3*b**2\/2 + 4*b. What is the remainder when t(12) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2464 and -115\/616.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -16881, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2470 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i - 11. Suppose -41*l = -46*l. Let g be u(l). Let v = g + 45. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - b - 3)*(-7*b**2 + 0*b**2 + b**2)*(3 - 9 - 2) as v*b**3 + i + h*b**2 + x*b and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l + 37 = c, 0 = -2*c - 2*l + 134. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568 and 2376796.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + h. Let n(l) = -4*l**2 - 6*l. Let r(c) = n(c) + 6*q(c). Let g(w) = -1. Let z(v) = -v + 4. Let s(b) = 12*g(b) + 3*z(b). Determine s(r(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1 - 12*a + 4*a + 3 - a**2. Let o = -23 - -17. Let j = -114 + 119. Let r(i) = -i**2 - 7*i + 3. Determine j*t(h) + o*r(h).\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -33. Let z(h) = 11*h**2 - 21*h - 10. Let j be z(x). What is j rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 0 = -27. Is 0 + -2 - (w - 160) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -14. Solve b + 3*v + k = -12, 0 = 3*b - 3*v - 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, o: 1, h: 1}. What is prob of sequence ho?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5 + 22*z**4 + 38*z**3 - 86*z**2 - 40*z + 64 = 0?\nAnswer: -8, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3953949*t**4 + 2096*t**2 + 11*t.\nAnswer: -94894776*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -2667.\nAnswer: 48006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 - n - 2. Let x be r(-2). Are -14 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049303 is divided by 1032.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 226256 and 3575?\nAnswer: 222681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 8*q**2 - 5*q - 19. Let h be k(-9). Suppose -4*l - 4*y + h = -8*y, -3*y = 3*l - 651. What are the prime factors of l?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 55*o. Let l(h) = 291*h + 294*h + 301*h - 879*h. What is c(l(x))?\nAnswer: 385*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2516*g**2*n + 699*g**2 wrt n.\nAnswer: 2516*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32 - 0)\/((-2)\/14). Let x be -32*(-11)\/66*6. Calculate the highest common divisor of r and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1630 less than -1631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Let s(d) = -2*d + 6. Let i be s(4). Put 3, k, i in increasing order.\nAnswer: i, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*r + 18, -196*r = 2*u - 199*r + 17. Solve -1\/2*h + 0 - 11\/4*h**u = 0.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180050 and 1662.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18665 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: Solve -2*m**5 + 104*m**4 - 1728*m**3 + 7776*m**2 + 23328*m = 0.\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = -54*b. Let o be ((-4725)\/28)\/((-1)\/4). Find the second derivative of b*r**5 + o*r + r**5 - 633*r wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 1, 3*y + 288 = 5*u - 0*y. What is the common denominator of 1\/2 - 1463\/u and -81\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c + 7. Let d be 192\/(-108) - 2\/9. Let z be y(d). Is (z - (-1 + -1)) + 216 + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9, 0.3, -0.5, 3\/5, 0.1, 789?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 151*l - 1232. Calculate z(10).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -87775 times 0.5\nAnswer: -43887.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 20285.\nAnswer: 3\/20285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22027766 is divided by 12070?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 51879*f + 12970.\nAnswer: -(f + 12970)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhdhh. Give prob of sequence yhhh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3196 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/13, 19.3, -0.637 in ascending order.\nAnswer: -0.637, 2\/13, 2, 19.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 975*i**3 + 43*i**2 - 7 - 43*i**2.\nAnswer: 975*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/7*(3 + -2). Solve 3*a + 2*a = 5*n - 30, y = 5*a + 2*n + 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232792473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33465 is divided by 5575.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1977 and 1060331.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(4 - 4774\/35). Let i = y - 132. Factor -4\/5*o + 6\/5 - i*o**2.\nAnswer: -2*(o - 1)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (6 - (14 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31035?\nAnswer: 3, 5, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -686 - -691. Suppose -410 = -o - 2*p, 0 = 3*p + 14 - v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1651 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 920207 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -1.9, 5, 0.314, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) -2 (c) 5 (d) -0.0772 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 50 = 2. Let w = 53 - s. Solve 24 = -4*n - w*q, -3*n + 12 = -3*q + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)\/sqrt(96) + sqrt(33))*-2 + ((-1*sqrt(264))\/sqrt(8) - -6*sqrt(66)\/sqrt(2)))\/((sqrt(55) - sqrt(55)*-3*-6)\/(1*sqrt(125))).\nAnswer: -25*sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 132 = -l. Let h be l\/(-3)*(-8 + 5). What is the common denominator of ((-6)\/h)\/((-3)\/107) and 21\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(12\/(-10)))\/((-20)\/(-24))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*v - 97*v - 8 - 83*v.\nAnswer: 11*v - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 803493.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/16 - -43\/176. Suppose 4*j - 2*x = -2, x = 3*x - 6. Which is the biggest value? (a) j (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.8. Suppose 5*t - f - 277 = 0, -2*t = -6*f + f - 120. Suppose 0 = 5*j - 16*j + t. What is the nearest to m in j, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9453*l = -9697*l + 10492 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 43*l**2 + 81*l - 590. Let d be a(-45). Which is greater: -201 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y = 108*y - 2*t + 14, -6*t = 30 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 4}. Give prob of sequence yb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 6, -5*s - 5*t + 13 + 2 = 0. Solve -s*n = b + 30, 5*b + 16 + 9 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-1\/5)*n**(-1\/6)\/n*(n\/n**(-1))\/(n*n*n**(5\/3)*n) assuming n is positive.\nAnswer: n**(-79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78246?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 352940 divided by 4\nAnswer: 88235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12947.7 + 12948. Sort -71\/7, 0.4, 0.5, y, 1.\nAnswer: -71\/7, y, 0.4, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/3, 0.136, 0.4?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*f + 116*f + 17 = 3*g, 2*g = -5*f + 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69412054 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - (-196)\/42. Solve 2 + 3 = -c - t*w, 0 = w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -884*y + 35. Let d be z(-7). Suppose 10*j - 12*j + d = -w, 0 = -j + w + 3114. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -198288.\nAnswer: 5\/198288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*x - 0*x + 25, 5 = -2*x + z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 4*f**2 - 5*f. Calculate the remainder when x(-6) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60\/75*19370\/4?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327848 and 1161256?\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 122108.\nAnswer: 1343188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0 + a + 1)*(8 + 1 + 17)*(-a + 3*a + 0*a).\nAnswer: 52*a**2 + 52*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2344*s**3*v**5 - 227105*s**3*v + 7*s*v**3 wrt v.\nAnswer: 46880*s**3*v**3 + 42*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**6\/120 + 7*m**4\/12 - 14*m. Let x(b) be the third derivative of i(b). Let v = -3 - -4. Give x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 63386 = 3*p - 2*m, 4*p = -5*m + 84517. Let b = p - 7869. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/10 + (-2 - 96\/(-40)). Solve 3*w + z*a + 4 = -0*a, 8 = -4*w - 2*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 93. Let n(d) = 3*d**2 + 187. Calculate 5*k(r) - 3*n(r).\nAnswer: r**2 - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -23787707 and -23787710 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let o(s) = -17*s**2 + 85*s - 85. Determine -85*m(u) - o(u).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 2\/11 (c) 0.06 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3432 - 1681\nAnswer: -5113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 62*y**3 - 33*y**2 - 73490*y wrt y?\nAnswer: 24*y**2 + 372*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3) + (sqrt(48) - sqrt(3))*4 + sqrt(3) - 1*1*sqrt(3))**2.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 4, 168, -335, 1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 67\/2, 8\/37 in increasing order.\nAnswer: 8\/37, 3, 4, 67\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1574 (base 11) to base 5.\nAnswer: 31032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r = -19*r - 18158. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3 = 4*u - u + 2*u, -2*u + r = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25707938 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 402 and 142841186.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*p = -523*p + 588 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 26291801.92 to the nearest one thousand.\nAnswer: 26292000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5875 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y - 8*y + 3*y**2 + (-3*y + 2*y**2 + 3*y)*(0 - 1 - 1).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*z + 577, -2*z - 3*i - 136 = -z. Let h = z + 354. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6736542.\nAnswer: 2, 3, 1122757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*t = -921, -2*a - t = -556 - 1259. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p. Let q(d) = 15*d - 1. Let m(n) = 14*b(n) + 4*q(n). Let t be m(3). Solve -5*x = 3*f - 33 + t, 0 = 3*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1.7476?\nAnswer: -3.2524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.22 in -0.2, 5, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -4590199 and -4590200 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10484334 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/88*(-8)\/(-10). Which is the biggest value? (a) 3 (b) -2 (c) 2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 11*s**2 + 19*s + 16. Calculate j(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -551 - -508.9. Let d = f + 39. Let b = 328\/845 + 2\/169. Is d less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.4, -5, 1, 3 in ascending order.\nAnswer: -5, 1, 3, 10.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -115, 4 in decreasing order.\nAnswer: 4, 1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*a**3 - 1088*a**2 - 20982*a + 6084.\nAnswer: -2*(a + 39)**2*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = -12. Let h = -1 + y. Find the first derivative of a + 0 + 3*a + h - 2*a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/4 - 2*b**3\/3 + 3*b**2\/2 + 7*b - 672. Let i(l) = 2*l - 1. Let f be i(-1). Let n be o(f). Solve n = -5*a - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = -15. Let j = 6 - 2. Let t be 22\/(-30) + j\/10. What is the closest to t in -0.4, f, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 2, g: 4, k: 1}. Give prob of picking 1 k and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010000111101 (base 2) to base 11.\nAnswer: a058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 4*s - 18. What is the remainder when 83 is divided by q(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 4*r + 10, -54*r + 18 = -s - 58*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -199*u + 3. Let y be 5 + -6 + (-1 - 0) + 0. Is f(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-1)\/2) + -3. Let c = -2 + 2. Let a = -1.22 - -0.22. What is the nearest to a in c, x, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10760 and 51512911.\nAnswer: 51502151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Let g(u) be the third derivative of u**5\/60 - u**4\/4 - 7*u**3\/6 + 43*u**2. Let b be g(8). Calculate the highest common factor of b and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cymccoccchcmhccc. Give prob of sequence yc.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3 + 427*f**2*g**3 - 15*g**3 + 5*g wrt f.\nAnswer: -6*f**2 + 854*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/33)*m*m**20*m*m assuming m is positive.\nAnswer: m**(757\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w**2 - 54 + 54)*(21*w**2 + 1 - 10*w**2 - 7*w**2) + 3 + 2*w**4 - 3 + (4 + w**3 - 4)*(-2 + 2 + w).\nAnswer: -53*w**4 - 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {p: 3, q: 1, f: 5, v: 3, h: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*m - 831 - 1260 + 500. Let s = 14 - 19. Which is the fourth biggest value? (a) m (b) s (c) 0.2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 514 (base 6) to base 3\nAnswer: 21001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138.1 + 132. Let v = o + -3.8. Let w = 10 + v. Which is smaller: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/288222 and -71\/405135324.\nAnswer: 4456488564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*t = -5*t - 1, -2*s = 4*t + 2. Let w(a) = -2*a**3. Let h be w(s). Let d be (1 + 2\/(-1))*-1. Which is greater: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4 - p**3 + 0 + (-2*p**3 + 2*p**3 + p**3)*(-1 - 3 + 3).\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 86 = 36 + 32 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 161530.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 22?\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -723 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17583?\nAnswer: 3, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138457457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1*5\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 11*n - 27. Calculate c(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*d + 3*d. Let i be (7\/7)\/(3\/d). Solve -4*b = -2*w - 3 + 21, 4*b = -i*w - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*s**3 - 347*s**3 - 216*s**3 + 1258*s**3.\nAnswer: 2247*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.049964745 to 3 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*o)**(4\/15)*o*o*o\/o**7*o*o*o**9 assuming o is positive.\nAnswer: o**(121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 56 = -2*k, -5*z = 4*k - z - 56. Let v be k\/16*(-4)\/(-24). Is -1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10489*x + 1300630. Calculate s(-124).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 1134 = -9*h. Solve 3*a = -4*p - 17, -h + 10 = p + 5*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 8*u + 4. Let b be d(-6). Suppose 2*h - 3*h = -40. What is the greatest common factor of b and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/523 - 16193\/5230. Find the common denominator of -29\/96 and k.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*-34*1. Suppose j + 13 = 2*u. Let h = u + -3. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -18988.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5 - 14*s**4 - 36*s**3 + 170*s**2 + 469*s - 588 = 0.\nAnswer: -7, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13116493?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from efgkkkezkf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1349.8 + 2127.9. Let i = g - 849. Round i to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -843\/4 (c) -0.08 (d) -6 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 49. Suppose 2*h + 4*u - 16 = 0, 0*h = -5*h - 4*u + 16. Does 10 divide (h - x)*(-7 + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4083*c**4 - 32*c**3 + 637*c**2 + 454702679*c wrt c?\nAnswer: 48996*c**2 - 192*c + 1274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1800, -1824, -1862, -1920, -2004?\n\"Answer: -y**3 - y**2 - 14*y - 1784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(0*x + 3*x - x)*(-3 + 11 + 17) - 19*x - 79*x + 41*x as a + f*x and give f.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189 a factor of 378627461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 9*f**2 - 3*f - 13. Let a be q(9). Let g = a + 35. Let c be 8 + g - (2 + -91). Calculate the highest common divisor of c and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 8*l**2 + 3*l + 64. Let u be d(0). Solve -59*p = -u*p - 35 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(312\/(-9))*48\/(-36)*12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 1 = -1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80730 divided by 23.\nAnswer: -3510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5337046 - 19*d - 17*d + 5336915)*(4*d - 5*d - 1 - 1) in the form f*d**2 + l + k*d and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - n + 0 + (-2 - 3*n + 2)*(6 + 0 - 1) + n - 4*n + 9*n to y + f*n and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 13*d**5\/4 + d**3\/3 + 4*d**2 + 61*d. Find the second derivative of g(z) wrt z.\nAnswer: 390*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.336 (c) 2\/11 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 5*r + q, -5366*r - 4*q = -5362*r - 76 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*j + 231 = 21*j, 3*m - 5*j - 39 = m - 22 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77592 and 13568.\nAnswer: 2482944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 32*p**3 - 117652*p**2 + 470192*p - 352572 = 0.\nAnswer: 1, 3, 29381\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-357*z**3 - 808*z**3 + 133*z**3)*(-18*z - 17*z + 0*z).\nAnswer: 36120*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -0*p. Let -p*z**4 - 4*z - 2 + 7*z - 3*z + 4*z**2 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-18))\/(6\/9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.0415.\nAnswer: 0.00415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444586065?\nAnswer: 5, 13, 22224401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -0*t. Let p be (-20)\/6 - (-1)\/t. Let d = p + 6. Calculate the remainder when 5 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3 + 20*k - 2 - k**2 - 2*k - 17 - 1. Determine r(11).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + 1 + 5 + -3. Let t(a) = -a**2 + 4*a - 10. Let p(u) = -u**2 + 4*u - 9. Let d be (-6)\/4 - (-120)\/16. Let q(c) = d*p(c) + m*t(c). Factor q(i).\nAnswer: -(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 343227712165 - 343227704548.61400014. Let g = a - 7616.296. Let l = g - 0.09. What is l rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 103*j - 105*j. Determine n so that j*n**2 + 6*n**3 + 2*n**2 - 8*n**5 + 91*n - 48*n - 22*n**4 - 51*n = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 8 - 355137*c + 10.\nAnswer: -355137*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkooooonkjno. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 73 - 15 = 5*u, -g + 18*u - 415 = -21*u + u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/20 - 5*g**4\/6 - 11*g**3\/6 + 6*g**2 + 240*g. Calculate t(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -16*5\/40*-4. Solve r*a + 21 - 29 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 39401*p. Let o(b) = -2*b. What is m(o(v))?\nAnswer: -78802*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -269103 divided by 3\nAnswer: -89701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -301\/31796?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a - 10*a = -5*u - 91, -4*a - 6*u = -8*u - 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4573 (b) -3 (c) -0.3 (d) -13 (e) -0.01 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**7\/w)\/w*w*w**(-9)*(w**(-3))**(-2\/183))**(1\/52) assuming w is positive.\nAnswer: w**(-30\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 - ((1 - 1) + -36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*a - 3. Let z be (-2 - (0 + 2169997)) + a. What is z rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1001174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**3 - 9*d**2 - 17*d - 50. Let t(s) = 6*s**3 + 8*s**2 + 17*s + 53. Let y(i) = -6*t(i) - 5*v(i). What is the units digit of y(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 749*c**4\/2 - 1183*c - 638. Find the first derivative of q(w) wrt w.\nAnswer: 4494*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24 (b) -4 (c) 0 (d) -1\/3 (e) 2\/743 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Solve f*m + 19 = 3*j, -m - 1 = 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 + 25*q - 54. Suppose -269*t - 39 = -274*t - o, 3*t - 4*o = 5. What is g(t)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 282, 278, 272, 264, 254, 242, 228?\n\"Answer: -m**2 - m + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = -4*k - 5*m, 3*m = -2*k - 5. Is 13 a factor of (k - 2)\/(-2) + 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 33 = -7*y + 3*i, -4*y + 4*i = -20 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (37 + -15 - 13 - 16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 167*j**2 + 9*j + 16. Let v be r(-5). Suppose 2*t + 5*b = 3024, -b + 3368 + v = 5*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 16 = 0, -14 = -0*g + 3*g + 5*f. Suppose 4*n = 5*q - 23, -g = 5*n + 2*q + 2. What is the nearest to n in 0, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n - 36*n = -36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b - 2*o + 3*o, -o + 12 = 3*b. Solve 2*v = -v + b*x - 12, 4*v = -3*x + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/((u*u*u\/(u\/((u\/u**6)\/u)))\/u)*(u*u*u*u*u**(-1)\/u*u)\/u)**(-1\/15)*(u\/u**0)**(-2\/45)\/(u**6*u**(-2)) assuming u is positive.\nAnswer: u**(-212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 10 = 14*p. Find the third derivative of -746*z**6 - 16*z**2 - 108*z**p + 568*z**6 wrt z.\nAnswer: -21360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.8 - 24. Let g = t - -0.2. Let d be (4\/(-15))\/(2\/3). Which is the smallest value? (a) d (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*x - 21 = 69*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 345347959 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*(17 + (-176)\/11).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601, 485, 227, -245, -1003, -2119, -3665?\nAnswer: -5713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4 = -4*i. What is the second derivative of 5*k**i - 12*k - 11*k + 13*k wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 11) to base 13.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -677 * -18.4111.\nAnswer: 12464.3147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 2, c: 1, l: 2, s: 1, x: 1}. Give prob of sequence txc.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) -1 (c) -0.4 (d) 4 (e) 1\/124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 10*m**2 + m + 14. Calculate the remainder when 9 is divided by k(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*t = -3, -t + 33 = 3*y - 6. Suppose -3*k + 0*i - 5*i = -38, 0 = -4*k + 3*i + y. What is the first derivative of -17 + 13 + 28*g + k + 9 wrt g?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2906, -11593, -26070, -46337, -72394, -104241?\n\"Answer: -2895*x**2 - 2*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 70, 93, 110, 121, 126?\n\"Answer: -3*q**2 + 38*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.301 and 1387.9.\nAnswer: -417.7579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -139. Calculate the greatest common factor of 400 and t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((0\/4)\/(-1) - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.7 + -0.7. Let p = 141.1 + -153. Let c = -16.9 - p. What is the third smallest value in m, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.146 + 0.744. Let s = -0.01 - g. Let x be (-4 - (-138)\/35)*5. Which is the smallest value? (a) s (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**2 - 634 + 21*q**2 + 636 + 0*q**2.\nAnswer: 5*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1086 or 1080?\nAnswer: 1086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4860, 4841, 4822, 4803, 4784, 4765?\n\"Answer: -19*c + 4879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, e: 4, u: 1, a: 2}. Give prob of picking 3 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 6*d = 0. Let m(u) be the second derivative of d*u**4 + 1\/10*u**5 + 0*u**2 - 2\/3*u**3 + 0 - 4*u. Find the second derivative of m(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-3 - -6)*-1. Let d = k + -3. What is the third smallest value in 3\/5, -2\/7, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 10*d - 5*d. Suppose 164 = d*m + 3*b + b, -2*m = 5*b - 73. Let g = 343 - m. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 96995*k - 8729634. Determine y(90).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113.86 - -60.97. Let a = x - 0.11. Let w = a + 51.55. Round w to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - (10 - 5) - (-383)\/270 and 139\/150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10582661 + -10582667.0000088. Let h = j - -6. Round h to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83325616 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*s - 34 = 0, 3*n - 44*s + 43*s + 23 = 0. Suppose 5*v - 12 = 3. Put 0, v, -5, n in descending order.\nAnswer: v, 0, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*w - 2800 = 81*w. Suppose -4*v + 0*v = t - 30, 55 = 4*t + 3*v. Let q be w\/(-11) + t\/55. What is the highest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1121110022122022?\nAnswer: 1121110022122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48053 + -48055.3311. Round k to 2 decimal places.\nAnswer: -2.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 9. Suppose -1 = d + f. Let h(p) = -1 + 4 - 5 + p - 2*p. What is h(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0 + 0)*(-7 - 1 + 3).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1334, 281500, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 3:03 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2 and 21\/32632.\nAnswer: 32632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 1 - (-19 - -26)) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-40)*1278\/71*5\/6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542387702.\nAnswer: 2, 23, 11791037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 830824481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -21. Let r be 2\/(-3)*(30 - 3). Let g = r - -23. Solve -2*o = -f*o - 5*q - g, -4*q - 9 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97.00201 + 97. Round r to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -147*k - 1. Let y(b) = -438*b - 3. Give 11*g(w) - 4*y(w).\nAnswer: 135*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 531457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -36*l + 1. What is the remainder when t(-4) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r - 30*r = -3*o + 8, r - 4*o + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11603.4 and -2?\nAnswer: 23206.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90\/11 - 417\/55. Put d, -7, 2\/3, -1 in descending order.\nAnswer: 2\/3, d, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 70*t**2 + 1654*t - 948. Differentiate r(b) with respect to b.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461576 (base 8) to base 9.\nAnswer: 257655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47005 (base 11) in base 7?\nAnswer: -401630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4953, -5037, -5285, -5697, -6273, -7013, -7917?\nAnswer: -8985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 + m**2 + 3. Let j be s(0). What is the third derivative of -29*t**2 - 61*t**j + 89*t**3 - 82*t**3 wrt t?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -25*a**2 - a**3 - 32*a**2 + 62*a**2 + 3. Let s(p) = 4*p - 7. Let f be s(3). Give h(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112867 is divided by 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 628467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 55*y = 61 + 6. Let m = -5 - -2. Sort y, 0, m in descending order.\nAnswer: 0, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -685722 + 1601683. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-79)\/(-23))\/((-60)\/((-15180)\/11))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.6 - 1971841.\nAnswer: -1971823.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1677 by 129.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (31\/(-5) + 6)*(-64)\/8. Suppose 0 - 12\/5*a**3 - 12\/5*a**2 + q*a - 12\/5*a**5 + 28\/5*a**4 = 0. What is a?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.7027503 to 1 dp.\nAnswer: 29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.4 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 9:16 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 less than -0.149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -20*q - 9. Let u(o) = 60*o + 26. Let f(v) = -8*s(v) - 3*u(v). Let j be f(6). Let p = j + 193. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.82 and -7.9.\nAnswer: -6.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/280 + 319\/110. Solve q - 13 + 5 = -2*a, -t*a + 6 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 - 77*c + 31. Let m be s(-26). Find the third derivative of -4*l**3 - 4*l**3 - 300*l**2 + 524*l**2 - m*l**4 wrt l.\nAnswer: -120*l - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 (base 2) in base 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) 4 (c) 7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1397.\nAnswer: -6\/1397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 7*p + 5. Give n(-8).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 15*i**2 - 12*i - 60. Let k be q(16). Suppose 0 = -3*z - 4 + 1, -5*z - 3633 = -k*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 + 252*x + 4851 = 0. What is x?\nAnswer: -231, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*p + 37 - 2, 5*p = m - 15. Suppose m*c = -4*i + 33, 5*i = -5*c + 7 + 28. What is the second derivative of -s - s - s**5 - s**c wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248568 is divided by 82807?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/37)*n*n*n**(-18)\/n assuming n is positive.\nAnswer: n**(-633\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -371 * 2557\nAnswer: -948647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 667 - 429. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i**2 - 3*i + 4. Let f be -4 - (-1 + 1) - 0. Let r = 6 + f. Let m be 12\/4*(-1 + r). Calculate g(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -1\/39 (c) 2.6 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 100812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 8. Let h = 6082 - 6091. Calculate c(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (5 + (-2 + sqrt(8) - (-1 + 1*sqrt(2))))*1)*-6)**2.\nAnswer: 4536*sqrt(2) + 16524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 0.03. Let t = -5.5 + 5.93. Let u = -0.13 + t. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.36774858 to three dps.\nAnswer: 22.368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 5*k**3 - 2*k**3 + (-1 + 2*k + 1)*(-1 + 1 - 2*k**2) + (-3*k**2 + 0 + 0)*(2*k + 2*k - 5*k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + 4*j**2 + 4*j + (-4*j - j + 3*j)*(5*j - 5*j - j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from opkoizipozpw.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 667861.5 nanometers?\nAnswer: 0.06678615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*k - 22 + 2555*k + 2737*k.\nAnswer: 5439*k - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29d + 1c?\nAnswer: 2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2693 minus 1247.27?\nAnswer: -3940.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 301746853161.\nAnswer: 301746853160.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*r**2 - 46*r**2 + 13*r**2 + 12*r**2 + 100*r + 317*r in the form f*r + g*r**2 + o and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 5. Let k be ((-60)\/(-9))\/(2\/(-6)). Let g be 1484\/84 - 2\/(-6)*-5. Let d = k + g. Let z(j) = -2*j - 6. Determine d*b(a) + 3*z(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3131 by 47973.\nAnswer: 3131\/47973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60731639131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20002110021 (base 3) to base 12\nAnswer: -59467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 21*y**4 - 6*y**3 + 278*y**2 - 5. Let n(g) = -22*g**4 + 8*g**3 - 277*g**2 + 6. Let i(p) = 4*f(p) + 3*n(p). Find the third derivative of i(x) wrt x.\nAnswer: 432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 - -0.7. Let c = -4.1 - -0.1. Sort p, 0.3, c in increasing order.\nAnswer: c, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 67.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81.4258 + -0.0258. Round h to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 20. Let o = -5 - -14. Suppose 0 = c - b*p - 12, c + p = -p - o. Let d(n) = n + 7. Give d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003101942 rounded to six dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/11)\/((-186)\/5146) and -29\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (43 - -1)) + (4320 - 4300).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 4 = 5*a - 4*z, 4*a - 15 = z. Suppose -a*q + 0*q = 10, -3*s = -3*q - 84. What is the remainder when 76 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102.3 at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10021 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.620505 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - 0.02. Let m = j - 0.47. What is the smallest value in m, 0.2, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28308, -56628, -84958, -113298, -141648, -170008, -198378?\n\"Answer: -5*a**2 - 28305*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.91 - 10. Let d = m + -4.41. Let o = 3.5 + d. Which is the closest to o? (a) 3 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -62428?\nAnswer: -35\/31214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 76. Let d(c) = 42*c**2 + c + 25. Is d(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + b + 29, 2*b - 9 = -3*k - 2. Let c(m) = 14*m - 2*m**2 + m**2 + m**3 - k - 16*m + 16. What is the lowest common multiple of c(0) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, f: 7, c: 1, o: 1}. Give prob of sequence oc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + 31644288.8.\nAnswer: 31644280.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 48401*k + 435613. Give s(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 6. What is the units digit of (8\/s + 3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:50 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 99380 (base 11) in base 15?\nAnswer: 2cad4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3363 is divided by 86.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -430303 (base 6) in base 10?\nAnswer: -35103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-903)\/8428)\/(3\/(-2))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-11)*2\/(-4)*133\/(-399)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5677 - -5678. What is the closest to -4 in v, 0.4, 9\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138386, 553533, 1245444, 2214119, 3459558, 4981761, 6780728?\nAnswer: 8856459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n - n + (3*n - n + 0*n - 7*n + 3*n + 2*n + (2*n - 3*n - n)*(-3 - 1 + 3) - 6*n + 4*n + 3*n)*(-3 + 0 - 2) - 2*n - 6*n + n)*(4 - 1 - 2).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*a + 24 = -4*p + 136*a, -5*p - 2*a = 51 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -2. Suppose -2*t - 13 = -3*s + 2*s, -6 = -3*s - 5*t. Which is the nearest to -1? (a) 5 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513630 and 611910.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 26 + 6 - 11400*p.\nAnswer: -11400*p + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*l = 12621 - 15162 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10 - (-3)\/60. Let j = -1 + 2. Let m be 1*(-4)\/12*0. What is the closest to 1 in j, r, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2103 and 7164.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfzhrlz. What is prob of picking 1 f and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, 2\/19, 2\/5, 2\/21411, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*h**2 - 1036*h**2 + 517*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0385 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -130864.\nAnswer: 7\/65432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188\/(-3960)*-2*2\/(-12)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*n + 8 = 131*n - 4*f, 6*n - 2*f = -10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5473767ml to litres.\nAnswer: 0.0005473767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4986 is divided by 89.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7. Let g be (-6)\/(-4)*8\/3. Suppose -4*d = -g*u + 9 + 7, -u - 14 = 5*d. What is the third smallest value in u, 0.2, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720 (base 8) in base 4?\nAnswer: 33100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1278 - 918.1278. Let v = 917.5 + s. Let z = -9 + 5. What is the third smallest value in v, 0.6, z?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/2063965 - 1789440743\/8726444020. Let t be -6*((-700)\/(-1057) + (-6)\/45*5). Let q = t + g. Is 0 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147372*h**4 + 2*h**3 + 1011665*h**2.\nAnswer: -3536928*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/36)\/(((-1157)\/4628)\/((51\/(-12))\/(-1)))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56637 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1646 + 1655. Solve -5*g - 3*y + n = 0, 17*g - 5*y = 19*g - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-5)\/5)*(-1)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (-1 - (10 + 4)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4.5. Let u = -76137\/3064 - 10\/383. Let g = u + 99\/4. Sort 2, g, o in decreasing order.\nAnswer: 2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*i**2 - 70 - 22*i + 70 wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*o**2\/5 + 24*o\/5 + 2\/5.\nAnswer: 2*(o + 1)*(11*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1544372*s**3 - 11*s**2 + 6*s - 302.\nAnswer: -9266232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38, -75, -112, -149, -186, -223?\n\"Answer: -37*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 2\/15 (c) -8 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3708906.44 to the nearest 10000.\nAnswer: -3710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**2\/2 + 4*f + 2. Give p(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/15*27\/36?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/18, 79.6, 3.\nAnswer: -1\/18, 3, 79.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-24)\/228)\/(-2)*1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -0.02, -0.4, 3, -4 in decreasing order.\nAnswer: 3, -0.02, -0.4, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1086402.01 rounded to the nearest one thousand?\nAnswer: -1086000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2230 + -204. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.442, -2\/17 in descending order.\nAnswer: 0.442, -2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 832.1 - 832. What is the closest to m in -1, 1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 39. Let k be t(14). Suppose -2*d + 30 = 4*g, 10 = -k*g + 5*d + 26. What is the greatest common divisor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*y**3 + 78*y**3 - 43*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 25. Calculate the remainder when 15 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 65. Give r(-10).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180.21 + -184.21. Which is the closest to 0.1? (a) 333 (b) 3 (c) z (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.52824476 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 6*m + 5. Let t = -8 - -6. Calculate the lowest common multiple of y(-6) and -3*(t - (-4)\/(-6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 59*f**3 + 0*f**4 - 3*f + 3 - 4*f**4 + f**2 - 3*f**4 + 6*f**4 to z*f + i*f**3 + v + m*f**2 + c*f**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(1 + (0 - (-38)\/(-40)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*l - 15 = -3*t, -19 = -2*t + 5*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3329559969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2\/17 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 - 203313*d\/8 - 203317\/2.\nAnswer: (d - 203317)*(d + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10010000011110100010110 (base 2) to base 15\nAnswer: 637b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-3.2.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001856530057 to 7 decimal places.\nAnswer: 0.0000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 789 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 52 + 4 - -86.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 56*f**3 + 12*f**2 - 5*f + 3. Let z(t) = 57*t**3 + 17*t**2 - 6*t + 4. Calculate -4*u(i) + 3*z(i).\nAnswer: -53*i**3 + 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (2 - (0 - 30520)) - 3. Suppose 0 = -11*w - 1757 + r. Suppose 4*y = 5549 + w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4 + 3*a**2 - 103*a + 246*a - 70*a - 75*a. Determine n(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*f + 2*g, 47*f - 4*g - 1 = 50*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 3:42 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 1, l: 1, b: 1, s: 1}. What is prob of sequence slu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24122.000003304 - -24122. Round v to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-8 + (22451\/(-494))\/(-11)). What is the third biggest value in 5, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3255 - -3257. Put 14, 33, -5, k in ascending order.\nAnswer: -5, k, 14, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*z + 18 = 70*z. Calculate the greatest common factor of z and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 121. Suppose t*h - 55 = -13. Solve 5*y + 5*n + 2 + h = 0, 3*n = 5*y + 37 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*t - 320 = -35*t - 38*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409065668.\nAnswer: 2, 3, 199, 196687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 41. What is the least common multiple of f(-8) and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193255 less than -1?\nAnswer: -193256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 7*a - 4*p + 58, -p + 46 = 3*a. Calculate the greatest common factor of a and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - ((-4 - -20) + -13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(84\/119)\/(-6)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -g - 14, -85 = d - 90. Which is smaller: 1\/12266 or g?\nAnswer: 1\/12266","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvhxm. Give prob of sequence px.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a01cb (base 15) to base 13.\nAnswer: 35434a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(605) - (sqrt(605) + 1*(sqrt(605) + 1 - sqrt(605)))**2) + -1*(sqrt(245) + ((sqrt(245) - (sqrt(245) + -1))**2 - sqrt(245))) + 1.\nAnswer: -1818 - 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.213, -1, 0.01 in increasing order.\nAnswer: -1, 0.01, 0.213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17114.\nAnswer: 2, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.829159 nanometers in millimeters?\nAnswer: 0.000008829159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrv when three letters picked without replacement from ovhvrorovon?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*198*1\/27.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 32. Let v(x) = 2*x**3 - x**2 - 2*x - 3. Let a be v(p). Suppose -d + a = 4*w + d, -w + 5*d = -9. Let y(m) = -m**2 + 10*m - 6. Calculate y(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50936 = -5*w + w. Let c = 420278\/33 - w. What is the common denominator of 32\/9 and c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1.02, 3, -1\/3?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 10:13 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 973024463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 + 30*f**2 - 40*f - 41. Let i be u(8). Solve t = 5*k + 5, -3*k + 22 = -t + i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 20 + 11)*(2*d + 2*d**2 - 2*d + (3*d - d + 0*d)*(-3 + 3 + 2*d)).\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c**2 - 140*c + 109. Does 287 divide p(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c**(-3)\/c))))\/(c*c**(-3\/5)))**(-46)*(c**(-1\/3))**(-4\/19)\/(c**4*(c\/(c**(-3\/4)\/c))\/c) assuming c is positive.\nAnswer: c**(-247699\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7296 + -8041. Sort -3, 2, 5, m.\nAnswer: m, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51064.66 micrometers in kilometers?\nAnswer: 0.00005106466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10047701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443, 452, 479, 530, 611, 728, 887, 1094?\nAnswer: 1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47*0.5.\nAnswer: 23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from ggggwwgbb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 + h**2 + 9*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 + 24435*g + 293528. Give t(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1008)*4 + 0))**2 + (-2 + sqrt(1008) + -2)*-6.\nAnswer: -72*sqrt(7) + 145176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16215720300 rounded to the nearest 1000000?\nAnswer: 16216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*w**3 + j**3 - 4*j*m*w**2 - 4*j + 139*m*w**5 - m wrt w.\nAnswer: -6*j**3 + 8340*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 47 = 2*o, 0 = -4*o + 7*o + 4*w - 98. Calculate the remainder when 155 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 3*b + 12, 4*j + 3*b = 2. Let r be (-1)\/(j - 114\/(-117)). Suppose -r = -i - 2*i. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 7:04 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -136, -55, 26?\n\"Answer: 81*m - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-670)\/4*4\/(-5). Suppose 7*j - 3*j = -3*o - 566, j - 3*o + t = 0. Let y = -35 - j. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (958*x**2 + 78*x + 27*x - 105*x)*(-4 + 4 + 2*x**2).\nAnswer: 1916*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/15, -41, 40, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**2 + i. Let d(n) = -3*n**2 - 22*n - 11. Let z(p) = -p**2 - 8*p - 4. Let v(b) = -4*d(b) + 11*z(b). What is v(t(c))?\nAnswer: 81*c**4 - 18*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -572 (base 10) to base 6.\nAnswer: -2352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {v: 6, w: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-57498)\/147)\/(-37))\/(24\/(-21))?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -94. Let b = 27 - r. Let w = 14 + b. Solve 4*x - i = 6 - 4, 5*i - 14 = -w*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-5)*(55104\/(-504) + 111)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 17 = 3*r + 4*q, 4*r = -2*q - 4. Suppose z + r = -5. List the prime factors of (10\/7)\/(z\/(-42)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*a - 5*a**3 - 7*a)*(11 + 2481*a - 2482*a + 7) in the form i*a**4 + g*a**2 + c*a + s*a**3 + l and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1213594.8 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -376, -901, -1514, -2245, -3124?\n\"Answer: -5*y**3 - 14*y**2 - 448*y + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 38 (b) -0.1 (c) 81619 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 145 = -26*x + 63*x - 31 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -42821 divided by 2\nAnswer: -42821\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 4617.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30383620 rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 55*r - 1. Let w be n(1). Let m = -50 + w. Suppose -5*g = -2*b - g - 10, m*g - 25 = -3*b. Solve 4*c + 8 = -4*i, b*i - 7*i - 3*c - 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 22*c**2 + 5*c**2 + 5*c**2 + 13*c**2.\nAnswer: c**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 + 0)*(39 - 17 - 38 - 2*u).\nAnswer: 6*u + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6599540*w**3 - 10481871*w wrt w?\nAnswer: 39597240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - 1.69. Let i = f - 0.008. What is i rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000436365 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-4 - -6 - -36 - -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2*i)*(0 - 1 - 1) + 6*i - 2*i - 5*i + 17*i - 29*i + 30*i)*(4*i**2 - 2*i**2 + i**2 + 0*i - i**2 + 0*i + (-2*i + 2 - 2)*(4 - 4 - 2*i)).\nAnswer: 126*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.06 (b) 5 (c) -9.01 (d) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**2)\/h*h*h))**(-9\/2))**(-3)*(h**(3\/7)\/(h*h*h**(-1\/4)))\/(h\/(h**0*h))**(-2\/13) assuming h is positive.\nAnswer: h**(341\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -g + 323, -g + 314 = 4*c - 3*g. Calculate the highest common factor of 40 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**2\/2 + 14*p + 6684. Let k(a) = 9*a**2. Give k(h(q)).\nAnswer: 9*q**2 - 252*q + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 2*i. Let d be v(-3). Let g be (8*(-4)\/d)\/((-1)\/(-67500)). Round g to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**2 - g**3 - 94*g + 193*g - 94*g. Give i(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 25789*k + 154717. Give a(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17106 + 43490 = 4*p. Let f = 302863\/20 - p. Calculate the common denominator of f and 61\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-306)\/(-116) - (-45)\/(-18). Is m >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148\/(-28)*(-7)\/(-7)*63\/((-81)\/(-9)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 19 - 2 + 633*s in the form a*s + j and give a.\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 0*n - 2\/5*n**5 + 2 + 1\/3*n**6 + 0*n**2 - 1\/2*n**4 + 2\/3*n**3. Suppose q(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 12*a + 30. Let g be c(9). Suppose 4*p = -g*p + 21. Determine x so that 1\/5*x**4 - 1\/5*x**p - 3\/5*x**2 + 2\/5 + 1\/5*x = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/51 and 83\/68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 430 = -424 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-1071)*(3 - 12)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 48 = -3*z + 6*z, 3*r + 43 = -4*z. Let m be r\/21*(4 + 56\/(-12)). Factor m*d**2 + 6\/7*d - 8\/7.\nAnswer: 2*(d - 1)*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 6*u**2 + 5*u. Let f be n(-5). Suppose 0 = -4*l - 2*a - 2*a + 12, f = -5*l - a + 23. What are the prime factors of (1 - 2)\/(l\/(-340))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*a = -9, 5*y = -5*a - 0*a. Let z(d) = -d**2 - 2*d + 4. Let w be z(-4). Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -2. Let q(t) = 5*t - 3. Let w(v) = -13*v + 7. Let z(i) = 15*q(i) + 6*w(i). Let s be z(f). Sort 0, s, 5.\nAnswer: 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40.36 - -0.64. Let b = -41.0000125 + s. Round b to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8519658ml to litres.\nAnswer: 0.0008519658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 38. Let c = -13 - t. Suppose 8*i - 284 - 236 = c. Calculate the remainder when i is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z - 1. What is the least common multiple of x(1) and 24*50\/195 - 134\/871?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in -3\/4, 0.1, -0.4, -0.97, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 42. Let r = x + 13. What is the tens digit of (4 - r) + 3 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -494*v**5 + 524*v**4 + 8*v**2 - 8900974*v.\nAnswer: -9880*v**3 + 6288*v**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9542208 and 11927760?\nAnswer: 47711040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2583 + 2583.1747. Let s = x - -76.9653. Let p = s + -74. Round p to one dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1173, 0, 3, 1090 in decreasing order.\nAnswer: 1173, 1090, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*u - 102*u = -44568. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.99 - 0.01. Let i = 1.3 + f. Let x(o) = o**3 - 5*o**2 + 6*o - 4. Let v be x(4). Which is the biggest value? (a) i (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faafxmfmxfxff. Give prob of picking 2 x and 1 m.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069713?\nAnswer: 2069713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36327 (base 10) to base 3.\nAnswer: 1211211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*a**3 - 829*a + 417*a + 412*a.\nAnswer: 41*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 560 - 564. Let k(i) = -27*i - 48. Let x be k(c). Calculate the highest common factor of 60 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 8, 4, 25, -4, 1 in descending order.\nAnswer: 25, 8, 4, 2, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 1410.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 3, z: 1, x: 6, a: 1, n: 6}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 2750\/88 + 40\/(-32).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 20 - 28 = 0. Let s = 3 + -8. Let t = s + 6. What is the smallest common multiple of u and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 2*u**2 + 2*u + 1. Let v be i(-1). What is the remainder when 56 is divided by (v\/4)\/(2\/76)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94538*z - 24518*z + 57 + 43053*z - 57 + 15835*z)*(1 - z**2 - 1).\nAnswer: -128908*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*j + 42. Let x(y) = 5*y**3 - 3*y**3 - j - 5*y - 3*y**3 + 8*y**2. What is the units digit of x(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 3\/((-6)\/2). Let w(p) be the second derivative of 2*p**2 + f*p + 1\/6*p**3 + 0. Determine w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -16) + -92 + 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (175 + 41 + 190)*(i + 7*i - 2*i) to the form x*i + d and give x.\nAnswer: 2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -5646126?\nAnswer: -5646123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 10:47 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*c**3*g - 39*c**2*g - 265*g + 3 wrt c?\nAnswer: 15*c**2*g - 78*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, 1.09, 48\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9745623 or 0.1?\nAnswer: -9745623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 15 = r. Let z(x) = x**2 - 6*x + 2. Let s be z(r). What is the remainder when (-26)\/s - (-2)\/(-3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7390 divided by -739.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 64. What is the greatest common factor of 180 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -20.4 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d**3 + 3*d**2 - 3*d + 1. Let v be o(1). Sort -5, v, -4, -2 in decreasing order.\nAnswer: -2, -4, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965319 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1545083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let a(h) = j*h + 4 + h**3 - 3 + 4*h**2 + 5 - 2. Give a(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 v when three letters picked without replacement from {k: 5, n: 5, t: 1, v: 3, l: 4}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -624 = 83*d + 89 - 132 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/692037 and -19\/225.\nAnswer: 17300925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-405)\/981) - 155\/93.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 6*a**2 - a + 2. Let b be y(6). Let f be 80 - (-2 + 3 + b). Let j = 44 + f. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 13*h + 60. Let f be p(-6). Sort 2, -2, f, 1 in decreasing order.\nAnswer: 2, 1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*n**5 + 2*n**2 + 478*n wrt n?\nAnswer: 1500*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -247*k - 12, -2*w - 2*w = -9*k + 5*k - 0*w + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -10. Let o be 15\/1 - (2 - 3). Let q = o + f. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 25*j - 2*n, -13*n = -8*n - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246866 is divided by 2229?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5169*b - 2234 + 2234 + 1973*b.\nAnswer: 7142*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4) + 15 + -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48a (base 11) in base 10?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8122 (b) 225 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhjhffhqhhuj. What is prob of sequence huh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -4.6, -0.07, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -acbe3 (base 16) to base 3.\nAnswer: -1022221120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 3:07 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**5 - 153*z**4 + 318*z**3.\nAnswer: -3*z**3*(z - 2)*(z + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23065002?\nAnswer: 2, 3, 1281389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:02 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q. Let l(j) = 529*j**2 + 531*j**2 + 522*j**2 + 529*j**2 - 2110*j**2 - 98*j. What is l(h(y))?\nAnswer: 25*y**2 - 490*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6900 rounded to the nearest 100?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 173277488 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: Which is the fourth smallest value? (a) 1\/4 (b) -1\/7 (c) -2\/9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 + 12*b**2 + 9*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -93006?\nAnswer: -13\/46503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-960)\/(-18)))\/((-522)\/(-1305)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159603 is divided by 1327.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/9 and 131\/478044.\nAnswer: 478044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9130.4138 + 1.\nAnswer: 9131.4138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 9) in base 4?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by (-46)\/138 - 25\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 1923, 6634, 15935, 31392, 54571?\nAnswer: 87038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -17*t**2 + 9*t - 13. Let a(r) = 8*r**2 - 4*r + 6. What is 13*a(y) + 6*v(y)?\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6782676 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 27 = -3*g - 5*d, -3*d = g + 19. Let o be (-3)\/(-5)*(g - -12). Let v be 4\/16 + 2 + -3. Which is the smallest value? (a) -4 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 10*f**2 + 13*f - 12. Give p(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55260 is divided by 1121.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**2\/2 - 2. What is r(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*w + w - 25, 4*w - 3*r - 13 = 0. Solve 0 = -q + w*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.420361 years?\nAnswer: 0.09420361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -60, -33, -8, 9, 12?\n\"Answer: -s**3 + 8*s**2 + 6*s - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2361375 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 + 9*c**2 + c - 7. Let a be b(4). Let h be 6\/3*105\/(-6). Let v = h - a. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -739\/47, 643, 4?\nAnswer: -739\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 435*y - 456*y + 63. Sort 2, 4, y, -30.\nAnswer: -30, 2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3267 + 7?\nAnswer: -3260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -37. Let h = x - 18.92. Is 2 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*w + 706*w - 46*w)*(7 - 3 - 3)*(w + 5*w - 4*w)*(-4*w + 4*w - 2*w) + (w**2 + 3*w**2 - 2*w**2)*(1 - 1 + 2*w).\nAnswer: -2536*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/20 - 7*o**3\/3 - 27*o**2 + 2*o. Differentiate p(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1255*s + 418*s + 416*s + 420*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiowioywywyyiiw. Give prob of picking 4 i.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6059120*l = -6058843*l - 25484 for l.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*u**2 - 245*u**2 - 230*u**2.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = -5. Let q = r + -6. Put q, 0, -1 in descending order.\nAnswer: 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 + -0.01. Let f = z + -5. Round f to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258852*q + 258857*q = -5*l - 95, 67 = -3*q - l for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9961, -38565, -83979, -144355, -217845, -302601?\n\"Answer: 308*p**3 - 10253*p**2 - p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**3\/3 + 2920*v**2\/3 + 972*v = 0.\nAnswer: -729, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 3, i: 5}. What is prob of picking 2 i and 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 6. Let a(y) = -y + 3. Let f(z) = 5*a(z) - 2*n(z). Let g(q) be the second derivative of 1\/3*q**3 + 0 + 0*q**2 + 36*q. Calculate f(g(m)).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*a**2 + 1355 - 1355 in the form m + u*a + d*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s - 2*s - 4*s + (-2*s - 3*s + 3*s)*(1 + 3 - 2) + (1 - 3 + 5)*(84 - 84 - 14*s).\nAnswer: -47*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*o**3 - 8*o**3 + 3*o**4 + 4*o**2)*(64 - 33 + 77) + 0*o + 0*o - 2*o**4 in the form v + l*o**3 + g*o**4 + d*o + n*o**2 and give n.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61870, 61333, 60806, 60295, 59806, 59345, 58918?\nAnswer: 58531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = -3*w + 2*w, -3*p - 2*w = 4. Suppose -p*z = -z. Suppose 5*j - 4*m - m - 30 = 0, z = 2*m - 10. Solve 1 - j = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33221022 (base 4) to base 15.\nAnswer: -13eb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - q**2 - 2*q**2)*(0*q + 2*q - 3*q)*(-227 + 118 + 106 - 256*q) in the form h + w*q**2 + t*q**3 + k*q + s*q**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u - 12. Let y be c(-4). What is the remainder when ((-1165)\/y)\/(1\/(-4)) - 0 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 4*f**2 - 2472344*f + 2472351*f + 52 to the form z + g*f**2 + n*f and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 2*y - 3. Let g be x(2). Let u = -342 + 271. Let j = -70.7 - u. What is the closest to 0.09 in -4, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2141732 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20508 - -20510. Suppose -4*y + 15 = 2*a - 9, 0 = 4*y - 20. What is p in -a*p**d - 14\/3*p - 4\/3 = 0?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310014 (base 16) in base 2?\nAnswer: -1100010000000000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4441774 is divided by 1464?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a meter in millimeters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -1226*k**3 + 346*k - 49. Differentiate d(x) with respect to x.\nAnswer: -7356*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1658*z**4 + 9503*z**3 + 2316*z**2 - 4951*z wrt z.\nAnswer: -39792*z + 57018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of (-4)\/24 - 55075\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4\/5 - 21*s**3\/5 - 6*s**2\/5 + 24*s.\nAnswer: -3*s*(s - 2)*(s + 4)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhtetttt. What is prob of sequence tt?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruuuuurruuurl. Give prob of picking 3 r.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5642 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + y + 2055 = 0, -42*u - 2*y + 2040 = -40*u. What is the greatest common divisor of u and 250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 26586212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 21 + -1 - (-40 + 40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1347*d + 1350*d + 23 = 4*z, -d - 1 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**6 + 213*p**3 - 1326*p**2.\nAnswer: -120*p**3 + 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 173\/5 + 2\/(-20)*-4. Let d = f - 33. Calculate the greatest common factor of d and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111001000000 (base 2) to base 9\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d**2. Let c(u) = -4*u - 4*u + 0*u + 4*u. Give w(c(g)).\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101\/140 + -1\/35. Let x = 403 + -374.7. Let z = -28.2 + x. Put z, -2, -5, d in decreasing order.\nAnswer: z, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7984?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -62 + (-1 - 2) + 40 + -64 + 27?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.92 and -1145.\nAnswer: 2198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-5)\/(-135))\/(21\/(-27)*1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 192838\/5 - 39097. Let s = -529 - f. What is the third smallest value in 8, 5, s?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - (-336)\/60)\/(2\/(-5)). Which is the smallest value? (a) -3\/8 (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.041208733\nAnswer: -0.082417466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -468, 6, -12, -6.\nAnswer: -468, -12, -6, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3200) + (sqrt(3200) - ((-3 + sqrt(3200))*-2)**2) + -4).\nAnswer: -51360 + 4160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 196.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4290 and 390?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 14*s**2 + 13*s + 12. Let t be d(13). Let a = t + -7. Suppose 5*r = -2*g - g + 25, a*g - r = 23. Which is smaller: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/267050 and -33\/3471650.\nAnswer: 3471650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghnynoff. Give prob of picking 1 f, 1 n, and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*m*m)\/m*m**(-2\/9)*(m*m**(-6))\/(m**(-8\/9)\/m) assuming m is positive.\nAnswer: m**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 24 - (53 - 28 - 49).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135947293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d - 3*v = -2, -5*v = 0. Put d, 1\/7, 0 in descending order.\nAnswer: 1\/7, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 - 66) + 3 + -17 - -67?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -1)**2*-3*5 + 0 + 1.\nAnswer: -7139 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (1 - 4) + 3 + 1810. Suppose -28*c + r = -21*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1130*i*n**2 - 1044*n**2 wrt i.\nAnswer: -1130*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1763862*a*b**3 + a*b - 6*b**5 + 4651134*b wrt b?\nAnswer: -10583172*a*b - 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3 - 6*i + 3 + 2*i - 5*i**2 + 13. Let o = 139 + -138. Let a(z) = z**2 - z. Let h(d) = o*b(d) - 4*a(d). Find the first derivative of h(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j + 13. What are the prime factors of v(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176))**2 + 2 + 4 - sqrt(396)*3*-2.\nAnswer: 36*sqrt(11) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/(-3)*(-297)\/(-36) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*m + x - 3, 3*x + 15 = 2*m. Suppose 3*b - 17 + 5 = m. Suppose 0 = b*t - 55135 + 186335. What is t rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(700))**2 + 1 + (sqrt(42)\/(sqrt(24)\/sqrt(4)) - sqrt(7) - (-1*sqrt(77))\/sqrt(11))).\nAnswer: -4212 - 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 8 = 2*b + 14*f, 3*f - 8 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v\/v**(-2\/17)*v*v*((((v\/((v*v\/((v\/(((v**(-2\/41)*v)\/v)\/v))\/v))\/v)*v)\/v)\/v)\/v)\/v*v*v**(14\/3)*v)**(2\/3) assuming v is positive.\nAnswer: v**(53668\/6273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1417, 4, 3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 101*h**3 - 9*h**2 + 64*h - 2. Is n(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8485 - -14.8485. Let o = 0.06 + 1.94. What is the fourth smallest value in 0.6, -2\/7, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 4*p**2 - p - 2. Let c be g(-4). Let q(d) = -5*d**2 - 5 + 4*d**c + 0*d**2 - d**3 + 5*d + 4*d**2. What is q(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1, -1\/5, 1\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5807\/30 (b) -3\/7 (c) 5 (d) -5 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001821179 to seven decimal places.\nAnswer: -0.0001821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -13 + 2 + 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12981 - 8314. Solve -l = 2*y - 4685 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v + 6. Let r be 8 + (-2 + 0 - 1). Suppose -5*s = -2*f - 22, -8 = s - r*f + 6. Let n be (1 - -4)\/(s\/6). Calculate a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = -k + 29*q - 8, -2*q - 52 = -6*k. Solve -31 + k = -12*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.13867, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4318\/235 (b) 5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 6*p = 10. Suppose -96 = p*r - 7*r. Calculate the greatest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3402*p**3 - 76*p + 228*p - 9 + 161*p**3 - 65*p**3 wrt p.\nAnswer: -19836*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ror when three letters picked without replacement from sosrwnwnwwnrnnsw?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80307, -80033, -79763, -79497, -79235, -78977?\n\"Answer: -2*d**2 + 280*d - 80585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**4\/12 + f**3\/3 + 4*f. Let k be r(2). Let w(s) = -s**2 - 3*s + 5. Let y be w(-4). Sort k, y, -4.\nAnswer: -4, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1157\/(-429) + (-84)\/(-231)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -327, -326, -325, -324, -323, -322?\n\"Answer: k - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 8 - 24. Let m = p - -13. Let w = 10 - m. Solve -2 + 22 = -w*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 3)*(1 - 4 + 7)*(-55 + 4 + 2)*(-1 - v + 1) to the form j + q*v and give q.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566*p - 393688351 + 1878107149 = -1810154002. What is p rounded to the nearest 10000?\nAnswer: -5820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:21 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1961\/((-1)\/(-13)*(-611)\/(-94))?\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 1636 = -29*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, u: 3, a: 1, k: 1, t: 2}. Give prob of picking 1 u and 2 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 5)*(-5)\/(-2). Let u = 13 + k. Suppose -5*t + 133 = u. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.6 and 119497.03125.\nAnswer: 119480.43125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243407581 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.8 + -6. What is k rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*o**5 - 885464*o**4 + 46609448*o**3\/21 + 26892436*o**2\/21 + 2236082*o\/21 + 16876\/7 = 0. What is o?\nAnswer: -4219, -2\/5, -1\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 984306\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1342237, 1342693, 1343149, 1343605?\nAnswer: 1344061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*n + 3, 8*n - 5*n = -4*s - 21. Let l = -1\/11 - 31\/22. Is l less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.15 + 40.75. Which is the closest to 0.2? (a) 1\/4 (b) v (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/472 and -47\/2360?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**5\/120 + b**3 + 18*b. Let v(g) be the second derivative of y(g). Let n(m) = 0 + 0 + 190*m - 187*m. What is n(v(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -1, 5 in descending order.\nAnswer: 5, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113.5 or 75?\nAnswer: -113.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/(3103\/642).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*g + 483 = -759 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 114999.6ml?\nAnswer: 114.9996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 10*j - 14. Let s be f(8). Suppose -90 = -5*g + s*t - 0*t, 2*t - 90 = -5*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 3900.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582422513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316 - 4?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 + -2 + -4 + -9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:56 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 3*q - l, -3*q - 2*l = 0. Suppose 5*j + 5 = q, -8*d - 5*j = -11*d + 4127. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atq when three letters picked without replacement from {q: 1, n: 1, j: 2, t: 2, w: 1, a: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in 2, -93\/5, 0.5, 4, -32\/3, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abababbbabbba. What is prob of sequence aba?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17\/((-3366)\/(-36)))\/((-1)\/(-33)). Suppose x + 2*c = 12, -4*c - 24 = -3*x + x. Solve x = 10*h - m*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 + 13)*(7*t + 27 - 27) in the form r*t + m and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 113*z + 2510. Let y(f) = -49*f - 1255. Determine -3*d(u) - 7*y(u).\nAnswer: 4*u + 1255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.036*-0.05.\nAnswer: -0.0518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + r + 0*r + 0*r. Let f(d) = d + 1. Let n be f(0). Let p(a) = -2*a**2 + 5. Let s(o) = 1. Let m(y) = n*p(y) - 5*s(y). Calculate m(h(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022135567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 32*v + 3. Determine p(-3).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 595 = -3*s - 580, -2*g = -3*s - 30 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 52\/(-80) - (-1)\/(-4). Let m = 7\/30 + d. Which is greater: -24 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62186 and 1984?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0. Let i be (-6)\/(-4)*16\/(-12). What is the nearest to b in -0.4, i, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 27 = 5*l, -2*h + 1 = -3*l - 10. Let r = -7.3 - -7. Put h, 0.3, r, 0 in decreasing order.\nAnswer: 0.3, 0, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12732689 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b - 41*b - 536 - 458 - 211 + 354.\nAnswer: -4*b - 851","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((1 - (-3 + 4) - -85) + (-463 - -461)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*i + 425062, -2*i = -2*l + 234855 + 190209. Suppose 0 = -5*p - l + 1010389. Let u = p + -112571. Round u to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1508 and 9\/32.\nAnswer: 12064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - f + 3, -2*f - 5 = n - 6*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -1. Let p = z - 0.1032. Round p to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1201 - 1166. Put 0, 2, k in decreasing order.\nAnswer: k, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1445?\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 12*c + 10. Let b(x) = x + 50. Let k be b(0). Let l = -48 + k. Let w be g(l). Calculate the highest common factor of w and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*x + t, -3*t = 2*x + 3*x. Suppose 2*z - 125 = -3*h + 801, -3*h - 1419 = -x*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, -18, -14, -3, 3, 5 in ascending order.\nAnswer: -18, -14, -3, 3, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 21100202031?\nAnswer: -21100202031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**1*f*f)\/f*f)**(-5)\/(f**(-4)*f*f\/((f*f**(-1)*f)\/f)*f))\/((f*f*f**(3\/8)*f*f*f*f**(-1\/12))\/((f\/f**(-4))\/(f\/f**(-4\/5)))) assuming f is positive.\nAnswer: f**(-3131\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1854470 is divided by 829?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 20 = -0*i. Let u = 11 - 6. What is the third smallest value in i, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) -0.5 (b) -8 (c) -2\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a decade?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-30)*(-12)\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -33. Suppose 3*h - 5*b = 2*h + 3, h + 6 = -4*b. Let k be 39\/(-30) + (-1)\/h. What is the closest to -1 in y, -3, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.96 - 0.96. What is the smallest value in d, -2\/3, 0.018?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 43. Suppose -60 = 5*r - 380. Suppose -5*o = -r - 36. Calculate the least common multiple of v and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f**3 + 215*f**2 - 214*f**2 + 9*f**3. What is y(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24041 (base 5) to base 3\nAnswer: 2102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2541.76 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55238339 and 988.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/52 and 3 + (275\/40 - -2).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 521 - 540. Let c be 0 - t\/((-95)\/(-400)). Suppose 8 + 72 = 4*u. Calculate the highest common divisor of c and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 5112*j + 97489.\nAnswer: -(j - 5131)*(j + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000037 rounded to seven decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 + -336. Let l be (q\/(-63))\/(1\/(-9)) + 5. Let 0*z**l + 4\/7*z**3 + 0*z + 0 = 0. Calculate z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 664723, 664720, 664715, 664708, 664699, 664688?\n\"Answer: -i**2 + 664724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 212*j + 165*j)*(0*j**2 + 2*j**2 + 0*j**2) in the form v + f*j**3 + a*j**2 + l*j and give f.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 - 8*s**4 + 5*s**4 + 7*s**4 wrt s?\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 1. Let q be v(-1). Suppose -g = 3*f + 8 - q, -5*g = 3*f + 28. What is the third smallest value in -4, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(sqrt(150) + 2*sqrt(150)))\/(-1*-2*sqrt(75)) + 4.\nAnswer: 4 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**2 + 2*a + 3. Let q be o(-1). Calculate the highest common factor of 112 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/2))\/q*q)\/(q*q\/q**(-2\/3)*q))**36 assuming q is positive.\nAnswer: q**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 340\/251 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:31 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 19 = -3*l, -85582*l + 85579*l = 2*x + 23 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/4)\/((3\/(-3))\/32*124\/(-62))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**5\/3 - 11*k**4\/3 - 10*k**3\/3 + 106*k**2\/3 - 133*k\/3 + 49\/3 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*y - 2*w + 10, 194*w = -y + 188*w + 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0 - 3\/140*v**6 + 9\/14*v**3 + 3\/28*v**4 - 2\/35*v**5 - 1\/490*v**7 + 0*v + 3*v**2. Let d(k) = 0. What is k?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2 - -2) + 1 + 3273 + -3274?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 72 = 11*i. What is the greatest common divisor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - (-16 + 1425\/90). Let h(l) be the first derivative of -2*l - 7 + 2\/9*l**3 + b*l**2. Determine r, given that h(r) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 4*r - 3. Let a be j(-5). Let b be 1*a\/(4\/30). Suppose -2*s = 5*p - 15, -5*p + 2*s + b = -s. Solve 3 = -0*o - p*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -634*s - 861*s - 59 - 416*s + 59 to x + n*s and give n.\nAnswer: -1911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + m = 61, -x - 5*m + 61 = -0*x. Suppose 0 = x*s - 66*s - 215. Is s not equal to -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17\/j*j*j**(19\/3)\/j*j*j*(j*j\/j**(-16)*j)**(-7) assuming j is positive.\nAnswer: j**(-326\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.237 from 49.\nAnswer: 56.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*w = s - 21, 2*s + 3*w - 13 = 0. Suppose -59 = 3*b - 6*b - 2*d, -3*b + 115 = -5*d. Solve -b = s*q - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/2124 and 61\/6.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qltb when four letters picked without replacement from brqqlpplbtbqbrqbqqp.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 564, -117, -3 in descending order.\nAnswer: 564, 25, -3, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 63d (base 15) to base 2\nAnswer: 10110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56a - 8?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -316154.\nAnswer: 1\/158077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 4 - (3 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31832.88873 + -31774.71. Let g = 58.51 - z. Let j = g - 0.327. Round j to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzzpz. What is prob of sequence zp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -6*t**3 + t**2\/2 + 2*t. Let k be ((-18)\/21)\/((-1)\/56). Let m(n) = n - 100 + 52 + k. Determine m(s(z)).\nAnswer: -36*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60060)\/(-6188)*(-102)\/9.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*y**2*z - 5*m**3*y - 3*m**2*y*z - 161*y**2*z + y*z + y wrt y.\nAnswer: 4*m**3*z - 322*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9754, -9852, -9950?\n\"Answer: -98*h - 9656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/(-10))\/((-8)\/(-17000))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3924368 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102)\/(-8) + -4 + (-34)\/(-8). Let v(t) be the second derivative of -3*t**4\/4 - t**3\/3 + t. Let f(s) = -4*s**2 - s. Determine q*f(a) - 6*v(a).\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7195?\nAnswer: 5, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) -5 (c) 4 (d) 2\/9 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*d**4\/3 - 4408*d**3\/3 - 4517*d**2 - 2708*d\/3 - 140\/3 = 0.\nAnswer: -7, -5, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -32.99987. What is o rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(20\/15))\/(21\/(-70)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**6\/5 - 5*v**4\/12 + 5*v**2\/2 - v - 2. What is the derivative of f(b) wrt b?\nAnswer: -24*b**3 - 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1472 and 0.36.\nAnswer: 0.052992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 - -1. What is the second smallest value in -4\/5, s, 1\/2, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -102 + 2. Suppose 2*j = -l*j + 28. Solve c - 11 = -4*x, 0 = -2*x + j*c - 6*c + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 20*p + 1380. Let q be s(-68). What is the greatest common factor of 4540 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 10. Let f = 3 + -1. Suppose c = f*b - 5*i, -2*i = -3*b - 0*i + 38. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -2 - 0 - -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124247 or 122482?\nAnswer: 122482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = -65*z + 69*z. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12380? (a) 108 (b) 2\/21 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -7. Let g = -21 + 35. Let a(y) = -n*y - 3*y**2 - 9*y + g*y. Let q(l) = -3*l**2. Calculate a(q(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72711*n**3*p**2 + 245877*n**3*p + 2*n**3 + 1517*n**2*p**2 - n*p - 4*n + p + 14 wrt p?\nAnswer: 145422*n**3 + 3034*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10525310 (base 6) to base 13.\nAnswer: b3ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:51 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3087 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -4, 114\/17, 3, 5, 3\/2 in ascending order.\nAnswer: -4, 3\/5, 3\/2, 3, 5, 114\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 11*i**2 + 6*i + 12. Let g be t(-9). Suppose -4*q + g = 2*f - 3*q, 5*f - 4*q = 1332. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 28*d**2 - 25*d - 18. What is a(-27)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 167*t - 153*t - 2.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1584) - (sqrt(1584) + 0)) + -2)*-4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 685383, 685403, 685437, 685485, 685547, 685623?\nAnswer: 685713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 518340 + -518331. Let m = 15 + -10. Suppose -175 = -m*d + 50. What is the highest common factor of l and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491 = -21*i + 20*i. Is i a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596699746 to the nearest integer?\nAnswer: 24427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1))\/((-11)\/55). Let s = -141 - -149. Let w(f) = 1 - s + 0 + 12 + 3*f. Let i(l) = 2*l + 2. Give m*i(z) - 2*w(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*a - 14 = 0, 2*q + 0*q = 3*a + 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 526448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*g**3 + 26*g**3 + g**4 + 7 - 2976*g + 2974*g as k + w*g**2 + b*g**3 + j*g**4 + p*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t = -766 + 1340 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*1)\/sqrt(11) + sqrt(168)\/(sqrt(7)*2))\/((-2*sqrt(12) - sqrt(12))*-6*-6)*2*-5.\nAnswer: 5*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26030 or -26025?\nAnswer: -26030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 7) to base 4\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.046 + 1.046. What is the fourth biggest value in -1\/4, -1, i, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -3. Let o(h) = -10*h - 74. Let m(n) = 3*n + 23. Let p(q) = -13*m(q) - 4*o(q). Give p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z + 27. Let s(c) = -16195*c**2. Give b(s(g)).\nAnswer: 129560*g**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2 + 28*(-51)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 711 and 292379.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 1097?\nAnswer: 53753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296 + 265 + 274 - 835 - v + 7*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-10))\/((-36)\/30)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/2 - 661*l**4 + 439525*l**3\/2 - 850126*l**2 - 6058846*l - 6948496 = 0. What is l?\nAnswer: -2, 8, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-396)\/(-18))\/748)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 - 1 + 40*j + 2 - 40*j to h + v*j**2 + y*j and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 2*c**2 - 2*c + 3. Determine t(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 7*u**2 - 16*u + 5. Let x(q) = 4*q**3 - 13*q**2 + 32*q - 9. Suppose 5*w + 0*w = -35. Let c(y) = w*i(y) - 3*x(y). Let c(z) = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 18. Let g be (24\/(-15))\/(442\/(-195) - -2). Determine n(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154243 - -53830809\/349. Suppose -5*l - 19 = k, -3*l - 21 = -5*k + l. Is k > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2228948 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 90 = -5*b, -g = -0*b + 2*b - 36. Let k = -14 + b. Sort -4, k, -3 in descending order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18742, 37551, 56360, 75169?\nAnswer: 93978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 174291 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.098 - -0.798. Let t = -0.19 - -0.09. Let h = -3.94 - 0.06. What is the third smallest value in t, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138*16\/240*(-70)\/28.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by -8*((-2)\/(-2) - 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o. What is the smallest value in o, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10100011?\nAnswer: 10011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1101 - -1096.21. Is d at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:58 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005895355319 rounded to 7 dps?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 356573109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:12 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20748 and 36855?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-5) + 6\/(-15). Suppose -46*w + 728 = 136*w. Solve 6*c + w = -a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8925\/(-6375) + -2*31\/(-30). What is the closest to u in -2, -0.3, 0.98, 5?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 + 135*u - 120 + (-2 + u + 2)*(0 - 2 + 3))*(4 - 3 + 2)*(0 + 4 + 4).\nAnswer: 3264*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -26. Suppose 5*r = -l*r + 8. Let c = -3 + 6. Sort 27, c, -5, r in decreasing order.\nAnswer: 27, c, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 16 + 6*o)*(5 - 2 - 5) - o + 5 - 5 + (0*o + 2*o - o)*(-2 + 5 - 2) as n + p*o and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1, 1\/3, 1\/5, 53\/14, -1\/7, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + -64*(-5)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 2. Let j be p(2). Find the second derivative of j*t - 2*t**3 + 0*t**3 - t**3 + 0*t**3 wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.579734 - 0.58. Round v to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3136590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y - 13. Let k be s(7). Solve 5 = -3*r + 4*u + k, 3*u = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229.778 + 0.89\nAnswer: 230.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -5614?\nAnswer: -5620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**24))\/(k\/(k\/(k*(k*k**(-2\/13))\/k*k))) assuming k is positive.\nAnswer: k**(288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(6\/8)*(-28)\/224. Let 0 - 9\/2*j + r*j**3 + 4*j**2 = 0. What is j?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 887310 divided by 42.\nAnswer: 147885\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (-17 - (8 - 10 - 33))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 + 12*k**2 + 114*k\/5 + 56\/5.\nAnswer: 2*(k + 1)**2*(k + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*k + 1756 = -474 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 61 = -5*y, 284*p - 51 = -5*y + 287*p for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**2\/5 + 10524*c\/5 + 929016 = 0.\nAnswer: -2070, -561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1 + (10 - -76) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247052 - -320397. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 17084754.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/7, 0.046, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -49. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3 + 122*y**2 + 230*y - 354 = 0. Calculate y.\nAnswer: -59, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 9*r**2 + 10*r. Let l be h(10). Suppose 2*f = -l*f. Solve -a - a - 10 = f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2310 and 1110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 9:01 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 16) in base 11?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0, -14926\/7.\nAnswer: -14926\/7, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -461\/3 - -155. Determine s, given that 1\/3*s + x*s**2 + 0 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6590 and 1.181?\nAnswer: 7782.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 162, 4\/5, -0.4, -648\/7 in increasing order.\nAnswer: -648\/7, -0.4, 4\/5, 2, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 0 in decreasing order.\nAnswer: 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895*i + 203*i - 11532 = -27622 - 22340 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 50 + 56 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 6*w - 8. Let j(q) = q**3 + 2*q**2 - 5*q - 2. Let k be j(-3). Let p be u(k). Let c = 167 - 167. Solve r + 3 = p, r + c*r = -4*t - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -3\/5 (c) -16 (d) -315\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 6. Is 11 a factor of l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128000\/(-352))\/125 + (2 - 4 - -5).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9063444 and 1209.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -855 (base 12) in base 5?\nAnswer: -14332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 243\/(-12))\/(14\/392). Let v = -153 + p. List the prime factors of v.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/4))**(-2\/39)*((o*o**15)\/o)\/((o**(-10)\/o*o)\/o) assuming o is positive.\nAnswer: o**(673\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8772\/33 + 6*1\/33. What are the prime factors of 63\/(-105) - n\/(-10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 599741*i*l - 2790333*i - 2*l wrt l.\nAnswer: 599741*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 32*j = 29*j - 18, -4*n = -10*j - 78 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-1*4) + 49651\/6055. Let -4\/5*i - 2\/5*i**3 + 0 + b*i**2 = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -10. Suppose 2*z - 14 = 2*y, -4*y - m = 5*z - 9. Determine o, given that 4\/5*o - 4\/5*o**3 - 2\/5*o**z + 2\/5 + 0*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18) + sqrt(72) + sqrt(18))*3)\/(sqrt(14)\/sqrt(63)))\/(((2*sqrt(270) + sqrt(270))\/sqrt(10))\/(3*sqrt(36))).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000010010111 - 110111?\nAnswer: 100000001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1630234*r - 238 = 1630220*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*q + 4, -2*q + 0*q - 8 = -4*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35008 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4, 5*a + 10*c - 5*c = 110. Let l be (3 + -9)*(-2)\/a. Which is bigger: 2\/17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 828 and 9315.\nAnswer: 37260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:17 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 33*y**3 - 148*y**2 - 228*y - 112.\nAnswer: -(y + 1)*(y + 2)**2*(y + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 21*s + 162.\nAnswer: -(s - 27)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 - t**2 - 1. Let j be q(2). Let w = -623 + 348. Let r = 427 + w. What is the greatest common divisor of r and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.667743mm in micrometers?\nAnswer: 3667.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 <= 34\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = -3*p + 1, g + p = 7. Suppose -g*c + 3*c = -6. Let w be c\/(-3) - 69\/(-9). What is the greatest common divisor of w and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 * -1\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 74.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 3. Let n be o*(8\/(-3) - -3). Suppose -2*k + n*f + 54 = -0*k, 0 = 4*k + 2*f - 108. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52493, 101887, 151295, 200723, 250177, 299663, 349187?\n\"Answer: w**3 + w**2 + 49384*w + 3107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8 = 5*n - 27, -y = 5*n - 15. Suppose -4*p + 8 + 8 = 0. Solve 29 = -s + 5*m, -p*s - 41 = -m - n*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 6*u + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, h: 5, s: 1, r: 2, b: 4}. What is prob of sequence sw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**25)\/d*d*d**13*d*d assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 34 + 5 = -31*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 5*o + 17*o**2 + 9*o.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, t: 1, s: 2, o: 1, j: 1}. Give prob of sequence jsw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056 times 0.4467347?\nAnswer: 0.0250171432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4 = -3*z, 3*i - 11104 = 4*z - 11116 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 6*g + 6 = 2*k, -2*k + 2*g + 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - 2\/(-6). Let m = v - -1. Let f be -8*(7\/2)\/(-7). Sort f, m, -2.\nAnswer: -2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13676*m + 13667*m + 18. Solve 12 = -m*p - 4*z + 2*z, 3*z - 6 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2 = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (-8 + 0 + 1)) + 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14700882 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6403*l + 108937. Determine b(17).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + s**4 + 2*s**2)*(-5 - 2*s + 5)*(-2 + 2 + 1)*(-6 - 3 + 3).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 461 (base 12) to base 11\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = v - 2*s + 2, -5*s = v - 3. Suppose -11*w + v*w = -42. Calculate the remainder when (-10 - -16)\/(4\/w) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**1)\/u)*u**4*u)\/(u**(4\/7)\/(u**(-6)\/u)))**(-39) assuming u is positive.\nAnswer: u**(702\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*g**3 - 48*g**3 + 94*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 89 - 75. Let l = m - -35. List the prime factors of 2 + l - (-42)\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3535*f**3 - f**2 + f + 1. Let c be a(-1). Suppose -365 = -7*p + c. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101544*b**3*q**2 + 1557*b**2*q + 17*q**2 wrt b?\nAnswer: -609264*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/(d*(d\/((d\/d**(2\/21))\/d))\/d)*d**(-5)*(d**(-1\/8)*d*d)\/d)**(5\/3))**(-20) assuming d is positive.\nAnswer: d**(13525\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 7. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) 1\/2 (c) -137 (d) -1\/23 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/20 + (-3519)\/690 + 13972\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 1\/2*s**2 - 2*s - s**3 + 7. Let o(i) = -10*i**2 + 3*i - 7. What is 2*o(x) - 7*y(x)?\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000110101 (base 2) in base 13?\nAnswer: c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - g - 187 = 0, 2*g = -5*l - 0*g - 230. Let i = l - -51. Let p be (i\/(-18))\/(2\/(-9 + -3)). Let a(u) = 8*u**3 + u - 1. Calculate a(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 88*v**2 + 59*v**2 - v**2 + 24*v**2 - 5.\nAnswer: -4*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 55924.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 1:21 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 298.95 from 0.1.\nAnswer: -298.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, and 1 v when three letters picked without replacement from hvhhlrl?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-34)\/(-51)*(-234)\/(-16) and -73\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from adwmwa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -1, 1285, 13 in ascending order.\nAnswer: -1, 13, 53, 1285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, -0.1, -99, -2.1, 5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -149*r + 2372. What is m(13)?\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:54 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-21))**(-23)\/(g**(-41)\/g**(-24\/5)) assuming g is positive.\nAnswer: g**(2596\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -457 + 461, -3*v + 16 = -4*g. Factor -2*b + 10*b**2 + v - 9\/2*b**3.\nAnswer: -b*(b - 2)*(9*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.1, -0.3, 85, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2426322.\nAnswer: 2, 3, 404387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**3 + 2*l**2 + 3 - 7*l**3 + 21*l**3 to the form u + b*l**3 + c*l + t*l**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 462738*b**3 + 401462*b**2?\nAnswer: 2776428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h + 1. Suppose 0 = 2*b + 1 - 5. Suppose -3*l + 4*f + b = 5*f, -1 = 3*l + 4*f. Let d(k) = -k + 1. Calculate l*y(c) - d(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 4761245.\nAnswer: -19044980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let p(n) = -5*n + 10. Let f be p(3). What is the nearest to w in f, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1263 and -81.335014.\nAnswer: -1344.335014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 1413084 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2355 and 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1322 + 7732 = -461*k - 2810 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*x = 5, 5*x - 3 = 4*k + 6. Let w be 15\/(-10)*(k + -19). Let h = -27 + w. Solve -6*z + 5*z = -h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4508 - -4512. Solve 0 = 18*h - 68 - i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 4:56 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/1657 - 3317\/4971. Which is the closest to 0.1? (a) 0 (b) w (c) -3 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*(sqrt(84)*2 - sqrt(84)) + sqrt(84))*-6)\/((-1*sqrt(120)*-6)\/(sqrt(10)*2*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 17*r**3 - 5*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -43 + 42 - (-1 - (-22)\/(-2)). What is the second smallest value in 3, -2\/25, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -251 - -252. Which is the closest to d? (a) 2\/5 (b) -1 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 18.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 11:48 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qsqirrwsirwrsqqrsi?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/3, 3, 0, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/2)\/(-3) - -4. Suppose 0*f - f = 1, -105 = -n*j + 5*f. Solve -7*k = -2*k - j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 4, 229, -2\/29, -0.4, -2\/3, -133?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/22050 and 95\/21168.\nAnswer: 529200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 209*f - 14. Let w be l(3). Suppose 4*k - w = g, -3*k - 3*g - g = -455. Let r = 77 - 51. Calculate the remainder when k is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/474560 + 6602078753\/5220160. Let m = v - 1261. What is the common denominator of -47\/4 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o)\/o*o**(-3\/8)*o)\/(o**(1\/3)\/o)**(-22) assuming o is positive.\nAnswer: o**(-361\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3304741, -3304651, -3304561, -3304471, -3304381, -3304291?\n\"Answer: 90*w - 3304831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 1699, 3372, 5675, 8668, 12411, 16964?\nAnswer: 22387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6772569 divided by -2721\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15569 in 0.1, -6, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(5) + -2 + sqrt(5))**2 + 5.\nAnswer: -28*sqrt(5) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21464 and 893.4?\nAnswer: -19175937.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8097, 11022, 13947, 16872?\nAnswer: 19797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.03, -10372\/135.\nAnswer: -10372\/135, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1539) + 2 + sqrt(1539)) - sqrt(1539) - sqrt(1539))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 44*c**2 + 43*c + 62. Calculate g(45).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829548 is divided by 2236.\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57091, -114198, -171333, -228496, -285687, -342906?\nAnswer: -400153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 23*t - 211. Is w(-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -14823086.\nAnswer: -14823078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1749*w**2 - 204.\nAnswer: -3498*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409454?\nAnswer: 2, 3, 43, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 11*y + 2921796 = 35*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Let g = 59 + -50. Suppose 39*n = 36*n + g. Give f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -3*x**6\/40 + x**5\/10 + 28*x**2. Factor k(j).\nAnswer: -3*j**2*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5696 and 76952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4*y + 3. Let d be v(5). Let z = -3 + d. Suppose 0 = -2*q + 6, -i - i + z*q = 13. Calculate the least common multiple of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*s + 2, -875*s - 2 = -876*s + 2*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/653 and -49\/3.\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(80) + 5 + -2 + (-1*sqrt(5)*6 - sqrt(5)))**2.\nAnswer: -81*sqrt(5)\/2 + 3789\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -31. Let y = 15 - x. Suppose -v = -5*t + 18, y*v - 2*v - 12 = -2*t. Solve -t*f = f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 7:43 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4\/10)*2950\/11505?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 18*d + 2. Let n(z) = 2*z**3 + 3*z**2 - 2*z - 6. Let v be n(2). Let b be r(v). Solve -2*j = -b*h - 4, -3*j - 24 = 3*h - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912 greater than -111114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 31 = 3*i - 0*d, -4*i - 4*d = 20. Let q(s) be the third derivative of -s**5\/60 - 3*s**4\/8 - 4*s**3\/3 - s**2. Calculate q(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let x(s) = -13*s + 81. Let y(w) = -2*i(w) + x(w). Let d be y(7). Solve d*v + 13 = 29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320877 is divided by 53477?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 - 147 = -5*k. Calculate the lowest common multiple of 18 and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k. Let p be (-20)\/(-7) - 2\/(-14). Let d(s) be the second derivative of -s - 1\/3*s**p + 0 + 0*s**2. What is d(r(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -7*u**5\/20 - 17*u**3\/6 + 7*u**2. Let p(r) = -7*r**2 - 6. Let w(x) = 6*j(x) - 17*p(x). Let z(t) = t - 2*t - t. Give w(z(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.68932 hours to milliseconds.\nAnswer: 6081552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 8*m + 5. Let v = 34 + -3. Calculate the remainder when v is divided by f(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ujujddjjdjdjjduu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*y = -5, 6*y - 2*y + 16 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.598 + 3.598. Let w be 10\/12*6\/(-20). Let r = w + 11\/28. What is the second biggest value in 3, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -931432.7 (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2989*j = 2984*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 686624, 1373242, 2059854, 2746460, 3433060, 4119654?\n\"Answer: -3*y**2 + 686627*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -134.57010391 - -75.94460874. Let d = x - -8.62549845. Let n = 50 + d. Round n to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 3:50 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 + 21*p + 48. What is f(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/23920 and -43\/920.\nAnswer: 23920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -277101 divided by 322?\nAnswer: -277101\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/5 (b) -35.4 (c) 8 (d) -2\/1149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989207 is divided by 155.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (5 + -6 + 2 + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**2 + k - 15*k**2 + 9*k**2 - 5*k**3 to j*k**2 + c*k**3 + b*k + o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4 - 2. Suppose -2*z - 22 = -2*y, v*y - 4*z - 18 = -0*y. What is the greatest common factor of y and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18 + -4 + 1\/1. Suppose -209*y = 27*y - 5083 - 5537. Calculate the greatest common divisor of d and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**2 + 3*d + 3. Let z(f) = 64*f**2 + 20*f + 20. What is -20*n(u) + 3*z(u)?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**3)\/w)\/w)**(-6\/13)*(w\/(w*(w\/w**(7\/3))\/w))\/(w*w**(10\/13)*w) assuming w is positive.\nAnswer: w**(-53\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 111. Let y = 39 - r. What is the third smallest value in 0.5, 8\/3, y?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b + 2*b**5)*((3 + 0 + 0)*(-1 + 3 + 0) + 1 - 1 + 1) - 9*b**5 + 15*b**5 - 2*b**5.\nAnswer: 18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + l + 3. Calculate v(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*n + 29 = -23, 4*u + 5*n + 71 = 0. Which is the second smallest value? (a) -0.5 (b) 3 (c) -3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 6*n + 9. What is the remainder when 2 is divided by a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.2771 minutes?\nAnswer: 316.626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 19 = 3*g, t - 3*g = 10 + 6. Let s be (t - 430007)\/(-2 - -1). What is s rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 22*m - 265. Calculate q(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -143, -207, -271?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2462289.\nAnswer: 3, 820763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**12)\/z**(3\/10))**15\/(z**(-2)*z**(-4)*(z*z**3)\/z*z**(-3)\/z) assuming z is positive.\nAnswer: z**(-295\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3010 = 14*r - 9*r, 0 = 2*n - r + 2009. Let s = 1021 + n. Solve s = 24*z - 20*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 1. Let w = -53\/24 + 11\/8. What is the second biggest value in w, 3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157727069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k + 4*o - 41, 2*k - 44*o - 15 = -39*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4223 + 4202. Which is smaller: q or 7.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77900175620 minus -613?\nAnswer: 77900176233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5207718 by 6.\nAnswer: -867953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110960 times 0.041?\nAnswer: 4549.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5199833994.\nAnswer: 2, 3, 866638999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 612\/10*(-4 - (5 - 4)). Let p = -304 - u. Solve p*w = 8 - 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 - 27. Let k(v) = v**2 - 4. Let z = 16 - 20. Let b = 8 + z. Calculate b*l(t) - 27*k(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 + 164. Let y(d) = -d. Let u be y(-2). Solve 5*j = v + 20, v + o = -0*j + u*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**6\/6 - w**3\/6 - 5*w - 4. Let a(s) be the first derivative of f(s). Find the second derivative of a(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**4 - 73*k**3 + 74*k**2 + 16*k. Let x(s) = -17*s**4 + 145*s**3 - 149*s**2 - 34*s. Let c(w) = -7*q(w) - 4*x(w). What is a in c(a) = 0?\nAnswer: -1\/4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 11*k**2 + 7*k - 22. Let q be y(-10). Suppose -q*o - 1 = -17. Find the first derivative of 5*t**2 - t**2 + 712 - 716 + 3*t**o wrt t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-441)\/(-98)*2\/(-21)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m + 1992 = 18*m - 93*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) - 4\/6. Let j = n - -2. Suppose 0 = 3*i - 2*l - 21, -i + 4*l = -j*i + 7. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/5)\/(111\/74)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, k: 2, z: 2, u: 3, q: 3}. What is prob of picking 1 r and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h**2 + 2*h - 1. Let g(s) = -4*s - 3. Let z be g(-1). Let v be (30\/2)\/(-3) - z. Is b(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 72\/(-48)*(-3)\/(1*-27). Let r = 17 - 57. Let n be (-4)\/r*(-4 - -2). Sort n, 13, w, 2\/15 in descending order.\nAnswer: 13, 2\/15, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 124472*s\/7 + 5106714\/7.\nAnswer: -2*(s - 41)*(s + 62277)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(-4*-6*(0 + sqrt(684)) - ((sqrt(684) + 1 - sqrt(684))*4 - (5 + 1 + sqrt(684)))))**2.\nAnswer: 540000*sqrt(19) + 384753600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-98)\/6)\/(-1) - (-84)\/(-63). Suppose c = 3*s + 6*y - 5*y, 3*s - 5*y = -3. Solve 0 = 3*a + s*l, -4*a = -l + 2*l + 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.454 + -0.5. Let q = s - 0.022. Let f = -0.067912 - q. What is f rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -7762, 74 in increasing order.\nAnswer: -7762, 1, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090449*v - 4 = -1090448*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8.5. Let h = 1 + -1. Suppose -3*o = 4 - 1. Which is the closest to o? (a) w (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z - 1. Let g(m) = -10*m - 1. What is 5*g(d) - 6*u(d)?\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 750 + -119. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 12500*j**2 - 12500*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/3 + ((-3)\/9)\/((-3)\/9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 3*g + 3*g + (1 + 0 + 1)*(2*g**2 + 0*g + 0*g) - g**2 - g**2 + 4*g**2)*(2*g + g - 4*g).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 10*p**2 + 3. Suppose -5*n = 3*z + 54, 0 = 4*n - 4 - 8. Let f = z - -13. Let q be r(f). What is the nearest to -2\/5 in q, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*u + u + u. Suppose 0*v - 13*v + 559 = u. Calculate the highest common factor of v and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtv when three letters picked without replacement from ivvitiiv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - r - 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 166960 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 504430546027484?\nAnswer: 504430546027484.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -275596 (base 10) to base 4.\nAnswer: -1003102030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 9*y + 2. Let d be f(-9). Suppose -31*s + 30*s = -d. Factor -1\/4*p**s + 0*p + 0 + 3\/8*p**3 - 1\/8*p**4.\nAnswer: -p**2*(p - 2)*(p - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/3)*o)\/o)**(2\/107))**(-47) assuming o is positive.\nAnswer: o**(-188\/321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*7 - 20\/4. Let t be 9\/((-9)\/4) + i\/1. Is 1 + 0 - -25 - (34 + t) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*l + 3*h, -11*h = 5*l - 14*h - 35. Let r = l + 170. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/((w**(-13\/3)\/w)\/w)*w))\/w)\/((w*(w*w\/(w*w**(-4\/7)))\/w)\/w)*w**(-1\/9)\/(w**(3\/7)*w))**18 assuming w is positive.\nAnswer: w**(-188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18\/(-171) + (-1068)\/(-38) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 60 = -16. Which is greater: x or 19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -34*(-3 + 0 + -8)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5098*d + 11 + 11 - 5095*d.\nAnswer: 3*d + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32788228, -65576476, -98364758, -131153092, -163941496, -196729988, -229518586, -262307308?\nAnswer: -295096172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + n. Suppose 7*j - 1186 + 1228 = 0. Let t(u) = -5*u**2 + 4*u + 1. Let r = 3 + -2. Give j*k(a) + r*t(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 2499.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 58 + 68 = 0. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-97)*97)\/(-6*(-11)\/(-32))\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -65.7. Let c = -5.3 - k. Sort c, 4, 3 in descending order.\nAnswer: c, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k**2 - 106*k - 225 = 0. Calculate k.\nAnswer: -9, -25\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - -1*3*sqrt(143)) + sqrt(143) - sqrt(143))\/(sqrt(55)\/sqrt(5)*2))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h = 340 - 255 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 723370 or 723519?\nAnswer: 723370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 692 - 338. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.027?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiqiiiiw. What is prob of picking 1 w, 1 i, and 1 q?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*p + 33 = 0, -8*o + p = -4*o - 48. Suppose -4*x - 9*b + 5*b + 12 = 0, -o = x + 5*b. Solve x = c + 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.97263 and -282.\nAnswer: 556.28166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 5*v**7\/42 - 7*v**6\/15 - v**3\/3 - 443*v**2\/2 - 7*v + 12. Find the second derivative of g(d) wrt d.\nAnswer: 100*d**3 - 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.7 + -11.2. Which is the second biggest value? (a) 1 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 352.07 and 0.5?\nAnswer: 176.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984235833?\nAnswer: 2984235833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**2 - 96*m + 40 = 0.\nAnswer: -10, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Let m(l) be the second derivative of 0*l**2 + 0 - 1\/3*l**3 - l. Give u(m(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12112000001 (base 3) to base 15.\nAnswer: 222b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103946611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.28 - -0.18. Let b = 0.04 - -0.02. Let k = b + -0.46. Sort 3, l, k in decreasing order.\nAnswer: 3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1062224 and 1261588?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (295813601 - 295813601 + 42690*x)*(-2*x**2 - 2 + 2) to o*x + y*x**3 + p + i*x**2 and give y.\nAnswer: -85380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*3*(4 + -7). Suppose 0 = -h + j - 0. Solve 5*y - 5*k = 6*y - 23, 0 = -y + 3*k - h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = p + g + 1, -5*p + 2*g = -20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38.316? (a) 2\/3 (b) -2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -18. Suppose -4*j + 20 = r, 264 = 4*w - 3*j - 301. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 52, 3\/4, 1, 12, 2 in ascending order.\nAnswer: 0, 3\/4, 1, 2, 12, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 5:08 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*y - 26*y**3 - 2564*y**2 + 2564*y**2 wrt y.\nAnswer: -156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*(a*a**0)\/a))**(-40)*a**2*a*a**6 assuming a is positive.\nAnswer: a**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013668972 to five dps.\nAnswer: 0.01367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by 9.\nAnswer: -103\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1780324 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443, -478, -537, -620, -727?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/42 + 2\/(-12). Let r be 42\/(-56)*(-8)\/21. Solve -4\/7*u + r*u**2 + z = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 r when four letters picked without replacement from irirrririiiiiirriii?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 2 = -29*k. Solve q = k*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 0*k + 0*k)*(-3*k + 2*k - 1 + 0*k) + 0*k**2 - 34*k**2 + k**2 + (-3*k**2 + 4*k**2 - 4*k**2)*(13 - 3 - 4) to the form u*k**2 + n*k + x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -347 + 359. Solve -3*y + w = -n + 2*y, n = -2*y + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-77) + (-2469)\/(-33). Suppose s = -0*j + 5*j. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1154655 in decreasing order.\nAnswer: 4, 1, -1154655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9b4 (base 16) to base 5\nAnswer: -34414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -80383.4 rounded to the nearest one hundred?\nAnswer: -80400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/8 - 1677*k**3\/8 + 351939*k**2\/4 - 157963*k\/2 - 3686781 = 0?\nAnswer: -6, 7, 838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j - 62. Give y(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5333056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**3 - 112*x**2 - 116*x = 0.\nAnswer: -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -258616?\nAnswer: 3\/258616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 4\/5*p**5 - 69 + 6*p**4 - 4\/3*p**3 + 0*p - 12*p**2. Determine b so that x(b) = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 33, 5, -2.\nAnswer: -2, 3, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11335.7ml?\nAnswer: 11.3357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 52*o - 147. Let k be y(30). Solve -2 = -94*f + k*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 888569.9 decades?\nAnswer: 88856.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 5 (c) 1\/107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414739, 1658901, 3732513, 6635575, 10368087, 14930049, 20321461?\nAnswer: 26542323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -10 - -6) + -14 + -7 - 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3 + 2. Let h(c) = 24 - 9 - 17 - 4*c. Let u(q) = -3*q - 2. Determine z*u(n) - 4*h(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 295, 694, 1253, 1972, 2851?\nAnswer: 3890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356932368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5380 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30406 + 1276945\/42. What is the common denominator of -73\/28 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*a*l**2*y - a*y + 40538*a + 2*l**2*y + l*y + 629469*l - 2*y wrt a?\nAnswer: -12*l**2*y - y + 40538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w - 11. Let o(i) = -3*i + 7. Let p(v) = 8*o(v) + 5*u(v). Let x = -20 - -20. Suppose x = -4*a + 6*a. What is p(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 2*y**2 - 7*y + 5. What is the units digit of i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 5537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*h + 124*h + 14006606 = -2*x, 5*x = -4*h - 35016512. Round x to the nearest one hundred thousand.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88937 times 0.5\nAnswer: -44468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531 = -15*w - 156. Let p(u) = 69*u - 24*u - w*u - 19*u. Let a(v) = 75*v**2. Determine a(p(t)).\nAnswer: 75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 331 (base 6) to base 15\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212011 + -110?\nAnswer: 211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -105\/8 greater than 2\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 6:09 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.6 + -26.7.\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 5:58 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n + 13. Let q(j) = -1 + 15*j - 9*j - j**2 - 7*j. Let a(m) = -2*q(m) - y(m). Let w be a(-7). Calculate the highest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*j + 11 = 0, 0 = -5*x - j + 5 + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 483650, 967929, 1452208, 1936487?\n\"Answer: 484279*m - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + 15 - 18) + 1 + (-7 - -11).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + o + 76. Let b be f(-7). What is the greatest common factor of b and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -68, -1971, -415?\nAnswer: -1971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 18 = 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 32.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38800519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -14. Suppose -w*g = g - 4. Solve v + 0*v = -g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - a2?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:05 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*p**2 - 313612*p + 313612*p.\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 2*v + 2*v)*(-1 - 5 + 1)*(-2 - 2 + 5 + (32 - 61 - 33)*(2 + 0 + 0)*(12 - 21 - 19)*(2 - 3 + 3)) to r + h*v and give h.\nAnswer: -69450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 188*n**2 + 398*n - 1346. What is s(96)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272438206.\nAnswer: 2, 136219103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**5\/60 + 5*p**4\/12 + 2*p**3\/3 - 3*p**2. Let k be d(10). Factor -8*y**2 + k*y**2 + 9*y**3 - 7*y**3 + 2*y.\nAnswer: 2*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 6:09 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12671679 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.3 + 3.4. Which is smaller: 13\/4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37191655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*b - 104, 2*b - 53 = m - 157. Let i be b*(0 + 0 - 60\/15). Suppose 0 = -2*h - i + 1042. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*z + 34 = 0, 3*z + 48 + 29 = 5*y. Calculate the highest common divisor of 65 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvv when three letters picked without replacement from vvzv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -4. Suppose u = 4*y - 3*y. Let d be (-4)\/y - (-4)\/14. Solve d = l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:18 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45336, -181809, -409294, -727791, -1137300?\nAnswer: -1637821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (441\/42)\/(2\/96). What is m rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/52 + 3\/4)*3296\/(-1854).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/14*(-2 + 12 + -3). Let u be (-2)\/3*j\/8*0. Suppose -2*i = -u*i - 426. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2*k - 1736*h*k**3 - 4*k**3 - 6*k**2 + 2*k wrt h?\nAnswer: 2*h*k - 1736*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -0.2, -21, 3\/14, 6015\/4, -1\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/35)\/(5\/(-70)). Suppose n = 5*v + 4, 5*n + 0*n + j*v = 20. Determine q so that 16\/7*q**3 + 0 + 0*q + 16\/7*q**2 + 4\/7*q**n = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) 1\/23 (c) -93 (d) 0.8 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 811.1874 litres in millilitres?\nAnswer: 811187.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 - 5587*w**2\/2 - 1639395*w\/2 - 123622929\/2.\nAnswer: -(w + 153)**2*(w + 5281)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120030303 (base 4) in base 9?\nAnswer: 160866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Let o(g) = 8*g. What is the units digit of o(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17e + c22?\nAnswer: a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -10. Let u(a) = -a**3 - 5*a**2 - 2*a - 5. Determine u(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*n**2 + 156*a*n + 8*n**3 wrt n.\nAnswer: -4*a + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 5) to base 6\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -d79d94 (base 15) to base 11\nAnswer: -5878290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78742983 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:24 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 112 = u. Suppose -2*v - 4*f = -u, 0 = 5*v + f - 5*f. Suppose 3*b - 50 = -4*r, 7 + 13 = v*b - 4*r. What is the remainder when 19 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 38\/(-8) + (-1 - -1). What is the nearest to 0.1 in -5, -6, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 197 = 2*j + 21, 440 = 5*j + 4*d. Suppose 2*i = -2*i + j. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5\/2, -26, 0.083, 0.2 in decreasing order.\nAnswer: 2, 0.2, 0.083, -5\/2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6952218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 160065804 divided by 976011\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1122\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 186878?\nAnswer: -186877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 872?\nAnswer: 75864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 495*r**3 - r + 12. Let s(c) = 1487*c**3 - 4*c + 34. Calculate 6*s(w) - 17*u(w).\nAnswer: 507*w**3 - 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from nxnnnxwdndxdn.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(t - 4*t - 3*t) to the form d + w*t and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:42 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/13148 and -119\/60.\nAnswer: 197220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -12 + 2 + 1 + (2 - -7) - -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 3*u**2 + 9*u**2)*(-4 - 3 + 5)*(-3 + 3 + u) + (7*u - 2*u - 3*u)*(-7*u**2 + 809*u - 809*u).\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.5 - -22.3. Which is the second biggest value? (a) 3.4 (b) 2\/3 (c) r (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 - (-18)\/(-10). Let g be 4 + f - 2*2. Let y = 6 + g. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 327.16 millennia?\nAnswer: 32716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5 - 10. What is the closest to 1 in 0.3, 2, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.75 and 7.\nAnswer: 5.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -214429319 - 5?\nAnswer: -214429324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 4*i - 3. Let h(j) = -4*j**2 + 4*j - 4. Let s be 6*-2*3\/54*-6. Suppose 171 - 191 = 4*q. Determine q*x(o) + s*h(o).\nAnswer: -o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 0*o**2 + 1\/3*o**3 - 194 + 0*o. Let n(x) = -3*x**2 + 79. Give n(u(g)).\nAnswer: -3*g**4 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 648 = c + 30, f + 19*c = 17*c - 81 for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + -2)*(6 - 7). Suppose -h*v + 5 = -5*v. Solve 3*b - 14 = -v*g, -2*g - 3*b = g - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x - 25 = 0. Let u be (-2)\/15*36\/6. Sort x, 0.2, u in descending order.\nAnswer: x, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 69 + 69)*(-4 - 5 + 1) - 3*i + 2*i - 3*i + (i - i + i)*(-5 + 3 + 0) - 2*i + 4*i - 3*i to the form w + g*i and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*h**3 + 9 - 9*h**3 - 19*h**3 wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3802 is divided by 7 - -1 - (2\/(-3))\/(70\/198765).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w - 27. Let p be f(5). What is the highest common divisor of 261 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32\/55 + -2\/11. Let k = 0 - -0.1. Let u = -5.1 + 6.1. Which is the closest to u? (a) f (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, h: 5, z: 3, e: 3, y: 4, i: 1}. Give prob of sequence ih.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 188 = 0. Let j be 3\/(-4 - -1)*-3. Let n be p\/(-20) + j\/5. What is the greatest common factor of n and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7658 and 1466?\nAnswer: 5613314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1606*w**2 + 42*w**4 - 3*w**5 - 1605*w**2 + 3259*w**2 + 93*w**3 = 0. Calculate w.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -393, -591, -787, -981?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 53. Suppose 6 = f + 5*p + 24, -2*p + 8 = a. Let z = -28 - f. What is the remainder when 19 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*u + 2*u - 41, h = 4*u + 1. Suppose t + t + 4 = 0. What is the nearest to h in -0.3, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1928*y**2 - 163*y**5 - 1928*y**2)*(6 - 3 - 1).\nAnswer: -326*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858104 and 92574?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let l(h) = h - 7. Let q(v) = 7*v**2 + 2*v + 1. Let w be q(-1). Let a be l(w). Sort n, 1, a in ascending order.\nAnswer: a, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111010001 + -100?\nAnswer: -10010111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2110468206839\/4710 - -448082438. Let r be 936932\/(-10670505) + (-2)\/(-23). Let k = q - r. What is the common denominator of -7\/12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:09 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/22841?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r + 54. Let g be k(6). Suppose g*d - d - 4130 = 0. What are the prime factors of d?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/135*5*-9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from xmimjoxxxmximi?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3330*r**3 + 8*r. Let a(i) = i**3 + 2*i. What is 4*a(g) - t(g)?\nAnswer: 3334*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 48*a**2 - 93*a + 46.\nAnswer: -(a - 46)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15227945.\nAnswer: 5, 3045589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 878021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-91)*(164 + -94).\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.236 - -0.284. Is -4 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3*y**2 + 3*p**3 + 31*p**2*y**2 - 7*p**2*y + 2*p wrt y.\nAnswer: 8*p**3 + 62*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v**2 - v. Let n(q) = 2*q + 6. Let x be n(-6). Let l be 8\/x + (-2)\/(-6). Determine g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaoaaaaaaaaaaaa. What is prob of sequence oao?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*j = 10 + 12, -60 = -5*h + 45*j + 49 - 24 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*z + 210*z + 127*z = 217303720. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 42*y**3 + 18*y**2 - 8*y - 17. Let d be i(8). Suppose 0 = -21*o - 4*o + d. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**3*g**6 - 705*f**3 + 2*f**2*g**2 + 57*g**5 wrt g?\nAnswer: 480*f**3*g**3 + 3420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 44*w**2 - 303*w - 9. Determine b(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -543, 88\/1303, -5?\nAnswer: 88\/1303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22881, 91464, 205783, 365838, 571629?\nAnswer: 823156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 3 = -2*l - 5*y, y = 4*l + 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/13, 0, 3.33?\nAnswer: 3.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 - 3*n**3 - 2*n**2 + 2 + 4*n**3 - 6*n. Let x = 74 + -68. What are the prime factors of f(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2 - 15\/9). Suppose 3*w + 27 = -p. Is 7\/(8\/w + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31643 + 93914\/3. Let c = u + 342. Let s = c - 47\/12. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -5 (c) 3\/5 (d) -10 (e) -4 (f) 26.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Let s(d) = 60*d**3 - 3*d**2 + d + 1. Let t be s(h). Suppose -5*n = -0*z + 5*z - 2415, -z - 4*n + t = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000058176 rounded to seven decimal places?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) -4 (c) 0.4 (d) -2 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144537651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38025594 to the nearest integer?\nAnswer: 6166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/5 not equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75\/2 in -2.3, -1\/3, -2, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 5*s**2 + 5*s - 22. Let l be z(5). Solve -2*x - i - 11 = 0, -i = l*i + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/70)\/((-4)\/3 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 178\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*1408.\nAnswer: -1971.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 - 8*g**2 + 7*g + 6. Let z(c) = -6*c**3 - 9*c**2 + 7*c + 6. Let i(n) = 5*o(n) - 4*z(n). Calculate i(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 9 = -3*n, -126*n - 13 = -d - 131*n for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46*4226.\nAnswer: 194396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.091 and 6.68.\nAnswer: 27.32788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2))**(1\/63)*((m*(m*m**2)\/m*m)\/m)**(-42))**18 assuming m is positive.\nAnswer: m**(-15873\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278552, -51, 5.\nAnswer: -278552, -51, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 7:57 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 - 37620721406\nAnswer: -37620721406.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 9*w**2 - 2*w + 13. Is 31 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 4394 = 2*m. Suppose 923 - m = 15*l. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 21*z**2 + z + 1. Let q = -17 - -19. Let h be l(q). Let s = -96 + h. Which is the closest to -1\/3? (a) -4\/3 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((1144\/(-33))\/(-13))\/(-1 + 525\/522) and 8.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -10 + (-1 - -4) + (-26 - 0)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111000000110 (base 2) to base 10\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/4770 + -43721\/19080. Calculate the common denominator of w and 5\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/126 - -289\/63. Let z(c) be the first derivative of 15 + 6*c + y*c**2. What is the first derivative of z(l) wrt l?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 h when four letters picked without replacement from kkkkkkkkshkhhhkkh?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 9. Let a = 8 - 4. Suppose -2*u + u - 39 = -a*i, -i + 3 = 2*u. Let t be w(i). Let x(h) = -h**3 - h**2 - h - 12. Determine x(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = z + 35, 5*c + 434*z - 435*z = -25 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/43? (a) -1\/2 (b) -1 (c) 3\/5 (d) -0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 12 - 22. Let u be (-5)\/t*4*1. Differentiate p**2 + 3*p**4 - p**2 + u - 2*p**4 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - (-1*sqrt(200) + sqrt(200) + sqrt(200)))*-1)\/(sqrt(48)\/(sqrt(24)\/sqrt(4))))\/(sqrt(125)*3 - sqrt(5)*-2*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 2:22 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 8:46 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 38*w + 124*w - 36 - 666*w + 67 - 30 to the form n*w + a + h*w**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28 + -0.6. Let o = w + 0.65. Let s = -0.33 + o. Is 0 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 173 - 85 + 16*l**3.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -70 (b) -58 (c) 2\/13 (d) -1 (e) 1\/10 (f) 0.064\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + h**3 - h**3 + 34*h.\nAnswer: -2*h**3 + 34*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + k**2 + k + 1. Let o(w) = w + w**2 + 3*w**3 + 1 - 10*w**2 + 10*w**2. What is o(h) - x(h)?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -39*m**2 + 6*m + 6. Let o(r) = -781*r**2 + 121*r + 121. Give -121*i(s) + 6*o(s).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -49*c**5 + 48*c**2 + 7*c + 7. Let x(g) = 2*g**5 + g**2 - g - 1. Let w(k) = -14*x(k) - 2*y(k). Find the third derivative of w(o) wrt o.\nAnswer: 4200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 68*b**2 + 70*b + 223. Give c(-67).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 2 = -5*v. Let h be (-2 + 18)\/(v\/(-15)). Round h to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 101100?\nAnswer: 101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.8. Suppose -25 = 4*x - 9, i - 14 = 4*x. Let y be (-2 - i)*1\/2. Which is the second biggest value? (a) -4 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193 - 117. Let v = l - 50. Let f(w) = 27*w - 6. Calculate the remainder when f(4) is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*t + z - 295, -t - 71 = 2*z. Let k = 63 + t. Suppose 0 = -o + k*u + 2*u, 2*o - 36 = -4*u. Calculate the greatest common divisor of 132 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/9 + 80\/360. Let x = 9 - 1. What is the highest common factor of x and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 274299 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.217575 and 4.\nAnswer: -80.8703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - p - 21, 3*m - p = -15 - 6. Let w be (-34)\/m + (-3)\/(-9). Let x = 17 + -12. Solve 2*h + v + 9 = 0, -5*h - w = -x*v + 2*v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x\/x**(-1\/19))*x*x\/(x**(-5\/7)\/x))\/((x\/(x*x**11))\/(x*x\/(x*x*x**(1\/5)))))**37 assuming x is positive.\nAnswer: x**(405039\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1779907*o - 108. Is b(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-40)*w)\/w**(-31))**(-43) assuming w is positive.\nAnswer: w**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(8)\/sqrt(4)) + 4 + ((sqrt(2)*1)**2 + 2 - sqrt(2)).\nAnswer: -sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/37 and 3 + 0 - ((-595)\/(-14) - -3).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 118\/6 + 2\/6. Let l be 1*30*(-4 + 5). Calculate the highest common divisor of g and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -289125498*s**3*v**3 - 1834664*s**3*v - 101*v**2 wrt v.\nAnswer: -1734752988*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3\/(-6)*(1 - 5). Suppose 0 = 4*v + 12, -5*o = q*v + v + 4. Let r(y) = 3*y**3 + y**2 - 2*y + 1. What is r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -59 - (-46 - (-51 + 31)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 - 5*d**2 + 2. Let t = 843 + -839. Let p(f) = 9*f**3 - 9*f**2 + 3. Give t*p(j) - 7*i(j).\nAnswer: j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 733462577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67956260*k**4 + 287351*k + 89.\nAnswer: -815475120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 39 = 3*h, 1239*s + 325 = 3*h + 1237*s + 148 + 163 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -61. What is the remainder when 9 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - h + 3 = 0, 3*t - 4*h + 421 = 404 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**6 - 384*f**5 - 1413*f**2 + 2*f wrt f?\nAnswer: -360*f**3 - 23040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 2416355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2338 and 27040306.\nAnswer: 189282142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**3 + 19260*m**2 + 440445*m + 421190 = 0?\nAnswer: -3829, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 - -0.02. Let d = g - 7.84. Let z = -10 - d. Which is the smallest value? (a) z (b) 1\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 24*z**2 + 8. What is l(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 1\/150*i**6 - 7\/240*i**8 + 0*i - i**2 + 0 + 7\/150*i**7 - 1\/75*i**5 + 0*i**4 + 0*i**3. Determine x so that b(x) = 0.\nAnswer: -2\/7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, -0.3, 1, 1\/2 in decreasing order.\nAnswer: 13, 1, 1\/2, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose s = -5*z + 14. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 8. Let g be p(7). Let c(n) = 70*n**3 + n - 1. Let r be c(g). Is 8 a factor of r\/8 - (-5)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 74*g**2 - 483*g + 581. Give r(80).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/780 and 25\/8.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 4:19 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36538848, -73077724, -109616602, -146155482, -182694364, -219233248?\nAnswer: -255772134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14659393933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olngoow. Give prob of sequence wn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3 + 0 + 2 + 0 + 5 - 3 - 3 + (-2 - 2 + 5)*(3 + 1 - 6) + 0 - 2 + 4 + 1 + 0 - 2)*(3*n**2 - 3*n**2 - n**3)*(-79 + 79 + 2*n**2).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 25*r - 11*r - 32*r to g*r + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13064265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and -1397.1?\nAnswer: 433.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 802?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 11:03 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 12. Suppose q - l = -3. Suppose 4*j - 5*z = -q*z + 38, z - 21 = -2*j. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-11 - -3) - (-2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**9\/126 - v**5\/60 + 5*v**2. What is the third derivative of s(z) wrt z?\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2874111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11567619 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round -5953 to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*m = -150*m - 114*m - 300 - 16365 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 163*q - 19. Is v(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 20 = -2*w, -2*b - 41 = w - 37. Solve 3*t - 6 = w*f, -5*t + f - 3*f + 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001100 - 10001011000111?\nAnswer: -10000011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.91 + -0.39. Let t = o + -0.7. Let d(u) = u**2 + 9*u + 19. Let h be d(-7). What is the nearest to 1 in h, -1\/4, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8967313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.8. Let b = -5815 + 11401\/2. Let h = 115 + b. What is the third biggest value in -0.3, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzfoofozfoofofzoofoo. What is prob of sequence ozo?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 337851520 and 2010.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.226 to two decimal places.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24237, 48287, 72337, 96387, 120437?\nAnswer: 144487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 791240472 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94799 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/84)\/(172\/(-345720)*-67).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426 divided by 142.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z + z**3 + 12*z**2 - 18*z**2 + 13*z**2 - 7 + 11*z - 17*z. Let o be c(-7). Solve 11 - o = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + w**2 + w - 1. Let y be (-550)\/(-385) + 34\/(-14). Let j(r) = 3*r**2 - r - 3. Give y*j(g) + 3*u(g).\nAnswer: 3*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/20 and ((-5765)\/375)\/((-224)\/40) + -3.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 176?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -95. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 13) to base 11\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007112 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 6*v + 5. Let p be z(-6). Let n(t) = 2*t - 4. Let f be n(p). Suppose k - 14 = -f*k. Solve a + a = -k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -46. Calculate the remainder when 50 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j. Let d(t) = -t**2 - 5*t + 2. Let o(n) = -d(n) - 2*l(n). Let h be o(6). Solve -3*k = -8*k - b + 25, -2*b = -h*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 3:06 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 4. Suppose -2*x = x + t. Which is bigger: 1\/3 or x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-9))\/(1 + 10\/(-12)). Let v(i) = -3*i - 6*i + d + 2*i. Let l(p) = p - 1. Suppose 4*r = 2*u - 8, 3*r - 4*r = -1. Determine u*l(w) + v(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - (6 - (-2 + -2 + 1)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112224835 and 2505?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r - 6*r)*(-16 + 6 - 6).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24401 (base 8) in base 11?\nAnswer: -7983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1430000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 110242?\nAnswer: -110204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let z = -56 - -59. Let n(t) = 3*t - 4*t + z*t. Determine n(b(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/2 - 25153*i**2\/2 + 160395515*i\/2 - 27910605251\/2 = 0. Calculate i.\nAnswer: 179, 12487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 269 + -144. Let r = -347 - -595. Let l = r - c. Round l to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l**5*x + 85*l**4*x - l*x + 2481*x wrt l?\nAnswer: -140*l**3*x + 1020*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73169 is divided by 5430.\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 5*u + 6. Let t be i(-5). Let z(x) = -t + 35 + 8 + x**2. List the prime factors of z(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29281 and 9612?\nAnswer: 3162348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 117*k**2 - 118*k - 247. What is j(-116)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:24 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c - 138 + 42 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/1 + -18)*((-18)\/(-8) + -2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 161993, 1 in decreasing order.\nAnswer: 161993, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t. Let a(l) = -4*l**2 + l**2 + 2*l**2. Calculate a(u(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1076 - -12?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8262 - 0.3913. What is a rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 8*v - 5. Suppose -33 = 4*g - 3*i - 8, 4*i = -20. What is the tens digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 28 (b) -305 (c) -3\/2 (d) -0.3 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/7 + 1574*l\/7 - 4740\/7 = 0. What is l?\nAnswer: -790, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**3 + 4*r**2 + 7*r + 4. Let a be f(-1). Factor -15*d**3 - 104*d**2 + 5*d**5 + a*d + 5*d**4 + 49*d**2 + 50*d**2.\nAnswer: 5*d*(d - 1)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 3*t**2 + 13*t**2 + 8 + t**3 + 10*t. Let k be f(-9). What is the greatest common factor of k and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 12, -2, -3\/8, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 12 = -4*n. Let a = n + -4. Let q = a + 9. Calculate the highest common divisor of q and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 259 - -19. Let y = j - 169. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 16, w: 2}. What is prob of sequence yww?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16464990 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 28*r**3 + 24*r**2 + 128*r - 128.\nAnswer: 4*(r - 4)**2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqazryazyyqaearz. What is prob of sequence rry?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m = 12. Let v be (-24)\/m - (-1 - -1). Suppose 2*x - 2 = 3*a + v*x, -x = 5*a - 8. Solve 2*i - 2 + 4 = 0, 4*o - 10 = a*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 59*f**2 + 22*f**2.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9471*o - 1250424. What is y(132)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -107. Solve -4*x = -5*m + 2, 1 + n = -3*x + 4*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**6\/40 - k**5\/5 - 5*k**4\/8 - k**3 + 4178*k**2. Factor b(w).\nAnswer: -3*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70 + 12?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101976 divided by 3.\nAnswer: -33992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215\/3 - 71. Let o = -0.266 + 13.536. Let n = o - -0.73. Which is the nearest to n? (a) -0.2 (b) m (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*a - 75 = 0, -d + 3*a + 1 = 2. Let s = d - 6. Let q(g) be the second derivative of g**3\/2 + 5*g**2\/2 - 27549*g - 2. Calculate q(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 241 = -52*y - 5*i, -3*y - 8137 + 8128 = 5*i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 63*g = -60*g - 92, 2824 = -142*q - 4*g for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151 by 6.\nAnswer: -151\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*g**2 + 925*g - 105.\nAnswer: -5*(g - 7)*(26*g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -150*z + 41*z + 188. Let b(t) = t**3 - 7*t**2 - 2*t + 11. What is b(z)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -m - f, 6*f + 334 = 3*m + f. Suppose 5*r + 5 = -2*l + m, -l - 5*r = -39. Let n = 62 - l. Which is smaller: n or -6\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11257593539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 5*m**3\/6 - 13*m**2\/2 - 4*m - 93. Let n(a) be the first derivative of c(a). Let j(u) = u. What is j(n(o))?\nAnswer: 5*o - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39163 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96147702 by -1218.\nAnswer: -78939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -193.\nAnswer: -193, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16388a7 (base 15) to base 6\nAnswer: -1333401151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, w: 3, e: 2, u: 2, y: 2, s: 3}. What is prob of sequence uowu?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 187*k**2 - 23383*k + 996. Give l(125).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 46 = 4*y, 2*y + 0*p + 4*p = -32. Let n = -8 - y. Solve -5*o = -n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121029203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + g + 0*g + (-1 + 1 + 2*g)*(1 + 5 - 5) + g - g + 2*g + (-1 + 1 - 1)*(2*g + 0 + 0) - 6*g + 5*g + 0*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44477701?\nAnswer: 97, 458533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 322702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let o(a) = -7 + 0*a + 4*a - a**3 - 5*a**b - 1. Calculate the remainder when 6 is divided by o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1 (c) 4\/3 (d) 7.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200746 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/14*224\/(-48).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/98*(-4)\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110079940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 424*w - 868. Let m(f) = -2*f**2 - 2*f + 2. Let c(v) = -k(v) + 2*m(v). Factor c(x).\nAnswer: -4*(x - 2)*(x + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 388, 587, 770, 931, 1064, 1163, 1222?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 89 and 0.5248?\nAnswer: 88.4752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, -1\/88, -6, -1\/15, 0.0436?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 10:40 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxixzzzxmqmmmmzxzix. What is prob of picking 1 q and 3 m?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*-118)\/(26\/13). Let b = 97 + z. Suppose b + 18 = 8*o. What is the greatest common factor of 91 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2 - -1)*132. Find the first derivative of -228 - 230 + 475 - h*b**4 wrt b.\nAnswer: -176*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 16*o**2 + 65*o**2.\nAnswer: 81*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -343\/4 - -85. What is the nearest to -2 in 4, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*x + x + 12, 3*x - r - 16 = 0. Suppose 0 = 4*p + 5*a, -4*p + 0*a - x*a = -4. Solve -4*z + p*k = -3*z + 20, 3*k = 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -748*f**4 + 619*f**2?\nAnswer: -17952*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2*sqrt(12) - sqrt(12)))\/(5*sqrt(8)\/sqrt(2))*-6 - (((sqrt(147) + -1)**2 + 0 - sqrt(147)) + (sqrt(147) + sqrt(147) + -1)*5)) + 1.\nAnswer: -142 - 227*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-12))\/(10\/(-15)))\/((-1)\/1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13824)\/336)\/72*1*-7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.4 from -0.05.\nAnswer: 11.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3653, -4471, -5761, -7517, -9733, -12403, -15521, -19081?\n\"Answer: s**3 - 242*s**2 - 99*s - 3313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 999611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 37\/31 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4155*k = -4154*k, -13*o - 4*k = -3*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -71096782.67 rounded to the nearest one million?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28767 and 223.\nAnswer: 28767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 19*m**2 - 19*m - 18. Let x be j(20). Suppose -x*o = -4*o + 6. Solve 2*z + o*i + 17 = 0, 1 = -3*i - 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*-7178.\nAnswer: -9331.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -3.43, 2\/9, -4, 2, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -46\/7239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -11) + -6 + (-12)\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -665*i**3\/3 + i**2\/2 + 271*i - 59. What is the second derivative of t(o) wrt o?\nAnswer: -1330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(252) + 0 + -1)**2 + -1*(sqrt(252) + 1 - sqrt(252)))*4 + -2.\nAnswer: -48*sqrt(7) + 1001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2198*c**3 - 6*c**2 + 1964*c - 1. Let j(l) = l**3 - 6*l**2 - 1. Let p(q) = b(q) - j(q). Find the second derivative of p(h) wrt h.\nAnswer: 13182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/39912833 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132.995 + 0.005. Let t = -133.00057 + g. What is t rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 335, 503, 671, 839?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -23*t**5\/5 - 1721*t**2. Let j(z) = -2*z. What is x(j(d))?\nAnswer: -1104*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*m*t**4 + 2*m*t**2 + 2*t**2 wrt t.\nAnswer: 648*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-3\/2))\/s)**(-8)*(s*s**(-14\/5))**(-38))**(2\/57) assuming s is positive.\nAnswer: s**(188\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-28))\/(-7 + (-465)\/(-70)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214214 (base 6) in base 3?\nAnswer: 12122102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 358933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17 and -77.\nAnswer: -13.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -66.695 times -64.26\nAnswer: 4285.8207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-20))\/((-1)\/4). Let p = 53\/5 - 111\/10. What is the closest to p in v, 3\/4, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*i, -4*b + 1476 = -5*i + 1524 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-9 + 1 + 19) - -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**2 + 10*u + 495 = 0.\nAnswer: -9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 4*z + 4*z + (3 + z - 3)*(-5 + 14 + 13))*(0 - 5 + 3)*(-1 + 0 - 1)*(z + 2*z - z).\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21432, -22040, -23052, -24468, -26288, -28512, -31140?\n\"Answer: -202*k**2 - 2*k - 21228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165686820 to the power of 1\/2, to the nearest integer?\nAnswer: 12872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - -3361.\nAnswer: 3394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3759541830 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 230 + -852. Let s = h - -619. What is the closest to -2\/3 in -0.03, 5, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 20*q**2 - 39*q - 43. Give a(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/5 - x**4\/6 + x**3\/6 + 3*x. Let l be ((-3)\/1 - -1)\/(-11 - -9). Determine n(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -17. Suppose -724 = -r*y + 6*y. What are the prime factors of y?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - ((5 - 6) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 583 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Suppose 6*s + 10 = s. Which is the nearest to 2? (a) s (b) n (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7352\/429 bigger than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.16 (b) -3 (c) -7 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001273319197 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 11\/147 (c) -0.2 (d) -1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9716589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28, -34, -26, 2, 56, 142, 266, 434?\n\"Answer: v**3 + v**2 - 16*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55\/476 or 1?\nAnswer: -55\/476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 99\/(-6) - 9\/(-6). Let f = 19 + x. Solve 3*q = -q - f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = 3*d. Let f(t) = 8700*t**2 + t + 1. Let v be f(d). What is v rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2 - 9. Let f be y(4). Suppose 5*q + k - 4*k = f, k + 1 = 0. What is the units digit of (-4)\/(-6) + 228\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-18))\/(435\/(-522))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 0, 2*b = -5*y + 460 - 118. What is the remainder when 715 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 32794?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5*x + 27 = 0, 2*t + 2 = 2*x - 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 146768544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 11*r + 27. Let w be z(10). Suppose 0 = -4*c, 2*c - w = -v - 4. Solve v = -2*d + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/68 and -73\/2?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3 + 2*p - p - 3*p + 1. Calculate k(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 158\/439 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 71 = -5. Let l = b + 77. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2603 is divided by 819.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**4*t + 1202*h*t + 29931*h - 3088*t - 8739 wrt h?\nAnswer: -4*h**3*t + 1202*t + 29931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4 - 114*u**3 - 126*u**2 + 586*u - 348 = 0.\nAnswer: -3, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l**2 + 2*l**2 + 5 + 2*l**2 - 3*l**2 - 8*l. Give c(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*a + 1, 3*i - 3*a + 44 = -2*i. Suppose 4*v = -5*y + 7 + 2, 4*y + 6 = -v. Let w = i + v. Sort w, 1, 0 in ascending order.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -58. Let h be (-73)\/((-2)\/(-4)*-2). Let x = h - m. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532341899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -783257594 by -31.\nAnswer: 25266374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/13 (c) 878\/7 (d) 41 (e) 0.06 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*p + 10, -27 = -5*p - 5*q - 2. Suppose -5*d - 5*z = -555, 3*d - 7*z + 5*z - 308 = p. List the prime factors of d.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-190707)\/(-18) + 5\/30. Let w = -18595 + f. Round w to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496398977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 419 + 13*m**2 + 0*m**2 - 2*m**2 + 28*m - 3*m**2 wrt m.\nAnswer: 16*m + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((15\/(-4))\/(-5))\/(43\/(-172)). Which is the fifth smallest value? (a) u (b) 1 (c) -34 (d) -2\/7 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 2 - 5)*(-2*u + 3*u - 2*u).\nAnswer: 50*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, 2, -0.11, 12?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52317?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-15)*h**(5\/4)*h*h)\/(h**0)**31 assuming h is positive.\nAnswer: h**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. What is the remainder when 7 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -z + 2*s, -2*z + 3*s + 3 + 59 = 0. What is the lowest common multiple of z\/90*10 - 2\/(-9) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 484 and -17037.\nAnswer: -16553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -31*j + 1784. What is b(57)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43719 divided by 1121?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1393 = 37*b - 113 - 640 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444 by -111.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/28 and 26\/11531135.\nAnswer: 46124540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40533186?\nAnswer: 2, 3, 877, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*4.5\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 39*w**2 - 51*w - 103. Let y be b(-37). Let f = -739 - y. What is the remainder when f is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 2*t**3 - 19 - 2*t**4 + 19.\nAnswer: -2*t**2*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 34294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 11:52 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 53*d**2 + 200*d - 35. Give s(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -13*p**3 - 7*p**2 - 7. Suppose 3*a = -5*s + 13, 2*a + 2*a = -2*s - 6. Let i(m) = -4*m**2 - 7 - 7*m**3 + 2 + 1 + 0*m**2. Calculate a*x(b) + 7*i(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 576, 1088, 1600, 2112?\n\"Answer: 512*x + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39927*z + 39930*z + 2*b + 6 = 4, 0 = 7*z - 3*b - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 919892*b*s**3*u**3 - 6*b*s**2*u**3 + 2*b*s**2*u**2 - 9285*b*s*u - b*u wrt s?\nAnswer: 5519352*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465 divided by -9210.\nAnswer: 31\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(147) + 5 + sqrt(147) + -5)*3 + 1)**2.\nAnswer: 126*sqrt(3) + 11908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idikkuiriukkdurr. What is prob of sequence dkku?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -284*t**2 - 8. Let b(m) = -95*m**2 - 3. Determine -8*b(a) + 3*h(a).\nAnswer: -92*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 12. Let h(x) be the first derivative of -x + 7. Let k(m) = -b(m) + 2*h(m). Suppose 2*q + 2*p - 7*p = 1, 25 = 5*q - 5*p. Determine k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86372\/(-2925))\/(-151) - (-2)\/75?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.048 (b) -0.3 (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*m - 15 = 0, p + 326 - 323 = m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*r - 105 + 38 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*o - 55149, -18366 = -x + 1100*o - 1095*o. What are the prime factors of x?\nAnswer: 3, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + -2 - (-10 + (3 - -11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + 27*k - 12. What is the remainder when f(-9) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2661944538?\nAnswer: 2, 3, 11, 40332493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-30)\/18)*(3 + (-3006)\/996). Is -1 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18)\/(3\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*i**2 - 22*i**2 + 29*i**2 + (4 - 2 - 4)*(2 - 2 + 3*i**2).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 25*f + 292. Give x(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*y + 4*m, -2*y + m = -0*y + 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51138 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11650 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.011 + -7.011. Let g = -147 + 152. What is the biggest value in k, g, -4, -4\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 9. Let q = 1.02 - 0.02. Let h be ((-2)\/(-4))\/(41\/123). Which is the nearest to q? (a) -1 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - 34*p**2 + 11*p + 5*p**4 - 5*p**4 - 44*p + 33*p**2 - 2*p**4 in the form s*p**4 + k*p**2 + b*p**3 + t*p + u and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = v - 25, 0*w + 3*w - 2 = 2*v. Suppose -w*j = -j - 12. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*a - 5*a - 49 = 0, -2*a = 5*c - 61. Let z(b) = 4*b. What is the remainder when z(5) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(85)*-1*3*4)\/((sqrt(300)\/sqrt(20))\/((sqrt(60)*-1)\/sqrt(5))))**2.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 21624155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*x - 8, -10*x + 6*x - 14 = -y. Put x, 3, -3 in descending order.\nAnswer: 3, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158139172 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23033277 is divided by 7677740.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 4 - 4 + (-1 + 5 + 1)*(-18*i + 29 + 11 + 21*i))*(2*i - 5*i + i) to l*i + f + j*i**2 and give l.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 181, 7, 3 in increasing order.\nAnswer: -3, -2, 3, 7, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14018933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence max when three letters picked without replacement from jeaemxeaamame.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {r: 1, b: 4, k: 4, l: 8, d: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, l: 12}. What is prob of picking 2 r and 2 l?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15999384 and 8?\nAnswer: 15999384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-15)*10\/(-8). Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 28 = 0. Calculate the remainder when 25 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 + 162. Let t(j) = -j**2 + 4 + 15*j + q*j - 2 - 28*j. Let k = 0 + -3. Let y(d) = -d**2 + d + 1. What is k*t(b) + 4*y(b)?\nAnswer: -b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/4)\/248*(-347 - -353)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39, 34, 21, 0, -29, -66, -111?\n\"Answer: -4*j**2 + 7*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302452 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 + 2891*h + 1132008 = 0.\nAnswer: -2424, -467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, 3, 7, 8, 5, 0.02?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 9541505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1031027 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 344*z - 2295. What is j(165)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/((-20)\/5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82594*y**4 + 33138*y wrt y.\nAnswer: 991128*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 82*n**3 - 56*n**2 - 2*n. Let i(h) = -7*h**2. Calculate -8*i(g) + m(g).\nAnswer: 82*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7189806721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 11 = -17*r. Suppose -3*x + o + 70 = 0, -2*o = -7*o - 5. What is the remainder when x is divided by (5 - 3\/r) + -4 + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*13\/130*-10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 6. Let j be s(6). Let t = j - -16. Let r(o) = 5*o - 5. Is r(t) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -21*p**2 - 750*p + 222. Calculate m(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 206 (c) -6.8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -134144, -268285, -402436, -536603, -670792, -805009?\n\"Answer: -z**3 + z**2 - 134137*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4555)\/(-1822)*(1\/5 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 + -123. Which is smaller: j or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*f - 482 = 0, -306 = -4*q - 3*f + 333. Suppose -3*z = -s + 34, -59 = 5*s - z - q. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82321 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -y - 15. Let r = y - -46. Solve 4*z = -t - r*t, -12 = -5*t + z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -31, -65, -111?\n\"Answer: -6*z**2 - 4*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -389 and 4825 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -29. Suppose -2*u + 14 = -o. Calculate the least common multiple of u and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - 50 - s + 114 as h*s + c and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46064 is divided by 11491?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (-3 - -33) - (-6 + 1 - -23)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179832941.\nAnswer: 61, 1297, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 3:39 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -3. What is the third derivative of -2*u**6 + 2*u**6 - 19*u**2 + 7*u**6 + 7*u**a wrt u?\nAnswer: 1680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42703005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x**2 - 3*x + 4. Let c(a) = 15*a**2 + 5*a - 7. Calculate -4*c(i) - 7*n(i).\nAnswer: -11*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1 + (-1 + 1 - 1)*(-3 - 2 + 3) + (0 - 3 - 1)*(3 + 2 + 4))*(-2*a - 2*a + 3*a).\nAnswer: 31*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {d: 1, w: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -437*(-30)\/(-9200)*40\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 3*b + 11, -3*q + 4*b = 5. What is the second derivative of -12*l**q - l**5 - 142*l**2 + 17*l + 142*l**2 wrt l?\nAnswer: -260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from {u: 4, y: 3, p: 1, e: 5, n: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(77) + sqrt(77) + sqrt(77) - sqrt(77))*2)\/(sqrt(132)\/sqrt(108)).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skrrykk. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 i when three letters picked without replacement from iiiizziiiiiiiiiz?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-69)\/288)\/((-14)\/462) + -8. Let n = 0.72 + -0.82. What is the third biggest value in n, 5, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**3 - 6*w**2 + 6*w - 7. Let y(f) = 7*f**3 + 11*f**2 - 11*f + 13. Let t = -10 + 6. Let n = t + 15. Give n*b(j) + 6*y(j).\nAnswer: -2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/19 and (-2 + -1 + 27)*(-2)\/(-11).\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52 - 1?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 divided by -2?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and -0.1067?\nAnswer: 0.17072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(180)\/(-2*sqrt(10) - sqrt(10)))\/(sqrt(6) + 4*-3*sqrt(6)) + -3.\nAnswer: -3 - 4*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -17 - (-3 - (-2 + 2)). What is the units digit of (a - -5)\/(3\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 3179 + 2095. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -119*d - 2056 + 1699 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 14 = -4*p. Solve 0 = 3*u + 15, -35 = -2*l - p*l + 3*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 56 = m, 2*x = 5*m - 3*m + 32. What is the lowest common multiple of x and 104?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 7, y: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(117)*4 + sqrt(13))**2)*-4.\nAnswer: -8792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 - 3*l + 4. Let d be z(-4). Solve -b - 2*v = -13, -2*v = -5*b - d*v + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39170 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9564337, 19128677, 28693017, 38257357, 47821697?\n\"Answer: 9564340*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - 11 - (5 - (-3 + 2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r**(-6)*r)*r*r**(-1\/3)*r**1\/r**(-1\/2))**(-1\/9) assuming r is positive.\nAnswer: r**(-61\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 13*q - 10. Let j be w(12). Suppose -j*u + 30 = -44. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94 or 365449?\nAnswer: 365449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from issessiis. What is prob of picking 1 i and 2 s?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 3:22 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3343 is divided by 2049?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 591793201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 6*d - 43 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v. Let z(o) be the second derivative of 32*o**3\/3 - 3*o - 270. Determine z(h(p)).\nAnswer: -704*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22386, -22389, -22392, -22395, -22398, -22401?\n\"Answer: -3*t - 22383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 0.21 (c) 5 (d) 6 (e) 0.028 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + -1 + 2 + 4 + -2.\nAnswer: 3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 1245768?\nAnswer: 1245772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/7))\/q)**17*((q**(5\/7)\/q)\/q)\/q**(-2\/9) assuming q is positive.\nAnswer: q**(239\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1823*a + 1818*a - 3626*a - 13755 = 0. Calculate the remainder when a is divided by 319.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, -0.3, 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -93673*5\nAnswer: -468365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + 45. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154147.53 hours in days?\nAnswer: 6422.81375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160491503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 50*t = -4*t + 312 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12643032071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-734)\/(-18) - 10\/(-45). Let t = 73 - z. Solve 2*g = -5*i - t + 7, -g = -2*i - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 56*n**2 - 22*n + 643. Determine s(-55).\nAnswer: -1172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -28*s - 2 + 50 + 37 - 57*s + 225*s**2. Let f(c) = -16*c**2 + 6*c - 6. Give 6*d(g) + 85*f(g).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 9359789 to the nearest ten thousand.\nAnswer: 9360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.38 + 0.24. Let f = -0.651 + z. Round f to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -2, -4, -8, -14, -22?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5680 times 0.7\nAnswer: 3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t - 18*t - 87 = 0. Is 5\/2 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.2. Let a = 34 + -305\/9. What is the nearest to 0.1 in -4, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7277160 divided by 5960\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 55*d + 492. Give z(-62).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3527137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6.046 * 0.5\nAnswer: -3.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 >= 55\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 13*z**2 - z - 176. What is k(-6)?\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*w - 2*w + 2*c, 6*w = -c - 33 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -18*z**3 + 14*z**2 + 16*z - 7. Is h(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 64*i + 10. Let j(w) = 73*w + 12. Let p(n) = 5*j(n) - 6*u(n). Let v(k) = k + 1. Calculate v(p(l)).\nAnswer: -19*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*p - 912 = 112 + 677 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2626?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 17. Let q be 2 - (2 + -3 - 19). Suppose 4*x - q = 3*x. Calculate the remainder when x is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.2968 from -4.\nAnswer: -6.2968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -327\/7 - -46. Let s = -6.5 - -6. Which is the biggest value? (a) 3 (b) 1\/5 (c) s (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 729\/(-54)*(-9880)\/(-2223).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uauau.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1113626956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/((-56)\/(-182)) + 16453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2658*p - 531568. What is a(-200)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3 (b) -7 (c) -2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 5:33 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + (-3 - -1))\/(2\/3). Suppose 0*o = 4*j - 2*o - 18, b = 3*o. Suppose -r + 206 = 2*i, j*i + 109 + 258 = 2*r. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b + 4*f - 22, f - 16 = -4*b. Suppose 2*o = y - 10, b*y - 2*y - 5*o - 1 = 0. Calculate the greatest common factor of y and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28300463102473 - -28300462988358.84809989. Let k = u + 114122.2519. Let z = k + -8.1. Round z to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-3)\/(-6)*85. Suppose -o = -7*v - 15. Solve 0 = 3*m + 3*x + 3, 3*m = -x + 3 - v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*t - 4*t + 105, 0 = -5*y - 5*t + 105. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/4)\/((-96)\/(-8)*225\/360).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {d: 2, x: 3, w: 4, m: 6}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k - 52. Determine r(8).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39569677 divided by 5652811?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18578 by 3.\nAnswer: -18578\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -28900*z**3 - 47*z - 46. Is r(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9229784g?\nAnswer: 922978400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*g - 50. What is the remainder when 128 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5633860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Let j(x) = 369*x**2. Give j(l(s)).\nAnswer: 1476*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1984.66576 rounded to the nearest 10?\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053443851 to six decimal places.\nAnswer: -0.005344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 3*g + 174, -3*v + 2*g = -40. Suppose -4*o = -4*m + 7*m + 19, 10 = -3*m + 5*o. Sort -3, v, 2, m.\nAnswer: m, -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2320 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-14)\/8)*80*(-48)\/(-120)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1373 - -1374. Sort 4, u, -132 in ascending order.\nAnswer: -132, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*a - 25*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -357 - 30142?\nAnswer: -30510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 389202552 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2327 + 6385 = 12*h. List 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 l(k) = 3*k + 1. Let v be l(1). Suppose -v*s = -5*s + 3. Find the third derivative of 3*z**4 + 0*z**6 - 3*z**4 + s*z**2 + 3*z**6 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.409 and 0.0966.\nAnswer: -2.8409094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*t = 3*t + 12, -2*g + t + 4 = 0. Solve -2*o - 4 = g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 15 - (-1558 - -1566)) + (12 - (1 - 0))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - -307. Let l = 391 - n. Let r be (2 + -1)*(1 + 5). What is the highest common factor of r and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and 46.\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2304 + -0.0304. Which is the second smallest value? (a) -0.2 (b) -6 (c) 6 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -484*s - 719. List the prime factors of p(-14).\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 67 = 5*u, -2*u = -0*c + 3*c - 32. Let w = -8 + u. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(9\/3) + 2. Let u = 9 + -35. Let o be (-1)\/(2\/u) - 0. Solve -f*n = -7 - o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1419526*q - 6075510 wrt q.\nAnswer: 1419526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/16)\/((-14)\/(-16)). Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x. Suppose -5*m + 10*m + 40 = x. Let c = 12 + m. Solve -4*a = c*i + 6 - 14, 0 = -3*i + 3*a + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4578 + 4658. What is the highest common divisor of s and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*n*n)**(15\/7)*(n**(-3))**(-12\/11) assuming n is positive.\nAnswer: n**(87\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, l: 3, a: 3, j: 1, d: 3, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3515970 divided by -3?\nAnswer: 1171990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 6. Let t be m(8). Let x(n) = 24*n + 5. Is x(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 - (186\/(-11))\/6. Let s be (7 - 0) + -3 + w + 3. Suppose 0 = 5*u - 17 + 2. Solve -2*y = u*y - s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 2, -3, -0.08, -25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8396*j + 788876 = -3474 - 173190 for j.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -12*v + 10. Suppose 0 = -2*y + 4*i, -4*y + i - 10 = 4. Is m(y) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-15) - (-3)\/(-9)) + 7553\/1547\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.2 - 20. Let x = 2.7 - -0.3. Which is the closest to w? (a) -4 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25675498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/10*1015\/609.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2. Let g(w) = 2*w**2 - w + 2. Let y(i) = 3*i**2 + 4*i + 2. Let d(u) = 4*g(u) + y(u). What is j(d(p))?\nAnswer: -242*p**4 - 440*p**2 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - k, 2*k = -c + 3*k + 2. Let z(d) = -d**2 + 4*d - 4. Let i be z(3). Is c < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/176 and -53\/272024.\nAnswer: 5984528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -4*p - 17*o - 22, 3*p = -18*o + 15*o - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by 1391025.\nAnswer: -52\/463675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171 - -176. Suppose -2*c + 599 = y*a, -3*a + 127 = -c - 239. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 891 divide 42252527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7291?\nAnswer: 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-243)*132)\/((-3)\/(-54)*4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 1, x: 2, o: 1}. Give prob of picking 1 a and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -65*k**3 + 4*k**2 - 4*k + 17. Let v(i) = -130*i**3 + 9*i**2 - 9*i + 35. Let j(c) = 4*v(c) - 9*z(c). What is the first derivative of j(q) wrt q?\nAnswer: 195*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*b - 56*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*n - 103, 52*l - 50*l - 21 = -n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.26 from 0.019629.\nAnswer: 2.279629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1330814 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -276850 greater than or equal to -276849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(648) + -2 + sqrt(648)))**2*1.\nAnswer: -18000*sqrt(2) + 324500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -70, -113, -176, -265?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13910180237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014098 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/16*(9 + 169\/(-13))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*p - 2385*p + 171*p)*(14*p - 9 + 9) to f*p + k*p**2 + a and give k.\nAnswer: -30884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, -129, 0.4, -3, 4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 102681.\nAnswer: 3491154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 544\/973 - 38\/139. What is the closest to -2\/5 in -0.4, 24, r, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 - 83. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 33564.\nAnswer: -1\/11188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + y + 47 + 49 = 0, 79 = -4*u - 3*y. Let l = u + 28. Solve 3*c - 4*a = -0*a + l, 6 = 2*c - a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.095 + -0.055. Which is the biggest value? (a) t (b) 4\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35726 by -1.\nAnswer: 35726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 6*c**2 + 2*c + 7. Let r be n(5). Let j be 9\/7 - r\/(-28). Let v be (1 + j + -1)*3. Solve -4*p + 17 = -v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1681 + -1680.997687. What is b rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**3 + 34*h**2*t**3 - 750*h*t**3 wrt h.\nAnswer: -24*h + 68*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(9*j**3 - 12*j**3 + 7*j**3).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 426*w. Let s(c) = -2*c**2 + 4559*c - 3. Determine s(f(a)).\nAnswer: -362952*a**2 + 1942134*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 941122 (base 10) to base 13\nAnswer: 26c4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*273\/(-182).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.6, -13.9779.\nAnswer: -13.9779, -0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 3*g + g + (-4*g + 3*g + 2*g)*(3 - 4 + 0) - 260*g + 184*g - 2408*g.\nAnswer: -2483*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*g - 31*g - 32*g - 35*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111232 = 8*b - 15928. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 4*t**2 - 3*t**2 + 6 - 4*t**3 + t**2. Let d = -11 + 10. Let b(j) = 3*j**3 - 2*j**2 + j**2 + 1 - 2*j**3 - 2*j**3. Give d*m(i) + 6*b(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020689009063 rounded to 7 decimal places?\nAnswer: -0.0002069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7595705 micrometers in nanometers?\nAnswer: 759.5705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*w + 29*w = 506. Let p(q) = 3*q**2 + 68*q + 47. Give p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttthtttttthtthtttt. What is prob of sequence thht?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/36 and -11\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-25)*f)\/f**(2\/3) assuming f is positive.\nAnswer: f**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(72)*5 + 2 + -3 + sqrt(72) + sqrt(72) + sqrt(72) + 4 + 0 + 1 + 1)**2.\nAnswer: 1680*sqrt(2) + 56473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*-6*sqrt(475).\nAnswer: -180*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3 + 341145*v**2 + 8187912*v + 49128336 = 0.\nAnswer: -12, 341169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = 10. Suppose -6 = 7*q - c*q. Let o(s) = 3*s**3 - 3*s - 2. Let m(y) = 4*y**3 + y**2 - 4*y - 3. Calculate q*m(u) - 3*o(u).\nAnswer: -u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 2, -2, 1\/20 in descending order.\nAnswer: 34, 2, 1\/20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174167886*w**4 - 173806833*w wrt w.\nAnswer: -2090014632*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 2\/3, 10, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*f**3 + 267*f**3 + 266*f**3 + 264*f**3 + 268*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -706561?\nAnswer: -706560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 + 8*d + 0*d**2 + 3*d**2 + d**2 - 6*d - d**3. Suppose 0 = 5*k - 2*i, -5*k + 4*i = 7*i + 25. Let h(s) = -2*s. Calculate k*b(z) - 3*h(z).\nAnswer: 2*z**3 + 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302564 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -0.1 (c) -12 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.724 - 6.63. Let w = -1.7 - k. What is w rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-21))\/((-2)\/(-12)). Let n be (-8)\/(-1) + t + -2. Suppose 0 = n*p - 4*a - 108, 0 = 2*a + a + 3. Which is smaller: 25 or p?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x - 1. Let n(o) = 5*o + 3. Let t(y) = -2*n(y) - 5*r(y). Suppose 183*b = 189*b + 6. Give t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -99521 minus -481830?\nAnswer: 382309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23995 <= 24016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 13716\nAnswer: -1\/3429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 15 = -3*t. Solve t*c = 0, n - 2*c = 5*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 6 = -24. Suppose -3*b + 207 = -o*j, 0*b - 5*j = -2*b + 144. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3957*z + 19782. Give b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.62944km to millimeters.\nAnswer: 75629440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-6 + (1 - -2) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + -4)*-1)**2 + -1 + sqrt(175) + (sqrt(175) - (1*sqrt(175) + -5)) + (-5 + sqrt(175) + -1)**2.\nAnswer: -95*sqrt(7) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/22, 3.1, -2\/239, 0.3, 15 in ascending order.\nAnswer: -1\/22, -2\/239, 0.3, 3.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 0.4. Let p be ((-2)\/4)\/(1\/2). Let c be 36\/20 - p\/5. What is the second biggest value in 3, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 21. What is the third derivative of 34*k**3 + 9*k**2 - 38*k**3 + n*k**2 - 15*k**3 wrt k?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/20*-1*35*(-428)\/321.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2 + 253*l = 0.\nAnswer: -253, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1778979, -1778976, -1778961, -1778928, -1778871?\nAnswer: -1778784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -8b?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*x = -2, -3 = -5*x - 8. Let h be 3\/(-9) + (-77)\/39. Which is greater: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - -6) + 48\/20. What is the fourth biggest value in 5, 2, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(2\/77)*j*j**5*j**(-2))\/(j*j\/(j\/(j\/(j\/(j*j**(-3)*j))))*j*j*(j\/((j\/j**5)\/j))\/j)**(-2\/17) assuming j is positive.\nAnswer: j**(44266\/9163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/3, -80.7, -1.12, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 110. Let u(h) = h - 13. Give u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-2\/15)*r*r**(3\/10)*r**1*r**2 assuming r is positive.\nAnswer: r**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.1. Let n = 4932 - 4932. What is the nearest to y in -4, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2865610.8 months to decades.\nAnswer: 23880.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**7\/1050 + 29*q**6\/600 - 31*q**5\/50 - 9*q**4\/5 + 14442*q**2. Solve a(s) = 0 for s.\nAnswer: -1, 0, 12, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25 less than -9.71747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 30 = 2*r, 3*i = -2*r - 35 + 10. Let a be (-4 + -10)*r\/2*-3. Is (-30)\/a - ((-2322)\/7 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:14 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/4*-254 + (-18)\/12. Let l = -992 + q. Let w = 2776 + l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -15*q**2 - 40*q + 6. Determine x(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = -5*m - 43, 4*m = -3*h - 38. Let c be h\/(-2) + 30 + 6. Suppose -q + c = 3*f, 5*q = 5*f - 27 - 58. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9135 and 21245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 2*l**3 + 1 - 2 + 1 + 4*l + 1 - 2*l**4 to r + c*l**2 + k*l**4 + f*l + v*l**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96237 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -18*p**3 - 26*p**2 - 135*p - 12. What is the hundreds digit of f(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160232 a multiple of 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43c (base 16) to base 15\nAnswer: 4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(0*m**2 + 28*m**2 - m**2 + 8*m**2).\nAnswer: -105*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12766483.6 + -1313?\nAnswer: 12765170.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 4*z**2 - 6 + 21*z - z**2. Let o(b) = b - 6. Let h be o(-6). Is 8 a factor of k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.1. Let z = 37 + -184\/5. Let f = -65 - -66. Which is the smallest value? (a) f (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39 - (-3)\/(-3)) + (19 - 20). Suppose -16*i - u = -5. Put -1, i, -6 in decreasing order.\nAnswer: -1, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 - 5*u**3 + 10*u**3 + (2 + 2 - 3)*(-2 - u**3 + 2) - 2*u**3 - 14*u**3 - 20*u + 22*u as t*u**2 + l + a*u**3 + o*u and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2, 0.00819?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -17 - (-19 + -13 + -26).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -39. What is the lowest common multiple of 20 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10263821, -20527644, -30791471, -41055302, -51319137, -61582976, -71846819?\nAnswer: -82110666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*2\/3*(70\/5)\/(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6828*u - 317568 = 6669*u - 1698*u - 93387 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**2 + 2 - 2)*(-225 - 208 + 445)*(-1 - 3*m + 1).\nAnswer: 288*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50827934?\nAnswer: 2, 25413967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -18.1979 (b) -3\/2 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4097, -4097, -4095, -4091, -4085?\nAnswer: -4077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1626 and 73983?\nAnswer: 147966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.791886 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4 - ((9 - 12) + 2)) - 26.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.168 + -1.832. Let z = 1.9 + -2. Which is the closest to z? (a) h (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + z - 3*z)*(1 - z - 9*z**2 - 8*z**2 + 14*z**2) to the form c*z + r + k*z**3 + a*z**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 5. Let d(t) = 4*t - 6. Let o(x) = -4*d(x) - 5*u(x). Let j = -240 + 238. Let k(l) = l**2 + 4*l + 2. Determine j*k(q) - 6*o(q).\nAnswer: -2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 5*k**3 + 0 - 7*k + 3*k**3 to z*k**3 + t*k**2 + f*k + m and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (12 + -9 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -6 - 16*-34. Let t = -27 + z. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9530843 rounded to three dps?\nAnswer: 3.953","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -119\/2. Put -5, 4, g in decreasing order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*g + 1610*g + 329935 = 72*g - 1676*g for g.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 54*q + 19. Calculate u(27).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7962 >= -7965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + (-56)\/48. Let k = 0.4 - 0.4. Which is the closest to k? (a) m (b) 3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.6, 2, -0.1, -2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 27 = 30 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1288, -0.3, 0.13, 1, 0.0172?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-15)*-1*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/2 - (6\/(-4) + 561\/(-66)). Let p(h) = -h**2 + 1. Let z(n) = -2*n**2 - 6. Give i*p(r) + z(r).\nAnswer: -5*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + (-910)\/(-75))\/(-8 - (-12)\/15)?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*p + p**4 + 4*p**4 + 3*p wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phrppraohphihhrrha. What is prob of picking 1 o and 1 p?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 18 = -h - 0, -3*h - 4*p = 11. Which is the closest to 0.5? (a) h (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 138, 4 in increasing order.\nAnswer: 0.5, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k - 128*c - 19*c = -56*k - 199 + 56, -15 = -5*k + 5*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95\/14 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 24. Let o(q) = -7*q**2 + q - 5. Let y(f) = 3*f**2 - f + 2. Let b(g) = -2*o(g) - 5*y(g). Let x(t) = -2*t**2 + 7*t. Determine j*b(u) - 6*x(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6377014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2846076 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8*b = -2*i + 4, -4*b = 5*i + 18. Let o be b\/19 + (-680)\/(-323). What is the greatest common factor of 46 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.31 (b) 3\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -219. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -864*q**3*x - 2*q*x**2 + 1803*x**2 wrt q?\nAnswer: -2592*q**2*x - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.733 and -42.\nAnswer: 72.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (2 + 2*sqrt(162))**2 + sqrt(162) + (sqrt(20)\/(sqrt(10) + sqrt(30)\/sqrt(3)) - (sqrt(2) + sqrt(12)\/(sqrt(6)*2)))**2 + -3.\nAnswer: 90*sqrt(2) + 651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1265 less than -5?\nAnswer: -4.8735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352695984.\nAnswer: 2, 17, 61, 81527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 96810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/9 - 375*y**4 + 37453*y**3\/9 + 701647*y**2\/9 + 841040*y\/3 + 1862300\/9 = 0.\nAnswer: -3386, -5, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40716 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 85 + 1201 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -336 - -340. Solve -2*x**3 + 145*x**t + 60*x**4 - 48*x**3 - 20*x**5 = 0.\nAnswer: 0, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/15 in 0.7, 2, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b**4 + 73 + 11*b**3 + 88*b**2 - 46*b**2 - 42*b**2 wrt b.\nAnswer: -20*b**3 + 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 less than -704562.82?\nAnswer: -704562.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2268 * -0.1.\nAnswer: -226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7975 to the nearest 100.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**4\/6 + r**3\/2 - 2*r**2. Is z(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 1, 0, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*h + 20, -2*f + 0*f = 2*h. Let y = -13195 + 13201. Which is the third biggest value? (a) y (b) -2\/13 (c) f (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z. Let g(n) = -12433*n. What is g(h(c))?\nAnswer: 99464*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 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: b\"What is the pth term of -25014, -25025, -25042, -25065, -25094?\n\"Answer: -3*p**2 - 2*p - 25009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -3 + -9 + (16 + -8 - 23)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 526 * -120812.\nAnswer: -63547112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 85\/4 - (2 + 7\/(-4)). Let k = 43\/2 - o. Let p = -53\/93 - 3\/31. What is the nearest to 2\/7 in 5, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.5936 * 272.\nAnswer: -3697.4592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -176, -179, -182, -185, -188?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 78a2 + -2202?\nAnswer: 56a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1. Let a(m) = 453*m - 6. What is -a(q) - 6*n(q)?\nAnswer: -453*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 1. Let n be t(2). Suppose 4*s - 20 = n*s. What is the greatest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -165 (c) 1 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 94 = -266. Let r = a - -15. Solve -3*s + 15 = r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8)*4)\/(9\/4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 1\/2, -0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(-9*37\/6327)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -3*w**5\/40 + 137*w**4\/8 - 1120*w**3 - 11025*w**2 + 3172*w. Factor s(a).\nAnswer: -3*(a - 70)**2*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -5*sqrt(19)*-1 + (sqrt(19) - (sqrt(19) + 3)*-6).\nAnswer: 18 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37816 + -605105\/16. Find the common denominator of l and (-6)\/80*26\/(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 480 - 408. Suppose -20 = -f*m + 70*m. Solve 0 = 9*q - m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6760276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + y + 4. Give c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 - 114*v**4 + 2307*v**3 - 14646*v**2 + 39456*v - 38880 = 0. Calculate v.\nAnswer: -54, 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 3*q**2 - 4*q. Let n be g(4). Let w be (160\/(-520) - (-164)\/26) + -4. Solve n = 2*u - x - 5, -6*u = -w*u + 3*x - 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 45*c**3 - c**2 + 1. Let n be i(1). Let z be (1\/(-5))\/((-9)\/n). Let v be z - ((5 - 3) + -1). Solve v*s = 5*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 152*h**2 - 797*h - 61. Calculate b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/846)\/((-3)\/12). Let k = l - 1706\/2961. Let i = -2.5 - -3. Which is the closest to 1? (a) i (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -32. Is 21 a factor of (1888\/s)\/((28\/(-3))\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 491, 5, -2 in increasing order.\nAnswer: -2, 5, 10, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14562 - -14596. What is the greatest common factor of w and 799?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/60 - 13*x**4\/6 - 58*x**3 + 192*x**2. Let y be c(-6). Find l, given that y - 10\/3*l + l**3 + 13\/3*l**2 = 0.\nAnswer: -5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let t(l) be the third derivative of -13*l**8\/20160 - l**5\/5 - 17*l**2. Let g(d) be the third derivative of t(d). What is v(g(o))?\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 7*a**2 + 2*a**2)*(2*a + 2*a - 6*a)*((0 + 4 - 5)*(2 + 2 - 2) + 1 - 2 + 0 + 3 - 2 - 3 - 32 + 55 + 97).\nAnswer: 1150*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 61929.06.\nAnswer: -61929.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 61*p**3 - 2. What is x(1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*q + 12 = -5*u, 0 = 3*q - 5*u - 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6133, 10069, 14011, 17965, 21937, 25933, 29959, 34021?\nAnswer: 38125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 846571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10*j + 10 = 0. Suppose -h - 62 = -2*h + 3*x, j*h - 134 = x. Let t = 131 + h. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 - 7*d**2 - 6*d + 7. Let i(b) = 426 - 6*b**2 - 420 + 4*b**3 - b - 4*b. Suppose -7*c - 25 = -2*c. Calculate c*h(r) + 6*i(r).\nAnswer: -r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 54517, 3, 7\/5?\nAnswer: 54517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3346863850 and 1705.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13778952 and 912.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26865 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45735*v - 91485*v + 45775*v - 4 + 0 + 4.\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93654?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234) + -2*sqrt(234))*5*3)\/((sqrt(144) + -2*-3*sqrt(144))\/sqrt(8)).\nAnswer: -15*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -1\/4, 2.21, 4, 0.5, -1?\nAnswer: 2.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 26 + 26)*(41 + 55 - 1).\nAnswer: 665*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1, 367 in descending order.\nAnswer: 367, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 1, m: 3}. What is prob of picking 1 z and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7393*f**2\/4 + 73931*f\/2 + 10.\nAnswer: (f + 20)*(7393*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -52\/3. Let j = 3\/232210 - -2322091\/696630. Solve -z*f**2 + j*f - 25\/3 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 215\/(-2)*(-822)\/685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1608685 = 67*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -14. Let z(w) = -w**2 + 7*w + 19. Let r be z(c). Sort 3, r, 2.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135223885 - -135223878.0000001. Let u = 7 + r. Round u to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 1, g: 2, w: 2, y: 1}. Give prob of picking 1 w and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 1125377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 3. Let j(o) = 4*o**2 - 3*o**2 - 4*o**v. Let p(b) = b. What is j(p(d))?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 0 - 0) + 1. What is the lowest common multiple of (j - -1) + 6 + -2 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/88207 and 33\/70?\nAnswer: 882070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**2. Let c(h) be the second derivative of 1\/6*h**4 + 0 - 35*h + 0*h**2 + 0*h**3. What is r(c(k))?\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 2. Does 9 divide (-304)\/(-22) + k\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 50*g - 68 = 133*g + 53, -7 + 1 - 2 = -2*j - 5*g for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, s: 5}. Give prob of sequence si.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11211130300 - 2?\nAnswer: -11211130302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 807127973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 625 + -630. Which is the nearest to 2\/3? (a) 18\/11 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 34*c - 1. Let u be f(-2). Let h = u - -101. Let j be 2\/4 + 62\/4. Calculate the highest common factor of h and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*w + 278 = 0, 46 + 96 = 3*j + 3*w - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 159*h**2 + 31 - 41 as x + a*h**2 + t*h and give a.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*h**2\/7 + 1082796*h\/7 + 270700\/7.\nAnswer: -4*(h - 67675)*(4*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 44, 152, -2.\nAnswer: -2, 5, 44, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/8 and -1.5501 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 19*u**2 - 839*u + 140. Let n be l(44). Sort 0.31, -0.3, -1\/5, n, 0.4.\nAnswer: -0.3, -1\/5, 0.31, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q - 54. Let x be m(-7). Suppose -x = -4*h - 18. What is the remainder when (h - (-34)\/8)*148 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a76 - 18a9?\nAnswer: 11bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1970.\nAnswer: 7880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 57*p**3 + 26*p + 2*p**4 - 27*p - 21*p**3 to w*p**3 + u*p**2 + t + z*p + y*p**4 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 4*z**2 + 7*z + 1. Let y be s(5). Suppose 10*c - 1 = -y. Put -5, -13, c in decreasing order.\nAnswer: c, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 321.1 + -320.6. What is the closest to -57\/4 in 2\/9, -5, l, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*o**3 + 696*d*o**2*t**2 + 2*d*o*t**2 + 55*d*o*t + 49*d*t - o wrt o?\nAnswer: -12*d*o + 1392*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 6. Let z be v(-2). Let x = -17 + z. Let y(l) = l**2 + l - 4. Let g(d) = -d. Let f(j) = -5*g(j) + y(j). Calculate f(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 33\/7, 1107102, -4 in decreasing order.\nAnswer: 1107102, 33\/7, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 124087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.23915994 - -11188579\nAnswer: 11188579.23915994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5930 - -23713. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (-11 - (-26 - 9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105483356 - -5\nAnswer: -105483351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 21*q**2 - 17*q + 152. Let f be x(-11). What is the greatest common divisor of 300 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28.219 and -350.\nAnswer: 9876.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37084 - 4641*y + 18543 + 18541.\nAnswer: -4641*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14*18\/(-12). Let y be 0 + 1 + 9\/(-11). What is the smallest value in 2\/17, p, y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y. Let i(p) = -4*p**2 + 5*p. Let m(c) = -2*c**2 + 3*c. Let f(v) = -3*i(v) + 5*m(v). Give f(x(q)).\nAnswer: 200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**2 - 2*f - 2. Let s(g) = -g**3 + 19*g**2 - 5*g - 5. Calculate 2*s(i) - 5*z(i).\nAnswer: -2*i**3 - 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1294048.242729 + -1150587.2248089. Let p = c - 143461. Let f = p + -0.0179. What is f rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136.5094*64.\nAnswer: -8736.6016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 29, -2\/13, 3, -105?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (14 + -8 - 30) - -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/12 - 5*s**3\/6 + 3*s. Let m be l(-5). Sort 2, 3, m.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3097*m + 69 = 3101*m - 24, -33*u = 3*m - 105 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 30 + 16 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 * 0.9\nAnswer: 0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + 22230 = -8024. Are -2161 and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c - 4*m, 3*m - 8 = -c + 4*m. What is the remainder when 16 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 + (-15616)\/448 - (-16)\/(-14)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*9097.\nAnswer: -36388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*z + 390*z = 44 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -18*y. Let x(f) = -5*f + 2256756. Determine x(g(b)).\nAnswer: 90*b + 2256756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496583023 is divided by 5364?\nAnswer: 5359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 + 238276*c**2\/11 - 7087152120*c\/11 - 582749744400\/11.\nAnswer: -2*(c - 59610)**2*(c + 82)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300832 by -1343.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-66))\/((-100)\/(-2925)*39*(-2)\/12)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*q - 15, q - 10 = 5*b + 3*q. Suppose 0*d + 2*d = -v - 1, b = -v + 5*d - 1. Which is smaller: v or -6\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Suppose -l*q = -o - 8, o + 11 = 3*q + 1. What is the remainder when ((-4)\/(-8))\/((-1)\/o) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971826 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2 - (-147728)\/(-21))*6\/5)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -782*t + 344?\nAnswer: -782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(88)*-2)\/sqrt(11) + 1 + sqrt(1152) + -5.\nAnswer: -9 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1039 - -1041. Which is the third smallest value? (a) -2\/9 (b) l (c) -3 (d) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22095 and 672188820?\nAnswer: 7365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 2209, 5137, 9257, 14569?\nAnswer: 21073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*j + 5 - 3*j**3 - 2 + j**4 to the form u + q*j**4 + y*j**3 + g*j + h*j**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/136)\/(15\/(-24))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b4b2 (base 13) in base 4?\nAnswer: -110002332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:37 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i + 252. What is h(-29)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1653\/10 + 13449\/80. What is the common denominator of -65\/124 and s?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 2*u**2 - 2*u**2)*(167 - 270*u - 171*u - 171).\nAnswer: -441*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 120403 - 240503 + 120358.\nAnswer: -o**2 + 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 4.04. Let m = 79400 - 79402. Which is the second biggest value? (a) t (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8363, 16725, 25087, 33449, 41811?\n\"Answer: 8362*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 4. Let b be j(-15). Suppose v + 6*t = 4*t + 30, -v = -2*t - b. Round v to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 16 = 5*m - y, -2*m - y + 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1406*s - 1523. Determine z(6).\nAnswer: 6913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 12:37 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49dd6 - -3?\nAnswer: -49dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = 2*a - 84. Suppose -91*t + 89*t = -3*d - 291, 4*d = 5*t - 689. Calculate the greatest common divisor of a and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10544 and 57992?\nAnswer: 115984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -7 + 9 + 0 + -2. Let o(n) = -15*n - 2. Let k(b) = 44*b + 7. Calculate m*k(f) - 7*o(f).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7223198 by 2.\nAnswer: 3611599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 14 - 80 - 6*s. Let z(w) = 3*w + 23. Let l(x) = 6*h(x) + 17*z(x). What is l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -26 - (4 - 1 - (28 + -22))) + -56?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - u**2 + 12*u + 67. What is r(0)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0 - 8. Find the second derivative of h - 5*k + 9*k**3 - 2 - 4*k**3 wrt k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-88)\/(-5))\/(4\/(-3)*(-116)\/13920)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006993047 rounded to six dps?\nAnswer: -0.000699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 14*t + 7\/20*t**5 + 0*t**4 - 1 + 0*t**3 + 97*t**2 - 4\/15*t**6. Differentiate u(k) with respect to k.\nAnswer: -32*k**3 + 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9227235 is divided by 58399.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2 + -18 + 2). Is 1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 758059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 + 3*s - 3. Let p be r(4). Suppose -p = -13*g - 27. Solve -k + g = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650178 is divided by 148?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 479257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 52. Calculate the remainder when 63 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002962 rounded to 7 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76880352?\nAnswer: 2, 3, 23, 34819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 23*c**5\/10 - c**4\/12 + c**3\/6 - 2*c**2. Let l be h(1). Suppose 5*u + l = 2*k + 41, -8 = -2*u. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 5*s - 3*d = 1575, 0 = -5*s + 4*d + 1570. Calculate the highest common divisor of 18 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2759.3 - -2759. What is the second biggest value in 5, -0.06, -2, a?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235069130 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 16. Let r = 39 - u. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205 + 201. Which is the biggest value? (a) 1 (b) -0.9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482 + 1482 + 759*v.\nAnswer: 759*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0187*1\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2498406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 957430?\nAnswer: 6702010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-4) + 11 - -4. Suppose r = 3*i, -o + 181 + 130 = 4*i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(3 - 4 - -13). Suppose -x*j + 14*j = -12. Let m(b) = 5 + 42*b - 4 + 5*b**2 + 6 - 49*b. Let y(p) = 4*p**2 - 6*p + 6. What is j*m(q) + 7*y(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -12 - -19) + (-1 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 39*l - 147 = 0. Calculate the remainder when 1636 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = 4*n, 10*o - 5*o - 162 = -3*n. Let g(y) = 49*y**2 - 5*y + 2. Let q be g(-5). Suppose 40*h - q = o*h. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065015 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.91 + -0.09. Let q = y - -5. Let z = 598\/5 + -120. Which is the nearest to z? (a) 0.4 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 0.58 (c) 2\/879 (d) 3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -286*b**5 + 2*b**3 - 1284*b wrt b.\nAnswer: -5720*b**3 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57462 and 37680?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 28. Let i be 97\/(-4) + (-12)\/(-48). Calculate the common denominator of (-59)\/12 + i\/w and -65\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1 (c) 170\/3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4) + ((-1190)\/20)\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09, -12, -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from iuqiquiliuqquhquqkih.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = 5. Suppose 2*t + 2738 = 4*z, -4*t + 778 + 1966 = j*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l = 6. Find the second derivative of l*g + 3*g + 0 + 0 - 4*g**4 wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8348.01404 - 0.01404. Are 0 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 31*b + 332. Let u be y(-39). Let g(m) = m**3 + 2*m. Let f be g(-2). Let z be 24\/u*(-40)\/f. Solve -5*n + 4*v + 6 = 0, -2 = -3*n + v - z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 + 670 + -406 + (117 - -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3127 != -3127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 - 5*s + 1. Let u be w(-5). Let m = 42 - u. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**37 assuming n is positive.\nAnswer: n**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 455191519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 43 + 13. Suppose -5*h - b*a = -4*h - 31, 4*h - 2*a - 58 = 0. Let v be 11\/(-22)*h*-1. Let y(g) = g - 1. What is y(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 8:01 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*i + 5 = 0, -i + 3*i = 2. Which is the smallest value? (a) -1\/6 (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - y + 5, -14*u + y + 20 = -11*u. Sort -2, -53, u.\nAnswer: -53, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.318 + -4.318. Let n = 0.2 - 3.2. What is the second biggest value in 65, n, g, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6490.254 nanometers to kilometers.\nAnswer: 0.000000006490254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130 - 3303?\nAnswer: -3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 14, 88, -3 in decreasing order.\nAnswer: 88, 14, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlh when three letters picked without replacement from hhlhi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 a when four letters picked without replacement from aaagaggaagguuaaaaaaa?\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0152 - 5.0152. Let t = 0.06 + 2.94. Let b = -4 + t. What is the closest to 1 in b, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (39\/(-195))\/((-6)\/(-50)). What is the biggest value in 3, -2\/19, 0, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*n**2*z**2 - 2*n**2 + 3*n*z**2 - z**2 - 173 wrt z?\nAnswer: -116*n**2*z + 6*n*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.64*-0.15.\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 + -215. Which is bigger: 7 or p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17415\/8 - -2174. Let w = -211 - -623. Let z = w + -1627\/4. Calculate the common denominator of m and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrgrvwwwgnrgvgvjvgg. Give prob of picking 1 w, 2 v, and 1 j.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 - 2*i**2 - 6*i**2 - 9*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 37*a - 121. Let h be f(14). Solve -b = h*y + 20, -5*b = 3*y - 8*y + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -27, -21, -13, -3, 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 3*j - 24*j. Factor -j + 4*u**3 + 5*u**2 - 3*u**3 + u**2 - 13*u**3 + 9*u + 3*u**5.\nAnswer: 3*(u - 1)**3*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-6)\/8)*-1. Let f = -35781 - -35781.49. Which is the closest to -1? (a) l (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v**2 + v)*(3 - 2 + 0) + (1 + 0 - 3)*(-3*v**2 - 3*v**2 - 3*v**2).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 9*u - 3. Let b be j(4). Suppose -8*p = -12*p - 3*y + 90, 2*p = -4*y + 50. Solve -4*t - p = -b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2040.77 in -2, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*h = -0*b - 7733, 0 = -5*b - 3*h + 9676. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1291087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240812659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 3*r - 4*r)*(4*r**4 + 3*r**3 + 0*r**3 - 2*r**3) + (-2 + 2 + 3*r**3)*(4*r**2 + 2*r**2 - 2*r**2).\nAnswer: 4*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4)\/(40\/(-1190)) - 11 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4239722 or -4239724?\nAnswer: -4239724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20180418 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*k**3 + 24610 - 24610.\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.88 + -27. Let v = -0.04 - s. Let d = -0.38 + v. What is the second smallest value in d, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100 + 1000?\nAnswer: -1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110010 + -100000111?\nAnswer: 11101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101302 (base 4) to base 10.\nAnswer: -9330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in 3\/5, 2\/13, 16, 40, -1.6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94411314 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51346 + 1?\nAnswer: 51347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -54. Suppose l = 2*y - 46. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 7519044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-6) + (-4)\/(-6). Suppose -h*p + 20 + 8 = 0. Let k(l) = l**3 - 7*l**2 + l. What is the units digit of k(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -77553 and -77438 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 63922*l**2 - 767068*l + 48 = 0. What is l?\nAnswer: 2\/31961, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 12*l**2 + 12*l + 10. Let m(r) = r**3 - r - 95. Let y be m(0). Suppose 0 = -8*j - 12 - 660. Let q = y - j. Calculate c(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 1. Calculate x(96).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11132033 (base 5) in base 4?\nAnswer: 120023022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaaiviigaaaa. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Suppose -3*c - 3 = 3*j, -3 = 4*j + v*c + 3. Let o = 10 + j. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**3 + 2*f**5 + (-2*f**2 + 2*f**2 - f**4)*(3 - 3 + f) + 10*f**2 - 10*f**2 + 12*f**5 + 4*f**5 + 2*f - 2*f - 246*f**5 - 237*f**5 + 487*f**5 - 22.\nAnswer: 21*f**5 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -16542613.8 to the nearest one hundred thousand.\nAnswer: -16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 504031414?\nAnswer: -504031423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164908.\nAnswer: 2, 41227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -1\/5156, -0.3, 2\/11 in decreasing order.\nAnswer: 2\/11, -1\/5156, -0.3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 12*h**2. Let u(k) = 27*k + 100*k**2 + 45*k - 98*k**2. Determine u(j(x)).\nAnswer: 288*x**4 + 864*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43130 - -224?\nAnswer: -42401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41629 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 + -4.87. Suppose 0 = -5*i + 2*i. Let l = 251 + -249. What is the closest to -0.5 in l, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 384\/(-26 - 22) + (-188)\/(-2). Solve -6*q + j = 50 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - 16)*(-35)\/4. Let n = z + -27. Is 212\/n*6\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 + 139 = 5*y - 3*n + 240, -9*y - 633 = 3*n for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v + 50 = 0. Let y = v - 6. What is the first derivative of -5*p + 3*p + 3*p + 3*p - y wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u + 43*u - 27 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057036 rounded to 3 decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*x - 7, 17*s - 14*s = 2*x + 34 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 197.706964.\nAnswer: 138.3948748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 9\/(405\/144) - (-12)\/15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/4)\/((-3)\/(-6)). Put 4, -3, n in decreasing order.\nAnswer: 4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/34 in 0.3, -637, 9, -9, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -4*a - 71 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/4 + 1649099*l + 2719527511801 = 0. What is l?\nAnswer: -3298198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*z = k + 22782, 2*k = z + 11392. Let a = -57021\/10 + k. Calculate the common denominator of 84\/(-28) + (-206)\/(-8) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 4*p**2 + 3*p - 41. Let z(s) = -2*s**2 + s - 2. Give 2*w(d) - 6*z(d).\nAnswer: -2*d**3 + 4*d**2 - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) 9 (c) -1\/6 (d) -2\/9 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86878246 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 801.3104 milliseconds in nanoseconds?\nAnswer: 801310400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7531.28 - 575.7.\nAnswer: -8106.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7) + -2*sqrt(7) + sqrt(7) - sqrt(7))**2*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*m - 44 = 0, -4*b = 554*m - 549*m + 88 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 11*c**2 + 11*c + 9. Let d be f(12). Let p be (-3)\/(-2 - d) + -5. Does 7 divide ((-23)\/(-4))\/(p\/(-32))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16182468092 + 16182468092 + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 902, 898, 884, 854, 802, 722, 608, 454?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 2*o**6\/3 + 3*o**2 + 7. What is the second derivative of g(t) wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 1011101010110000011?\nAnswer: -1011101010110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(176) - -5*(0 + sqrt(176) + sqrt(176) - sqrt(176))) + 0.\nAnswer: 5 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 2*x**3 + 3*x**2 - 8*x**3 + x**3 + 35*x**2 - 34*x**2.\nAnswer: -x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34029 and 3306.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 + 1.06. Let l = c - 0.8. Let x = l + -0.1. Sort 0, x, -1\/2.\nAnswer: -1\/2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 8:47 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 53\/5 of a kilometer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125 - -3?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12105\/4 - 3010. Let q = -110 - -203\/2. Calculate the common denominator of q and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 982 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/641 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (83 - -8) + -51 + (-5 - -27)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 95, 142, 189?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 - 1093 = 164*l - 145 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1476 - 144 = -15*m. Calculate the remainder when m is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11766 + -0.31766. Are 0.2292 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 4. Let p(c) = -3*c + 4. Let s(f) = -3*p(f) - 4*r(f). Let i be ((-165)\/(-297))\/((-5)\/(-3))*(3 - 3). Give s(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4\/7, -2\/5, 1.6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (0\/2 - 0). Let d be 2 - 3 - 17\/(-15). Let m = d + 41\/30. Sort 0.5, b, m in descending order.\nAnswer: m, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 38991.45 hours?\nAnswer: 140369220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - b + 41 + 15 to the form c + d*b and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 168*t - 6795. Calculate y(-68).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -263.1 - -262.9. Sort -7, a, -14 in increasing order.\nAnswer: -14, -7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -428 plus -6?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2093 divide 613629671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 17*l + 19. Give j(-20).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (1*19)\/((-61)\/((-3050)\/65)).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 105820332 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 + 9*v**2 - 30*v**2.\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -600 (base 13) to base 9\nAnswer: -1346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*z**3 + 10005*z + 4*z**3 - 8248*z as a*z + i + j*z**2 + o*z**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 4*b**3 - 3*b**3)*(b - 4*b + 4*b) + b**4 + 3 - 3 + 0 + 0 + 4*b**4 + (-b**4 + 0*b**4 - b**4)*(0 + 0 - 1).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11255*u**6 + 7234*u**2 + 3.\nAnswer: 1350600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -81. Calculate the greatest common divisor of 693 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 = 1. Suppose -476 = 26*n - 19*n. What is the remainder when 31 is divided by n\/(-16)*(z + 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9726 - 4871 - 4868)*(-2*o + o + 2*o) + o + 2*o - o to the form d*o + y and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7 = -2*g - g, 10 = -3*l - 2*g. Let b be 5 - (-3 - l - -2). Let z = 18 - 4. Calculate the highest common divisor of b and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 12:41 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -16, -39, -68, -103?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(228) - (sqrt(228)*-4 + sqrt(228))))\/(sqrt(108)*4))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1656*n = 1526*n + 2358*n + 155806 + 99034 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1125064 (base 7) to base 15\nAnswer: -2bbb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2199, -4396, -6593?\n\"Answer: -2197*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846686187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2640.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kakkaakkbfkkbafcfa. What is prob of sequence kkc?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6564, -6586, -6608, -6630, -6652?\nAnswer: -6674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -64, -114, -204, -346, -552?\n\"Answer: -2*j**3 - 2*j**2 - 2*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 520 - 520.01038. Round a to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t - z - 7, -5*t - 3*z + 3 = 0. Suppose 0*l - l - 8 = 0. Let c be (-14)\/(-70) + 19\/5. Put l, c, t in decreasing order.\nAnswer: c, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 0.03, -2\/3 in increasing order.\nAnswer: -2\/3, 0.03, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u. Let v be z(3). Let h be (v\/(-2))\/(1\/2). Suppose -2*x + 430 = 2*x - 2*d, 0 = -3*x + d + 320. Calculate the highest common factor of x and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5164 is divided by 158?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 708*g - 9*g + 538*g - 270*g**2 + 1389*g**2 + 226*g wrt g.\nAnswer: 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25529960017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 30 = -7*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a + 10. Solve 0 = 4*o + 5*w, 0*w + 4*w - 16 = a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/11 + (-138)\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 20080.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 245260 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 8*b - 88, -2*t = -2667*b + 2663*b + 44 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 596? (a) 6 (b) 2\/11 (c) 0.2 (d) -2 (e) -0.6 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 728*u - 1452.\nAnswer: -(u - 726)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 47. Let w(b) = 423*b**3 - 3*b**2 + 11*b - 19. Let r be w(k). What is r rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -652 (b) -73.7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4 - 3*t + 5 + 2*t. Let s(a) = -70000*a + 10000. Let n(k) = -10000*g(k) + s(k). Let m be n(-3). What is m rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52.2 and -3283.\nAnswer: 171372.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(4))**2 + -1 + (sqrt(425))**2*3)*6.\nAnswer: 7746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44835?\nAnswer: 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16656*f - 150093. What is i(-9)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(-3)\/90 + 1049\/6. Suppose 493 = 3*i + l. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 99\/((-132)\/(-12)) + -7. Solve -i + 2 = -3*d + 3, -m*i - 10 = 2*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1941)\/(-54) - (106 - 74)) + -4\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1340*y**4 - 38*y + 0*y**3 - 1339*y**4 - 38*y - y**3 as s*y + x*y**2 + v*y**3 + o*y**4 + t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 4*c**2 - 4*c - 3. Suppose -i + 9 - 3 = 0. Let n be v(i). Calculate the greatest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 - (2\/(-2) + -15) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 14*f + 2. Suppose 3*u + 7 = -n, 3*u = -5*n + u + 17. Let d(c) = 9*c + 1. Suppose -2*a = m + 2, -4*a = -5*m - 0*a - 52. Give m*d(k) + n*j(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y + 44*y = -1270. Let v = y - -636. Solve 19 = -5*p - v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32189784*g**4 + 855704019 wrt g.\nAnswer: -128759136*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 11*r**2 + 7*r**2 - 5)*(4 - 6 - 4).\nAnswer: -6*r**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -133 + (1 + 12 - 9) - (46 - 57)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10 + 54\/(-12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/100 and 53\/7300?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-70 + 1)) + 2. Suppose -87 = -3*i + 3*q, 4*i - 41 = 5*q + m. Let h = i - 24. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0481 and 2051611?\nAnswer: 2051610.9519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14145480 and 112?\nAnswer: 198036720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0095 + 0.1905. What is the fourth smallest value in 12, 1\/7, x, 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -126 and -24.8.\nAnswer: -150.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/5)\/u))**(-1\/8)*(u*u**(1\/4)*u)\/u*u**(-2\/67)*u assuming u is positive.\nAnswer: u**(5347\/2680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-5 - -4)*158\/6. Suppose 5*o - 5*w - 65 = 0, o + 49 = 5*o - w. Let i = v + o. Round i to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2. Suppose 0 = 4*j + 2*j - 156. Let i(y) = 9*y + 10*y - 14*y + j*y. Give s(i(m)).\nAnswer: 961*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 104, 0.12, -0.2, -7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {z: 1, o: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-40)*n)\/n)\/(((n\/(n\/n**19*n))\/n)\/n) assuming n is positive.\nAnswer: n**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 13) + (-22 - -29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*f**3 - f**2 + 1906*f - 20732051 wrt f.\nAnswer: 99*f**2 - 2*f + 1906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1.5 (b) -1\/2 (c) 2\/9 (d) 4 (e) -112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c. Let u(v) = -2*v. Let b(w) = 6*p(w) + u(w). Let l(t) = -t**2. Determine l(b(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 236 - 169. What is the smallest value in 5\/2, v, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*t + 91 = 11, l + 4*t - 11 = 0. Suppose -3*b + 3*f + 42 = -f, l = 5*f. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 828900 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -660, -2276, -5424, -10614?\nAnswer: -18356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129350, 258750, 388150?\nAnswer: 517550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 31400.\nAnswer: 282600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by -2701621.\nAnswer: 124\/2701621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-66))\/(42\/(-16)*2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 20, 47, 88, 143, 212?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -0.4, 21, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -5402 in decreasing order.\nAnswer: 6, 0, -5402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/240 and -4\/55?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 164443846 and 3.\nAnswer: 493331538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -131, -125, -117, -107?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8.1. Let n = -0.3 + l. Which is the smallest value? (a) -4 (b) n (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:35 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5\/((-15)\/6) - (44 + 7)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 3:53 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 202084119 or 202084118?\nAnswer: 202084119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148 and 2076.\nAnswer: 76812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w - 52. Let o be h(-10). Let m(l) = 3*l - 2*l - 2*l. Let y be m(-3). Put o, 0, y in increasing order.\nAnswer: o, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21928556 less than -21928556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 4*x. Solve 5*y + 4 + x = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 7. Let p be l(8). Let k be ((-9)\/(-6) + p)*-2. Let q(w) = 4*w - 2*w + 1 - w. What is q(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/20)\/21*-6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b - 15. Let x(a) = 1591*a**2. Determine x(r(z)).\nAnswer: 77959*z**2 - 334110*z + 357975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-107061917.\nAnswer: 428247668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4537711 divided by 415?\nAnswer: -4537711\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -6.726 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -13377?\nAnswer: -13376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 - 260*h - 2238. What is t(-41)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 5*h - 4*h)*(-2*h + 2*h - h) + 2*h**2 - 2*h**2 + 2*h**2 + (3 + 2*h - 3)*(2*h - 5*h + 4*h) + h**2 + h**2 - h**2 - 3*h**2 + h**2 + 3*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/13 at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 0. Let m be f*(2\/6 + -1). What is the second smallest value in 2\/9, m, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44070 and 8034?\nAnswer: 4539210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.632 + 20.032. Which is the nearest to -1\/3? (a) q (b) 192\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 37 = -10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f + 3*g, -3*f - 3 = -3*g - 6. Let z = 19 + -7. Suppose 0 = -2*n + 4*n - z. Which is smaller: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*o**4 - 9*o + 57*o**2 - 57*o**2 - 12*o wrt o.\nAnswer: 348*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000108791068 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*o + 16. Let d = -265 + 296. What is the remainder when d is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n)**(-1\/8)*n**(-8)*n*n*(n**5*n)\/n assuming n is positive.\nAnswer: n**(-47\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 19. Let c(y) be the first derivative of -63 + 0*y**2 - 2\/3*y**3 + 0*y. What is c(g(l))?\nAnswer: -8*l**4 + 152*l**2 - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/(-4))\/(-5 - -3). Which is the second smallest value? (a) 5 (b) q (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-2) + (-10 - -4))\/(-6). Let t = -14.6 + 14.9. What is the nearest to -2 in -5, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*y**3 + 7011904\/9 - 1165120\/3*y - 588*y**2.\nAnswer: -2*(y - 2)*(y + 1324)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -107. Suppose j = 4*t - k, -t + 4*k - 3 = 2. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4 (c) 21.83 (d) 16 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-22\/7))**(-8\/17) assuming f is positive.\nAnswer: f**(176\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-30)\/6*-1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 27*o + 72. Calculate m(-15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, w: 2, z: 2, t: 1, h: 1}. Give prob of picking 1 y, 2 w, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-918))\/((-1192)\/2533)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12143*t + 2222177. What is y(-183)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:28 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19079 (base 15) to base 14.\nAnswer: -217bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:33 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c + c - 8 + 5*c)*(c - 4 + 0*c + 0) + (-c + 5*c - 3*c)*(-3*c + c + c) - 5*c**2 + 2*c**2 + 2*c**2.\nAnswer: -4*c**2 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4. Let y = s + 1. Let k be (-2)\/(-8) - (-34)\/(-40). What is the biggest value in k, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19366*y**3 + 123*y**2 + 28*y + 1.\nAnswer: -116196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1054393 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*f = 0, -4*f - 1 - 12 = k. Let s = 53 - k. Suppose -v + s = -107. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9190 rounded to the nearest one hundred?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(3*u - 5*u + u + (4 - 3 + 2)*(-u + 4 - 4)) + 8*u - 2*u - 45*u.\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -13, -36, -73, -124?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5260 - 3010. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377245103 by -1.\nAnswer: -377245103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2010002312 - 1131?\nAnswer: -2010010103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 2*z**2 + 51. Let q(m) = -8*m**3 - 9*m**2 - 205. Determine -2*q(y) - 9*x(y).\nAnswer: -2*y**3 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.695927988 - 79\nAnswer: -77.304072012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-68)\/(-10) - 2)\/(9\/90). Calculate the highest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:38 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 24*o - 24. Is l(-12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50*(-6)\/(48\/2)*12\/(-30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvlnvlljvvvlddvlvl. What is prob of picking 1 v, 1 j, and 1 l?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 6 - -36 - 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48593 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1128\/(-7896))\/((((-360)\/147)\/(-5))\/(4\/14)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99242 + 99242.3. Let f = 6.2 + -1.2. Which is the smallest value? (a) k (b) f (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 11 = -5*z + 29, 0 = 2*u + 5*z - 10. Let j(f) = -15*f - u - 6 + 23*f. Is 17 a factor of j(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 21*x - 19*x - 19, -4*x - 7 = -3*q. Suppose x*p - 122 = -3*y + 2*y, -483 = -4*y - 3*p. What is the highest common factor of y and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + 167?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -1569*z**6\/2 + 6935*z**3\/3 - 10422. Find the third derivative of r(w) wrt w.\nAnswer: -282420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3462 divided by -6259?\nAnswer: 3462\/6259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 6, b: 2, x: 2}. What is prob of sequence bp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*c - 2*c. Let q be 8\/c - (-2)\/(-6). Let l be 8\/(-5) - 6\/(-10). Is q at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2602 times 0.3\nAnswer: 780.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15944190 divided by 1594419.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 7. What is the highest common divisor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 7*d - d + 3*d - d**2 - 230.\nAnswer: -d**2 - d - 230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*v + 706790, -2*z - 7*v + 6*v + 353402 = 0. What is z rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t**2 - 10*t + 5. Let c(f) = -7*f**2 + 8*f - 4. Let q(h) = -5*c(h) - 4*z(h). Let i(y) = -108*y**2. Determine i(q(l)).\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/10 - 2)*(-25 + 55). Suppose f*p = 7*p - 2090. What is p rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1376, -2753, -4132, -5513, -6896?\n\"Answer: -r**2 - 1374*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*p = 10*p + 16470, 4*w = 5*p + 13170. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - 1) + -1 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 1:56 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**(-1))\/r))**33*(r\/(r*r*r*r**(2\/3)*r))**(-46))**(-13) assuming r is positive.\nAnswer: r**(-6578\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 + 978*z\/5 + 3896\/5.\nAnswer: (z + 4)*(z + 974)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 116 = 101 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*d**3 + 2134755*d**2 - 28037736*d + 92103132 = 0. What is d?\nAnswer: 46\/7, 14509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4 - 6*f**3 + 6*f + 3 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7542 + 649. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 = 13. Let u be (-10)\/(-4)*(-8)\/(-10). Let x = u - a. Let d(z) = -7*z**3 + z**2. What is d(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 31 = -g - 0*g + 57 - 45, -4*g = -5*r + 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 12 + -6 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let s = 3.4 + -2.3. Let m = -0.1 + s. Put 2, m, n in increasing order.\nAnswer: n, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**6\/75 - w**5\/5 + 23*w**4\/6 - 16*w**3\/3 - 204*w**2\/5 + 2*w - 169. Suppose n(y) = 0. What is y?\nAnswer: -17, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c + 0 + 2 = 2. Let x(h) be the first derivative of -6*h + 0*h**3 - 6 + c*h**4 + 0*h**2 - 16\/5*h**5. What is the first derivative of x(m) wrt m?\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 2, r: 5}. What is prob of picking 1 c and 1 d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 11*v)*(1 + 3 + 1) + (-1 + 1 - 2*v)*(-1 - 2 + 4) - 12*v - 7*v + 18*v to the form o*v + x and give o.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-2*c + c - 2*c)*(1 + 55*c + 96*c - 240*c - 416*c).\nAnswer: -1515*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 11.04. Let t = x + 0.04004. What is t rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/6)\/(220\/60)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 21*c + 606. Let s be x(-29). Sort -8, 0, s, 9 in descending order.\nAnswer: 9, 0, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 8. Let x = g + 60. Which is bigger: -0.05 or x?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (65 - -5) + -34 + -54 + 119\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, t: 2}. Give prob of sequence tkt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3611 - -3700. Let i(c) = -39*c**2 - c + 2. Let o(k) = 20*k**2 + k - 1. Let d(z) = -4*i(z) - 7*o(z). Calculate the remainder when n is divided by d(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 5. Let v = -1.037 - b. Round v to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34647, 34492, 34337, 34182, 34027, 33872?\nAnswer: 33717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 343.937 tonnes?\nAnswer: 343937000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = 8. Suppose -g = -k - 40. Is (228\/10)\/(18\/g) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 + 13*r - 20. Let w(a) = 14*a**2 + 37*a - 61. Let o(x) = -11*s(x) + 4*w(x). Let h be o(-8). Solve 4*v + h*v + 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 2:54 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3221100 (base 5) to base 3.\nAnswer: 2202210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 128?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 84. Let v = g - 27. What is the remainder when 4 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/12 - z**3\/6 - 9*z**2\/2 + 15*z. Let x be g(-4). Suppose -x = f - 136. Calculate the highest common factor of f and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167315 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 12) to base 16.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(-2)*c*c))\/(c\/(((c\/c**(-1))\/c)\/c*c)))\/(c**(-1\/3)*c)**(-25\/2)*(c**(4\/7)\/((c*c*c**1*c)\/c*c))\/(c**6\/(c*c\/(c\/c**(1\/6)))) assuming c is positive.\nAnswer: c**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -499 - -508. Let a(z) = z**2 + 2*z - 2. Let o be a(-3). What is the lowest common multiple of s and o + -1 + (3 - -39)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49556347?\nAnswer: 5743, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*r**3 + 5*r**3 + 5*r**3 + (-1 - r + 1)*(4*r**2 - 4*r**2 - 3*r**2) + 2 + r**3 - 2 + 4*r**3 + 0*r**3 - 3*r**3 - 2 + 2 - r**3.\nAnswer: 26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*c + 415 - 289 = 3076 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*f + 5*f + 455 - 336 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -44. Let p = -0.7 + -4.4. Let s = p - -0.1. What is the second biggest value in -0.2, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:27 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -23, -15, -7, 1, 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -545140 - 24?\nAnswer: -545204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 2 h when four letters picked without replacement from {h: 4, k: 4, p: 8, s: 3}?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 18 = -6*a. Suppose 3*w - 2 + 12 = -5*b, 0 = a*w - 3*b - 6. Suppose i - 11 - 1 = w. Solve 5*f + i + 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -102*y**4\/5 + 77212*y**3\/5 + 79034*y**2\/5 - 153112*y\/5 - 3032\/5 = 0?\nAnswer: -2, -1\/51, 1, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(-3*5\/(-90))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34868208121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 173.\nAnswer: -172.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/6652 >= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205 + 208. Let p(j) be the first derivative of 2\/3*j**n + 5 + 0*j + 0*j**2. Let o(i) = 2*i. Give o(p(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123834 or -2002?\nAnswer: -2002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 6 = 0. Let p be 0 - (-11 + 0\/x). Let o be (-1 + 2 + -2)*-77. What is the greatest common divisor of p and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 90\/22 - -2. Let c = 4\/57 + -14\/19. Is c at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + (11 + -11 - (-14 - 0)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 7*b**2 - b + 12. Let o(j) = -j**2 + 23*j + 7. Let r be o(23). Let p be t(r). Let h be 21\/9 - 2\/6. Solve h*q + p - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4840.109 - -4840. What is the third smallest value in -0.1, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 4*x**5\/5 - 40*x**4 - 172*x**3\/3 + 164*x**2 - 1558. Factor p(a).\nAnswer: 4*a*(a - 41)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48565 (base 10) to base 16\nAnswer: -bdb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwoowwwpwowo. What is prob of sequence wwp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79312\/3 + 26438. Let 2\/3*s**2 - q - 2\/3*s + 2\/3*s**3 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273 + -123. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*3)\/sqrt(5) - (sqrt(243) - (4*sqrt(243)*4)**2).\nAnswer: 21*sqrt(3) + 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*t + 7 = -m, -158*m + 159*m - 2*t + 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -4294319.400109?\nAnswer: 4294319.000109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28579 or -28587?\nAnswer: -28587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 11*d - 8*o + 24 = 0, -38 = -2*d - 8*o + 2*o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) 5 (c) -1\/5 (d) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 688383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*u - 50. Let s(z) = 4*z - u*z + 7*z. Calculate s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1285.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -84*w - 2. Let h(f) = 17*f + 9. Give h(q(i)).\nAnswer: -1428*i - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.040611 and -7995.5.\nAnswer: -7995.459389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u. Suppose 0*x + 6 = 3*q - x, 4*x - 3 = 3*q. Let z(i) be the first derivative of q - 1\/3*i**3 + 0*i**2 + 0*i. Calculate w(z(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3801444222 + -4.9371.\nAnswer: -3801444226.9371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-7\/4)\/((v**(1\/6)*v*v)\/(v*v**0*v))*((v*v**(-1)*v)\/v)**(2\/87)*v**(1\/3)\/(v*(v*v\/((v*v**1)\/v*v))\/v) assuming v is positive.\nAnswer: v**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/7 - 4\/7*i**2 - 5\/7*i = 0. What is i?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25145 less than 8.27?\nAnswer: -25136.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -44 in decreasing order.\nAnswer: 5, 3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435399934 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8402 - -15505. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -40485919\nAnswer: 1\/40485919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 20 = -2*r, -4*r + 20 = -r - 4*j. Which is smaller: 9\/14 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**5\/a))\/(a\/(a\/(a**7*a*a))*a)*(a**2)**(9\/7)*((a*a**(-5\/2))\/a)\/(a*(a\/a**(-1))\/a)*a**(-7)\/(a**4\/a) assuming a is positive.\nAnswer: a**(-363\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 300023b - -a?\nAnswer: 3000249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5234825.\nAnswer: 5, 209393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, -2\/15, -933?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4211 (c) 1\/9 (d) -1000\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 783192567 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i**4 + 0 - 4\/135*i**6 + 0*i + 106*i**2 + 0*i**5 + 1\/945*i**7 + 0*i**3. Determine c, given that k(c) = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2333112 (base 5) to base 7\nAnswer: 236044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Let m(b) be the third derivative of -19*b**5\/30 + 32*b**3\/3 + 134*b**2. Let h(o) be the first derivative of m(o). Give l(h(z)).\nAnswer: 5776*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.2 - 1.8. Which is the third biggest value? (a) -0.5 (b) 1 (c) g (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64*((-3600)\/(-45))\/80?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 10*v**2 + 14*v + 8. Let r be w(12). Let u be (r\/84)\/(1\/(-39)). Is 0.1 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 2}. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 35 - 74 - 28*u**3.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*b - 14575, 4*k + 10877 + 7340 = 5*b. What is the highest common factor of 356 and b?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 1 - 1\/8*r**4 - 1\/3*r**3 + 1\/4*r**2 + r. Suppose n(t) = 0. What is t?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = -3*l, -4*m - 11 = 2*l - 7*l. Let o = 3 - m. What is the second derivative of 23*h - 4*h**5 - 25*h - h**2 + h**o wrt h?\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*((-2*c + 3 - 3)*(-1 + 1 - 5) + (-3 + 2 - 4)*(-37*c + 72*c + 90*c)).\nAnswer: 1230*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18142 is divided by 288.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 4*f**2 - 9. What is the remainder when 126 is divided by s(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 145 and 87.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - 3) - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, i: 3, y: 2, x: 2, t: 1}. Give prob of picking 1 t, 2 x, and 1 z.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 203*o**2 + 10*o + 2. Let d be i(-1). Are d and 182 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1704?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/7 (c) 1 (d) -10 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4\/7 + 8*l**3\/7 + 4*l**2\/7 - 24*l\/7 - 18\/7 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.8 - 5.2. Let d = p - -47. Let s = -23 + d. What is the third biggest value in 5, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, s: 2, y: 5}. What is prob of picking 1 p, 1 s, and 2 y?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -480 + 483. Suppose 47*s - 42*s = -4*r - t, -2*s - 9 = -r. Solve -r*z - 3 = 0, -z = 4*l - 5*l - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -318?\nAnswer: -2544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h + 1 + 27 + 11*h**2 - 6*h**2 + 7*h**2 wrt h.\nAnswer: 24*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 54*s = 5, 43 = 2*h + s. Suppose -25*q = -26 - h. Solve -3*f - 4*b - 4 = 0, -q*f + f + 4*b + 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.039 - -0.04008. What is n rounded to 5 dps?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1892\/(-20) + (775\/75 + -10)*9\/5.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39228266 to the power of 1\/2, to the nearest integer?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3597 - -3539. Which is greater: -52 or a?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129.8 + 5.8. Let q = j - -153. Let g = 0.6 + -0.6. Sort -1\/3, q, g, 0.4 in ascending order.\nAnswer: -1\/3, g, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/45)\/((-7)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135.5492 kilograms to milligrams.\nAnswer: 135549200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 - 37*b - 3. Let q be a(11). Find the third derivative of -180*u**4 + 128 + 4*u + u**2 - 5*u**3 - 3*u - u + q*u**4 wrt u.\nAnswer: 360*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.5238 centuries in decades?\nAnswer: 5135.238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 43?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 24058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-15) - 3)\/(145\/50 - 3).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 17 = 2*l - 12, 5*l = -n + 77. Let d = -21 + 87. Let y = d - 19. Calculate the remainder when y is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 97.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003169 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 + 15.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -12. Let g(b) = -b**3 + 6*b**2 - b - 7. Let f be g(u). Calculate the greatest common factor of f and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52243340, 52243339, 52243338?\n\"Answer: -z + 52243341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = -36*x + 44*x. Is (-1 - -5) + 384342\/(x\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2 + 50*t - 5413. Is g(74) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -47f5 (base 16) to base 12\nAnswer: -a7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c**3 - 52288*c**4 + 2*c**2 + 26105*c**4 + c + 2 + 26082*c**4 in the form v + l*c**3 + n*c**2 + z*c**4 + q*c and give z.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(5) + 1 + sqrt(5)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 12*u - 7*u. Let d = -18 + u. Let m be d\/(-2)*7\/105. Are -1 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461454 divided by 4.\nAnswer: -230727\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(112)*5)**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1457 - 4467 + 1412 + 2*z**2 + 1511.\nAnswer: 2*z**2 - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209.8 - 1588.8. Let y = i + 1366.62. Round y to 1 dp.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7634 + 97283 + 27273 = -2998*a for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 2. Let o(v) = 12*v + 11*v + 12*v - 32*v. Give l(o(n)).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 8. Let s = 15 + f. Which is the nearest to -0.1? (a) 0.3 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 10*v + 989 - 17*v**3 + 19*v**3 - 992 to b*v + f + t*v**3 + w*v**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 8:54 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43\/2 of a minute?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbrhherrrhbbrrbbhb. What is prob of picking 1 e and 1 h?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (9\/21)\/(3\/(-21)). Let f be (-5)\/15 + (-29851)\/(-3)*y. Round f to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6739, -6740, -6741?\nAnswer: -6742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -55. Suppose 3*t + 6*f = 5*f + 4, 0 = d*f + 10. Factor 2*s + 161*s**2 + 0*s - 84*s**2 - 80*s**2 + s**t.\nAnswer: s*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21272 is divided by 1329.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*x - 7 = 3*x, 5*l - 25 = -5*x. Let a(s) = -3*s. Let f be a(-2). Suppose -f = 2*c - 3*c. Calculate the greatest common factor of c and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:28 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:10 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 5, b: 7, n: 3}. What is prob of sequence zn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = n - 62 + 6, -6 = 2*r. Let y be ((-4)\/(-14) - 1) + 6\/(-21). Is 18 a factor of 3 + (n + y)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190 - -284. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13044964 or -13044995?\nAnswer: -13044995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z. Let j(a) be the first derivative of -a**6\/36 - 7*a**3\/3 + 14. Let p(l) be the third derivative of j(l). What is p(g(n))?\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -858 + 852 + (22 - 0) - (-20 + 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-10) - (6 - (-2 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, 103, 1302 in descending order.\nAnswer: 1302, 103, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -h - 5, -h + 98 = 3*d. What is the highest common factor of 34 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -217, -13 in decreasing order.\nAnswer: -1, -3, -13, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 18 + 2 = 0. Solve 4 - c = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + g + 346 - 374 = 3*i, -8 = 4*i for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 124*g**3 + 4*g**2 - 8*g + 43. Let h(t) = 81*t**3 + 3*t**2 - 6*t + 29. Determine -7*h(f) + 5*q(f).\nAnswer: 53*f**3 - f**2 + 2*f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15973, 15970, 15967, 15964, 15961, 15958?\n\"Answer: -3*t + 15976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 65 = 6*s. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:53 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.003371 and -0.5.\nAnswer: 0.0016855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -428.39879 and 0.3.\nAnswer: -128.519637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlk. Give prob of picking 1 h and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 137 = 16*q, 0 = 4*t + 12 - 32 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -12859.1?\nAnswer: 3857.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.2. Let z = 0.3 - -14.7. Let t = 11 - z. Which is the biggest value? (a) t (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 775 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 21 = 4*d. Let q be 0\/(d\/(0 + -3)). Put q, 5, 1 in descending order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*l**6 + l**4*q**2 + 4*l**3*q - 51*l**2*q**2 + 7*l**2*q + 2*l*q**2 wrt l?\nAnswer: -11520*l**3 + 24*l*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -0.0893, 1\/5, 0, 78\/25 in decreasing order.\nAnswer: 78\/25, 1\/5, 0.16, 0, -0.0893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 2*c**2 - 4*c - 3. Let g be o(-2). Suppose 5*x + 20 = 4*x. Let w be (x\/16)\/((-1)\/12). Solve 4*a - f + w = 0, -4 = g*a + 3*f + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 403*q. Let h(j) = -5*j**2. What is p(h(a))?\nAnswer: -2015*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4) + 16 + -25 - -28?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsxlxcuvlccsccvvc. What is prob of sequence vls?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 1\/3, -2.9, 5\/22?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**7\/8820 + j**4\/12 - j**2. Let r(t) be the second derivative of p(t). Suppose r(b) = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646813 to the power of 1\/2, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3938 + 1124 + 1257 + 7275*i - 495 wrt i?\nAnswer: 7275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46676381.59 + -0.8?\nAnswer: 46676380.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 = -4*b + 17, n - 3 = -3*b. Let j = 78 + -73. Solve -q + 5*q = -5*h + 17, 0 = 3*h - j*q + n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m. Let j(l) = -l**3 + l**2 - l + 12. Let v be j(m). Let k = 28 - 15. Solve 0 = 5*u + k + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93339, 372849, 838525, 1490367, 2328375, 3352549?\nAnswer: 4562889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -161, -219, -335, -533, -837, -1271?\n\"Answer: -4*r**3 - 5*r**2 - 15*r - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114 or -125?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/90 - 2\/(-3). Let m = x + 1\/10. Sort m, 1\/4, 3\/7 in increasing order.\nAnswer: 1\/4, 3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021212000222021112 + -1?\nAnswer: -1021212000222021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**4\/12 - j**3\/6 - 10*j**2. Let d(i) = 5*i**3 + 2*i**2 + 2*i + 1. Let f be d(-1). Calculate u(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -1.4?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2. Let q(j) = 1487*j. Give q(a(p)).\nAnswer: -4461*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 3:51 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let t be (-2 + w)\/(-2 - -3). Solve 10 = -t*y + 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*z - 24. Let p(k) = -20*k**3 + 3*k + 2. Is p(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288174200?\nAnswer: 2, 3, 5, 29, 101, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140\/(-30)*(-96)\/2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/29 (b) -0.1 (c) -2 (d) -9 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1761027, -1761184, -1761615, -1762458, -1763851, -1765932, -1768839?\n\"Answer: -23*k**3 + k**2 + k - 1761006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:06 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -97, -4\/3, 175?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19228, -19252, -19330, -19462?\n\"Answer: -27*y**2 + 57*y - 19258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 11. Let y be 0 + 2 - (-350)\/6. Let w = y + -61. Which is the closest to w? (a) q (b) 2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrpf when four letters picked without replacement from rprprfprfwwffrwfri?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2046*f**3 - 4*f**2 + 15*f + 35. What is the hundreds digit of i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 113. What is the highest common factor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640) + sqrt(640) + sqrt(640) + (sqrt(640)*1 - sqrt(640)) + sqrt(640))\/((sqrt(5) + sqrt(40)\/sqrt(8))*-2 + sqrt(5)))**2.\nAnswer: 2048\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -587, 1, -0.3.\nAnswer: -587, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 6*o + 8. Let p be l(-4). Solve -4*r - y + 11 = 0, p*y + 3*y = 4*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxkkxkkkkkk. What is prob of sequence xxk?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182 + 178. Sort 0.2, h, 0, 4.\nAnswer: h, 0, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/201 + 392\/1005. Suppose 0*t + p*t**2 + 0 = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 4*j - 1. Let s(w) = 3 - 1 + 906*w - 1 - 903*w. Determine 3*r(x) + 4*s(x).\nAnswer: 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 50.3. Round j to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1067 = -3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -18*d - 10. Is 10 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173719 (base 12) to base 13.\nAnswer: 110205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**5 + r**3 - r**3 + (3*r - r**2 - 3*r)*(2*r**3 + 3*r**3 - 3*r**3) - 2*r**5 + 3*r**5 + 12*r**5.\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(216\/16))\/(((-2)\/(-1))\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*q + 5*h - 131, 12*q = 16*q + 11*h - 35 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - -6*(-40)\/(-15). Suppose -8*c + 6*c = -f. Let a be (-14404)\/3 + 12\/c. Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-38)\/30*3 - -3)\/(246\/(-10)). Which is the smallest value? (a) 1\/2 (b) g (c) -0.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2860*s + 1596 with respect to s.\nAnswer: -2860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 21. Let n be q(-6). What are the prime factors of (n + (0 - -2))*-53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 - 2*i**2 - i - 2. Let p be u(2). Let b = p - -5. Calculate the remainder when b is divided by (102\/(-9))\/(2\/(-3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (1 + (-12 - -2) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124635762.\nAnswer: 2, 3, 467, 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 217 = -95. Let x(b) = b**2 + 3*b - 4. Let j be x(-5). What is the greatest common factor of j and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 32 = -3*m + 4*j, -2*j = -3*m + 28. Suppose m*w = 2*w - 12. Let s = 7 + w. Is s < -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 126\/(-27) + 1\/(-3). Suppose 5*b + 4*y - 30 = 0, 2*y + 5 = -2*b - 3*y. Suppose b = -3*z + 13*z. Sort w, -3, 0, z in decreasing order.\nAnswer: z, 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - 3) + ((-1562)\/341 + 8 - 0) and -11\/1581.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**4 - 1425136*u**3 - 9074659*u**2?\nAnswer: 48*u - 8550816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3825*m = 3798*m + 1 + 350 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 158370721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 159. Let v = -59 - f. Suppose 0 = -5*o + 161 - 16. What is the remainder when o is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**2 + 29*t - 6. Calculate v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + 6 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -263, -331, -341, -287, -163?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 2*q - 3. Let m be i(4). Let g = 40 + -37. Suppose g*j - 797 = -m*f, 4*f + 6*j = 3*j + 640. What are the prime factors of f?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2199*f**3*u**2 - 17*f**3*u - 803*u**2 - 3*u + 106 with respect to f.\nAnswer: 6597*f**2*u**2 - 51*f**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + (-80)\/(-6). Let n = g - 3. Suppose 5*v = -22 + 47. What is the greatest common factor of v and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 27321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + l**2 + l + 1. Let u(n) = -48*n**3 - 5*n**2 - 5*n - 10. Determine 5*f(c) + u(c).\nAnswer: -53*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 4246380*f**2 - 16985580*f - 16985600.\nAnswer: 5*(f - 849280)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 3 (b) -2 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/3, 1, 2\/88449 in ascending order.\nAnswer: -2\/3, -0.2, 2\/88449, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1) + 0\/10. Suppose 0 = 6*c + 4*c - n*c. Solve c = u - 2*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - 10\/(-4). Suppose 32 = m*f + 2*f. Solve -4*c - 4 = -f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/63)\/(18\/687). Let g = o + 5963\/336. Calculate the common denominator of 51\/(-5) - 1\/2 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4985464 and 15928?\nAnswer: 4985464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:24 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20303, -41212, -62121?\n\"Answer: -20909*j + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n - 43. Let u = 18 - -18. Suppose 2*o + i - 26 = 0, 5*i = -o + u - 5. What are the prime factors of r(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76312141*g**3 + 7*g**2 + 176846658 wrt g?\nAnswer: 228936423*g**2 + 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**5 - 22*o**4 - 1489*o wrt o?\nAnswer: -100*o**3 - 264*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7394 - -7399. What is the nearest to 6.32 in -1\/6, d, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 69. Which is the closest to i? (a) -3 (b) 1\/6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -2*c, 5*c = -5*s + 39120. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -630?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145983777 is divided by 1179.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 - 6. Suppose -2*u + r = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-416)\/352 - (3 + 12)) + -32.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*w - 1. Let v be 22\/(-4)*(1 + w). Let n = v + 8. Is n bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/33387486 and 59\/9105678.\nAnswer: 100162458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9272 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73444 is divided by 208.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -13. Suppose 5*v + t = -0*v - g, -2*v = t + 6. What is the remainder when 2\/1 - 7\/v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 6*s**2 + 3*s**2 + 0*s**2 + s**2 - 3*s**2 + (s + 0*s + s)*(-2*s - s + s) + s - s - s**2 + 5*s - 2*s**2 - 5*s.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let a be 1*(5 + f) - 1. Let q = 0 - a. Which is smaller: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6646.9914ns?\nAnswer: 0.0000000018463865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p - 2. Let x be n(3). Solve 3*u - 7 = -2*z + 4*u, x*z + u + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534.5 rounded to the nearest ten?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -s - 2*w, 26*w - 23*w = -s + 11. Calculate the remainder when 77 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - p**2 + (3*p + p - 2*p)*(2*p - 1 + 1) + (-2*p + p + 0*p)*(p + 0*p + p) as w*p + j*p**2 + b and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2521, -17462, -44807, -84556, -136709, -201266?\nAnswer: -278227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4347.01 rounded to the nearest 10?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*2\/(-4) + 1. Let r(c) = -2*c. Let i(y) = 6*y - 1. Let v(k) = 3*i(k) + 8*r(k). Let p be v(s). Let w(z) = -3*z + 2. What is w(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, q: 1, o: 1}. Give prob of sequence io.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9463, -18997, -28613, -38311, -48091?\nAnswer: -57953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(-4 + 1 + 5)*(-1 + 1 + 1)*(-7*q + 5*q - 15*q) to t*q + w and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 5*g + 6. Let y be z(4). Factor 5*w**4 + 61*w**3 - 9*w - 51*w**3 - 3*w**2 - w - y*w**2.\nAnswer: 5*w*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/(((-16)\/(-9))\/8). Which is the closest to 1? (a) -0.5 (b) 2 (c) 0.4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, 10, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*((x*x**(1\/6))\/x*x)\/x)*x)\/x*x**(-7\/2))**(3\/8) assuming x is positive.\nAnswer: x**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/15)\/((-4)\/(-30)). Suppose l*t = 4*t + 26. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 3824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -218a17 + 5?\nAnswer: -218a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9702 - -9704. What is the nearest to x in -10, 0.1, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**4\/12 - 5*a**3\/6 - a**2. Let r(u) = -6*u - 16. Let c = 7 + -10. Calculate c*r(v) + 10*d(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 129*h**4 - 259*h**4 - 3*h**2 + 138*h**4 + 3 in the form y*h**4 + l*h + f + b*h**2 + u*h**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)*w*w*w**(-2\/21)*w)\/(w\/w**(-1\/6)*w**(-2\/9)) assuming w is positive.\nAnswer: w**(289\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2086*r - 61423. Give v(-29).\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -48. Suppose 2*v + 3*v = 3*d - s, -18 = -3*d + v. Suppose 0 = -d*p, 4*z + 9 = 3*p + 33. Solve 0 = -2*k + 3*w - 4, k = z*k - 3*w + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.582897 rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 5. Let u be l(-7). Let v(n) = 3*n - n**2 - n**3 + 3 - u + 2*n**2. Determine v(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 326\/(-22) - 2\/11. Let t = j - -15. Suppose 2*v - 6*v - 87600000 = t. Round v to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6353, -6361, -6381, -6419, -6481, -6573, -6701?\nAnswer: -6871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**11\/d)\/d**(3\/8))**(-46)\/((d**(-2\/7))**11*d*d\/d**(3\/4)*d*d*d*d*(d\/(d\/d**(3\/4)))\/d) assuming d is positive.\nAnswer: d**(-15025\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(68) + 2*sqrt(68))*2*-6)\/(2*sqrt(196)*-6 - sqrt(196)*1*-4).\nAnswer: 45*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddf when four letters picked without replacement from dfffdddfffdfdffffff?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4\/3 + 400*h**3\/3 - 815*h**2\/3 + 410*h\/3 = 0. Calculate h.\nAnswer: -82, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190.9 + -187.9. Which is the nearest to -7\/4? (a) s (b) -4\/5 (c) 2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -707063*g**2*n**3 - 15*g*n**3 - 2*g*n**2 + 24*g + n**2 wrt g?\nAnswer: -1414126*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732937.\nAnswer: 47, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54675 and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 11*m**2 - 3*m - 2. Calculate n(9).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 + 0*x - 6*x + 4*x**3 + 4 - 3*x**3. What is the remainder when 46 is divided by q(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 4*d + 2. Let w be k(-4). Let h be (-16)\/w*(-2)\/4. Is 2 + 106\/(-2 + h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v + 10 - 4*v - 4*v - 9*v + 0*v in the form i + h*v and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**5 + 424*z**3 + 4*z**2 + 28*z - 4 wrt z?\nAnswer: -120*z**2 + 2544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/43186 and -39\/11627?\nAnswer: 302302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-18))\/(8\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10 and 103\/520302?\nAnswer: 2601510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by -2 + (-246)\/(-10) + (-14 - (-737)\/55).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 5*i**2 - 4*i. Suppose -2*s + 4 = 0, -3*b + s + 10 = -0*b. Calculate h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14) + 72\/(-168).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 8. Let f(y) = y**3 + 6*y**2 + 5*y + 4. Calculate f(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 51*v + 319. Let j be o(-40). Sort 1, j, 6 in decreasing order.\nAnswer: 6, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -618, -645, -688, -747, -822, -913?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 20*v - 1. Determine q(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45\/1637 - -91318\/191529. Calculate the common denominator of x and -38\/91.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 23*p - 25008 = -23*p. What is the remainder when p is divided by 175?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.052 - 0.029. Let n = v - -0.181. What is the closest to n in 0.5, 10\/7, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2339 + 2343. Let v(s) = s + 4. Let k be v(-4). Solve -j*y = 5*o - 29, k = y - 3*y + 5*o - 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1864, -1881, -1898?\n\"Answer: -17*v - 1847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*s - 773*s**3 + 772*s**3 - 10*s**2 - 80*s + 45*s as f*s**3 + y*s + j*s**2 + d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 40 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10437\/8 or -1306?\nAnswer: -1306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 64. Suppose 3*r - 3*j - x = 0, 4*j + 9 + 9 = r. Calculate the highest common factor of r and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*k**2 + 12*k**3 - 14*k**4 - 195*k**2 - 15*k**4 + 22 + 27*k**4 as y*k + a*k**4 + j + n*k**3 + s*k**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15846101.4707 + -15844707. Let m = p - 1459.474. Let j = m - -65. Round j to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76710 and 1050?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11623 and 39164.\nAnswer: 39164.11623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9364177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -7*r + 37. Solve 3*k = -r*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, u: 5}. Give prob of sequence uu.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1447 (b) 0.3 (c) -3\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 7*f**2 - 29*f + 75. What is m(4)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104055067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - 244017.65497676?\nAnswer: -244017.62497676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 3, r: 4}. What is prob of sequence rr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -262 - -30378?\nAnswer: 30116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.402 - 0.40200179. What is w rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 - 154 = 30*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2025 + 2251. Let q = -1559937\/13 - -119769. Let k = q + y. Which is the closest to -0.2? (a) k (b) 5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106428027 a multiple of 2702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 509 divide 653556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90, -173, -254, -333, -410, -485, -558?\n\"Answer: k**2 - 86*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8996660 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.25853 and 80.\nAnswer: 80.25853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110110100 (base 2) in base 5?\nAnswer: -12243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1686*j. Let x(a) = a + 80. Let u(f) = f + 100. Let b(r) = -4*u(r) + 5*x(r). Determine o(b(s)).\nAnswer: -1686*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -154*x + 5. Let w(n) = 359*n - 11. Let p(j) = -7*q(j) - 3*w(j). Let r = 10 - 6. Give p(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12044 and -1150.\nAnswer: 13850600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 566 = -12*t + 9*t, 2*x = 5*t - 934. Calculate the remainder when t is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3 (c) 151 (d) -2\/9 (e) 4550\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 39\/18007438?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3803.92 + -475027\nAnswer: -471223.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32143 + 4?\nAnswer: -32134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -13\/15*n**6 - 93*n - 1\/7*n**7 + 29\/10*n**5 - 2*n**3 + 0 - 7\/6*n**4 + 0*n**2. Find g such that q(g) = 0.\nAnswer: -6, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*m = 9 + 8, 0 = -4*m - 20. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 2)*(-4*o + 7*o + 3*o)*(-2*o**3 + 4*o**3 - 4*o**3) to the form p*o**4 + w + k*o + y*o**2 + v*o**3 and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -888.159 minus -45200?\nAnswer: 44311.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 180492811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -56980 rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12583\/17964 + -3\/499. Let x = s - 1\/36. Which is the third smallest value? (a) -1\/7 (b) x (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 2*i, -i = -0*i. What is the hundreds digit of ((0 - -235) + -2)*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1160387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -19 + -16 + 21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3325 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 18 = 6*j. Let h be j + ((-4)\/(-4) - 0). Let m(p) = -53*p**3 - 2*p**2 - 2*p - 1. Is m(h) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 15. Suppose 3*h - 20 = -500. Let u = h + 163. Calculate the least common multiple of o and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1113 and 3252928?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 81631780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 849\/17 + -2836475\/56797. Let t = o - -277291\/20046. Calculate the common denominator of (-1 + 30\/28)*(-125)\/(-5) and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9045560728 plus 0.125?\nAnswer: 3.0295560728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3043590 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -751658 + 1945514. Let y = -606144 - n. What is y rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let o = -56 - -59. Let m(x) = -o - 2*x - 5*x + 10*x. Give m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*w)*(10 - 2 + 3) + 3 - 3 - w in the form k*w + p and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -158 + 167, -5*l - 3*t + 104 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (112\/40 + -2)*235\/2. Suppose 3*c = 9, c = 2*k - c - g. What is the third derivative of 43*d**3 - k*d**3 - 2*d + 31*d**2 + 2*d wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 + 6*s**2 - 18*s**2 - 3*s**2.\nAnswer: -26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20170.37 millilitres?\nAnswer: 20.17037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 15*w - 91. Let o(d) = -30*d + 153. Let q(b) = -5*l(b) - 3*o(b). Suppose -4*i = -i + 15. Let h(t) = -22*t + 6. Determine i*h(y) - 7*q(y).\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -10?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -19*l + 5. Let y(t) be the third derivative of -5*t**4\/12 + t**3\/2 - 15*t**2. Let d(a) = -6*u(a) + 10*y(a). What is d(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.8308 - -4.9308. Let m(y) = 2*y**3 - 4*y**2 + 2*y. Let q be m(2). Suppose 20 = q*w, 7 + 0 = h + w. What is the third biggest value in h, -3, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three quarters of a hour?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -31.8. Let z = -3 + u. Suppose 0*q + 3*q = -6. What is the smallest value in -2\/5, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1426870, -1426871, -1426872, -1426873, -1426874, -1426875?\n\"Answer: -z - 1426869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -236 + 449. List the prime factors of r.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163136.\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2. Let o(r) = 5*r**2 - 6. Let y(x) = 3*x**2 - 7. Let t(h) = 7*o(h) - 6*y(h). Calculate q(t(s)).\nAnswer: 578*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80))**2*-4 - ((sqrt(180)\/sqrt(4))\/sqrt(9) + (-1*sqrt(20))**2).\nAnswer: -340 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/60 - g**4\/24 + g**3\/6 - 125*g**2 - 1. Let v(l) = -11*l**2 + 4*l - 4. Calculate 4*m(d) + v(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 5 (c) -76 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -711*b**3 - 3*b**2 + 6*b + 17. Let t be v(-4). Let s = t + -1908743\/42. Calculate the common denominator of 43 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/30 - m**5\/60 - m**4\/24 + m**3\/6 + 5*m**2. Let s be w(1). Suppose -2*p + 3*p = -s. Is p at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*y - 3*y. Let u be (-12)\/9*6\/(-4). What is the smallest value in y, u, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/6 + 1087*y\/2 + 1629 = 0. Calculate y.\nAnswer: -3258, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2, l = -4*k + 22 - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*l + 3*l - 15, 0 = 4*b + 3*l - 9. Suppose -4*c + 1630 - 590 = b. Suppose -3*x + r = -266, 5*r + c = 3*x + 10. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + -1.7. Let p = 0.38 - 0.69. Let y = 0.11 + p. Which is the smallest value? (a) o (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/4 - a**4\/6 + a**2\/2 + 1203*a + 2. What is f(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (82\/(-8))\/(1\/2). Let j = 20 + h. Let i = 0 + -3. What is the second smallest value in 2\/5, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.36127m to centimeters.\nAnswer: 1336.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 114\/(-8)*32\/(-12). Suppose -4*v + 4*a + 204 = 0, -4*a + 2*a - 206 = -4*v. Let c = -33 + v. What is the highest common factor of g and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, 0, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4\/7*n - 1\/7*n**2 = 0. What is n?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932.06418 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -730433.2 rounded to the nearest ten thousand?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4241\/20 + -212. Let c(k) be the third derivative of 0 + 0*k - 1\/120*k**6 - b*k**5 - 1\/3*k**3 - 2*k**2 - 1\/8*k**4. Determine c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose 0*n = -q*n. Suppose 2*f = -n*f + 158. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08 - 1.12. Let x = a + 0.7. Suppose 10 = -2*g + 4*p, -3*g - 16 + 1 = -3*p. Put x, g, -6 in increasing order.\nAnswer: -6, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 2*c + 4. Let d be x(-3). Let y(v) be the second derivative of 11*v**5\/20 - v**4\/12 + v**2\/2 - v + 4. What is y(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (8 + -1))*(-33 + 32). Calculate the greatest common factor of g and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906247?\nAnswer: 53, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = p + 12. Solve -p*l = -6*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 5) in base 16?\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124021 is divided by 207?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1268, 2555, 3852, 5165, 6500?\n\"Answer: u**3 - u**2 + 1283*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 5. Let m(d) = 3*d**2 - 14. Let w(s) = -11*c(s) - 4*m(s). Let y be w(-1). Let v(t) = -2*t - 17. Let i be v(-9). Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40646131?\nAnswer: 977, 41603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(432))**2*3.\nAnswer: 144*sqrt(3) + 5187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**3 - 18*o**2 + 4*o + 33. Let p(a) = 15*a**3 + 37*a**2 - 10*a - 62. Let i(b) = -5*d(b) - 3*p(b). Factor i(t).\nAnswer: -(t - 1)*(t + 1)*(10*t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5486 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -294 + 91 + 1009*l + 1312*l + 206 to t + k*l and give k.\nAnswer: 2321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*p + 93 = 3*t, -t = -5*p - 20. Suppose 0*o + 3*o - 15 = 0. Suppose o*u - t = -5. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510573 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, c: 1, y: 2, n: 3, v: 1, q: 5}. Give prob of sequence qvww.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**3 - 4*h**2 - 2. Let o(c) = -3 + 0*c**3 + 10744*c**2 - 10749*c**2 - 6*c**3. Calculate 3*o(j) - 4*z(j).\nAnswer: 2*j**3 + j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 + -240. Let v = -70.2 - u. Round v to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -502 - -5507. Suppose 21*f - n = 8*f. What are the prime factors of f?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41\/12 - 11\/4. Put -0.5, q, -3\/2 in decreasing order.\nAnswer: q, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.199 to zero dps.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/11217 or -1?\nAnswer: -1\/11217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4347122 and -47\/16.\nAnswer: 34776976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 24*s + 35 = 0. Let k(u) = -u**2 + 10*u**3 + 0*u**2 + 0*u + 3 - 3*u. What is the remainder when 35 is divided by k(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2319? (a) 4 (b) 0 (c) -15 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182709?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -51.0674 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -115? (a) -8\/7 (b) 152 (c) 0.2 (d) 0.4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**8\/616 + 2*m**7\/1155 - m**6\/165 - m**5\/165 + m**4\/132 + m**2. Determine v so that t(v) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 24, 1\/9, 109, -0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4689 is divided by 674?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**3 - 11*f**2 + 11*f**2)*(0 + 3 - 5 + (-2 + 1 + 2)*(2 + 0 - 3) + 3 + 1 + 5) in the form a*f**2 + r*f**3 + v + t*f and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**4\/6 - 2*u**3\/3 - 11*u**2\/2 + 112*u. Find the second derivative of n(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 305.\nAnswer: -4\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3 - 4) + 0 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oejxc. What is prob of picking 1 o and 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from zoozooooooo.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*n = -n + 980, -4*n - 16 = 0. Suppose -4*x = 3*k - h, 2*x + 82 = 3*x + 4*k. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829917 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -10. Let r = -209 + 344. Suppose 9*m + 27 - r = 0. Calculate the highest common divisor of h and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + (-172)\/(-16). Let o be (-134)\/u - (-10)\/55. Is o smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 48.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -5, 4, 13, 22?\n\"Answer: 9*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*z - 0. Suppose -z*b + 30 = -0*b. Solve -c + b = 4*c, 0 = 5*m - c + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172 + -73. Suppose -104*o + y*o + 25 = 0. Solve 3*h = g + 4, -40 = -0*g - 5*g - o*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, k: 9}. What is prob of sequence pppk?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -5. Suppose -k*o = o - 36. What is the tens digit of o\/(-72) + (-690)\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 3. Suppose -3*s + 2*s = -z, -4*x = -2*s - 506. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*t + 22 = 0, 5*o - 8*o + 2*t = 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r\/(((r\/((r**(-2\/73)\/r)\/r*r))\/r)\/r)*r)*r**(-2\/21) assuming r is positive.\nAnswer: r**(-3170\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 3*u - 3. Let b be h(-2). Let n = -2 + b. Let k = 11 - n. Calculate the remainder when 17 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6cb526 (base 14) in base 6?\nAnswer: -211414114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in -0.7, -4\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) 5 (d) -93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-4)\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 9. Let w = -6 + j. Solve 15 = -w*s - 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360041006?\nAnswer: 2, 13, 31, 37, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -727, -1101, -1475, -1849?\nAnswer: -2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -722*m**5\/5 + 162374*m**4\/5 - 465198*m**3\/5 + 54050*m**2 + 32408*m\/5 + 888\/5 = 0. Calculate m.\nAnswer: -1\/19, 1, 2, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27252164, 27252163, 27252162, 27252161?\nAnswer: 27252160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4371687 - 18\nAnswer: -4371705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91494959 times 1?\nAnswer: 91494959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4264877349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 301*n = 302*n + 79, 39 = -3*y + 6*n for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**3 + 196*f**2 - 42480*f - 85648.\nAnswer: 4*(f - 53)*(f + 2)*(3*f + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1.6 (b) -4 (c) -1941\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574910 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 11*o**3 + 2*o**2 + 20*o - 21. Let w be z(1). Let u be 26\/42 - 2\/6. Which is the nearest to u? (a) w (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 23 = -o. Suppose 2*f = -f + o. Suppose 26 = 18*s - 17*s. What is the remainder when s is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 3*p, -1 = -5*f + 4. Suppose 4*z = p*z. Let u = -0.2 - -0.1. What is the third biggest value in -5, z, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1276 - -1283. Solve -t*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-20))\/((-1)\/(-6)). Let j be -80 - -77 - -1*8. Is j < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) - ((-3)\/(-12) - 2). Solve -3*m + g*j = -6, -11 = -3*m + m - j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7392060*d*w + 10*d + 60121400*w wrt d?\nAnswer: -7392060*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -506, -2223, -5084, -9089?\nAnswer: -14238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -384066, -768150, -1152234, -1536318?\n\"Answer: -384084*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + 33170*o**2\/3 + o\/3 - 33170\/3.\nAnswer: -(o - 33170)*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -14. Let z(y) = y**2 - 6*y - 17. Let s be z(l). What is the least common multiple of 72\/7 - -2 - s\/(-35) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from dsdkoodsodydkd.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 24 = 2*c, -u + 0*u = 2*c - 14. Calculate the remainder when (10\/c)\/(5\/60) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - ((51 - 39) + -19 - (1 + 19) - -15).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(7\/3)\/k**(-2\/35))\/(k\/(k*k**17))**(-1\/8) assuming k is positive.\nAnswer: k**(223\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 181, -5, 292 in ascending order.\nAnswer: -5, -4, 3, 181, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20704 divided by 2?\nAnswer: 10352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*a = 15, a - 199 + 205 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 46 = 3*u. Suppose 0 = -2*l - 6, l + l + u = v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 25*c**3 - 2*c**2 + 67*c + 188. Calculate p(-3).\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 284*o**2. Let j(f) = 14*f. What is l(j(h))?\nAnswer: 55664*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5935*s - 18157. Determine o(3).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from llexyeeellel.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517.\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 5*j + 3. Let s(p) = -p**3 + 6*p + 5. Let y(n) = 3. Let q(h) = s(h) - 3*y(h). Let a = -4 + 1. Calculate a*q(x) - 4*b(x).\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314.9 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**3\/g)\/(g*g**5*g))\/(g**(-10)*g**13))**2 assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260373 is divided by 228?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) -0.03 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 3*a**2 - 5*a + 4. Let t be r(4). Calculate the common denominator of 2 - (t - 27\/(-22)) and 29\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254154 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 1161 + 206. What are the prime factors of h?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -15. Let a = -3 + i. Let c = 55\/756 - -2\/189. Which is bigger: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 476.4059nm to centimeters.\nAnswer: 0.00004764059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 32 + 24*h**2 - 29*h**2 as k*h**2 + m + n*h and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/4 + 2*q**3 + q**2\/2 + 2*q - 11. What is g(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 935 and 1275?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24072748 (base 9) in base 11?\nAnswer: 6699233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6585, 6589, 6593, 6597?\nAnswer: 6601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74\/165 in 4\/9, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -4. Suppose -2*y + 6*y - h = 0. Suppose 3*q + y = 41. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i + 2. Let u(a) = a + 4. Let n be u(-4). Let l be y(n). Suppose l*q + q = 21. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72632902 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - -1. Suppose -f = 4*f - 15. Put 5, s, f in decreasing order.\nAnswer: 5, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 3*q**4 + 0*q**3 + (-14*q + 2*q**2 + 14*q)*(-3*q**2 - 2*q**2 + 7*q**2)*(6 + 3 - 3) as d*q**4 + i*q + h*q**3 + k + j*q**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83797735 to the power of 1\/3, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000593302678 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4*j**3 + 86*f**4*j**2 - f**2*j**3 + 25*f**2 wrt f.\nAnswer: -48*f*j**3 + 2064*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (742*p**2 - 273*p**2 - 260*p**2 - 247*p**2 - 2*p)*(4 + 1 + 1) as q*p + s + i*p**2 and give i.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -1 + (5 + -4)\/1. Suppose j = -10*g + 30 - 10. What is the hundreds digit of (g*11)\/(-3*5\/(-165))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2058\/139 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (17 - 112 - -7)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.228838ml?\nAnswer: 0.002228838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 19 = 2*m - 4*j, -5*m - j = -32. Suppose -3*u + 38 = -u. Let p = u - m. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -6\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 29*h + 11*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2175 divided by 45\nAnswer: 145\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22220 - -22238. Calculate the greatest common divisor of 31266 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/5))**(-3\/20)\/(a**2\/(a\/(((a*a**3\/a)\/a)\/a)*a)) assuming a is positive.\nAnswer: a**(-59\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 5*d**2 - 7*d - 15. Let n be b(-6). Which is bigger: n or -12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**3\/5 - 7422*a**2 + 482979*a\/5 + 520086\/5 = 0.\nAnswer: -12383, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 200*a + 79*a + 7533 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 12*w - 6. Let z be (-9)\/36 - (-159)\/12. Let c(n) = 2*n**2 + 26*n - 13. Let j(q) = z*u(q) - 6*c(q). Determine j(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 443, 921, 1399, 1877?\n\"Answer: 478*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 61*t - 259. Determine w(0).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 6:36 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-7 - 287\/(-42))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**8\/840 - h**5\/30 - h**3 - 1. Let c(z) be the third derivative of w(z). Find the second derivative of c(u) wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3322023323020 + -10?\nAnswer: -3322023323030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/149, -3, 1.8, -4?\nAnswer: -1\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-8 - 125\/(-15)). Which is the second smallest value? (a) w (b) 17 (c) 1\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x + 2291503 = 2290831 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -69\/56, 64, 0.2, -0.4 in decreasing order.\nAnswer: 64, 0.2, -0.4, -69\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-2)*(-17)\/(170\/36). Suppose -3*a = -z*a + 126. Let t be (0 - -2)\/(14\/21). Put a, -4, t, 0 in increasing order.\nAnswer: -4, 0, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35352486 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(4\/5)*c)*(((c\/((c\/c**(-2\/3))\/c))\/c)\/c)\/c*(c**(-2\/7))**(-37) assuming c is positive.\nAnswer: c**(746\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2620873173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 33 = 20 + 13. Solve f = q - 4*d + 17, 0 = -5*d - 10 + 35 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 21*t**3 + 21*t**2 + 15*t + 11. Let v(w) be the third derivative of -w**6\/30 - w**5\/15 - w**4\/8 - w**3\/3 - 831*w**2. What is -2*f(k) - 11*v(k)?\nAnswer: 2*k**3 + 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*c + 178*c + 9*f = 360*c - 70, 0 = c - 4*f - 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and -7872764.\nAnswer: -1180914.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/208223600 and -71\/83568.\nAnswer: 624670800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 16, d: 4}. What is prob of picking 1 z and 1 d?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 - 89. Suppose -11*k = 6 - a. Solve k*f + 20 = -3*t, t = -f - 0 - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/60 + 2*x**5\/15 - x**4\/4 - 6*x**3 - 33*x**2 + 39*x. Find u such that r(u) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 10*n - 38. Let z be m(-4). Does 32 divide (2 + (-44)\/10)\/(z\/(-240))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(-3))\/((-18)\/(-11907)*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 570 or 568?\nAnswer: 570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 - -85.77. Let i = n - 92.1. Round i to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 - 16*h**2 - 83*h. Let j(v) = -7*v**3 - 31*v**2 - 167*v. Let c(s) = -6*j(s) + 15*w(s). Factor c(g).\nAnswer: -3*g*(g + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493073434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -200\/181 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119527157.\nAnswer: 19, 47, 137, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*g - 250*g - x = 2, -3 = 3*g - 3*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7258*w**2 + w - 2. Let u(m) = 117*m. Calculate u(j(a)).\nAnswer: 849186*a**2 + 117*a - 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -84*i + 5543. Calculate s(66).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*m - 31, f + 0*f - 21 = 5*m. What is the least common multiple of 8 and f?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -37, -69, -121, -199, -309, -457, -649?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.01879 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(72) + (sqrt(7) - -2*sqrt(7)*-6) + -1.\nAnswer: -32*sqrt(7)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -469b9d4?\nAnswer: -469b9d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 7*j - 8*j - 25, 2*z = 4*j - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(108\/(-4)))\/((-7)\/(9 + 12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -13*f**4\/6 - 11*f**2 - 9*f. What is the first derivative of x(t) wrt t?\nAnswer: -52*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000196487226 to 7 dps.\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*c = -279*c + 4018 - 27783 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**7\/y)\/(y\/y**(-3\/5)))\/(y*y**(-3\/5)*y**(-3)*y))**(-33) assuming y is positive.\nAnswer: y**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(196) - (sqrt(5)*3*5)**2 - ((sqrt(1280)*-2)\/((sqrt(4) - sqrt(16))*4))**2.\nAnswer: -1205 + sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - n**2. Let u be 8\/36 - (-106)\/9. Let v = 12 - u. Let h be k(v). Which is the nearest to 1? (a) -0.2 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217753 * -1\nAnswer: 217753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:13 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -977, -2206, -3927, -6140, -8845, -12042?\nAnswer: -15731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 10:25 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1480)\/3367 + (-2)\/(-7) + 0. Which is smaller: -2404 or m?\nAnswer: -2404","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9 = 16, -5*s = g - 22. Let r = -0.01 + 3.01. Put 2, g, r in increasing order.\nAnswer: g, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101258 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 446*p**6 + 12*p**5 + p**4 - 11*p**2 - 2*p - 228 wrt p?\nAnswer: 53520*p**3 + 720*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*f**2 + 9*f**4 - 10*f**2 + 5*f**2 + 3*f**5 - 6*f**3 - f**2 + 9 + 3*f = 0. Calculate f.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 + 23*o**3\/3 - 4*o**2 + 11*o - 10. Is z(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = 3*c - 2*m, -4*c = -3*c + 3*m + 107. Let y = c + 112. Let d be 1\/((2\/(-3))\/(-2)). Solve r + y = -d*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-5 + 3) - -3. Suppose -10*s + 30 = -b*s. Calculate the lowest common multiple of ((-12)\/(-8))\/(3\/2) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 1a266?\nAnswer: -1a267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122611664 divided by -1.\nAnswer: -122611664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/290 and 16\/55.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 102 + 49)*((1 + 0 + 1)*(c + c - c) - 2 + 2*c + 2 + 5*c + c - 4*c + 5*c - 4*c - 2*c).\nAnswer: 945*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(42)\/(sqrt(384)*5) + ((((sqrt(504) - -2*sqrt(504))\/sqrt(8) - sqrt(63)) + sqrt(63))\/sqrt(9))**2)*-6.\nAnswer: -373 - 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180584.\nAnswer: 2, 3, 19, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -14. Suppose 3*y - 32 = 4. Let d be -36*(3 - 45\/y). Solve -5*v - d = -j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 18 = 5*w - 12, w = k. Calculate the least common multiple of w and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - (6 + -4)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 + (-10)\/(-7). Let k = -7 + 11. Let u = k - 7. Which is the nearest to 0? (a) 1\/3 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*f + 188 = 11*f, g = 4*f + 82. Let j be g\/14 - (17\/7 + -3). Calculate the highest common divisor of j and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42060 divided by -14020\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u - 7. Let r be p(4). Sort r, -4, 1 in ascending order.\nAnswer: -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1599*d - 174736. Calculate a(109).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 6:56 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1875 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9321312 and 37752.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8489 - 8456. Solve v - 3*m - 2 = 0, 35 = -v - m + g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*(32\/10 + -4))\/((-39)\/(-260)). Solve 0 = 13*d - p*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -8. Suppose -6*i - 49 = 3*o - i, 4*o + b = -3*i. Let u = o - -14. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -22*l + 2. What is i(-5)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1319*u + 31. Let p be g(-11). Suppose 0 = 2*k, -26153 - p = -n - k. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 16. Suppose 2*d = -1 + v. Suppose 0 = d*z - 4*z + 24. Solve 2*w - 14 = 3*j, -5*j = -5*w - z + 42 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1493.\nAnswer: -5\/1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 48, 24, -28, -120, -264, -472, -756?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 0*u**3 + 4*u**3 + (-3 + u + 3)*(0 + 2*u**2 + 0))*(38 - 46 - 20) + (-3 + 3 - 2*u)*(u**2 - u + u).\nAnswer: -114*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6568.376ng to milligrams.\nAnswer: 0.006568376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 11*b**2 - 28*b**3 + 72*b**3.\nAnswer: 44*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8073006.\nAnswer: 2, 3, 131, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 201\/5*n + 138\/5 + 12*n**2 - 3\/5*n**3.\nAnswer: -3*(n - 23)*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let z(f) = 5*f - 4. Let h be (-7)\/21 - 4\/6. Let j(n) = h*z(n) + 4*i(n). Let g(q) = -4*q. Calculate g(j(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/7 + 16162*m**2\/7 - 32321*m\/7 + 16160\/7 = 0. Calculate m.\nAnswer: 1, 16160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/2*v**2 + 1\/4*v**3 + 243*v - 1458.\nAnswer: (v - 18)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - 2.5. What is the nearest to t in -111, 4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 737 and 142968 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a81340 (base 11) in base 5?\nAnswer: 420320001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/(-6))\/((-13769)\/3934))\/(4\/(-270))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1034232 divided by -6.\nAnswer: 172372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 25297 = 7*g, 4*t + g - 10350 = 14955. List the prime factors of t.\nAnswer: 2, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -7. Suppose -5*w + 2*w - 4*g = -5, 39 = 5*w - g. What is the remainder when t is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide ((-1195579)\/572 - 1\/13)\/(5\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58.7 and 1567730.\nAnswer: -92025751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48331945*k**2 + 26439*k + 294 wrt k?\nAnswer: -96663890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51101*h**2 - 17031*h**2 - 17018*h**2 - 17058*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 89 = q, 4*q - 5*z = -0*q + 356. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -3*f - 139 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aur when three letters picked without replacement from {b: 4, a: 2, v: 5, y: 2, r: 1, u: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -98*q + 8*q - 632 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o*o*o\/o**0)*o)\/o)**10*(o**0)**(-14\/3) assuming o is positive.\nAnswer: o**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56933 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3\/3 + 18084*w**2 - 54258*w = 0?\nAnswer: -27129, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 2*w**2 + 0*w**2)*(-4*w + 3*w + 4*w)*(-3 + 1 + 0)*(645 + 658 - 1178).\nAnswer: 750*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 61953*12\/54*-3. Let v = k + 84509. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/18)\/(40\/120)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/6 - 34*f**2 - 225853*f\/6 - 2004272 = 0.\nAnswer: -347, -57, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 1. Let d(b) = -11*b**3 + 28*b**2 - 6. Let w(n) = 5*n**3 - 12*n**2 + 3. Let j(t) = 3*d(t) + 7*w(t). What is 7*g(k) + 4*j(k)?\nAnswer: k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 divided by -18308?\nAnswer: -321\/18308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5342388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764685.\nAnswer: 3, 5, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 11*h**2 + 28*h**4 + 0*h**3 - 11*h**4 + 2*h**3 - 19*h**4 in the form n*h + c + g*h**3 + j*h**4 + l*h**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(5)*-4)**2 - (-2 + sqrt(40)\/sqrt(2) + sqrt(20) - sqrt(20)).\nAnswer: 14*sqrt(5) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.034, 2\/13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*m + 5*k, 4*m = 3*k - 4*k + 7. Suppose -2*t - 5 = -7*t, -m*c = -4*t - 137. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((2\/(-4) - (-22)\/60) + (-73570)\/(-157650))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swh when three letters picked without replacement from {w: 9, s: 2, h: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-64))\/((-19)\/(-76)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8452*r**6 - r**4 - 3*r**3 - 128*r**2 - 1030.\nAnswer: 1014240*r**3 - 24*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2232053 (base 8) to base 10.\nAnswer: 603179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25190 - 35822 = -7*p + x, 34864 = 4*p + 3*x. List the prime factors of p.\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 27*a - 18. Let g(t) = -28*t + 17. Let p(y) = -7*g(y) - 6*k(y). Let d be p(9). Let q = d + -184. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**6\/120 + a**5\/10 + 7*a**4\/24 + 2*a**3\/3 - a**2 + 1. Let x(j) be the second derivative of r(j). What is x(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*f - 308*f = 4961 + 16720 for f.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b827 (base 14) in base 10?\nAnswer: 31787","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5077111, -10154221, -15231331, -20308441?\n\"Answer: -5077110*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52152 and 5248.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 8, 2\/15, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26376679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -35.\nAnswer: 19\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13014447789671 minus -0.2?\nAnswer: -13014447789670.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9798 and 182574?\nAnswer: 12962754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39134 or -39135?\nAnswer: -39134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -149, -275, -385, -443?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-7)\/(-11) - 6\/(-33). Let k be (-176)\/(0 - -1) + n. What are the prime factors of k\/(-16) - (-2)\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 615.074\nAnswer: 430.5518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42484 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1224332036 to the nearest integer?\nAnswer: 34990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 10:58 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11373.2 + 12398. What is d rounded to the nearest ten?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5, 26, -259.\nAnswer: -259, -2, -1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*w**3*z**2 + 252*w**3*z - 12*w**3 - 2344*w**2*z**2 + 47*w**2*z - 5*w + 4245*z**3 - 5*z + 3 wrt z?\nAnswer: 28*w**3 - 4688*w**2 + 25470*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 29. Suppose -s + i = -3*s + 5*l, 4*s + 3*l = 13. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*w + 198 = 0, 0*o = 4*o + 4*w - 356. Suppose -179 = -3*c + o. Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11 + 4*h - 10 - 17. Let y be r(4). Let g be 10 + -1*(0 + 1). Solve 5*a + 2*v - 21 = y, -2*v = 3*a + v - g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 8*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5136 minus -8?\nAnswer: -5128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 11124\nAnswer: -33372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 10*x**2 - 127*x - 289. Suppose 3*r = -f + 19 + 18, 0 = 5*f + 4*r - 185. Calculate the remainder when f is divided by j(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118174799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 2:41 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/37, 0.5, -0.2, -27.\nAnswer: -27, -0.2, 3\/37, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - 7056\/8)*(-5 - -4)?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508111 is divided by 1853?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15534.\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 183*i + 185*i = 5943, -5*i - 5985 = -5*z. Calculate the remainder when z is divided by 98.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.87125572 to 3 decimal places.\nAnswer: -12.871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 41834?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqbabbaxxrbbrwxxrarw. What is prob of picking 2 w, 1 r, and 1 x?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 91) + (-34 - -31) + 1 + 14.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 829*s - 2 + 1752*s - 4 - 919*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.34 - 499.34. Let g = -490 - x. Which is the biggest value? (a) 6 (b) -2 (c) -5\/2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 3*g + g**2)*(5*g - 9*g - 22*g).\nAnswer: -26*g**3 - 52*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -15*r**5 - 4461*r**4 - 223152*r**3 - 3324228*r**2 - 6915552*r - 2248512 = 0.\nAnswer: -239, -28, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**5\/3 + 122*u**4 - 1486*u**3\/3 + 622*u**2 - 748*u\/3 = 0.\nAnswer: -187, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v + 3*v - 2*v + (4 - 3 + 1)*(2*v - 5*v + 2*v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11424 + 11427. Solve -2*c - 17 = -z*j, 6*c + 1 = 3*j - 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*m, 3*f - 1 + 0 = 4*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (555*i - 280*i - 211*i)*(4 - 4 - i) - 3*i**2 - 2*i**2 + 3*i**2 to v*i + x + b*i**2 and give b.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25, -44, -109, -244, -473, -820?\n\"Answer: -4*x**3 + x**2 + 6*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 0*i - 14 = -3*y, 0 = -4*y - 5*i + 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/17 + 328*p**3\/17 - 16734*p**2\/17 + 339752*p\/17 - 2364544\/17 = 0.\nAnswer: 16, 28, 29, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 33 = -4*a, 2*a - 25*r + 21 = -22*r for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 4716?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 3*k + 1. Let y be n(-3). Let x be (0\/y)\/((-2)\/2). Solve -6 = -2*b - x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - 4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/38*(189\/18)\/(-21)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1272 and 954.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55423604 + -3?\nAnswer: 55423601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*y + 125 = 443, -468 = -3*o - 3*y. Let r be 33\/o*4\/3. Which is the closest to 3? (a) -1 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 - 27188*o**4 + 27250*o**3 + 815556*o**2 - 1957680*o = 0. Calculate o.\nAnswer: -13595, -6, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540792 divided by -140072?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7355714 - 2.\nAnswer: 7355712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2521543 or -2521541?\nAnswer: -2521541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*(r**(-1\/2)*r)\/r)**(-43)\/((r**(-1)\/r)**(18\/5)\/(r**(2\/3)\/r*r)**15) assuming r is positive.\nAnswer: r**(817\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000146 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3 - 3)*((l**3 - l**3 + l**3)*(-3 - 2 - 1) + l**3 - 2*l**3 + 2*l**3 + (-6 - 10 + 3)*(-l**3 - 4*l**2 + 4*l**2))*(-3 + 3 - 3).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3658, -9187, -14716?\nAnswer: -20245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34462, -34460, -34458, -34456, -34454, -34452?\n\"Answer: 2*t - 34464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 566 + -4535\/8. What is the common denominator of x and 4*2\/((-96)\/115)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 55 + 10)*(-3*i**5 - 3*i**5 + 3*i**5) + (2*i**3 - 2*i**3 + 2*i**5)*(-2 + 2 + 4)*(4 - 2 + 2).\nAnswer: -178*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/15 - 26*s**2\/15 + 4*s.\nAnswer: -2*s*(s - 2)*(s + 15)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -135 + -132 + 206\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 6. Suppose 0 = 4*r - 5*r - 6. Let v = b - r. Solve 10 - 1 = 3*p + a, -7 = p - v*a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -445\/28 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 7) to base 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 4*r**2 + 2*r + 5. Let s(z) = 2*z**3 - 3*z**2 - 3*z - 5. Let l(p) = -4*s(p) - 5*t(p). Give l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909 + p**3 + 33*p + 39*p + 0*p**3 - 72*p.\nAnswer: p**3 - 909","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**6\/180 - p**5\/60 + p**3\/18 - p**2\/12 + 4*p. Find q, given that d(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 2*d**2 - 4*d - 3. Let r be h(-2). Suppose z - 32 = r*z. Let x = z + 14. Calculate the greatest common factor of x and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 94, 184, 274?\n\"Answer: 90*c - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - 6. Which is bigger: -13 or l?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2692794 and 44\/2048865.\nAnswer: 94247790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 36165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 35*n**2 - 11*n + 5. Let f be w(2). Let x = f + 30. What is the highest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72694883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 5\/11 (c) 1114\/17 (d) 5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kskkskksooookkkkskk. Give prob of picking 2 k, 1 s, and 1 o.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) 4 (b) -341 (c) -352 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-10) - -10*(-291)\/(-1050)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1875521609 to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/8 - (8913\/30)\/((-12)\/30). Solve -744*c = -g*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 3)*(3144*v - 1602*v - 2 - 1625*v)*(3 + 3 - 4)*(5*v - v**2 - 5*v) to the form j*v**3 + c*v + m + s*v**2 and give j.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.512 + -2.812. Which is the closest to 0? (a) m (b) -0.3 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213122234 + -42?\nAnswer: 213122152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 893911001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51872885 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: Round 0.005809 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.4, -4, 13 in increasing order.\nAnswer: -4, -0.4, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let n(q) = -1084*q**2. Give n(f(m)).\nAnswer: -1084*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1728182 - 0.17327.\nAnswer: -1728182.17327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002089 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 489147 to the power of 1\/2, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 122\/4*(-8 + 6)*-1. Let w = -45 + t. Solve -4*u - 4*b = 0, -6*u + 3*u + w = -b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 6 - 24)*(30*w**2 + 5*w**2 - 26*w**2 - 72*w).\nAnswer: -432*w**2 + 3456*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2964180 and -145\/552?\nAnswer: 136352280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + 11 + -6 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1557739*h + 9304515.\nAnswer: -1557739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2080176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 16 = -5*z + 61, -3*z - 5*y + 19 = 0. Calculate the remainder when 36\/2 + 8\/((-16)\/(-10)) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73906261 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26508*c**2*g**2 + 2*c**2*g - 2*c**2 + 161293*c*g**2 + 4*c*g wrt c?\nAnswer: 53016*g**2 + 4*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50619 is divided by 7226.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13294 and 1564?\nAnswer: 26588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 6*i + 6. Let v be f(6). Let m = v + -9. Let l be ((-6)\/2)\/m*-1. Is l at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 4*z - 3*v, 0 = 3*z - 2*v - 2*v - 140. Suppose -z = -o + 5*o. Let n = 1 - o. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3. Let c(y) = 5*y - 29. Give c(b) - 6*f(b).\nAnswer: 5*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 10, -5*t = 2*n - 465 + 86. Suppose -g + t = 2*g. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 32*d**6\/3 - 2*d**4 - d**3\/3 - 3769*d**2 - 5313. Find the second derivative of y(l) wrt l.\nAnswer: 1280*l**3 - 48*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3548286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829429.1l to millilitres.\nAnswer: 829429100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**2\/7 - 3576744*t\/7 - 1066091470128\/7 = 0?\nAnswer: -596124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/(282\/12831).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 8. Let j = 5 + c. Let k = -89730 - -89733. Solve -j = k*t - 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*a + 352, -4*s + 2106 - 638 = 4*a. Let x be -8*(s\/(-16) + 3). Is 159 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-8)\/(-6)))\/(28\/(-8)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/43? (a) -2\/7 (b) -6 (c) -0.01 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*v, 0 = -j - 4*v + 4 - 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 59.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l. Suppose -2*q = -l*q - 10. Suppose -q = 3*j - 11. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-4)*x))**(1\/65))**(-6\/13))**(-5\/6) assuming x is positive.\nAnswer: x**(3\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 6228?\nAnswer: 143244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -40324.02478 minus 5?\nAnswer: -40329.02478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-165)\/55*(1 - (-1)\/(-2)). Let u = -33 - -33. Let v = u - -5. Which is bigger: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**2. Let t(q) be the first derivative of -q**6\/120 - 24*q**3 + 137. Let j(p) be the third derivative of t(p). Give v(j(u)).\nAnswer: 54*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -614085983*b**2 - 380521662*b wrt b.\nAnswer: -1228171966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -171\/8 bigger than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3585 = -6*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(27) + sqrt(17) + (sqrt(102)*1)\/sqrt(6).\nAnswer: 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*o = -166*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -18*w**2. Let n(s) be the second derivative of 0*s**2 + 0*s**3 + 1\/6*s**4 - 14*s + 0. What is t(n(r))?\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x. Let q(s) = -4134*s. Determine h(q(t)).\nAnswer: 28938*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/5 (b) -2\/11 (c) 0.5 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1 - s**2 - 5 + 10*s - 5*s**2. Let h(t) = -4*t**2 + 7*t - 3. Suppose 4*k - w + 12 = 3*w, -5*k - 55 = 3*w. Let c(d) = k*h(d) + 5*b(d). Factor c(a).\nAnswer: 2*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*o = -18 + 2, -3*c + 4*o - 17 = 0. Let h(y) = 7*y + 3. Let j be h(c). Let q be 1\/2 - (-1)\/(-2). Solve 2*s + q*s + j = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 24381*k + 55. Let w be h(-1). Which is bigger: w or -24325?\nAnswer: -24325","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 take away 7077334704284?\nAnswer: -7077334704398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/(-170))\/((-75)\/(-325)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41760 and 75166560.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j**2 + j)*(5*j - 2 + 0 - 1).\nAnswer: 5*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 101*v**2\/4 - 2499*v\/4 + 2601\/4.\nAnswer: -(v - 1)*(v + 51)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-15) + -996*(-17)\/(-408).\nAnswer: -89\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**7\/140 + 13*m**6\/80 - 3*m**5\/10 + m**2 - 797*m. Factor a(g).\nAnswer: -3*g**2*(g - 12)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -869 + 985. Calculate the greatest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97)\/((-243567)\/108)*2\/4*-3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(-4)\/(-6) - 4. Suppose -3*y + 937 = 2*b, b + 5*y = t*y + 476. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131232210 (base 4) in base 8?\nAnswer: -355644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 2*z**2 + 0*z**2 + (-47 + 56 + 70)*(-4*z + 4*z - z**2) as f*z + w*z**2 + r and give w.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/5048 and 63\/22.\nAnswer: 55528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 - 9*h + 10. What is the lowest common multiple of 88 and k(4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, -9, 3 in descending order.\nAnswer: 3, 0, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Suppose -y + 9 = -5*w - 3, 3*y = 3*w + 12. Let k be a(y). Suppose b + 0*b - k = 0. Solve -p - 6 = -b*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -570 + 698. Calculate the remainder when h is divided by 21 + 4 + -3 - 0\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/3 + 22\/15. Let l = 360.1818 + -361.1. Let n = l + -0.0818. Which is the nearest to n? (a) -4\/3 (b) g (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 - g**4 - 3*g**4)*(-g - 3*g + 2*g) + 2*g**5 - 4*g**5 + g**5 - 6*g**5 - 5*g**4 + 2*g + 5*g**4.\nAnswer: -3*g**5 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4766491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-6)\/4 - 0). Suppose 2*a - y = -a. Let p be (1 - (-3 + -1))\/a. Solve -h = -v - 2, -4*h = 4*v + 3 + p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -136 (c) 0.3 (d) 0.2 (e) -3\/7 (f) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 19*l**2 + 2*l + 1. Let q be n(-1). Let x be (1 - (-222)\/18)*-3. Let d = 40 + x. Solve 5*i - 1 = -4*s - q, 4*i + 4*s + 12 = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/826 and -34\/1919.\nAnswer: 1585094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0*p**4 + 0*p + 0*p**5 - 1\/140*p**7 + 0*p**3 + 1\/80*p**6 + 0 + 5*p**2. Suppose t(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 587464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 3)*(0 + 1 - 2)*(106*g + 144*g - 142*g) - 2*g + 7*g - 3*g to the form v + x*g and give x.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(((-1)\/(-3))\/(591\/10638))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 101 = -5*r - 0*f, 5*r = 2*f + 104. Find the second derivative of -r*d**3 - 4*d**4 + 22*d**3 + d wrt d.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2173.03 rounded to the nearest 10?\nAnswer: -2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:02 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a\/(a**2\/a)*a)\/a)*a)\/(a*a*a*a*a**(-9)*a*a))\/(a*(a**(-1\/2)\/a)\/a*a)**(-27) assuming a is positive.\nAnswer: a**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82265351 and 8897.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4809385 milliseconds in nanoseconds?\nAnswer: 480938.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001 (base 2) in base 3?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = d, 4*d = -0*h + h - 22. Let b be h\/9 - (-41535)\/81. Suppose -5*k + b = 128. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4607151.\nAnswer: 3, 1535717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/6 (b) 2 (c) 0.5 (d) -684\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 4*n**2 + 2*n + 5. Let p be q(-2). Suppose -15*m + p*m = 0. Suppose 2*s = l - 383, -5*l + 0*s - 3*s + 1889 = m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -109*d + 600 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*o + 2*o. Let y = 454 + -442. Suppose y = o*z - 9. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 368 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -394 (b) -4 (c) 2\/11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 999 - 15135. Suppose 23*p - a = 14153. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 4583019392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - a**2 + 48*a + 296. What are the prime factors of c(-9)?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/6204576 and 49\/5.\nAnswer: 31022880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -272 + 823. Differentiate 246*t + 132*t - 78 - p*t wrt t.\nAnswer: -173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**7\/105 + 2*a**3\/3 + 12*a**2. Differentiate g(p) with respect to p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 689\/1243 + -1\/113. Let m = 1549 + -1548.98. Which is the nearest to -2\/3? (a) v (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 12*i**2 + 3*i - 16. What is the lowest common multiple of 12 and c(12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - 3*3\/9. Let y be n\/12*(-3)\/5. Put y, 0, 2 in decreasing order.\nAnswer: 2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**3 - d**2 + 2*d - 2. Let p be x(1). Let b(l) = l + 6. Let n(t) = t + 1. Let w(k) = -b(k) + 5*n(k). Give w(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 466 - 458. Find the third derivative of 14*l**2 - 63*l**6 - 1 + 9 - h*l**2 + 10*l**6 wrt l.\nAnswer: -6360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2 + 18. Suppose -3*y = 2*l - 6*l + 5, -14 = -4*y - 5*l. Let a be 15\/(-5) + y\/1*-3. Put a, 1, n in decreasing order.\nAnswer: 1, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482*x = 4*j + 483*x - 72577, 0 = -4*j - 3*x + 72563. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011200 - 1?\nAnswer: -2011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -23*g + 9. Let k be o(15). What is k rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*k + 58*k**2 + 39*k + 48*k + 6*k**2 + 46*k.\nAnswer: 64*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (-15 + -38)) + -34 + 83 + -2\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 92 = -3*b. Let z = b + 1460. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-594)\/22842*-47).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19\/3955 - 2098391\/3955. Let u = -18211895\/14 + 1301385. Let h = u + o. What is the common denominator of 31\/14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235794 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 29*j - 1055. Give c(41).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 24802\nAnswer: 24802.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84456 is divided by 12062.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/5)\/(-4))\/((-10340)\/4700)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19584510 is divided by 6103.\nAnswer: 6086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -245153 - 1?\nAnswer: -245154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 32.1, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/4)*w)**(2\/13)*(w**(-1\/4)\/w)**(-3\/2)*(w\/(((((w*w**(-2\/7))\/w)\/w)\/w)\/w*w*w))**(-10\/7)*((w**(1\/4)\/w)\/w*w)**(-4) assuming w is positive.\nAnswer: w**(9575\/5096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + -4. Let g = -11 - j. Let u be (-956)\/(-20) + (-2)\/(-10). What is the highest common factor of u and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -c + 5*v, -13*v + 18*v + 21 = -2*c. Let x(d) be the second derivative of d**3 + 0 - 6*d + 2*d**c + 1\/12*d**4. What is x(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-135)\/15 - -15)*(-2)\/18. What is the closest to x in 9, 1\/7, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**3 + 9*z**2 + 24*z + 4. Let r(f) = 21*f**3 - 25*f**2 - 71*f - 11. What is 4*r(b) + 11*u(b)?\nAnswer: -15*b**3 - b**2 - 20*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3227, -6432, -9637?\n\"Answer: -3205*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -620 - -623. Let u(v) = -232*v - 64. Let x(q) = 11*q + 3. Calculate g*u(r) + 64*x(r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*i - 40978 = 0, -106965 = -4*a + 2*i - 24993. Let s = 29877 - a. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3417, 6970, 10619, 14412, 18397, 22622?\n\"Answer: 8*h**3 + 3497*h - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 + 2*x + 7. Let o = 129 + -135. Determine r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/1127)\/((-16)\/64*8\/6)\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*w = -44*w - 122 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 4.3. Let v(m) = m**2 + m - 6. Let h be v(2). Suppose h = 3*p - p. Which is the nearest to -1\/3? (a) -3 (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-16)*40\/(-800)*64\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6581180*q + 36 - 36.\nAnswer: -6581180*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 280310 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -59.6. Let h = 0.4 + -0.3. What is the closest to h in -1, q, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -97, 165, 5, 0 in ascending order.\nAnswer: -97, -4, 0, 1, 5, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*t = 2404*t - 33984 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 451*n**3 + 11*n**2 + 99*n - 1296. Let m be t(16). What is m rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.99 to zero decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*-0.08.\nAnswer: -4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:26 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 7:20 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/45)\/((-1)\/5). Are 2\/25 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nonnoool. What is prob of sequence lon?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - -3.2. Let x = 4.542 - r. Let g = -0.0420084 + x. What is g rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64891, -4, -90 in decreasing order.\nAnswer: -4, -90, -64891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57024 is divided by 237.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -1434, 196 in descending order.\nAnswer: 196, 2, -2, -1434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-42))\/(18\/(-84))*78\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = 2066. Let z = b - -5211\/5. Calculate the common denominator of z and 34\/41.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/114 and -13\/124858842.\nAnswer: 124858842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e801 + 1?\nAnswer: -e800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 11, -5, -2, 15, 13, -40?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/3)\/3*10\/(-120)*15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -32, -3 in ascending order.\nAnswer: -32, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**3 - 80*i**2 + 76*i = 0.\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3215\/495 - (-58576)\/(-9414)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*c + 4*q - 98, 5*q - 16 = -c. Suppose -c = 3*a + a + 5*z, -3*z = 3*a + 27. Suppose -t - 3*t = 0. Sort t, -0.3, a.\nAnswer: a, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804 = -9121*z + 9039*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {e: 2, o: 1, z: 5, q: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*r - 162*r - 140*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -392, -1307, -3084, -6011?\nAnswer: -10376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -2763903\nAnswer: 829170.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5\/((o*o*o**(-2)\/o*o)\/o))\/(o\/o**(-2\/3)*o*o\/o**4*o))**41 assuming o is positive.\nAnswer: o**(656\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 33*u**2 - 79*u - 6. Let c(p) = -3 - 32*p**2 - 5 + 8 + 79*p + 5. Let v(t) = 6*c(t) + 5*q(t). What is the second derivative of v(o) wrt o?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*u**3 - 5*u**3 + u**3)*(5 - 1 - 3)*(3*u + 2*u - 3*u) + 25*u**4 + 89*u**4 - 2 + 101*u**4 to the form n + i*u**4 + t*u**3 + l*u + c*u**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52342*l**3*u**2 - 21*l**3 + 1648*l**2*u**2 + 1165698*l wrt u?\nAnswer: -104684*l**3*u + 3296*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249126955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60536980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-6)*((-2534)\/21 - 10). Sort -4, j, -5, 2.\nAnswer: j, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 + 129 = 6*x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 0.01, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13001 - 210421?\nAnswer: -223422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = x + 3*x + 26, -4*x - 5 = 5*r. Let o = -7 + 10. Which is the fourth smallest value? (a) -2 (b) 11 (c) x (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 13*z = -30. Let q = 10 + z. Solve q = v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:07 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77812244 to the power of 1\/2, to the nearest integer?\nAnswer: 8821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(130) + (-3*sqrt(130) - sqrt(130) - sqrt(130)))*-5*4)\/(sqrt(40)*5 + (sqrt(110) + 1*sqrt(110))\/sqrt(11)).\nAnswer: 100*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) - (-240)\/(-25). Let x be (g - 3)\/(2 + -1). Let q(f) = -f**2 - 20*f - 6. Is q(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328247786 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*r = 6, 2*r + 9 - 3 = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 531413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231312 (base 8) in base 2?\nAnswer: 1010011001011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4408350 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1212 + 2?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -5. Let l = 0 - n. Let t(g) = -g**2 - g - 1. Let z(c) = -8*c**2 - 10*c - 11. Let f(u) = 18*t(u) - 2*z(u). Calculate f(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8769.562 minutes?\nAnswer: 526173720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/5, 0.1844, -114\/13, -2\/21 in increasing order.\nAnswer: -114\/13, -2\/21, 0.1844, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-1)\/4*2). Let f = 21 - g. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210847 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4784 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40434 by -879.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 268 = 3*j + 5*a, 4*j - 364 = -5*a. What is the highest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**11*u\/(u*u\/(u*u*u\/(u*u\/(u**(-2\/5)\/u*u)*u)*u)*u)*(u*u**8)\/u*u**(-1\/15)*u)**(-10\/13) assuming u is positive.\nAnswer: u**(74\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7331261 is divided by 271527?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3515288, -3515282, -3515276, -3515270?\nAnswer: -3515264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8520 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 984\/(-14) - 14\/(-49). Let n = -72 - l. What is the hundreds digit of (-2)\/(-4)*(372 - n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7930?\nAnswer: 1\/1586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*x + 27 + 5*x + x**2 - x wrt x.\nAnswer: 2*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 20, 93, 238, 479?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 108 = 2*b. Let z be (-1 - -2)*(-8 + 21 + -9). Put z, b, 2 in decreasing order.\nAnswer: b, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -13*q**2 + 15*q + 21. Let f(u) = 11*u**2 - 14*u - 15. Calculate -3*f(y) - 2*v(y).\nAnswer: -7*y**2 + 12*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 388 - 201. What is the remainder when m is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 36*b**2 - 68*b - 223. Determine j(38).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 265*v - 14137. What is s(74)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiidiiiiididiiiid. What is prob of sequence iii?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfg when three letters picked without replacement from gfgffff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1952 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -453, -916, -1397, -1902, -2437, -3008, -3621, -4282?\n\"Answer: -l**3 - 3*l**2 - 447*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709298 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0908789 weeks in nanoseconds?\nAnswer: 54963558720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 + -114 + (-11304)\/210.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6025525\/501 + -12027. Is -1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1009\/21483 - -2\/3069. Suppose 0*x - 7 = -x - v, 2*v = 5*x. Suppose x*c + 2 = -0. Is j != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162.34212 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus 12473?\nAnswer: 12456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 8 - 28 + 6 + 9 - 1192*o to the form a*o + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p + 82 - 226 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 388. Determine s(-1).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88320.63mm to micrometers.\nAnswer: 88320630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + (-3 - -2)) - (-17 - (-10 - 9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 265 + -259 - (-1 - -22 - -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 - -120 - 47 - (35 + 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10686*c - 26 = 4*h - 10681*c, -6*h - 2*c = 50 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 283844651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-77784)\/36 - 0)*12\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 2620314?\nAnswer: 5240628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7*(11\/(-5313))\/(6*9\/(-1620))\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -1.1. Put 8, p, -3 in decreasing order.\nAnswer: 8, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 176 - 354 + 186 + 0*h**2 + 22*h + 2*h**2 in the form r + m*h + w*h**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*q - 85. Let o = 80.09 + -78.09. Which is the second biggest value? (a) o (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4*(-55)\/(-240).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12 - 162*i + 81*i + 85*i. Calculate the lowest common multiple of 33 and p(9).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16417, 32832, 49247, 65662, 82077, 98492?\nAnswer: 114907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-340)\/162)*(-10131)\/(-13508)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + o - 8*o)*(-3*o**2 + 0*o**2 + 0*o**2) + 4 - 4 + o**3 in the form w*o**2 + p*o + q + j*o**3 and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.9 + 0.9. Let v = j + 20. Let y = -11.0018 - v. Round y to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thsisds. Give prob of sequence th.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - -110. What is the highest common factor of w and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 610\/39 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001024072 rounded to six dps?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 589234 and 1010.\nAnswer: 2946170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -15*u**2 + 8664*u + 229743 = 0.\nAnswer: -127\/5, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -93, -3 in decreasing order.\nAnswer: -3, -6, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -399\/103?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31251.\nAnswer: 3, 11, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -85*m**3*x**2*y + 26887*m**3*x**2 - 12*m*x**2 + 971*x**2*y wrt y.\nAnswer: -85*m**3*x**2 + 971*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 109895?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.6 + 2.72. Let d = k - 0.52. Let c = 14.7 + -14. Sort c, -2, d in descending order.\nAnswer: c, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.005699 centuries to decades.\nAnswer: 50.05699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09228 - -0.0942705. Round a to five dps.\nAnswer: 0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110753204735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.4741 centimeters to nanometers.\nAnswer: 74741000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/75)\/(15\/175) + -3. Which is the nearest to 15? (a) 0 (b) 0.4 (c) w (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 4:13 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 197232.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*14\/(-175))\/((-58)\/435)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 14*x**3\/3 + x - 1. Suppose 2*m - g = -4*g - 4, m = 4*g + 9. What are the prime factors of n(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 20) + (-1 - -6) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/37))\/((r**0*r)\/r) assuming r is positive.\nAnswer: r**(39\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 173\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 4. Suppose 4*s = -x*g + 28, 0 - 16 = -3*s - 2*g. Factor -n + n + n**2 - s*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**3 - 4*g**2 - 2. Let v(p) = -10*p**3 - 8*p**2 - 4. Calculate 11*n(h) - 6*v(h).\nAnswer: 5*h**3 + 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 42*f + 44. Let v(p) = 2*p**2 + 2*p - 1. Let z be v(1). Suppose -2*i + 112 = a - 29, -f*i + 369 = -z*a. 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: Let z(i) = 2*i**3 - 4*i**2 - 13*i + 4. Let c(q) = 2*q**3 - 3*q**2 - 12*q + 3. Determine 4*c(f) - 3*z(f).\nAnswer: 2*f**3 - 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.1 (b) 0.1 (c) 290\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785.919 rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 124, 199, 270?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - 4 - 3*h**3 + 14*h - 15*h to the form t*h**3 + d*h**2 + w + x*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17.396 * -15.69\nAnswer: 272.94324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13.85 (b) -0.2 (c) -1 (d) 2\/17 (e) 8\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96.0039 - -96. What is j rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13670.39ug in grams?\nAnswer: 0.01367039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72.1 and 0.07?\nAnswer: 5.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 7 - 43)*(-1 + 1 + a) + 3*a - 4*a + 2*a - a + a - 2*a + (-2*a + 0 + 0)*(-4 + 5 - 3) to g + m*a and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 279 - 131. Suppose -10*o = -7*o - 4*g - s, -o + 2*g = -48. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/(-30)*6 + -3. Solve -4 = s - k*s + 2*p, 0 = -4*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.4, 5\/57, -4 in decreasing order.\nAnswer: 7.4, 5\/57, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -44. Let f = -6 - -5. Which is the closest to p? (a) -0.2 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 399024679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (333242\/315)\/13 - 2\/(-9). Let z = l + -701\/10. Let p = 12497\/1490 - 13\/149. What is the common denominator of p and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3\/4 - 9*i**2\/4 - 17*i\/4 - 3\/4.\nAnswer: (i - 3)*(i + 1)*(5*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = -20 + 100. Let s(p) = p + 4. Let b be s(0). Differentiate 22*a + x*a**2 + b - 22*a with respect to a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/((-3073)\/(-1022) - 3). Let j = -73 - t. Are j and -7\/78 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3 (c) -26 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -28*u**4 + 12*u - 5. Let z(i) = -i**4 - 1. Let v(x) = a(x) + 3*z(x). Find the second derivative of v(h) wrt h.\nAnswer: -372*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3385112 is divided by 931?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.7 times 0.1312?\nAnswer: -10.06304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/4)*o\/(o**(-5\/4)\/o*o))\/(o**6\/(o**(-2)*o)) assuming o is positive.\nAnswer: o**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36072708?\nAnswer: 2, 3, 7, 17, 25261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 219, -1317, -3875, -7455, -12057, -17681?\n\"Answer: -511*i**2 - 3*i + 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -276*s**2. Let k(y) = 2*y. Determine k(n(r)).\nAnswer: -552*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-12))**(-42)\/(h**(1\/40)\/(h*h*h\/(h*h*h**(-1\/3)\/h))) assuming h is positive.\nAnswer: h**(-65243\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 2 + 46*v**2 + 224*v**3 - 529*v**3 - v + 297*v**3 to the form b*v**2 + t + p*v + l*v**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**6\/120 + n**5\/60 + n**4\/24 + n**3\/6 - 4*n**2. Let v be d(-2). Let s = -11 + 18. Put 0, v, s in descending order.\nAnswer: s, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3733405368 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 16*w + 1. Let j be s(1). Suppose -2*c - 5*f = -4*f + 1, -5*f - j = -2*c. What is the greatest common divisor of 8 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1001021002200?\nAnswer: 1001021002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 36*h**2 + 110*h**2 + 106*h**2 - 4*h**2 + 71*h**2 in the form t*h**2 + u*h + v and give t.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 2)*4)**2 + sqrt(343) + ((-1 + sqrt(343))*3)**2 + -2 + 4 + (-3 + sqrt(343) + sqrt(343))**2.\nAnswer: 245*sqrt(7) + 10031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 32\/9*y**5 - 28\/3 - 958\/9*y**3 - 16\/3*y**4 - 604\/3*y**2 - 730\/9*y = 0. What is y?\nAnswer: -3, -2, -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 12:56 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1791*y. Let q(x) be the first derivative of x**2\/2 - 63. Calculate o(q(l)).\nAnswer: -1791*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 35. Suppose 42 + k = 7*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 53?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 7*z - 3. Let n = 90 - 95. Is 2 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d - 2*o = -270, -4*d = 4*o - 364. Solve -20*k = 2*k + d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 19 = q + 4*p, 5*p + 20 = 0. Suppose 0 = -2*f + q*o + 98, -f + 0*f - 4*o = -49. What is the greatest common factor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596640\/10560*(-4)\/2.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100100110100000 + -1?\nAnswer: 101100100110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6905 + -6909. Let n = -2 - -2.06. What is the nearest to 0 in q, 3\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545552897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2811135104.\nAnswer: 2, 21961993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96 or -10.6?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-18))**(1\/68))**(-2\/13) assuming d is positive.\nAnswer: d**(1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*h + 2*j + 74, -4*h = -2*j - 98. Let g = -23 + h. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1108*f**3*n**2 + 270*f**3 - 294713*f**2*n**2 - 3*f**2 - f*n**2 wrt f.\nAnswer: 6648*n**2 + 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgjbcbzbrcbbbb. What is prob of sequence bg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346344 is divided by 314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, n: 1, g: 1, k: 1}. Give prob of sequence ngz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -829 divided by -4?\nAnswer: 829\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9, 1, -2 in decreasing order.\nAnswer: 9, 1, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -26. Solve p = o*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -183*w + 27. Let b be g(-5). Suppose -5*k + k - 3*t = b, 2*k = -2*t - 470. Let a = 450 + k. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 53*d + 29. Let k = 335 - 245. What is the least common multiple of x(26) and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s + 32*s - 18 = -2*h - 31*s, -2*h + 4*s + 0*s + 46 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 14. Calculate c(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61149 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**6\/105 + 23*q**5\/70 - 30*q**4\/7 + 592*q**3\/21 - 704*q**2\/7 - 1337*q + 3. Let x(u) = 0. Calculate u.\nAnswer: 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94437\/13 + 7266. Sort 2\/13, k, 10 in decreasing order.\nAnswer: 10, k, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 3*i**4 - 248*i**2 + 3 + 245*i**2 + i**4 to w + a*i**4 + z*i + o*i**2 + k*i**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b. Let c = -38775\/8 + 4847. Let p(y) be the third derivative of 0*y**3 + 0 + 25*y**2 - c*y**4 + 0*y. Give p(w(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 7:28 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/56)\/(((-90)\/32)\/(-3))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m**2 + 34*m - 82. Is q(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19483*s**3 + 9*s**2 - 9*s**2 + 19489*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 7*f**5\/60 + f**3\/2 + 1734*f**2. Let t(m) = 2*m + 11. Calculate p(t(d)).\nAnswer: 28*d**2 + 308*d + 850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 16355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.582 (b) 1457 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 55*b**2 - 5*b - 46*b**2.\nAnswer: -101*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0\/b)**(-5\/2)\/(b**(2\/27))**(-32) assuming b is positive.\nAnswer: b**(64\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-25 + 4 + 47).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173835, -173840, -173855, -173886, -173939, -174020?\nAnswer: -174135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*b + 320, b - 64 = -0*b - 3*i. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2945399\/70 - 42079. What is the common denominator of v and 27\/25?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*b. Suppose 0*d - 5*d + 270 = b. Let q be ((-10)\/6)\/(6\/d). Is -16 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - x**2 + x**4 + 2*x**2 + 1.\nAnswer: (x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244986, 12, -5.\nAnswer: -5, 12, 244986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.108*-0.6.\nAnswer: 0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.704 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3130 and -50\/32239.\nAnswer: 322390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.01985 - 0.16515. What is q rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**3 + k**2 + 3*k - 3. What is r(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000381 to six decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4204 and -1\/1718.\nAnswer: 3611236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -49*a - 192. Calculate the remainder when r(-7) is divided by 168\/(-16)*(-16)\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-42)*1024\/(-384)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 8*b**2 + 8*b + 11. Let o be u(9). Suppose 5*c - 19 = -p, 0*p + o*c + 2 = 2*p. Solve -p*k = f - 5*f, -f = -4*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166878 and 1533.\nAnswer: 1168146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 - 2. Let u(x) = 2040 - 1022 - 14*x**2 - 1024. What is 8*j(z) - 3*u(z)?\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - k**2 + 11*k + 11. What is u(-6)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -4*i**2 - 28. Let m(t) = -7*t. Let l(h) = 6*m(h) - 5*z(h). Let p(y) = -10*y**2. What is p(l(o))?\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -25 and -38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Let d(z) be the third derivative of -z**4\/24 + 2*z**3\/3 + z**2. Let t be d(f). Are t and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5506312142 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s - 2. Let a be q(4). Suppose 5*b + 5*h + 10 = 0, -2*h + a = 5*b - 5*h. What is the derivative of -5*p**3 + b*p**3 - 6 + p**3 wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4 - 24*m**3*p - 19*m**2*p - 2*m**2 wrt m?\nAnswer: 48*m - 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 163*c**2 + 0*c + 160*c**2 to b*c**2 + i*c + r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 3*s + 1. Let u be f(2). Let l = 0.6 + -1. Let i = 6\/7 - 53\/21. Which is the closest to u? (a) i (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -5916.3.\nAnswer: -1183.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218\/5 + 537\/10. What is the common denominator of g and 99\/1114?\nAnswer: 5570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152043.7 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 230*k**2 - 92*k - 365. Is s(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/29)\/i))\/i*(i\/(i*i*i\/i**16)*i)\/i*i\/(i*(i*i**(-20))\/i*i*i*i)*i**(-16) assuming i is positive.\nAnswer: i**(462\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 1, -54, -3 in ascending order.\nAnswer: -54, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 6. Let d(y) = y + 1. Let m be d(6). Suppose 0 = -46*q + 41*q. Suppose q = 2*n - m*n. Give i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123224220 (base 5) in base 8?\nAnswer: -11576067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4922 + 8024. Is 33 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5478 - 240. Suppose 0 = -4*c - 4*z + 6976, 7*z - 2*z - m = -3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = j - 7, -m + 0*m = -j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*y = 2*g + 13, -2*g = -5*y - 17. Let m be (g - 5)\/4*0\/3. Solve m*p - p = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1158046 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, i: 6}. What is prob of picking 2 i and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.2. Let y = -21 - -15. Let p = y - -7. Which is the second smallest value? (a) 0 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 3*b. Suppose -4*r = -5*r + 7. Suppose 5*a - 5*m - 25 = 0, -4*a - r = m - 2. Solve 4*k + a = -b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1603\/5 - -321. What is the closest to 3\/2 in 5, 1\/3, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10191000 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + 1 + 0 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 1. Let w = 7.1 + r. Let l = -1.05 + 0.05. What is the smallest value in w, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7439 - 7440. Let x(c) = 2*c - 1. Let j(d) = -1. Calculate t*x(l) + 2*j(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1443 - -13?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 4485*w**2 + 4677*w**2 - 1 + 3*w - 5 wrt w.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcccpcpcp. Give prob of sequence ccp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/27 - (-330)\/(-27). List the prime factors of 10\/60 + (-766)\/c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-4))\/(6*1575\/108)*(-14)\/3.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -6, -8, -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 2. Let n(m) = 62. Let k(f) = 12*d(f) - n(f). Let z be k(-12). Calculate the highest common factor of z and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -15. Suppose x*c + 8 - 20 = 0. Solve -3*b = -b - c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57451 (base 8) to base 13.\nAnswer: b11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-8)\/72).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187 - -191. Suppose -5*r - 4*a = -47, r + 2 - 23 = 5*a. Calculate the remainder when r is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22881 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + 3. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*y - 12*y**2 - 2 - 2*y**3 + 14*y**2 - 1 + 3*y**3 - 3*y**4 in the form x*y**2 + i*y + t*y**3 + r + s*y**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 - -1) - (-1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w - 1. Let d be r(1). Suppose d*v - 20 = 2*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 2*y - 3. Let f be (-6)\/(2\/(-8)*6). Calculate x(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 408.6718 millennia?\nAnswer: 408671.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23001, -43374, -63733, -84072, -104385?\nAnswer: -124666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 29. Let p = -8.5 - o. What is the nearest to -1 in -1, p, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -25*x + 255*x**2 - 12 - 520*x**2 - x**3 + 280*x**2. Let d be q(13). Let p = 1\/304 + 1819\/1520. Are d and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*7*-24. Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (12 - (1 + 0 + 10) - (-2 - -13))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0425253 from -106.2.\nAnswer: -106.2425253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-2) + 2\/2. Let y be 2\/i*(-6)\/2. Is (y\/2)\/((-1)\/(-326)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8 (b) -256\/5 (c) 5 (d) -0.2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 6*k + 2 = -3*a - 0*k - 9*k, -5*a = 2*k + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 10) to base 12.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 25 - 80 - 106 to m + q*c**2 + s*c and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0307 + -0.0693. Which is smaller: r or 88\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 (base 7) in base 10?\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-175)\/(-2))\/7. Suppose 30 = -0*y + 4*y - 5*g, 0 = -4*y - 4*g + 12. Suppose v = -4*q - 0*q + y*m, m = -q + 5. Is q less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -3*i - 6, -255*i - 3 = -257*i - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 8. Let v be y(-2). Factor -3 - 18*u**v + 19*u**2 + 1 - u.\nAnswer: (u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97415976761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12039294*g**2 - 19979482*g wrt g.\nAnswer: -24078588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*d - 13*d - 14272. What are the prime factors of d?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 163 - 29. Let d = p + -48. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - v + 29 = d, 0 = 2*d - 2*v - 22. Suppose d*i + 8 = 68. Suppose 41 - 323 = -i*u. What is the remainder when u is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-345)\/(-2553)*549\/(-15)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 16*i - 13. Let v be n(15). Let f(q) be the third derivative of q**4\/4 - 2*q**2. Does 6 divide f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292845 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 18.53. Let h = -0.25 - q. Let p = h - 9.28. Which is the fourth biggest value? (a) 0.2 (b) -0.2 (c) 1\/3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x + 3. Let n(i) = -4*i + 4. Let s be (2\/(-3))\/(6\/(-117)). Let w = 8 - s. Give w*v(j) + 4*n(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + l - 3247 + 15089 + 0*l.\nAnswer: l + 11842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**4\/12 + 4*x**3\/3 - x**2. List the prime factors of y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32598, 65193, 97788, 130383, 162978?\nAnswer: 195573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/18 and -115\/3834?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -21 + 6 + (-50)\/6)*-3*5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39127 divided by -8.\nAnswer: 39127\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 544*n**5 - 662*n**3 - n**2 - 493*n - 34.\nAnswer: 32640*n**2 - 3972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 4}. Give prob of picking 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3473 - -13.2527. What is the second biggest value in -0.1, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -21*i - 389. Determine s(-19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.555575ml in litres?\nAnswer: 0.009555575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*-1*sqrt(57)\/sqrt(3).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9720 and 1626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v. Let k(r) = -35805*r**2 + 1. Determine k(c(m)).\nAnswer: -322245*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 8*x + 224. Suppose 4*d + x = 2*a, -2*a - 4*d + 28 = -a. Let p be (-15)\/10*a\/(-6). Solve -3*m + 23 = -2*y + p*y, 0 = -m - 4*y + 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a81 (base 13) to base 10\nAnswer: -1795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -700 and 0.5894.\nAnswer: -699.4106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 84*a + 81. Let s be z(-43). Let n be (-10)\/(-4)*18\/5. Suppose -3 = 2*w - n. Put s, 0, w in ascending order.\nAnswer: s, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 + -576. Round t to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 - 108500*m**2 - 217012*m - 108508 = 0. Calculate m.\nAnswer: -1, 27127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 260. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212146880 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 11*v + 9*v - 17*v - 9, -5*v + 15 = 2*x + 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 7:03 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**4\/6 + 2*o**2 - 3*o. What is the derivative of v(w) wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11226*l = 8898*l - 116400 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 63233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 17 - 1. What is the least common multiple of q and (0 - -26)\/2 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.4 (c) -141 (d) 0.26 (e) -1 (f) 12 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 929, 1890, 3249, 5006, 7161, 9714?\nAnswer: 12665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10194 and 3082.\nAnswer: 15708954","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/7)\/(272\/(-238)). Which is the second smallest value? (a) 0.045 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 236419120 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -103 (c) -2 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 7, c: 1}. Give prob of picking 2 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4*t + 4, -19*u - 3*t + 8 = -15*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 + 24 + 1)*(d**3 + 102 + 111669*d + d**2 - 111669*d) to the form x*d**3 + g + k*d**2 + i*d and give g.\nAnswer: 6630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-972)\/24 + 12993\/122.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 937 divide 1315548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**3 - 4*v. Let f be (-2)\/(-7) - (-38)\/14. Let g(z) = -2*z**f + 9*z - z**3 - 8*z + 2*z**3. Determine -9*g(d) - 2*n(d).\nAnswer: -d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - t**2 - 10*t + 154. What is q(4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11876?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*b + 1162*b + 40 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3243996.\nAnswer: 2, 3, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42\/149 - 2494\/4619. Let v be 1558\/1722 + (-2)\/(-42)*2. Which is bigger: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from seeqbqbss?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22 and 0.09?\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -229, -231, -233, -235, -237, -239?\n\"Answer: -2*k - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 3*r - 5*r)*(92 + 0*r + 2*r - 203) in the form l + w*r**2 + j*r and give j.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 - 63*b**4 - 411*b**3 - 657*b**2 + 1134*b = 0?\nAnswer: -9, -7, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1493790092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndhy when four letters picked without replacement from ynhdyydddhhyyddhdy?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4247, 4246, 4245, 4244, 4243, 4242?\n\"Answer: -v + 4248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 86\/3. Let i = -67 + 69. Which is the second biggest value? (a) u (b) -2\/9 (c) 0.3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4 and -9\/932.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 11201?\nAnswer: 11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -35 + 35 - 123*n. Let c(o) = -17*o + 4. Let t(d) = 13*d - 3. Let v(w) = 3*c(w) + 4*t(w). What is s(v(f))?\nAnswer: -123*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -723.461954 to 1 decimal place.\nAnswer: -723.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1*10\/2. Suppose 0 = -82*y + 81*y - 4. Sort y, 3, m.\nAnswer: y, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140160 divided by 46720?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-32609883.\nAnswer: -16304941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3465884.\nAnswer: 2, 866471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 2\/5 (c) -11 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239 - -289. Is c greater than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91, 200, 311, 424, 539, 656, 775?\n\"Answer: c**2 + 106*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 2*q + 2*q)*(-7663*q**2 + 7374*q**2 + 5987*q**2) in the form a*q**3 + h + x*q + u*q**2 and give a.\nAnswer: -5698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4\/4 - 15*s**3\/2 + 117*s**2\/4 + 305*s + 429 = 0.\nAnswer: -3, -2, 13, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.7 (b) -115 (c) -5 (d) 0.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from {y: 3, e: 6, d: 2, s: 5, z: 1, u: 3}.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = q - 0*o + o, -4*o - 8 = -13445*q + 13443*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/(-35))\/(4\/(-50)). Let a = -21\/2 + c. Which is smaller: a or -0.07?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161609 = -5467*r + 746578 for r.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 772, 1612, 2556, 3604?\n\"Answer: 52*l**2 + 684*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 3*f**4 + f**3\/3 - 9*f**2\/2 - 8*f - 2. Find the second derivative of d(a) wrt a.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, -35, 1, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13 = -4*q, -4*t + 1 - 18 = 5*q. Let g = -0.0311 + 0.3881. Let w = g - -0.043. What is the second smallest value in -0.3, w, t, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 18*p + 67. Calculate d(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448132227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 78 - 229?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2999, -2658, -2317, -1976, -1635, -1294?\n\"Answer: 341*q - 3340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1202 (base 3) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -1\/4 (b) -0.3 (c) 617 (d) 27.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 328543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*z = -470, 4*l + 0*z + 382 = -2*z. Let c = l - -95. Let m be 2 - c\/(-10)*-2. Which is bigger: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5817 or 5818?\nAnswer: 5818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1459\/5 - -2) + 40\/(-50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2889 is divided by 777?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(14\/3 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 38192399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3792.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 3, j: 3, o: 3}. Give prob of sequence ho.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 51*o**2 + 2*o + 1. Let y be 25\/15 + 5\/15. What are the prime factors of z(y)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*x + 559 + 46 = 0, 0 = -2*c - 3*x + 237. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 37052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000100000110100011111 (base 2) in base 14?\nAnswer: -bd3b1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618483880 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: Evaluate (180\/240)\/((-2)\/48).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**3*h*i**3 - 5*b**3*h*i**2 + 2*b**3*i + 2*b**3 + 2*b**2*h*i**3 - 3*b**2*h*i**2 wrt i.\nAnswer: 60*b**3*h + 12*b**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*v = -2*o - 239*v + 19, -2*v = -4*o + 58 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6495, -13893, -21291, -28689, -36087, -43485?\n\"Answer: -7398*j + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 39*y**2 + 245*y - 30. Give v(-31).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1649084 is divided by 19398.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 2\/11, -0.067, 2\/3 in ascending order.\nAnswer: -0.067, 2\/11, 2\/3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 129*k**3 + 4380*k**2 - 195*k + 280. What is h(-34)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13386205 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9.3 times 17\nAnswer: -158.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-418)*(-2)\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {u: 1, w: 2, d: 2, s: 1, e: 1, l: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -380348, -380346, -380344, -380342?\n\"Answer: 2*x - 380350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/4 (b) 167 (c) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let i(n) = 19*n**2 - 31*n**2 + 13*n**2 - 36*n. Give u(i(t)).\nAnswer: -t**2 + 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 820.5 >= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 4*h**2 - 1. Let w be v(-4). Let r = 6 - w. Sort -3, 1, r.\nAnswer: -3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48\/13 - -1229\/104. What is the common denominator of l and 53\/150?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 46460*b - 604114. What is u(13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190841*-0.189.\nAnswer: -36068.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512*l + 36 = -508*l. Suppose 0 = -27*k + 144 - l. Solve -x + 2*p = -k*x + 6, 4*p = 2*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18278 and 171?\nAnswer: 164502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 2*u - 76, 835*n + 13*u - 8*u + 206 = 846*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05469 + -0.0725. Round g to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -3 + 3 + (-6 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 80, -0.0252?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 5, w: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 638*o + 7. Let y = 38 - 29. Is j(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17817510218 - -28.\nAnswer: -17817510190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 + (-28)\/(-12). What is the third derivative of -4*p**6 + 5*p**2 + p**6 - 3*p**v wrt p?\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1595289002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104542?\nAnswer: 2, 167, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-1)\/28*-7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2025 and -0.69.\nAnswer: -1397.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 481 or 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 12*g**2 - 11*g - 52. What is y(13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -6*q - 8. Let x be 1 + -2 - (11 - 0). Let z be 2159\/q + 3\/x. What is z rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 55*p**3 - 200*p**2 - 140*p.\nAnswer: 5*p*(p - 14)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 3 + 0)*(5*d - 4*d + d) - 2*d + 0*d - d + (d + 2*d - 4*d)*(6 - 6 + 3) to o*d + b and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 8:12 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-30)*-4)\/(464\/(-96)).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -38*p + 773. Give d(15).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 62 = 2*s - 16, 5*s + 31 = 4*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21351 divided by 72.\nAnswer: -7117\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-33) - 16)\/(2\/(-12)*(-16)\/(-8))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 4. Let h(j) = 35*j + 1. Let k be h(z). Let w = k + -21. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 21*h**2 + 175*h + 351. Let c be r(-27). Solve 2 = -m, t + c*t + 4*m + 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 3. Let o be a(-5). Let m(q) = -q - 4*q + o*q. Let t(w) = w**2 - w - 1. Let d(s) = 3*s**2 - 5*s - 5. Let f(u) = -d(u) + 5*t(u). Give m(f(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1)*-145 + 1. Let n be 1*(0 - (-3 - y)). Suppose -j = 3*l - n, 2*l + 8*j - 82 = 3*j. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1758229 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (459\/(-9) - -27) + 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.221 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b - 74. Let k be v(6). Factor 3*m**4 + 36*m**2 + k*m**2 - 13*m**2 + 0*m**4 + 9*m - 24*m**3 - 39*m.\nAnswer: 3*m*(m - 5)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -12, -18.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.37 - 1.63. Put -4, 4, k in ascending order.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 3 + 12 + 116*t to y + g*t and give g.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - 119\/56) + 4*1. Which is greater: -6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*p - p. Suppose -24 = -2*s - p*s. Let j(m) be the third derivative of -m**6\/120 + 7*m**5\/60 - 7*m**4\/24 - m**3 + 3*m**2. Determine j(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.015186 - 5.\nAnswer: -4.984814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*y**3 - 5*y**3 + 4*y**3)*(-4 + 4 - 1) - 2 + 2*y**3 + 2 + 2 - 2 + 3*y**3)*(-4 + 0 + 3).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 5342720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2495 - 1750. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-1))\/((-2)\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 smaller than -3335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.359 minus 175695815?\nAnswer: -175695815.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 9, -1\/3, 28672?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90 - 2*c - 55*c**3 + 18*c**3 + c**2 - 95 + (3*c**2 + 0 + 0)*(-2*c - 2 + 2).\nAnswer: -43*c**3 + c**2 - 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 1 + 14 = 6*a, -4*r - r - 45*a = 23*a - 27 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040835 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 14. Let t be p(-13). Sort t, 0.4, -0.2 in descending order.\nAnswer: t, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**6\/40 + i**3\/3 + 3*i**2\/2 - 3*i. Let z(o) be the first derivative of p(o). Find the first derivative of z(l) wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*o - 148*o = -46*o + 3303 - 223 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*a - 183*h = -1284, 4*a - 6*h + 10*h - 32 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/4 - 41*a\/4 - 84 = 0. What is a?\nAnswer: -7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5295*w**3 + 880*w - 1 wrt w.\nAnswer: -31770*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, -0.1, 84, 5, -2?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 4. Let y be b(0). Suppose -h = y*h + 15. Calculate the least common multiple of 11 and h\/3 + (2 - -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132599 = -3*o + y, y + 4*y = -2*o + 88405. Suppose -9*l - o - 800 = 0. Round l to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6*s + 70 = 0, -a + 3*s - 11 + 6 = 0. What is the highest common divisor of a and 4330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 10*m + 1. Determine b(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w**3 + 0*w**4 - 11*w**3 + 2*w**2 + 1 + 4*w**4 in the form f*w + x*w**3 + q*w**4 + a + s*w**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17*i**2 + 2*i + 2. Let j(d) = -630*d**2 - 75*d - 75. Determine -2*j(p) - 75*m(p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235) - (sqrt(4235) - -1*sqrt(4235)) - sqrt(35) - (2*sqrt(210) - sqrt(210) - sqrt(210) - sqrt(210) - sqrt(210))\/sqrt(6))\/(2*sqrt(405)*1) + 0.\nAnswer: -5*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -302005?\nAnswer: -3322055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(2)*-2) - (sqrt(88)*-1)\/sqrt(8) - ((sqrt(11) - (sqrt(55)\/sqrt(5)*1 + sqrt(11)))*-3)**2.\nAnswer: -99 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) - (-6 - (-120)\/18). Put y, 4, 0.3, 3 in increasing order.\nAnswer: y, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -72. Suppose -5*m - 3*q - q + v = 0, 4*m - 24 = -4*q. Find the third derivative of -4*i**2 + 2*i**2 + i**2 - m*i**5 wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*b + 43, -b + 263 = 5*z + 232 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181446101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*q, -4*m + 4*q + 8 = -12. Let g(i) = i**3 - i**2 + 2*i + 1. Let h be g(m). Let x = -135 + 138. Solve -6*r + h = -x*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 11*o + 5*i + 3904, 4*o - i = -2594. Put 1, o, -3 in decreasing order.\nAnswer: 1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64 + 213 - 1394*x**3 - 743 + 221 with respect to x.\nAnswer: -4182*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-5 - -8))*(-11 + 1974\/126)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n + 44 = 0. Let w(g) = g**2 + 10*g - 6. Let z be w(n). Let o be (2 + 9\/(-6))*10. Solve -z*y - 1 = p, -p + 2*p + 1 = o*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-184)\/(-48))\/((-6)\/(-4)). What is the closest to -8 in -51, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o + 4*t - 68, -120 = -5*o + 2*t. Find the second derivative of -22 + o - k**4 - 2*k wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -9*n + 3. What is the remainder when n is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y + 5 = 0. Let b = -11 - -13. Let d(s) = -s + 4 + 4*s - b + 3. Determine d(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/7)\/(f**(-4)*f*f)*(((f*f*f**1*f)\/f)\/f)**(-1\/12))**(-6\/19) assuming f is positive.\nAnswer: f**(-101\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + j - 1. Let b(y) = 21*y**2 + 4*y - 8. Calculate -b(d) + 6*q(d).\nAnswer: -27*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 + -132. Let d = q + 237\/4. Let y = 3 + -2. Which is the nearest to y? (a) 0.4 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -7\/244 (b) 2\/19 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2604\/380 - (-131)\/(-2489))*-10.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2. Let s(w) = 2*w - 3*w - 2*w - 2*w. Let n(c) = 98*c - 198*c + 97*c. Let y(j) = -5*n(j) + 2*s(j). Give p(y(a)).\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 19*v + 32 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136\/7*m**2 + 2\/7*m - 278\/7*m**3 + 20*m**4 + 0 = 0 for m.\nAnswer: -1\/70, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 326.2 + -325.8. Sort k, -2\/5, -3\/5, 1.3 in descending order.\nAnswer: 1.3, k, -2\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**2 - 95*f - 28. Let r(d) = -6*d**2 + 48*d + 15. Give 4*l(t) + 7*r(t).\nAnswer: 2*t**2 - 44*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 6*y - 7. Let u(r) be the second derivative of r**4\/12 + 2*r**3\/3 + 5*r**2\/2 + r. Let c = 34 - 29. What is c*w(d) + 7*u(d)?\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40992, -81849, -122626, -163323, -203940?\nAnswer: -244477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 8*z**2 - 14*z - 7. Let d be s(-6). Suppose -180 = -7*i - d*i. Is -74*(i\/6 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40*((-5)\/(-2)*(-92)\/460)\/(-1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249*d**2*x + 1762*d**2 - 1520*d*x - 1100*d - 1 wrt x.\nAnswer: 249*d**2 - 1520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 12840471?\nAnswer: 64202355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1000.5034 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169216 is divided by 78.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**7\/a*a*a)\/a*(a*a**(1\/3))\/a*(a\/(a*a*a*a**(2\/3)*a))**3*((a**(-2\/5)\/a)**22)**(-50) assuming a is positive.\nAnswer: a**(4612\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*y - y = -442, 2 = -y. Let l be s\/40*(9 - -1). Suppose -q - l = -2*o - 0*o, 4*q + 16 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 12, 0, -2 in descending order.\nAnswer: 51, 12, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7606189 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 (base 12) in base 14?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 5, 87 in decreasing order.\nAnswer: 87, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 444\/925*1105\/2652\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-243)\/6*((-256)\/(-48))\/(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80055 - 55988. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 - 33*c - 15. Let f be o(-6). Let m be 4 + -71 + -6 - (-1 + 1). Let n = m + 82. Solve n = f*s - 0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from nsinuruuunttsus?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 11:37 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/113 or -239?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - (-2 + 2) - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*y - y = -1028, 5*y - 528 = -2*z. Let m = z - 60. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44080 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88244 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*h + 153*h**2 + 9*h**2 - 5*h**4 - 35*h**3 - 40*h**3 + 12*h**3 - 25*h**2 + h**5.\nAnswer: h*(h - 10)*(h - 1)**2*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 705264 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(11)*-2*4)**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/(30\/(-80))*5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.088224ug in milligrams?\nAnswer: 0.003088224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*-487\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (3 - (7 + 1 - 6)) - (-76 - 0)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 7*c - 22. Give l(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6\/7, 47, 8, 0.2, -5, -3 in decreasing order.\nAnswer: 47, 8, 5, 0.2, -6\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78 - 15*a + 18*a - 93 - 266 - 110 to b*a + t and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4781 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 652466132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 36 = 87. Suppose -l = -4*d + 119. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t**2 + 14*t. Let v(a) = -18*a**2 + 29*a + 1. Let p(m) = -7*r(m) + 4*v(m). Let h(q) = 2*q**2 - 18*q - 3. Calculate 4*h(y) + 3*p(y).\nAnswer: 2*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i*i\/i**3)))\/i**(-28\/9)*(i**(1\/7))**(-1\/19) assuming i is positive.\nAnswer: i**(1321\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let n(i) be the second derivative of 7753*i**3\/6 - 4243*i. What is s(n(w))?\nAnswer: 60109009*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/75*-5*18. What are the prime factors of 596\/w - ((-100)\/15 + 5)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 2:15 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + 0.08. Let r = -3 + m. Let f = r + 2.8. Which is the biggest value? (a) 0 (b) f (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3205*1*69\/46*(-8)\/(-5). Calculate the greatest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 0*a**3 + a**3 + (4*a + a - 4*a)*(-3*a**2 + 2*a**2 + 0*a**2) + 20*a**3 - 12*a**3 - 22*a**3.\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 464766 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33306 + 56593. Let o = n + -419275\/18. What is the common denominator of o and 10\/(-15) - 1100\/24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*25\/(-20)*4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64112 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 15 = -13. Let i be -6*(-3 + f\/4). Let s(v) = -v**2 - 8*v - 8. Let w be s(-6). Put w, -1, i in descending order.\nAnswer: w, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 194 and 272?\nAnswer: 26384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7817 + 1.2817. Which is the second biggest value? (a) 0.3 (b) 6 (c) -2\/5 (d) y (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = -4*j + 4*m, -m = -5*j - 3. Suppose j = 3*l + 2*l - 675. Calculate the highest common divisor of l and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10126b (base 12) to base 7.\nAnswer: 2063402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t = 27*t + 60. Let l be -1 + (0\/(-2))\/2. Let b = l - -3. Solve -7 = -t*h - b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15828 and 11?\nAnswer: 174108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -157, -218, -261, -280, -269, -222?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*t**2 - 9954*t + 541858?\nAnswer: 50*t - 9954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2 - 29791*h + 10224 with respect to h.\nAnswer: -4*h - 29791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 12. Let y be (-3)\/((5\/2)\/(-5)). Let i(h) = 984. Let n(l) = 281. Let c(b) = 2*i(b) - 7*n(b). What is y*c(q) + x(q)?\nAnswer: -q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, c: 7, t: 3}. What is prob of sequence zzzc?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/17, -0.4, -0.11, 7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 2*b + 2. Let p be c(-2). Let u be (-4 - 35\/(-10)) + 1. What is the nearest to -1\/5 in u, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -9172979.\nAnswer: -2751893.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -219\/55, 0.5, -27, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/125 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 135.4 and 11.7.\nAnswer: 1584.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(132)\/sqrt(11).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 1:20 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 77 - 127 = 0. Suppose -20 = 2*f - 7*f + j, -3*f + 12 = -5*j. Let v(r) = 0*r - r**3 - 3 - f*r - 6*r**2 + 8. Calculate v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*g + g**2 + 30*g - 27*g**2 to s*g**2 + n*g + i and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*y**2 - 12*y**2 + 21*y**2 + (-1 + 3 - 1)*(-4 + 4 + 2*y**2) - y + 2*y**2 + y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22616*r + 1362013 - 1362013 to v*r + s and give v.\nAnswer: 22616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 92*a = 91*a + 36, 2*m + 8 = 2*a. Which is bigger: m or -594\/71?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23240 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.915518 + -231.915946. Let v = 203 + r. What is v rounded to 5 decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647 + (84\/22 - 2\/(-11))?\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13135 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/(-2)*51*(-5735)\/9435?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20385238039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, 34 in descending order.\nAnswer: 34, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**7\/21 + r**6\/6 + 7*r**3\/3 - 15*r. What is the second derivative of b(i) wrt i?\nAnswer: -40*i**3 + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 147 - 53 = 0. Suppose -95 = 7*f - 2*f. Let m = -9 - f. Calculate the greatest common factor of a and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 5*x**2 - 5. Let h(k) = -3*k**3 - 9*k**2 - k + 9. Let c(t) = -3*h(t) - 5*l(t). Determine c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, -1, -3.\nAnswer: -15, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2919269*d**2 + 2918051*d**2 + 6*d**3 - 5837320*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10.3 (b) -6\/17 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-2 - 0) - 1. Suppose v*l + 0*l = 0. Suppose -6*u - 22 = -8*u + 4*j, 0 = 3*u + 5*j - 11. Sort u, 3, l.\nAnswer: l, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/263060 and -59\/9101876?\nAnswer: 45509380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4864 is divided by 4778.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 0 + 3*m + 3*m.\nAnswer: 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19438*v + 1555049. What is x(-80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 29, -97 in descending order.\nAnswer: 29, -2, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -52 - 138*s + 153\/2*s**2. What is the first derivative of u(f) wrt f?\nAnswer: 153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s**3 - 478*s**2 - 945*s + 21. Determine q(-2).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) 0 (b) -2 (c) -0.08 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 771 divided by 3\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -28.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8 + 2*g**2 - 9.\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 8*s + 60. Let h = -25 - s. Let z be 4 - (3 + 4 + h). Solve -5*u + 10 = 4*x, z*x + x - 11 = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*b**2 + 37*b**2 - 24*b**2.\nAnswer: -89*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -513*f + 2567, -11 = -3*w - 4*f + 25 - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - r, -5*g + 3*r = -2*g + 6. Let h = g - 5. Let t = 0.09 - 4.09. Which is the third biggest value? (a) -2\/17 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 2 - 3 + w + 1 to the form a + d*w**2 + c*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221021000 + 102200?\nAnswer: 221200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**2 + i + 1. Let k(q) = 12*q**2 + 2*q. Determine -6*k(c) + 11*p(c).\nAnswer: -6*c**2 - c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526464 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452753 - 274091 = 16701*z - 773295 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 - 2)*18\/(-21)*-1. Let m = 29 + -31. Let k be (2 + -3)*(-18)\/(-45)*1. What is the nearest to t in k, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4100594 to the power of 1\/2, to the nearest integer?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-10))\/((-4)\/(-10)). Let z = 35 + k. Calculate the least common multiple of z and 18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + 78 = 4*l, -l = 5*b - 33. Suppose -4*n + l = -7*n. What is the units digit of ((-2)\/n)\/((-3)\/(-189))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.4 + -2.4. Let b = c + -9.99. Let m = 10 + -5. Sort -3\/5, b, m in descending order.\nAnswer: m, b, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242294847 is divided by 234.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 699.04, 2, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170509 is divided by 40362.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.1, -46\/25, 4, 0.3 in descending order.\nAnswer: 4, 0.3, 2\/7, -0.1, -46\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 75 - 153 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 9*i + 8. Give d(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + m = -24, 4*m + 0*m - 4 = -4*k. Let o be (-6)\/30 + 123\/15. Suppose -3*h = -j - 6, k*j - j - 4*h = o. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 7. Let r be i(4). Let w be 2 - -2 - 54\/r. Suppose 0 + 2\/5*x - 2\/5*x**2 + w*x**4 - 2\/5*x**3 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k. Let p be (-28)\/(-2) - 12\/1. Let w(s) be the third derivative of 1\/8*s**4 - 39*s**p + 0 + 0*s + 0*s**3. What is t(w(d))?\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 336*q - 1667. Determine w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*o - b, b = -0*b - 1. Let q = 37 + o. Suppose 0 = 3*z - 5*z + 26. What is the remainder when q is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 40*w**2 - 45*w - 90.\nAnswer: -5*(w - 6)*(w - 3)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 7813106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 56. Let g be t\/(-6)*(-4 + 7). Suppose g*q = k - 27, 5*q + 180 = 5*k - 0*q. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 5)*(3 - 1 - 4) + (1 + 1 - 4)*(-1 + 4 - 2) - 5 + 0 + 6)*(2*a + a + 0*a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27904*g**3 - 27847*g**3 + 55748*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r + 28*r + 8*r + (2*r - 2 + 2)*(3 - 4 + 3) + (3 + 12 + 6)*(-5 + 4 + 2 + r) to the form j*r + k and give j.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 19 - 540*m - 51 - 45. Is a(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 21.1.\nAnswer: -105.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (1 + -2)) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*r + d, -5*r + 2*d - d + 5 = 0. Suppose 2 = -4*o + 10. Suppose 5*j - 36 = -3*u, 24 = -u + 3*u + o*j. Sort u, r, 3, 5 in decreasing order.\nAnswer: u, 5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*q - 3 - 1, -4*t - 22 = 3*q. Suppose 7 = -7*s - 14. Which is bigger: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 132*u + 961. Let s be v(-7). Which is the third smallest value? (a) s (b) 1.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:45 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(120)\/sqrt(8) - sqrt(15)))\/(-3*sqrt(147)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = 5*s, 3*m - 5 + 14 = -s. Which is the second smallest value? (a) -3\/4 (b) 2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 4392 = -4424. Let f(h) = -h**3 + 9*h**2 - 4*h. Let q be f(8). Let g be 4\/q*4*w. Sort -1, 9, 0, g in decreasing order.\nAnswer: 9, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226 and 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -2 + (2 - -32). Let t be (16\/f)\/(2\/(-5)). Let z = 0.1063 + -0.2063. Which is the closest to z? (a) 5 (b) 2\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21333?\nAnswer: 3, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**2\/3 + 11966*i\/9 - 1712\/3.\nAnswer: 2*(3*i + 856)*(7*i - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42, 155, 340, 597?\n\"Answer: 36*z**2 + 5*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 556*u + 1114. Let h be m(2). Sort -84, 14, h, 2 in ascending order.\nAnswer: -84, h, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*y - 9*y - 50, l = 5. Let m = y - -8. Let s be 0 + 4 - (m + -3). Put -3, s, 4 in increasing order.\nAnswer: -3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.8039. What is o rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-9)\/972)\/(4\/(-6))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -27. Solve -g = -p + 6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/222371552 and 35\/202432.\nAnswer: 444743104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w + 2. Let k(f) = -1. Give d(m) + 2*k(m).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) -0.2 (b) 2 (c) 805\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u + 1. Let b(p) = p. Let o(i) = -6*b(i) + l(i). Calculate o(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b + 0 + 1\/4*b**2 = 0. Calculate b.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/160*-5 + 1 + 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*t - 5*d - 25 = 225*t, -2*d - 7 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = -1. Suppose -3*k - 1 = -t - b, -3*t - 3 = -3*k. Solve 3*y + 2 = -k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:50 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let d(v) be the second derivative of -19*v**7\/1260 - 5*v**4\/6 + 8*v. Let r(s) be the third derivative of d(s). Determine r(m(h)).\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8610, 8614, 8620, 8628, 8638, 8650, 8664?\n\"Answer: d**2 + d + 8608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1700, -27, 21 in increasing order.\nAnswer: -27, 21, 1700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 - -109.907. Round c to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33347425747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, i: 2}. What is prob of sequence yyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1 = -9. Let f be 4*(-5)\/(-70) - 3\/35. Which is the nearest to u? (a) -2 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38627 is divided by 3862.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 4. Let d(a) be the third derivative of -a**4\/24 - 5*a**3\/6 - 4*a**2. Suppose 2*v + 3 = p, v + 45*p = 47*p + 3. Determine v*d(c) - 4*n(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 10*v - 3*v - 13)*(1 - 1 - v + (-3*v + 3*v - 2*v)*(-2 + 2 + 2) + 1 - 1 - 2*v) to the form k*v + a*v**2 + r and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -17164.43413 to the nearest one hundred.\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -6*v + 0 + 0*v**2 + 1\/4*v**4 + 0*v**3. Let d(b) = 2*b. Give f(d(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 232?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 11*r**5\/60 - 13*r**4\/24 - 13*r**3\/6 + 2*r**2 + 262. Let v(q) = -5*q**2 + 6*q + 6. Determine -6*g(o) - 13*v(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31201381.\nAnswer: 1471, 21211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uggl when four letters picked without replacement from luggsgu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 2*u**4\/3 + u**3\/3 + 3*u**2\/2 - 26*u. What are the prime factors of g(-3)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92 - 7?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 7 - 32. Let w be (-2)\/(-2) - (-9)\/(-7). Let n = -0.015 + -0.985. Which is the nearest to w? (a) -2\/3 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 5*v = 3097. Let p(i) = 7*i - 3. Let q be p(12). Let k = v - q. Does 41 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30270243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l + 63. What is j(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**3 + 5*c**2 - c + c**2 - 118*c**4 - 5*c**2 + 117*c**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:44 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 59. Is -17 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ca31 - 24?\nAnswer: 5ca0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**1\/k))\/k**(-1\/7) assuming k is positive.\nAnswer: k**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -0.05 (c) -2027.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167098399 to the power of 1\/3, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/277063?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1521, 1543, 1597, 1689, 1825, 2011, 2253?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 b when four letters picked without replacement from bzzhtzzcbhh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 845 - 843. Suppose 2*f + 3*q + 96 = -f, -32 = f - q. Let i be f*b*2609375\/10. What is i rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1558*m**4 + 522*m**3 + 576982*m**2 wrt m?\nAnswer: 37392*m + 3132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 55, 4, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 63665107.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23 - ((-2)\/2 - 0). Let k be 604\/h - (-2)\/(-12). What is k rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 8\/((-40)\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 3 - 7*d + 10*d)*(-4*d**2 + 0*d**2 + 3*d**2).\nAnswer: 4*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 4 + 0)*(-x**2 + 2 - 2) - 6*x**2 + 3*x**2 + 6*x**2)*(2 - 2 + 1 + 2*x) in the form u*x**2 + f + o*x**3 + c*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4644*d**4 - 277*d**2 - 23362364?\nAnswer: 18576*d**3 - 554*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 + 1. Let m(p) = -18*p**2 - 6. Let i(j) = j**2 + 1. Let q(g) = 4*i(g) + m(g). Calculate -8*f(v) - 3*q(v).\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 345 - 349. Suppose -3*m = 4*x + 2 - 5, -5*x - 30 = -3*m. Suppose 2*z - 3*z = m. Which is smaller: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 328 = 6*a. Let g(y) = -3*y**2 - 40*y - a*y + 81*y. Let m(s) = -5*s**2 - 3*s**2 + 4*s**2. Give g(m(n)).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, -16, 3, 237 in ascending order.\nAnswer: -28, -16, 3, 5, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + -8 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 8*z**2 + 6*z - 1. Let x(f) = f**3 + 22*f**2 + 22*f + 28. Let i(d) = 45*d - 6 - 26*d - 24*d. Let y be i(3). Let g be x(y). What is a(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1227199 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -33059 - -5?\nAnswer: -33054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 6*i**2 + 5*i. Let b = 2 + 4. Let h(c) = 7*c**2 - b*c - 25 + 25 - c**3. Give 6*h(u) + 7*v(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 5*r + 15, -5*y - 4*r = -70. Let o(a) = a**3 + 5*a**2 - 2*a - 6. What is the remainder when y is divided by o(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 436680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqvdfgfddfddv. What is prob of sequence ffdf?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 37*q - 1172. Let z be f(33). Solve z - 29 = 5*u, -2*d - 5*u = -32 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 3.8, -2, 0.2, -3\/4?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r - 14. Let j be c(2). Suppose 4*d + j*d - 1164 = 0. Solve -94*t - 9 = -d*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-52)\/(-24))\/((-30)\/24). Find n such that -8\/3 - 8\/3*n - l*n**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-5) + 18\/(-14). Let j = -3 + 6. Let q = j - 3.1. Which is the second smallest value? (a) q (b) d (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in 0.18, 4, 0.3, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64574 + -64572. Factor -1\/2*s**4 - 29\/2*s**3 - 112*s**j + 0 - 98*s.\nAnswer: -s*(s + 1)*(s + 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00949441 to 5 decimal places.\nAnswer: 0.00949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3297216 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 4. Let g be (-2)\/m + 17\/20. Let z(j) = -j**2 - 14*j + 33. Let s be z(-16). Is s greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixxiila. What is prob of picking 1 l and 2 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - m + 121 = 0, 0*o - 3*o = -m - 89. Suppose 4*z + z - o = 0. Solve 3*j = j + z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1506 + -838. Suppose -3*s + 235 = -o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 5*q - 35 as o + j*q and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 23. Suppose i = -i - d. Sort i, 3, -3.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1 - 6)*1. Let q(o) = -o**2 - o + 20. Let k = -61 + 55. Let n be q(k). Is n not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(832) - (sqrt(832) - (sqrt(832) + -1))) + -4)*-3 + 4)**2.\nAnswer: -31396 + 3648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, 4, -1, -4 in ascending order.\nAnswer: -11, -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 269*f - 720*f - 1 - 479*f to u*f + t and give u.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 10*f**2 + 7*f - 140. Let t be m(9). Is t at least as big as 1385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -2*a**7\/21 + 2*a**6\/15 + a**5 - a**4\/3 - 16*a**3\/3 - 8*a**2 + 3*a + 12. Factor o(m).\nAnswer: -4*(m - 2)**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 7*s - 10. What is q(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 30 + 13 - 21 - 48?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742604 is divided by 148497.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 1502, 3150, 5456, 8420?\nAnswer: 12042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126693262 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*a**4 - 30*a**3 + 19*a**2 + 10*a + 11 wrt a?\nAnswer: 1200*a - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1600922 is divided by 201.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 1288 = 66*o. Let u be (-808)\/(-10) + o\/(-140) - 1. What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-900)\/(-825)*12\/(-18).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 4*k**2 + 3*k**2)*(1 - 1 - 3*k**2) - 3*k**4 + 3*k**4 - 2*k**4 - k**3 + k**3 - 2*k**4 + (3*k**3 + 0*k**3 - 2*k**3)*(-4*k - 3*k + 6*k).\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 10981 = -11377 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 17?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1640894 divided by -1\nAnswer: 1640894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28920 by 5784.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 7*j - 5*j)*(-1 - 1 + 0)*(1 + 1 + 0)*(-5 + 5 - 1 + (-3 - 2 + 3)*(-3 + 0 + 1) + 0 + 4 - 6 + 1 + 6 - 5 + 4 - 3 - 2).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f**(5\/6)\/f*f*f))*f**(-11)*f assuming f is positive.\nAnswer: f**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**5\/60 + m**4\/6 + 4*m**3\/3 + 528*m**2. Let n(q) = q**3 + 6*q**2 - q. Let t = 12 + -18. Let v be n(t). Give i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -14*u**2 + 19784 - 19784. Suppose -6 = -2*x - 2. Let q = -3 + x. Give w(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*m + 86 - 21, -2*l + 75 = -5*m. Suppose -3*j + 2800 = 2*j. What is the greatest common divisor of j and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 10*v - 11. Let w be c(-6). Let h = 26 + w. Solve -s = -h*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urru when four letters picked without replacement from uurrrruururuuurrrruu?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234429291.\nAnswer: 3, 71, 366869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 8:16 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -63.5. What is the closest to 7 in 1, 6\/7, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 2*f**3\/3 + f**2 + f + 40. Let p(j) = -4*j**2 - 4*j - 1. Determine -2*p(b) - 5*q(b).\nAnswer: -2*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/u)**(-16)\/(u**0)**39*((u**0)**(1\/71))**(-2\/5) assuming u is positive.\nAnswer: u**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7722681 seconds in nanoseconds?\nAnswer: 772268100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 2, q: 3, x: 4}. Give prob of picking 1 j and 1 p.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-150) - 1196\/(-65)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 23 + 3*j**3 - 11 - 14 to z*j + v*j**2 + m + d*j**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -248918 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 773305.1*1.\nAnswer: 773305.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 278*x**4 + 279*x**4 - 577*x**4 - 22*x**5 + (x - 3*x**4 - x)*(-6*x + x + 3*x) + 0*x**5 + 2*x**5 - x**5.\nAnswer: -15*x**5 - 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -105\/116 (c) -5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*s + 1, -2*b + 7 = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 < -213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(70)*2 + sqrt(70))*5*-2)\/(3*-2*sqrt(10)*-3*1).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -16 + 12 + (-5 - 8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 15.08. Let f = -0.32 - v. Which is the closest to -1? (a) f (b) 0.5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/180 - -83\/1980. Let a(c) be the third derivative of -1\/66*c**4 + 0*c + 0 - s*c**5 + 0*c**3 - c**2. Find m such that a(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-6)\/(-4)*14\/21). Let j(c) = c**3 - 3*c**2 + 2. Give j(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102\/5*v - 26\/5 + 8\/5*v**2.\nAnswer: 2*(v + 13)*(4*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 3 - 3)*(17 + 19 - 20)*(-2 - 2 + 2)*(4 + 1 - 3)*(k - 1 + 1).\nAnswer: -128*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4305024 + -352?\nAnswer: 4304232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and -0.023?\nAnswer: -0.0391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66200?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57351.\nAnswer: 3, 7, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 1312*v - 1256*v - 7 + 6 + 70 - v**2.\nAnswer: -v**2 + 56*v + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39570 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 209, 217, 191, 119, -11, -211?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1012 and 171281?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*g = -5*l + 15, -3*l - 3*g + 27 = 0. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6 + (-200)\/(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -14.5. Let j = 6 + x. Let c = -928 - -926. Sort j, -6\/13, c in increasing order.\nAnswer: c, j, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*-3 + sqrt(66))*-5*6)\/((sqrt(6) - (sqrt(600) + sqrt(600)*-2 - sqrt(600) - sqrt(6)))*-6).\nAnswer: -5*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 80 = -3*c. Solve g - 20 = 3*f, 2*g + c = 4*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -281061011, -281061010, -281061009, -281061008?\n\"Answer: a - 281061012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 6. Let h be k(4). Let t be 1 + (1 + h - 8). What are the prime factors of (-2)\/t + 38\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2 + (-3)\/2. Put 4, b, -2 in decreasing order.\nAnswer: 4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -11. Suppose -2*h + 5*d = a, 5*d - 25 = -8*h + 3*h. Solve -y - h*y + 5*r = -5, 0 = -y + r + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1698*b + 22071. What is v(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 1. Suppose 4*b = -2*u + 6 - 34, -2 = 3*u - 4*b. Let v(d) = -d**2 - 7*d - 3. Let r be v(u). Let f = 8 - r. What is j(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/(-130) - (36\/10 + -1). Let n(g) = g**3 + g**2 - g - 1. Let k(v) = v**3 + 2*v**2 - 2*v - 2. Determine b*k(s) + 6*n(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**2 - l + 46*l**2 + 18*l**2 + l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2464 = -26*x + 630. Is 1 + (-51438)\/(-7) + (-34)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 218281741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4\/4 + 15*b**3\/2 - 39*b**2\/4 - 18*b = 0.\nAnswer: -1, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (3 + (2 - ((0 - 2) + (-11 - -5)))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 33978*g - 6625702. Give p(195).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 295783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:17 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -19. Suppose -5*s = -13 - 27. What is the remainder when s is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:34 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 757845*z**3 + 4547142*z**2 - 9094332*z + 6062904 = 0 for z.\nAnswer: -252621, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 579 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d + 25. Suppose -3*i - 21 = -3*m, i + 18 = -m - 3*i. Factor -x**3 + x - d + 0 + m*x**2 + 0*x + 3.\nAnswer: -(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b547 (base 15) to base 11\nAnswer: 189a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 a factor of 2013593089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28949 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:50 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - y**2 - 4*y**2)*(5*y - 4*y - 3*y)*(26 - 7 + 3).\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 42. Let u be z(-15). Let q(l) = -72*l - 40. Let k be q(u). What is the highest common divisor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c + 220. Calculate s(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*v = 470*v - 201*v - 291*v + 11088 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232*w**3 - 418*w**2.\nAnswer: -1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000031173 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/25 and -1\/2839.\nAnswer: 70975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - -6) + (-3 + 21 - 26) + 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*b + 5 - 27, h + b + 2 = 0. Let x(j) = 2*j**3 - 2*j**2 + 2*j - 1. Let c be x(1). Suppose 4*a = 2*k + c + 13, k + a = 5. Is h > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513925127 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133 - 98. Suppose -9*k**3 - 6 - 34*k**2 - 2 - 26*k**4 + g*k**4 - 2*k**3 + 44*k = 0. Calculate k.\nAnswer: -2, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let x = -7 + 7. Suppose 0 = -2*k - x*k + 4. What is the remainder when k is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x - 3*y - 88, 4*x - 3*y - 343 = 0. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(704) - (sqrt(704) - -1*sqrt(704))) + sqrt(11))*2)**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let s be 14*((-1)\/7 + q). Suppose 237*z - 15090 - 11646 = 4548. What is the greatest common divisor of s and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -9. Let v be (-1170013)\/h - (-1)\/3. What is v rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 8*q**2 - 14*q + 24. Let z be m(10). Let h(t) = -15*t - 6. Let i be h(-2). What is the highest common factor of i and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 10*a**2 - 609*a + 3404. What is q(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (0 - 1))\/(-2). Let y(z) = 2*z**2 - z. Let v be y(x). Let w = v - 0. Solve 17 = 5*r + w*k + 4, -5*r + 2*k = -33 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165216104 divided by -3563352?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/2689325 and 47\/2910?\nAnswer: 16135950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = -0*u, -4*u = q - 20. Suppose -w + q*s + 12 = -s, -4*s + 40 = 4*w. Solve -w - 4 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.030919ml in litres?\nAnswer: 0.004030919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -6*m - 2. List the prime factors of (-9 + 2)*(m + -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.7952579\nAnswer: 0.15905158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63821448?\nAnswer: 2, 3, 37, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-20 - 328)\/12\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/33 or 13731207?\nAnswer: 13731207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -17*x + 62. Let o be u(3). Suppose 14*i = o*i + 18. Solve -4*n - i = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*h - 7 = 0, 2*c - 10 = -3*h + 17 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - 2.3. Let w = 2.78 - -0.22. Let v = w + y. Which is the nearest to 0? (a) -0.5 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.183693ns to microseconds.\nAnswer: 0.008183693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10*m = 6*m + 12, -3*l = -5*m - 18. Let t(y) be the third derivative of y**6\/120 - 7*y**5\/60 + 5*y**4\/24 + 5*y**3\/6 - 4*y**2. Calculate t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6539 + -0.191. Let c = -600.2551 + d. What is c rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z - 2*z)*(-41*z**2 - 15*z + 5*z**2 + 15*z - 37*z**2).\nAnswer: 219*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15638201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7379?\nAnswer: 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 548976309 to the power of 1\/3, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szgzzzgggggzgggsggg. What is prob of picking 3 s and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5246.56 + -5?\nAnswer: 5241.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/54)\/((-64)\/(-96))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35340.432 times -0.5?\nAnswer: -17670.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4)*(-44)\/6. Suppose p*w = 8*w + 18. Let x = -3032 - -3040. Solve -x*m = -w*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162080806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-125)\/(-5))\/((-99)\/(-99)*1\/1)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*l + 4)*(-3*l**2 + l**2 + 0*l**2) + (4*l - 4*l - 2*l)*(-5*l**2 + 5*l**2 + 2*l**2) - 2*l**3 + 4 - 4.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 4, -t = u - 432. Let g be (-8)\/12 + t\/12. Find the third derivative of -g*x**2 - 16*x**2 - 8*x**6 - 14*x**6 + 13*x**2 wrt x.\nAnswer: -2640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Suppose 6 + 10 = -t*w, 4*w = -4*f - 8. Find the third derivative of 3*l**3 + 0*l**2 - l**3 + l**f wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -0.6, 1, -0.01, -2\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 838 + 3*t + 14*t - 9*t - 6*t.\nAnswer: -t + 838","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = n. Let s be 10\/4 - (1 - n). Let u = 5\/9 + -1\/18. Which is the second smallest value? (a) u (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 3*h + h**4)*(-4*h + 1 - h + 3*h).\nAnswer: -2*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2430))\/(-5*sqrt(294) - sqrt(6)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f = -8. Suppose 0 = -3*n + 3*d, -6*n + 25 = -3*n + 2*d. Calculate the lowest common multiple of f and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/9 - (9\/30 + (-133)\/1710)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/(((-52)\/(-120))\/13). What is a rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**3 - g**3)*(2 - 2 - g**2) + (-2*g**3 + 0*g**3 + 0*g**3)*(-g + 2*g**2 + g) - 2*g**5 + 2*g**5 + g**5 - 2*g**5 + g**5 + 3*g**5.\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7609.2 - 6992.29. Let p = 617 - i. Sort -3\/7, -0.4, -3, p in increasing order.\nAnswer: -3, -3\/7, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*b - 1 - 1, -5*m + 19 = -4*b. Suppose -4 = -v + m*v. Let h be 2 + v + 3 + 3. Solve 5*u + 3 = h*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s**2 + 29*s + 1976. Calculate j(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32053\/2 - 16016. Let f = -73241\/10 - -7317. Find the common denominator of z and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 15*p**3 - 2*p**2 + 3*p - 2. Calculate t(-3).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 48*i**3 + 3*i**2 + 6*i + 3. Determine z(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.37 + -88.37. Let w = -31971 - -31970.9. What is the second smallest value in -1, w, 4, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1537190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47581 is divided by 1584.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q + 6. Let t(l) = 15*l - 18. Let i(y) = -7*r(y) - 2*t(y). What is the derivative of i(o) wrt o?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*w - 2*w + 6 = 0, 0 = -2*w. Let h(o) = -2. Let p(j) = -4*j**2 + 2*j**2 - 3 + 3*j**2. Calculate z*p(f) - 3*h(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-8))\/(m\/((m\/(m**18*m))\/m)) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 713?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49287, 49276, 49253, 49212, 49147, 49052?\n\"Answer: -d**3 - 4*d + 49292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50, -8, 56, 142?\n\"Answer: 11*v**2 + 9*v - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461673 - 224*g**2 - 461673.\nAnswer: -224*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let o(n) = -41564 + 85129 + 156435 - 2*n + 3*n. Let j be o(r). What is j rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*q + j, 5*j - 28 = -5*q + 32. Let a(m) = m**2 - 12*m + 13. Let y be a(q). Solve -10 = -3*r - y*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 15, y: 3}. What is prob of picking 2 y and 1 f?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*v**4 - 66*v**4 + 3*v**5 + 39*v**3 + 36*v**2 + 31*v**4 + 12*v.\nAnswer: 3*v*(v + 1)**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, 3, -1, -5 in descending order.\nAnswer: 14, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 15) to base 6\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -5\/387, -5?\nAnswer: -5\/387","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 819787 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2242564636 + 672768183343\/300. Let r = 332341297\/82550 + k. Let v = r + 1\/1651. Find the common denominator of 21\/10 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242640624 > 1242640625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118856 - -61714. Round h to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(125) + 3 + 1)**2.\nAnswer: 90*sqrt(5) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 108, 119, 146, 195, 272, 383, 534, 731?\n\"Answer: s**3 + 2*s**2 - 2*s + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-2))\/(-19 - -23). Factor -v*j**2 + 2 + 0*j.\nAnswer: -(j - 2)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.3*-0.8\nAnswer: 13.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yysyyssy. What is prob of sequence yysy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m + 15 = 2*g, -12 = -2*g - 2*m. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 25. Let y = t + -42. What is the units digit of (y\/(-15))\/(1\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103167.\nAnswer: 3, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84.3 + -84. Which is the closest to -2? (a) -3\/4 (b) z (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 313 - 457. Let g = p - -397. List the prime factors of g.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*m + 85 = 0, -5*m + 3 = -2. Suppose t = -4*t + v. Suppose -5*w = -5*c - w + 48, 2*c - t*w - 24 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a + 25. What is j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 15, a: 3}. Give prob of sequence sasa.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.1 - 11. What is the nearest to -2\/11 in o, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 9*i - 4. Let j be p(-8). Suppose -69 = j*h - 213. Let s(n) = n**2 + 7*n + 6. Let v be s(-9). Calculate the highest common factor of v and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -118*f + 47. Calculate n(-2).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:18 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2898?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/41, -17\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 70, 80, 94?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 69 = 2*w - 3*z, 5*w - 3*z - 105 = 0. Let w - 18 + 9*r**2 - 3*r**3 - 6*r = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27\/20 + -3\/4. Let h = -3.497 - 1.503. Which is the nearest to -3? (a) m (b) 1\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 245\/4. What is the closest to 5 in k, 1\/6, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 + 8*l**3 + l**2 - 12*l**2.\nAnswer: -l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0 - 7 + 3 - y + 6. Let d be z(-2). Suppose -d*h + 123 = -249. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -887937411 and -0.18?\nAnswer: 887937410.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11301176 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17b13a7 - -2?\nAnswer: -17b13a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -2\/7 (b) 53134 (c) 0.1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/10 and -139\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1001101110111101001111 (base 2) to base 11\nAnswer: -1493095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - -3 - -9 - 1. Let g(k) = -2*k**2 + k**2 + 6*k - m*k + 3*k**2. What are the prime factors of g(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - m - 4*m - 145 = 0, -2 = m. Let l = k + -43. Suppose 0 = q + 2*q + l*y - 55, 4*y + 37 = q. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 3*v + 8. Calculate g(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k. Let m be (-6)\/(k + 6\/(-21)). Suppose -2*p + 2*l = -24, 2*p - 4*l = -3*l + m. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -25450*o. Let l(m) = -m**2. Give x(l(d)).\nAnswer: 25450*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2286807 months in years?\nAnswer: 0.019056725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -42. Let o = 1.36 + -0.96. Which is the nearest to -0.4? (a) i (b) o (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 6*t - 15*t)*(-309*t - 69*t + 8*t) + 2 + t**2 - 2 to y*t + d + b*t**2 and give b.\nAnswer: 4441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/11))\/n**(-1))**(6\/17) assuming n is positive.\nAnswer: n**(120\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1113 + -400232?\nAnswer: -401345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 35 = 2*l + 4*k, -4 = 2*l + 2*k. Is 38\/57 - (-157)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430 and 246.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.2, 0, -63 in descending order.\nAnswer: 0.2, 0.1, 0, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -v, 307*v = t + 325*v - 255 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003029245 to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**3*o**4 + 2*b**3*o - 172607*b*o**4 + 1099746*o**2 wrt o?\nAnswer: 120*b**3*o - 4142568*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**5 - 4*h**4 + 96*h**3 + 352*h**2 + 448*h + 192.\nAnswer: -4*(h - 6)*(h + 1)*(h + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1412608 and 122368?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:57 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6584439 is divided by 86?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 79.65886ml?\nAnswer: 0.07965886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14\/15 + -4\/3. What is the nearest to 0.1 in 4, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(2\/((-4)\/(-6))))\/(((-273)\/(-13))\/(-21))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 3*i**2 + 3*i - 6. Determine o(-5).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -258*l**2. Let v(m) = -135*m**2. Calculate v(u(z)).\nAnswer: -8986140*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 times 11?\nAnswer: 10626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**2 + 70*y + 13. Let r(i) = 3*i**3 + 4*i**2 + 2*i + 3. Let x be r(-2). Let u be m(x). Which is greater: u or 23?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20899 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44174 and 11474.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -211546 (base 7) in base 3?\nAnswer: -1212020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2292*f + 3806 wrt f?\nAnswer: -2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eedssenonsye. Give prob of picking 1 e and 1 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 3*q - 6. Let h be b(-5). Let w(z) = -z**2 + 5*z + 3. List the prime factors of w(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1996970490 and 0.677.\nAnswer: -1996970489.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412592822?\nAnswer: 2, 3, 78477379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1289820 and 34860.\nAnswer: 1289820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 23. Let c(z) be the third derivative of -z**7\/1260 - z**4\/12 - 3*z**2 + 1. Let u(k) be the second derivative of c(k). Give l(u(m)).\nAnswer: -4*m**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6*88\/135 - 3 and 40\/7.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(13) + sqrt(13) + -1)*-2 - -4*(sqrt(13) + -1)) + 5 + 2 + sqrt(13) + -2)*-1)**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yldav. What is prob of sequence yv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*g + 15. Let n be (2 - (g - 1)) + 0. Let u = 0 - n. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/23 - 33\/115. Is a bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4095989266.\nAnswer: 2, 31, 73, 701, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -265*c**6\/3 - 362*c**3\/3 + 237. What is the third derivative of r(k) wrt k?\nAnswer: -31800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3483828\/126503 + -10\/9731. Which is smaller: 27 or j?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1360355 (base 8) to base 12.\nAnswer: -166b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*k = 74*k - 20. Let t = 7.81 - -0.19. Which is the second smallest value? (a) k (b) t (c) 1\/10 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 184 = q - 3*t, 5*t = -5*q + 870. Suppose -4*b + 4*z = -148, 3*z + 0*z = -5*b + q. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103 - 33 + h + 40)*(0 + 2 - 4)*(2*h + 7*h + 2*h) to k*h**2 + r*h + m and give r.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/1)\/(-1 + 0). Let v = -4 - n. Let a(k) = 2*k + 1. What is the units digit of a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3, 3561, 1, 5, 2 in increasing order.\nAnswer: -5, -3, 0, 1, 2, 5, 3561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/32 - (-15705)\/24. Let i = 650 - a. What is the third biggest value in i, 5, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*x**4 - 34*x**3 + 34*x**3)*(4 - 5 + 5).\nAnswer: -208*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/(5677\/4055)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = -3, 5*u - 48 = f. Let q = -59 + 59. Solve 3*z = 4*d + u, 4*d + 2*z = -q*d - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*a**4 + 2*a + 6983*a**2 - 6983*a**2 + a**4 - a**3 + a**3 + (a + a - 4*a)*(-2*a**3 + 2*a - 2*a) + 0*a**2 + 0*a**2 - a**4 + 0*a**2 + 0*a**2 + 4*a**4.\nAnswer: -19*a**4 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:37 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2, 136\/13, 6, 1\/6, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 1.2. Let b be 27\/24*-22 + 3\/(-12). Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Let z = -1 - i. Let f(n) = n**3 - 3*n**2 - n - 4. Let p(o) = -o**3 + 2*o**2 + 3. Calculate z*p(v) - 2*f(v).\nAnswer: v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 + 19*f**2 + 17*f**2 + 13*f**2 - 61*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*x**2 - 227*x**2 + 104*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10774158, 10774157, 10774156, 10774155?\nAnswer: 10774154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.06, 3\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/9*v**4 - 4\/9*v**3 + 8\/9*v**2 + 0*v.\nAnswer: -4*v**2*(v - 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2395*b + 8*h - 148 = -2393*b, -3*b + 24 = -2*h + 66 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1692*m - 220584 = 429*m for m.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7782 and 30.\nAnswer: 38910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + 2*k**2 + 6*k + 4. Let s(u) = -u - 1. Suppose -27*d + 114 - 1329 = 0. Let x be (-37)\/(-9) - ((-365)\/d - 8). Calculate x*s(o) + t(o).\nAnswer: -2*o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-3)\/(sqrt(18)\/(sqrt(2) - (sqrt(32) + sqrt(2))) - sqrt(9)).\nAnswer: 36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8 = 0, 5*p + 334 - 345 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/5 - 3236*t**3\/5 + 877561*t**2\/5 + 1768074*t\/5 = 0. What is t?\nAnswer: -2, 0, 301, 2937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0586 + 3.8764. Let r = n + 0.065. Which is the third biggest value? (a) 0.5 (b) -1\/2 (c) -0.2 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 6*k - 4. Let u be c(4). Is (9\/u)\/(1\/(-68)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 9*n - 1. Let p be x(-10). Let u(h) = -h + 13. Let f be u(p). Suppose -q - 5*y + 10 = 0, -242*y + 10 = 3*q - 237*y. Solve f = -q*i - i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + m + 6 = -y, -114*y + 856 = 6*m - 5*m - 28*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1750 divided by 70.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:16 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 82711400 = 82711401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*h - 8, 2*z - 2*h + h = 7. Let p(q) be the third derivative of 1\/60*q**6 + 0*q + 0*q**3 + 1\/48*q**4 + 1\/30*q**5 + 0 - z*q**2. Factor p(f).\nAnswer: f*(2*f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 60. Suppose 0 = y + 5*a - 32, 3*y = 3*a - 5 + 101. Let d = -2 + y. Let r be b(d). Solve r*i + 4*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (509 - (0 + -2)) + 1. Suppose 4*y + r = 5*t, 0*t + y = t - 103. Suppose 5*v - v = t. Solve 5*q = -0*q - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000240991 to seven decimal places.\nAnswer: -0.0000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 162 = -4*w. Let d = w - 565\/7. Let z = 46 + -44. Which is bigger: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6736 or 1603057\/238?\nAnswer: 1603057\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from wwppp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**5\/30 - 3*z**2\/2 - 4. Let j(x) be the second derivative of k(x). Let p(u) = -2*u**2. Give j(p(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36058.12s to microseconds.\nAnswer: 36058120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5582 + 9389. What are the prime factors of b?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 35*c**2 + 17*c + 57. Is 88 a factor of u(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 17. Let i be d(-14). Let b be 3\/(i\/1) + -2. What is the nearest to b in 2, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:41 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -1082\/15?\nAnswer: -1082\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3077 - 3074. Let b(g) = g**3 + 6*g**2 + 2*g - 1. Let l be b(-5). Solve l = -f*j + 4*n, -3*j + 5*n - 20 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 76 - 212 = 0. Let z = -14 - v. Suppose -o - 1 = 0, 4*o = z*y - 4*y + 1005. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/5))**25\/((z\/z**(-1))\/(z*z**(1\/4))))\/((z**(2\/3))**(1\/40)\/((z\/(z\/z**(-1)))\/(z*z\/z**(1\/8)))) assuming z is positive.\nAnswer: z**(3763\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = 2*o. Suppose i - 8 + o = -3*b, -5*i = -2*b - 88. Calculate the lowest common multiple of i and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 - 3*i**2 + 9*i - 3. Let f(n) = -7*n**3 - 5*n**2 + 17*n - 5. What is 3*f(w) - 5*r(w)?\nAnswer: -w**3 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a = 14. Let l be a\/6*(-4)\/28. Let k = -0.2 - -1.2. Which is bigger: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/15, 64, 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/120 + 5*q**4\/48 + q**3\/3 - 17*q**2. Find h such that c(h) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + 59. What is z(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 547?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/((-108)\/(-15)))\/((-510)\/306). Which is the third smallest value? (a) m (b) 0.1 (c) 1 (d) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -10. Let h = j - -18.999753. Round h to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -637, -2556, -5753, -10228, -15981, -23012, -31321?\nAnswer: -40908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 7*i**2 - 5*i - 2. Let y be k(-4). Find the second derivative of -18*b**2 + 38*b**2 + 8*b - y*b wrt b.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.3 (b) -0.4 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76492 is divided by 670?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 16 = -5*b + 6*b, -3 = -o. Calculate the highest common divisor of 52 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2\/11 (c) 2\/9 (d) -1 (e) 2 (f) 3\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10190*c**4 + 3 - 2*c**3 + 35*c**3 - 10189*c**4 + 18*c - 19*c to the form n*c**4 + s + y*c**2 + p*c + j*c**3 and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 + 10*u**2 - 2*u**2 + 10*u**3 + 72*u**3 + 0*u**2.\nAnswer: 82*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 917 + -920. Which is the nearest to 1? (a) o (b) 10 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*i**2 - 2 - 6*i**2 - 16*i**2 in the form n + t*i + m*i**2 and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -16318372.\nAnswer: 6\/4079593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 497199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 84314\nAnswer: 48\/42157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -3)\/((-6)\/(-3)). Let x be s\/(8\/4*-1). Suppose -t = -k - k - 16, x = 3*k + 9. Solve 5*u - t = -0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/424252 and -20\/38539?\nAnswer: 961779284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + (3 - -8) - 18) + 63.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67402 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbc when three letters picked without replacement from {b: 4, n: 3, y: 2, z: 3, o: 4, c: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2592) - (2*sqrt(2592) - sqrt(2592))) - 4*(sqrt(2592) + sqrt(2592)*1))\/(sqrt(144)\/(sqrt(384)*-1)).\nAnswer: 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12163\/8 or -1520?\nAnswer: -1520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110450\/7389 or 15?\nAnswer: 110450\/7389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1053, -1982, -2787, -3468, -4025, -4458, -4767?\nAnswer: -4952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.057243 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2036 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 9396?\nAnswer: 18792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-90))\/(((-12)\/20)\/3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -2\/5 (c) -1 (d) -3 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 8975*i + 18018*i - 10*i**2 - 9043*i.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3726.787 - -3729. Let h = 0.213 - c. What is the nearest to h in -3, 0.5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrxccecqree. Give prob of sequence ee.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3803*o - 27867 - 11798 = 9628 + 11555 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.87 + -0.27. Let v = 4.5938 - p. Round v to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/7, -6.7, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ffed2 (base 16) to base 6.\nAnswer: -421152122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:52 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 2 (b) -2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3440999 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 25456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2982 - 2630.4. Round m to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1)*i)**(-27)\/((i\/(i*(i\/(i*i**(-15)*i))\/i)*i)\/i*i**(3\/2)) assuming i is positive.\nAnswer: i**(-139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -13. Suppose 28 = 2*q + 3*y, -q - 4*y = -w - 4. Suppose -2*o = -15 - 65. Calculate the remainder when o is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/39 and -53\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38d0e0 (base 16) in base 2?\nAnswer: 1110001101000011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/2450 and -99\/980?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.274995665 rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.962 + -0.019062.\nAnswer: -23.981062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -13. Let m = p - 2. Let y = 16.0009 + m. Round y to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-1\/5))\/(l\/(l\/(l*l**(2\/17)))))**28)**(-50) assuming l is positive.\nAnswer: l**(-16240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from rzrnrrrhy.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 3 + 4 + 1 + (-1 - 5 + 23)*(-y + 3*y - y) + (-3*y + 5*y + 0*y)*(-1 + 0 - 2).\nAnswer: 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {q: 2, m: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 7*f**2 + 7*f - 5. Let l(i) = 7*i + 123. Let a be l(-17). Let c(g) = 7*g**2 - 3*g**2 - 4*g + 2 - g**3 + 1. What is a*y(x) + 7*c(x)?\nAnswer: x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - k = k - 308, 3*k + 778 = 5*o. What is the greatest common divisor of 10 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-two fifths of a millimeter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*i**2 - 66*i**2 - 101*i**2)*(2 + 5 - 3)*((-4 + 0 + 2)*(-5*i + 6*i + 3*i) - i - i + 3*i) as u*i**3 + w*i**2 + d*i + c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13120746?\nAnswer: 2, 3, 2186791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s + 4. Give o(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 1\/120*h**6 + 0 + 0*h**4 - 3\/80*h**5 + 4*h + 0*h**2 + 1\/6*h**3. Let c(w) = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*(sqrt(833)*-2 + sqrt(833)) + sqrt(833)))**2.\nAnswer: 187425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/60 + 11*z**4\/24 - 2*z**3 - 2*z**2. Let v(y) = -y**3 + 5*y**2 + 2*y - 1. Let p be v(5). List the prime factors of b(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 3*q + 2*q - 10, -8 = -4*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.536661 months to centuries.\nAnswer: 0.0079472175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -112409*l + 337436. Calculate w(3).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5320 at least -5317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232584 divided by -44.\nAnswer: 5286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/280 + 87*n**5\/140 - 11*n**4\/7 - 67*n**2 + 2. Factor v(u).\nAnswer: 3*u*(u - 1)*(u + 88)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 - 162 - (-9 - 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + -5 + -3 + sqrt(1573) + 3*sqrt(1573) + 0).\nAnswer: -132*sqrt(13) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3567.089 years in decades?\nAnswer: 356.7089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen sevenths of a week in days?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/25 (b) 4 (c) -0.053 (d) 10.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (10 - 4 - 8) + (-6)\/(-12). Put -3\/7, c, -0.04, 2\/45, 4 in descending order.\nAnswer: 4, 2\/45, -0.04, -3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Does 12 divide ((-16)\/w)\/((-8)\/120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 640976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.036 - -0.436. What is the closest to 1 in v, -0.4, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*sqrt(10)\/sqrt(5))**2*-4 - (1 + (-1*sqrt(450) + sqrt(450))**2))*-3.\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60\/11 in -52, -2, -23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.33956 centuries to years.\nAnswer: 1233.956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**5\/90 + x**4\/18 - x**3\/9 + 5*x**2 - 7*x. Let t(i) be the first derivative of r(i). Solve t(l) = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56851 and 1.\nAnswer: 56851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 16*q + 6*q + (0 + 3 - 2)*((0*q + 2*q - 3*q)*(0 - 2 + 3) + 3*q + q - 2*q).\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yedykkdfyyyy. What is prob of sequence fed?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p - 28. Let t be h(6). Let i(u) = -u**2 + 47 - 19 + t*u - 28. Calculate i(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1, -2, 3794 in descending order.\nAnswer: 3794, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/7 - 26*d**2\/7 + 64*d\/7 - 32\/7.\nAnswer: (d - 4)**2*(3*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, d: 9}. Give prob of picking 1 d and 2 b.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 3:28 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 take away -0.2?\nAnswer: 532.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1776*x + 7 + 42 - 50 + x**2)*(-2 + 0 + 1)*(-4*x**2 - 3*x + 3*x) in the form z*x + w*x**3 + q + j*x**4 + d*x**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 372498*t**2 + 3*t + 372654*t**2 - 3*t + 3*t - 2*t**3.\nAnswer: -2*t**3 + 156*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/210)\/((-3)\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1010100111100101100111 (base 2) to base 9\nAnswer: 5212328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 5 + 0 = -132*f. Let p = 7 + -4. Solve -5*j + p*j = f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.168 - 36622\nAnswer: -36622.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-136)\/(-16))\/17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1621 - -17855\/11. Find the common denominator of (6\/16)\/(201\/(-10318)) and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1390 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -2\/11, 756, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-53*s - 41*s + 88*s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 8*a. Is -1 - 1 - -193 - a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33 and 17081891397.\nAnswer: 17081891430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 531 + -523 + -5 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7599416*i**2. Let y(w) = -2*w. Give y(t(q)).\nAnswer: 15198832*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**5\/10 - 2*t**4\/3 - 17*t**3\/3 + t**2\/2 + 7. Let l(v) be the third derivative of a(v). Let d be l(0). Is -16 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3490 and 0.09.\nAnswer: 3490.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 15*w**3 - 4*w**2 - 3. Let u be c(3). Let p = 577 - u. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 15*b**2 - 3*b - 7. What is u(-8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.90387 - 0.09613. What is the closest to 1.9 in 3, n, 0.1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 79850?\nAnswer: 239550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 750 and 587625.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 21*k**2 - 28*k - 100. Suppose -5*h - 10 = 0, -3*m - 4*h = -0*h + 20. Let i be g(m). What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 2*f**2 - 4*f + 7. Let z be o(3). Suppose -2667 = -5*x + 3*b - 12, -x + z*b = -514. Suppose -l - x = -4*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-39)\/6)\/((-2)\/4). Let r = m + -7. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 36149659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2496978513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 405198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -dff135?\nAnswer: -dff133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -3) + -45 - 2 - (-11 - -7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -810904*a**2 + 166374 wrt a.\nAnswer: -1621808*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 11) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -18. Suppose -x*b - 104 = -4*s - 0*s, 5*s = 4*b + 128. Factor -3*m + 0 - 21\/2*m**4 - 33\/2*m**2 - s*m**3.\nAnswer: -3*m*(m + 1)**2*(7*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 390, 1239, 3530, 7983, 15318, 26255, 41514?\n\"Answer: 120*d**3 + d**2 + 6*d + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 2021323000?\nAnswer: -2021322313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 101.9\nAnswer: -30.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 6, -1, 2179, -2.\nAnswer: -2, -1, 1, 3, 6, 2179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w + 5. Let v be (-14)\/(-4)*40\/7. Suppose c - v = -4*a + 2*c, -3*a - 3*c = -15. Let b(u) = -3*u + 3. What is a*b(y) - 3*q(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 5*y - 5. Let r(z) = z - 2. Let a be r(8). List the prime factors of o(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5342.3 and -2626.\nAnswer: 2716.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254109 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 89. Let s be 0\/(f\/(15\/(-10))). Let c be ((-3)\/(-4))\/(1\/4). Solve 2*j = v + 2*v - 7, s = -v + c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 0*l + 3*l + 4*l - l - 5*l - 3*l + 2*l + 3*l + (5 - 1 - 2)*(1 + 2*l - 1) + (l - 2*l - l)*(2 - 1 - 3).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-28) + (-2)\/(-4). Let o = 4.03 - 2.14. Let b = o + 0.11. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/31 in 3\/7, 0.05, -0.4, -296.8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 6. Let x be u(5). Solve 3*w = -4*y + 25, -6*y + 8 = -x*w - y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 12:49 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-9)\/6 + -4. Let d = 0 - -2. What is the closest to 0.1 in -0.5, w, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 = -3*j. Suppose 0*u + 62 = 2*y + 4*u, j*u + 194 = 5*y. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Suppose -c = -2, -22 - 56 = -4*r - n*c. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(10 + -2)*20*9\/6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p + 102. Let g be o(-6). Which is the nearest to -1\/3? (a) -0.1 (b) 40 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 27 = -30. Let i = p + 48. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 15*l**2 + 235*l - 1554. What is x(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 74864?\nAnswer: 74864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-9)\/24)\/(36\/(-312))*-1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-11) - (-210)\/(-66). Let z(x) = -75*x + 11. Let s be z(t). What is the highest common divisor of s and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 2483*v**2 - 17484*v - 356. Determine m(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1446 - -1446.14. Put 2\/15, -0.4, k, -2 in increasing order.\nAnswer: -2, -0.4, 2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 56 + 35*z**3 - 27 + 10*z**3.\nAnswer: 45*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47500 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955934 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/20 and 115\/1278.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42*8\/(-24) + 16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 18*o**2 - 12*o + 3. Let g be i(19). What is the third derivative of 2*z + 602*z**3 + 2*z**4 + g*z**2 - 600*z**3 - 2*z wrt z?\nAnswer: 48*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {f: 3, n: 2, v: 2, i: 6}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 a when four letters picked without replacement from hqbaahhdhhbbqdqa.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36*31\/(-2790))\/((-2)\/(-130))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + 5 + (3 - 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425151.\nAnswer: 3, 97, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 45306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 + 8*k**2 + 3*k + 2. Let q be d(2). Which is greater: q or 9\/268?\nAnswer: 9\/268","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7649 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(9\/(-36)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(4114) + sqrt(34))\/(sqrt(2) + sqrt(288)*-2) + -2)**2.\nAnswer: -168*sqrt(17)\/23 + 15961\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:47 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 9, p: 1, j: 2}. What is prob of sequence pa?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:48 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -24*h**5\/5 + 23*h**2\/2 - 60. What is the second derivative of u(n) wrt n?\nAnswer: -288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-10)\/v*v*v**(-22\/9)*v**(-22)\/((v**(1\/14)*v)\/v) assuming v is positive.\nAnswer: v**(-4223\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**5\/5 - 623*w**4\/5 + 12069*w**3\/10 - 4681*w**2\/2 - 4625*w\/2 - 825\/2 = 0 for w.\nAnswer: -165, -1\/2, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004715669 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 2*v - 3. Suppose 43*g + 14*g + 76 = 25*g - 6*g. Let l(n) = n**2 + n - 1. Let q = -2 - -3. Determine g*l(o) + q*x(o).\nAnswer: 2*o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -1.29117533.\nAnswer: -5.29117533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**7\/490 + 243*w**6\/280 + 43*w**2 - 1. Suppose u(h) = 0. Calculate h.\nAnswer: 0, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48048 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by 89?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*u - 6 - 0, 8 = c + 4*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8337*c**2 - 218*c + 262. Is z(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 - -213.2. Let h = q + 21. What is the third biggest value in 4, -2\/13, h?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-492)\/(-9)*24\/32.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.72234 and 0.07?\nAnswer: 0.65234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0, 0.02733, 5?\nAnswer: 0.02733","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 201?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -161936343767 less than 48?\nAnswer: 161936343815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13795 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - j**4 + j**3 - 4*j**3 + j**3 + 2 - j**2 as m + g*j**2 + h*j**3 + p*j + l*j**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 175 + -5?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 0, 4*t - 1 = -5*k + 24. Solve -2*n + 10 = 2*m, -4*n - k = -5*m + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 181746913, 181746912, 181746911, 181746910, 181746909?\n\"Answer: -r + 181746914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4253442 + -0.686814?\nAnswer: -0.2614698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 2:59 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 38 - 5 - 6 - 12 - 8*f - 14. Let v(k) = -8*k. Calculate 2*m(b) - 3*v(b).\nAnswer: 8*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*k - 2, -2*k - 1 = p - 3*k. Let j be ((-10)\/4)\/((-2)\/4). Suppose p*c - j*c = -110. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110296651 by 4.\nAnswer: 110296651\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 3 - 2\/3*l**2 + 1\/9*l**3 + 4\/3*l. Factor f(t).\nAnswer: (t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 10:24 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83263 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14804632, -29609266, -44413900?\n\"Answer: -14804634*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4284)\/1764 - -1*3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.035 * -4275\nAnswer: 149.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-3)\/48*-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -351 - -353. Suppose 3*d - m + 27 = 0, -2*d + 6*m = i*m + 28. Let t = 166 - 1165\/7. Which is the biggest value? (a) t (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -5*k + 2*s - 296, 2*k - 3*s + 166 = 0. Let z = k - -100. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9483677 + -1.875\nAnswer: -9483678.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7077 (base 8) to base 14\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3 - o**3 + 9*o + 2*o + o**3 - 9*o - 121 + 41*o**4 wrt o.\nAnswer: 492*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4*234)\/(-18) - -12. Solve -869*i = -877*i + o for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**2 + 74*p + 41*p - 25*p + 40.\nAnswer: -5*(p - 4)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 13*c**2 - 9*c - 28. Let n be t(12). What is the remainder when 948\/14 + 3*n\/84 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 666, 1499, 2666, 4167, 6002, 8171?\nAnswer: 10674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/7 + 5762*t**2\/7 + 1339260*t\/7 = 0.\nAnswer: -2626, -255, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8 - 9 + 0 + z. What is t(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 377022 = -4*m, 21*z = 18*z + 2*m + 125664. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**8\/8 - 7*i**5\/15 - 5*i**2. What is the third derivative of g(o) wrt o?\nAnswer: -2520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 568 and 360046.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 12*a + 10*a. Suppose a*m = -2*s + 1598, 111 = 3*s - 3*m - 2313. Is s a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/30 and -49\/585695.\nAnswer: 3514170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 0 - 14 + 6 + 7.\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/6*(-80)\/(-50). Differentiate -25 - 20 + d - 6 - 7*f wrt f.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36693 is divided by 1048.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 469 - 481. Let q be (z\/(-7))\/(12\/546). Let u be 210\/8 - 2\/8. Calculate the highest common divisor of q and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*112\/(-24)*(-2)\/(-4). Solve -5*c + 5 = 5*d, 0*c - 4*d = 5*c - o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4487347 rounded to three dps?\nAnswer: -5.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10286853 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 + 0*h**4 + 0*h + 185*h**2 - h - 180*h**2 as t + p*h + f*h**3 + i*h**2 + m*h**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/((-4)\/(36\/(-1))). Suppose 7*r + v*r = 26. Let s be ((-1)\/r)\/((-5)\/100*2). Solve -6*w + w = s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19666264?\nAnswer: 2, 2458283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12850368 to the nearest integer?\nAnswer: 3585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3126, -24938, -84070, -199158, -388838, -671746, -1066518?\nAnswer: -1591790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1609 + -1609.001041. What is x rounded to five dps?\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5303 - 5302. Sort a, -11, 4, 44, -4 in descending order.\nAnswer: 44, 4, a, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*n, 146 = 3*t - 2*t + 5*n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3192553026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 69818115?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0 (b) -1 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**8\/1344 - z**7\/56 + 5*z**6\/32 - 25*z**5\/48 - 3*z**2 - 5*z. Factor n(a).\nAnswer: a**2*(a - 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 7*g**2 + 5*g. Let a be d(6). Let k be 12*((-10)\/(-4) - 2). Let j = k + a. Solve 3*f = 2*n - j*n + 2, -n - 3*f + 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u - 4*u - 9*u**3 - 11*u.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 9387*r - 281 + 9388*r - 18789*r as w*r + f and give f.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 112056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5459, 10186, 14167, 17402, 19891, 21634?\n\"Answer: -373*g**2 + 5846*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 167*z**5\/20 + z**4\/6 - z**3\/6 - z. Let c be x(1). Let m = c - 103. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 2*p - 3. Let d be n(8). Let h(r) = 2*r**2 + 16*r + 5. Suppose 3*l + 22 = -2. Let z be h(l). Calculate the greatest common divisor of d and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*j - 50*j - 53*j + 47047 - 53798 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -7*s**3\/6 + 4*s**2 - 14*s. Let g be l(2). Is (-56)\/g - 10\/(-15) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - -1)\/(2\/(-4)). Let l be 13\/g - (-3)\/12. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(2\/(-1)) - 28. Let j = -18 - q. Suppose 2*v - 4*v = -j. Solve 2*x + v = -2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1397, 3425, 6805, 11537, 17621, 25057?\nAnswer: 33845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -cc (base 13) to base 12\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 51*u**2 - 108*u + 107. Let p be b(53). Put -12, p, 3, 2 in descending order.\nAnswer: 3, 2, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2 - 420*c = 0. What is c?\nAnswer: 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 230346 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/40 and 53\/1690.\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (9\/(-3) - 0). Let v = -13 + 16. Let y(z) = -z**v + 6 - z**2 + 6*z**2 - 3*z - z**2 - 2. Give y(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10650350 (base 7) to base 11.\nAnswer: 58a72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1168 and -3*(-9)\/(-18)*-6 + 2\/(-4)?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 48 (c) -2\/11 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105633 (base 8) in base 9?\nAnswer: 54020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1284*g + 541859. What is o(-422)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*h - 2*f, -h + 0*f = 4*f - 9. Which is the nearest to h? (a) 0.2 (b) -4 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 172 - -7460432?\nAnswer: 7460624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 143431 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -101523*q**2. Let d(b) = -b + 132. What is d(v(l))?\nAnswer: 101523*l**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 18. Suppose 72 = -6*v - 0. Let z be g(v). Let y(u) be the third derivative of -u**5\/60 - 5*u**4\/24 + 7*u**3\/6 - 8*u**2. What is y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 + 84 = -3*o. What is the smallest value in -6, 0.1, o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a - 14. Let y be b(11). What is the greatest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36193641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a = 0. Let z = a + 0. Solve -c = -z*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167042342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a + 5 = 0. Let i be 2\/6 + 14\/(-6). Let t be (i - 0)\/((-4)\/(-1)). Is t greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2623, 1, -1 in increasing order.\nAnswer: -1, 1, 2623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -5. Suppose -103 = 155*y - 119*y + 725. Sort c, y, 3, -3 in ascending order.\nAnswer: y, -3, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3 = 8*p. What are the prime factors of 32 - (-1 - p - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*u**3 - 134*u**3 + 80*u**4 - 144*u**3 - 136*u**3 + 5 + 557*u**3 as d + c*u**2 + m*u**3 + w*u**4 + p*u and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hshkh. What is prob of sequence hk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4974 divided by -30\nAnswer: -829\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + (-23)\/(-3))*-426. What is the units digit of (l\/(-12))\/((-3)\/(27\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 344 and 212436?\nAnswer: 18269496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398531574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/4131 and 76\/27.\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 2 - 2)*(93*r + 6*r + 130*r)*((-4 - 1 + 4)*(2 + 0 - 1) + 0 - 2 + 4)*(3 + 0 + 1).\nAnswer: -916*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:57 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1145630 and 199410.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h - 3. Let l(w) = -2*w + 1. Let y(r) = -4*k(r) - 18*l(r). Let m(d) be the third derivative of -d**4\/24 + d**2 + 1321. Calculate m(y(p)).\nAnswer: -4*p + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/3 + 1821*a**4 - 3220840*a**3 + 6012097136*a**2\/3 - 402852853760*a - 404860108800 = 0. What is a?\nAnswer: -1, 492, 2240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4127*i + 358999. Give c(-87).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370632709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -13. Let t = -8240\/13 - -634. What is the smallest value in z, 6\/17, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -13, 0.2, 541 in decreasing order.\nAnswer: 541, 59, 0.2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -19, -24, -27?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 7. Let c be f(-6). Let x be (4\/6)\/(30\/45). Is x at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + -3*sqrt(39)*2)\/sqrt(3) - sqrt(156)\/(sqrt(120)\/sqrt(490)))*-5.\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 5*l**2 + l + 8. Determine d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 594*m - 2415. Let i be w(4). Solve -3 = -5*v + 2*r, 0 = -3*v - 4*r - 28 + i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -84, -209, -372, -567, -788, -1029, -1284?\nAnswer: -1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2589, 5182, 7775?\nAnswer: 10368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3502\/45 + 22\/45. Is -0.3 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 292 and 28616.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/8 and -59\/496.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 + 5 = 4*z, 3*z - 3 = 0. Let p be 74\/14 - (-2)\/(-7). Let m(a) = 3*a + a - p*a. Let w(j) = -2*j - 2. What is l*m(h) - w(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53777, -107488, -161193, -214886, -268561, -322212, -375833, -429418?\n\"Answer: n**3 - 3*n**2 - 53709*n - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10174, -8, 1, 560 in ascending order.\nAnswer: -8, 1, 560, 10174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 199*m**6\/120 - m**5\/12 + 469*m**3\/3 - 2*m**2 + 159*m. Differentiate t(x) with respect to x.\nAnswer: 597*x**2 - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 960 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u = -17*u - 232. What is the remainder when (-1)\/((-1)\/2) - -13 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpa when three letters picked without replacement from pazzaaaaazppza.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 0.5 (c) -2\/13 (d) 2\/3 (e) -2\/5 (f) 54119\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -4 - (-107 + -5). Suppose 4*w = 2*w - 2*v + c, -4*w + 5*v + 175 = 0. Does 9 divide 49 - (-5)\/2*(-60)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giggii. What is prob of picking 3 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 17838*l - 7830256 = 0. What is l?\nAnswer: -8456, -463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178.17 - 2.17. Let o = -11.133 - 164.974. Let k = y + o. What is k rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332002 (base 4) in base 7?\nAnswer: 14401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/(-12) + 1\/6. Let h(x) = 8*x - 204. Let d be h(25). Sort 6, r, -2, d.\nAnswer: d, r, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197.1 - 197. Which is the third smallest value? (a) -2\/9 (b) 2 (c) l (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2256*g + 13517. Determine q(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49355*m + 49433*m - 312 = 0. Let y(f) = -9*f - 7. Let n(q) = 4*q + 3. Let c(t) = -7*n(t) - 3*y(t). Let i be c(-2). Solve -2*x + m = i*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 28. Suppose -47*l - 462 - 807 = 0. What is a(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 70*h = 545480. List the prime factors of h.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**2 + 83396 - 83389 + 7*w**2.\nAnswer: 17*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 2, -5\/4, 56 in decreasing order.\nAnswer: 56, 4, 2, -5\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*h**2 - 51*h - 2.\nAnswer: 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3243, 12972, 29193, 51912, 81135, 116868?\nAnswer: 159117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -2*t - 67. Let l = t + -84. Let h(n) = -92*n - 1 + 0*n**2 + 101*n + n**2. Give h(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -14)\/(642\/2996)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/4 + 1200*m**2 + 4791*m + 4788.\nAnswer: 3*(m + 2)**2*(m + 1596)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 + -17 + -17)\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 + -12011231110?\nAnswer: -12011230211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5965232 and 595?\nAnswer: 29826160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 14.39. What is v rounded to 2 dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165432\/48)\/113*9\/((-27)\/3).\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -493143+-1.5\nAnswer: -493144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/7))**(-28))**(1\/20)\/((y\/(y**1\/y))**(1\/45))**(-10) assuming y is positive.\nAnswer: y**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 12*w**2 - 58*w + 28. Calculate a(-16).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**3 - 24*b + 42*b - 17*b + 14672*b**4 - 13888*b**4 to m*b**3 + c + z*b + j*b**4 + i*b**2 and give j.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 2*s + 8. Let l = 92 + -88. Let o be c(l). Let n(b) = -b**2 - b - 15. Give n(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293793, -293791, -293789, -293787, -293785?\nAnswer: -293783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from llpglpgrlgp.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 10*n + x - 10, -2*x = 0. Suppose n*b + 4*d - 2043 = d, 2*b - d - 2063 = 0. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -19.1. Let f = -3 + n. Let p = 0 - 4. Which is the biggest value? (a) f (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*s**2 - 37*s**2 + 71*s**2 - 30*s wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6151281 to the nearest integer?\nAnswer: 2480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 235665*d - 471342.\nAnswer: 3*(d - 78557)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -2 + (2 - (4 - -7) - (54 - 66)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 + 394. Let w = 232.7 - j. What is w rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*k - 1 = -10, -5*k = 0. Suppose -y*x = -x - 66. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 2*j - 6. Give t(-9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6659*u**3 - 2*u**2 - 7*u - 2. Let f be p(-3). Suppose -3*h = -71306 - f. What is h rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 + 4*y + 335 + 15 to p + s*y and give p.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3236002 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 18*t - 35 = 5*y, -5*y = 5*t + 35. Which is the second biggest value? (a) y (b) 14 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -293590 * -1241.\nAnswer: 364345190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (110\/(-20) - -3)\/(10\/(-8)). Let h(m) be the third derivative of 5*m**4\/24 - m**3 - 2*m**2. Let n be h(z). Put n, 18, -1 in decreasing order.\nAnswer: 18, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 479 + 455 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 28*m**2 - 66*m - 1053. Calculate t(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151714\/27173 - -132\/937. Is k at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**2 + 58 + 0*v - 1\/15*v**5 + 17\/6*v**4 - 20*v**3. Find n such that q(n) = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -511616 divided by -4?\nAnswer: 127904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188 - 176. What is the remainder when (14\/(-8))\/(2\/(-80)) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5801501.\nAnswer: 5801501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.04 (b) 1 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q**2 - 6*q. Let l(b) = 3*b**2 + 2*b. Determine -8*l(x) - 3*o(x).\nAnswer: 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let q = 13 - 15. Calculate o(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -634777 and 246338160.\nAnswer: 245703383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 8*s - 7. Let c be i(9). Suppose -2*j = c*j. Suppose j = -3*u + 1436 - 143. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*z - 21, 0 = -4*z + 9 - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55107 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.98 - 0.02. Let p(t) = -t**3 - 6*t**2 - 5*t - 3. Let f be p(-5). Let m be (0 + (-8)\/60)*f. Sort c, -0.3, m.\nAnswer: c, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/(-8) + (-6)\/4. Let x = n + -14. Let d be x + 4 - (-6 + 4). Solve k = d*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 12. Let s(k) = k**2 - 6*k + 5. Let v be s(9). Suppose v - 12 = -5*a. Put a, b, 3 in descending order.\nAnswer: 3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 23 = -3*x, -2*i + 93*x - 97*x - 34 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2748724709 to the power of 1\/2, to the nearest integer?\nAnswer: 52428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5745 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 28 - (471 + -495).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d - 1. Let c be k(-7). Suppose 0 = -8*m + 148 - c. Sort m, 2, 0, -5 in ascending order.\nAnswer: -5, 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p + 2. Suppose 2*h = -3*l, 2*l - 4 = -2*h - 2. Suppose -2*o + 3*v + 6 = h, 3*o - 6 = 5*v. What is k(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (4 - 3 - -5 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**2 - 17*a. Let b(d) be the third derivative of 7*d**5\/30 - 13*d**4\/12 - 168*d**2 - d. Let x be (186\/(-124))\/(6\/32). Calculate x*v(g) + 5*b(g).\nAnswer: -2*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 6*p + 5*p)*(-8 + 3 - 1)*(p - 2*p**2 - p) to v*p**2 + g*p**3 + u + m*p and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzzzzzzzjz. Give prob of sequence jz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 355 and 17558371?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 364183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/12 - 4*i**2. Let o(h) be the third derivative of h**4\/8 - h**2. Calculate c(o(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -65. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + 0 + 2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r + 9. Calculate y(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1278)\/(-355)*(-10)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3*p)*(1 - 6 + 8) as h*p + g and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12666 divided by -6945.\nAnswer: -4222\/2315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/4 - 5*a**3 - 18*a. Find the second derivative of y(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446 (base 11) to base 12.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + (-19 - -19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.20448*3.\nAnswer: -0.61344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 55*i**2 - 118*i - 250. Determine o(-57).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 45*j - 99*j + 61*j. Let a(d) = -d. Calculate f(a(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1. Let n(z) = -3*z - 9. Let a(p) = n(p) + 2*r(p). Let d be a(-3). Suppose -d*l + 10 = -3*w - 82, 0 = 2*l - 2*w - 90. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**7)\/r**(-10)*r**(2\/3)*r*(r**7\/r)\/r assuming r is positive.\nAnswer: r**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**3 + 0*s + 0 - 7*s**2 - 1\/10*s**5 - 1\/120*s**6 - 1\/6*s**4. Let j(w) = -2*w + 5. Let g be j(5). Determine a(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2599106056.\nAnswer: 2, 61, 5326037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11, 23, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 331\/6 + -1673\/30. Which is the smallest value? (a) 1 (b) 4 (c) p (d) 4\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4964, -9825, -17934, -29297, -43920, -61809, -82970?\n\"Answer: -c**3 - 1618*c**2 - 3345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 104680 to the nearest one thousand.\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -521 - -909. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 10*x - 34)*(0*x - 2*x + 3*x) + (-2*x + 2*x + x**2)*(13 + 0 - 1).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.098 and 1222.\nAnswer: -119.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7939*f + 2143292 + 4631188 + 3701*f + 5*f**2.\nAnswer: 5*(f + 1164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -855, -1419, -2893, -5715, -10323, -17155?\nAnswer: -26649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -778, -2219, -4314, -7063, -10466?\n\"Answer: -327*f**2 - 460*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(-3*(sqrt(8) - (sqrt(8) + sqrt(8)*-1))) + 0 + -4.\nAnswer: -4 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -435.981974 rounded to the nearest integer?\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3 = 0, -4*y - d = -0*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -241430521 (base 6) to base 16\nAnswer: -4597b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 15.4. Let m = 55\/6 - 9. Which is the nearest to 1\/2? (a) s (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -77 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let c be -2 + (0 - a) + 0. Let l = 1\/7 - 5\/7. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -9) + (-16 - -20) + 17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**2 + 97365*t - 1461600 = 0?\nAnswer: -19488, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 167, 257, 345, 431?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 425\/204 - (0 + 1\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.301685ug to milligrams.\nAnswer: 0.002301685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e4e4 (base 15) in base 6?\nAnswer: -2042141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 6*m + 5. Let n be g(5). Let i = n - 7. Let d = i + 6. Are d and 1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 + 19 = 0. What is the remainder when 35 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182154 and 84.\nAnswer: 364308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 5*d)*(-d + d + 2*d)*(d - 3*d + d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221021120000 (base 3) in base 8?\nAnswer: 7765602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 + (-180)\/(-70) + -2. Suppose -2*q - 3*d + 31 = -6*q, -q + 2*d = 4. Which is the nearest to -1? (a) h (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhddhvvvhv. What is prob of picking 2 h?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - 0 - (8 + 9 + -17 - (38 - 23)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 + 192.1. What is the nearest to h in 0.5, 5, -27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*x - 24. Suppose -x*a + 780 = 10*a. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/4 + 167091*a\/4 - 41772 = 0 for a.\nAnswer: 1, 55696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**3 - 15*x**3 + 71*x**3 + 10*x**3 + 18*x**3.\nAnswer: 116*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014568031 rounded to seven decimal places?\nAnswer: -0.0014568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((-30)\/45)\/(2\/27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6 + o + o - 7*o. Let k be s(-2). Solve 17 = -5*h + 2, k*h = 2*w - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (235 + (-56)\/(-8))*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*2*sqrt(1225)*3)\/(sqrt(60)\/sqrt(588) + sqrt(5)*-1*5).\nAnswer: -1764*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 28. Let r = 13 - -60. Let q = r + -72.9. Which is the nearest to x? (a) 7\/2 (b) -0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1198.94 kilometers to centimeters.\nAnswer: 119894000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453235, -906471, -1359707, -1812943?\nAnswer: -2266179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 91*d. Let h(x) = 44*x - 35. Let n(v) = -19*v + 15. Let b(o) = -6*h(o) - 14*n(o). Calculate t(b(z)).\nAnswer: 182*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-88) - 96\/(-33). Find the common denominator of 26*(-6)\/320*2 and -1 - ((365\/(-80))\/(-1) - b).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*(-6)\/(-240)*8. Suppose -2 + 0*y**x + 7\/3*y - 1\/3*y**3 = 0. Calculate y.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*w - 45 + 5 + 18 + 19 + 8.\nAnswer: 140*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 718?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 - -7.74. Let d = v - 8. Let i = d + 0.58. Round i to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {p: 4, l: 7, f: 1, k: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/5 - 12*k**4\/5 + 26*k**3\/5 - 24*k**2\/5 + 8*k\/5 = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**8\/336 + q**6\/120 - 18*q**2. Factor u(w).\nAnswer: -w**3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/8 + t**4\/12 + t**3\/3 + t. Let c(m) be the second derivative of d(m). Is c(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 185\/2577139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -528*p + 245*p - 268*p - 740*p + 89*p in the form f + k*p and give k.\nAnswer: -1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2314900 and 330700?\nAnswer: 2314900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8573*u - 231448. Determine k(27).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1331656 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -58. Suppose z*h - 5*b = -2*b + 602, -b - 598 = -2*h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, r: 8, y: 5, m: 5}. Give prob of sequence yymr.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 - 282*a**2 + 66270*a - 5191150.\nAnswer: 2*(a - 235)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 28*h**2 - 136*h - 2. Let d be v(5). Suppose -20 = -d*f - 2*f. What is the nearest to f in -0.5, -0.124, -4\/5?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 74664933, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10347*u**2 + 22783*u + 150. Let l(h) = -5174*h**2 + 11391*h + 60. Let m(t) = -5*l(t) + 2*p(t). What is the second derivative of m(z) wrt z?\nAnswer: 10352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 262. Let m = h - -168.9998983. Round m to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 775050 and 450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 95008*f + 145*f**3 + 3*f**2 + 95009*f - 3*f**2 to i*f + s*f**3 + o*f**2 + g and give s.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -153 - 10*n - 163 + 286 wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4380 by 2.\nAnswer: -2190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 0*r**2 - 3 + r**2 + 9 + 5*r. Let y be c(-6). Let a = y + 5. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**2 - 12*k**2 + 21*k**2 to n + m*k**2 + g*k and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*y - 3*p, 41*y + 37*y + 44*y - 58 = 126*y - 10*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q**3 + 11*q**2 - 3*q - 15. Let i(k) be the first derivative of -k**4\/2 + k**3 - k**2\/2 - 4*k - 1178. Determine 6*f(n) - 22*i(n).\nAnswer: 2*n**3 + 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 - 3*k**3 + 12*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by -2 - -13 - 5\/((-5)\/3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*2 - 1. Let z be 10*(12\/5 + a). What is the units digit of -2*5*(-2)\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - o - 10 = 2*d, 4*d = -o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*k - 4472 - 6359 + 3795 - 1739 = 0 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)\/i*i\/(i\/(i\/(i\/i**(-2\/5))))*(i*i**(2\/7)*i*i)**32 assuming i is positive.\nAnswer: i**(3386\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 9*l**2 - 4*l - 8. What is w(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32\/31 + 2644\/279. Find the common denominator of (5\/(80\/(-3)))\/((-45)\/(-2670)) and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 7) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b - 1165 = 96*b - 22 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 99?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a**3 + 0*a**3 + 9*a**3 + 3*a**3 + 2*a**2 to the form q*a**2 + m*a**3 + s + u*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - 2.99. Let j = l - -3.5. Let g = j - 0.8. Put g, -0.2, 0.4 in descending order.\nAnswer: 0.4, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/10832 and 13\/2708.\nAnswer: 10832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3242269184 and 287?\nAnswer: 3242269471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3340347499 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 58. Let m = 0 - c. Suppose -m = 2*p - 5*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/508132 and -45\/340194374?\nAnswer: 680388748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27366037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 38. Let r = 29 + q. Let i(t) = -t + 13. Let u be i(11). Solve r + u = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 + 37*u**2 - 6*u + 2. Let c(z) = -13*z**3 - 118*z**2 + 19*z - 6. Calculate -6*c(s) - 19*l(s).\nAnswer: 2*s**3 + 5*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + -12 + 14 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = h, 16 = 2*t - t - 5*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/56*8\/18. Let y = w + 5\/14. Which is the nearest to -2\/19? (a) -0.4 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754528023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*a - 19 - 18 + 61 - 23 to the form k*a + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -21*g - 205. Calculate b(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625.3 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.000925\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 4*z**2 + 4*z**2)*(1654*z**3 + 358*z**3 + 428*z**3).\nAnswer: 7320*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020101201102 + 1100?\nAnswer: -2020101200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c - 2. Let q be 4\/2*c\/4. Let r = 4 + q. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 332 - 167. Let j = f - 101. Calculate the remainder when j is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 444*i - 895*i + 453*i - 248*i**2 - 1477*i**2 in the form h + r*i**2 + q*i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 80021 divided by 10\nAnswer: 80021\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*a**2 - 12\/7*a + 0 - 2\/7*a**3.\nAnswer: -2*a*(a - 3)*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + n - 1129 = 0, -70*n - 557 = -c - 68*n. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:30 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 484391.9um?\nAnswer: 0.4843919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1445 divide 451120330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -276, -279, -278, -273, -264, -251?\n\"Answer: 2*j**2 - 9*j - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 4*x + 0 + 0*x + x + 2*x - 2*x + 0 + 0 - 5 - x + 5 + (-4*x + 3*x + 3*x)*(1 + 1 - 4) - x - 5 + 5 + 15*x + 179 - 179.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30396 divided by 535\nAnswer: -30396\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 17381*i + 86900. Determine f(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alllalaallaaallas. What is prob of picking 3 l?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 268415600 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246635093?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -24625.\nAnswer: 123125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(255\/20)*6\/(-124)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (108 - 47 - 20)*(-3 + 2 + 0)*(k - 2 + 2) + 2*k + k + 0*k + 6*k - 2*k - 2*k + (-2 + 1 - 1)*(2*k + 3 - 3) in the form c + l*k and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 322275\/(-10) - 5\/10. Let c = -21567 - m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p**(1\/5)*(p*p**(-2\/11)*p)**(-2\/39))**(11\/2) assuming p is positive.\nAnswer: p**(-13499\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90073 - 274*f + 90073)*(-1 + 5 - 11) as t*f + n and give t.\nAnswer: 1918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i = 2*z + 263, 5*i - 171*z = -167*z - 69 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*w + 7, -d = -3*w + 9. Let q(y) = -2*y + 13. Let l(j) = -j + 7. Give d*q(u) - 11*l(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -2*k**2 - 1\/24*k**4 + 0*k - 1\/60*k**5 + 1\/120*k**6 + 0 + 1\/3*k**3. Let c be z(2). Solve 20 = c*b - 9*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1997922900658 - 2.6.\nAnswer: -2.4002077099342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 10:48 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073870661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/(-3))\/(1\/(-8 - 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 55952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 + 35 - 24*h + 80 + 10*h + 15*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - 3*q**3)*(-2*q + 2*q + q)*(q - q - 3*q).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 7. Let y be z(-4). Calculate the highest common divisor of 22 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*b**4 + 8*b**3 - 1487*b**2?\nAnswer: 384*b + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 6*c - 15 - 16.\nAnswer: 6*c + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2788, -2787, -2786, -2785?\n\"Answer: n - 2789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4311 - -2760?\nAnswer: 6a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 + 5 - 4) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(63) + 0.\nAnswer: -3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 4, 12, 56 in ascending order.\nAnswer: -6, 3, 4, 12, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -33. Suppose -2*g + n = 10, 3*g - c*n - 3 = -4. Which is smaller: g or 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1*sqrt(68)*5 + (-4*2*sqrt(68) - sqrt(68) - sqrt(68)))\/(((sqrt(440)*2)\/sqrt(11))\/sqrt(10)).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24281 is divided by 607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 367 or -0.01?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, i: 4, o: 12}. What is prob of sequence oow?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfzfrzztrrzrrrzffzf. Give prob of picking 1 z and 1 f.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-1 - -2) - -3. Suppose 2 = c*v - 6. Let r = -1226 + 1231. Solve -3 = -r*d + v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -11\/70*n**5 + 0 - 4\/35*n**6 + 8\/7*n**2 + 23\/21*n**4 + 51*n + 5\/147*n**7 - 12\/7*n**3. Determine w so that p(w) = 0.\nAnswer: -2, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 62880*z + 1194694. Give x(-19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(48)\/sqrt(4)) - (sqrt(11) + (-1*sqrt(176))**2) - sqrt(704)*-2*-5.\nAnswer: -80*sqrt(11) - 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*a - 19 = 0, -5*a + 2*a + 31 = 4*m. Let l(j) = 5*j**2 - j - 11. What is the units digit of l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05681823537 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 485 or 484?\nAnswer: 484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (sqrt(832) + sqrt(832)*3 + sqrt(832))**2).\nAnswer: -83208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10494*x**2. Let f(i) = 6*i**2. Determine y(f(b)).\nAnswer: 377784*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3300) - (sqrt(3300) + sqrt(3300) + -3*sqrt(3300))) + sqrt(3300))\/sqrt(675) - ((5*(-2*sqrt(88) - sqrt(88) - sqrt(88)))\/(-4*1*sqrt(8)))**2*3.\nAnswer: -825 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/(7\/(490\/15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-2)\/(2\/3). Suppose p*i + 2*z - 26 = 0, -i - 2*z + 77 = 4*i. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001140434 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 46768*c + 46763*c = 23, 9 = -2*s - c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -44 + y - 33 + 123 - 46. Let u(s) = 6*s**2 - 61*s. Give u(k(c)).\nAnswer: 6*c**2 - 61*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 60\/(-16)) + (3324\/(-336) - -10).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 411, 430, 469, 528, 607, 706, 825?\n\"Answer: 10*s**2 - 11*s + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-78)*-6*(-10)\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h + 0 - 1\/24*h**4 - 3*h**2 + h**3. Let j be b(-10). Solve 2*y + j = 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1622595 by 1.\nAnswer: 1622595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9818400 divided by 122730.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 23285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 676016, 676016, 676024, 676046, 676088, 676156, 676256, 676394?\nAnswer: 676576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(171)\/sqrt(12) - (sqrt(57) - -5*sqrt(57)*-1))\/(-2*sqrt(3)*-2*6)*6)**2.\nAnswer: 1539\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -21*a**4\/4 + 3*a**2\/2 + 6. What is the second derivative of p(n) wrt n?\nAnswer: -126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 4. Let o(v) = -12*v. Give o(p(y)).\nAnswer: -60*y + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000) + (sqrt(3000)*-3 - sqrt(3000)))\/(sqrt(10) - -1*sqrt(40)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92275 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2277, 9009, 20213, 35877, 55989, 80537, 109509?\nAnswer: 142893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:17 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 555 - 22*b**3 - 555 + 512*b**3.\nAnswer: 490*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 660335.\nAnswer: 660336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*x + 4414 = -1612*x - 26696 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j**2 + 11. What is the lowest common multiple of 5 and t(0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 2 - 4*r**2.\nAnswer: -4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*x = 3*a + x - 10, -5*a = 6*x - x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 116?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 854618 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 129\/(60372\/14820)*18\/10?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5175 (base 9) to base 6.\nAnswer: -25322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -107 (b) -9 (c) 0.3 (d) 153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 = 4. Suppose 3*x = -p + 7, 3*x - 14 = -2*p - 3. Let a be ((1 - -4)*x)\/s. Solve 3*f + 4*m + 31 = 0, a*m = 3*f - 2*f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/((-28)\/(-12) - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j**2. Let v(f) = -1928 + 119*f + 1928 + 470*f. Determine v(y(k)).\nAnswer: -4712*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28a2d8 - -a?\nAnswer: 28a2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/3))\/o**(1\/9)*(o**1\/o)**(-1\/40))**(-1\/5) assuming o is positive.\nAnswer: o**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201273183 is divided by 694?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2877 is divided by 2837.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -0.5. Let t = -0.4495 + 1.3495. Which is the closest to 0.1? (a) -0.4 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44133431 (base 6) to base 2.\nAnswer: 101000001111110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8453 = 13*o - 92*o. Solve 22 = 2*s - 3*y, o*s + 9 = 112*s + 4*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3014*l**3 + 911*l**3 - 1025*l**3.\nAnswer: 2900*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*(sqrt(288) + sqrt(288)*1 + sqrt(288) + 3 + -3 + sqrt(2)*4 + 1))**2.\nAnswer: 8000*sqrt(2) + 320100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364*l**2*s**2 + 702579*l**2*s - 2*l*s + 228479*l + 427*s**2 wrt l.\nAnswer: 728*s**2 + 1405158*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*7*(-392)\/(-2058)*-6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 27*q**2 + 78*q - 9. Let v be d(-6). Solve -501*r + 30 = -v*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/7, 4, 0, -0.2, -44, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 7*f**2 - f + 6. Let x be o(7). Let i be (0 - 0 - 165)\/x. Suppose 5*g = -5*w + i, 5*w = 3*w + 2. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*h + 5*t = 238*h + 21, 5 = t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -118152296 divided by 4\nAnswer: -29538074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 16*u**2 + 17*u + 8. Let z be w(17). Suppose -4*n + 5*n = -z*n. Solve r + 5*d + 0*d = -10, n = 2*r - 2*d - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1408 - 1408 - z**2. Let h(q) = 35*q. Give m(h(d)).\nAnswer: -1225*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/19, 1424, -6, -743?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(95)*-1 - sqrt(95)))\/(sqrt(15)\/sqrt(3)*6) - (sqrt(19)*-1 + 1 + 5 + sqrt(19) + 1))**2.\nAnswer: 14*sqrt(19)\/3 + 460\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 34*z**3\/3 - 950. Let a(b) = 62*b. Calculate a(l(h)).\nAnswer: 2108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73676293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -14\/11 (c) -17\/7 (d) 0 (e) -8 (f) -1\/7 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/((-88)\/44).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/((-429)\/213) - 7\/1. Let a be (-14)\/8 - (-1)\/(-4). Which is greater: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 900?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 56*(-2)\/(-3)*(-1239)\/(-1652)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.4, 2321\/24931, 0?\nAnswer: 2321\/24931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 27*f**2\/4 + 85*f\/2 + 36.\nAnswer: (f + 1)*(f + 8)*(f + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/6677, 0.4, -1?\nAnswer: 4\/6677","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 10*u**2 - u - 4. Let c be a(-10). Suppose -11*q - c = -13*q. What is the nearest to 0.1 in -1, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 28 - (2 - (3 + 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -29*r**4\/24 - 2*r**3\/3 - 9799*r**2. What is f(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1068 and 1044237.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, -12, -791, -1882, -3285, -5000, -7027?\nAnswer: -9366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 11*a**2 - 13*a - 19. What is the least common multiple of m(-9) and 28?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enh. What is prob of sequence eh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**2 - 3*p + 2. Let y be g(2). Suppose -b - y = -5*b. What are the prime factors of -2*1*b\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54889*c**5 + 2*c**3 + 9*c**2 + 2*c + 613.\nAnswer: -3293340*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**4\/26 - 46*s**3\/39 + 171*s**2\/13 - 810*s\/13 - 194. Solve o(a) = 0.\nAnswer: 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23640091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 + 12 = 0. Let r(j) = -3 + 5 - o - 10 - 3*j. What is r(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1085 - -1089. Solve 1 = 5*v + r*b, -7*v + 3*v + b + 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3057*o + 1580*o**2 - 3163*o**2 + 1711*o**3 + 1583*o**2 + 1414*o wrt o?\nAnswer: 10266*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34008.38mm?\nAnswer: 34008380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/5649168 and -107\/2824584?\nAnswer: 5649168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:13 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*u = -4 + 1, 5*y + 3*u - 7 = 0. Suppose -y*o = -0*o - 64. What is the greatest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3\/4 + 31*a**2\/4 + 449*a\/4 - 91\/4 = 0 for a.\nAnswer: -7, 1\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.045 + -0.045. Suppose 0*k + 4 = k. Suppose -k*j + j - 15 = 0. Sort -2, i, j.\nAnswer: j, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 430*m + 3. Let s(r) = -428*r - 4. Give -6*n(k) - 5*s(k).\nAnswer: -440*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0672? (a) 1\/7 (b) -2 (c) 114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -262*k - 1579. What is l(-5)?\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110.631 - 110.739617. Round n to three dps.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t = -9596 - 9804. Let r = t + -481. Solve r*u = 2*h - 5*h - 6, 14 = 4*h - 2*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 2*t**2 + 2*t**2 + (2 - 2 - 3*t)*(-10*t**2 + 14*t**2 - 5*t**2 + 5).\nAnswer: 4*t**3 - 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1102 + 6*p**2 - 9*p**2 + 5*p**2.\nAnswer: 2*p**2 - 1102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -343, -594?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 216395065 to the power of 1\/2, to the nearest integer?\nAnswer: 14710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 46*t - 4044. Calculate b(42).\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 13. What is the least common multiple of 9 and (-4)\/(-6)*v*6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -312 + 305. Which is the nearest to 0.1? (a) -0.1 (b) g (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1512*i**5*y**2 - 22*i**3*y**3 - 1050*i*y**3 - 4*i*y**2 - y**2 wrt i?\nAnswer: 30240*i**3*y**2 - 132*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3980, -7956, -11932, -15908?\nAnswer: -19884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 16. Let s = -4 + k. Solve -1 + 5 = -s*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15398737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/47400 and 63\/20?\nAnswer: 47400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 20 = -2*j. Let l = 0 - 0. Let r = l - -4. Is j less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/7, 1, -81.9, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90820759?\nAnswer: 439, 443, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04728 and 0.774.\nAnswer: 0.03659472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 419603643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -27*p**2. Let h(l) = -16*l**2. Determine b(h(d)).\nAnswer: -6912*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 3*p**2 - 5*p**2)*(-1 + 1 - 1)*(36 - 12 + 4).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -14*z**3 + 6*z - 6. Let j be g(4). Let w = -448 - j. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*h - 57, 64 + 11 = 4*g - h. What is the smallest common multiple of g and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -760.863 rounded to 0 dps?\nAnswer: -761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1269*n**2 + 2 - 2 + 2533*n**2 - 1260*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 895 and 32715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 15*o + 45. What is r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3046*t - 21331. What is m(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2172*a - 2887. Is b(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 4. Let b = -0.052 - 90.948. Let f = b - -91.4. What is the second smallest value in f, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*a + 235 + 343 = 298 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327485063?\nAnswer: 23, 14238481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2794262 is divided by 226.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = -w. Suppose w*o = -1 + 7. Which is the smallest value? (a) 3\/7 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 5) to base 3.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = y - 452, -5*p + 34*y = 36*y - 752. Calculate the remainder when p is divided by 68.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432\/7 smaller than 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 90347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23278 is divided by 131.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616551220 rounded to the nearest one hundred thousand?\nAnswer: 2616600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3\/5 (b) -1\/8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -459364624 divided by 8.\nAnswer: -57420578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 215571556 to the power of 1\/2, to the nearest integer?\nAnswer: 14682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from qsh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**2 + 8\/3*v**3 - 19\/15*v**6 + 0*v**5 - 29*v + 0*v**4 + 0. What is the second derivative of k(u) wrt u?\nAnswer: -456*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from vaaaavvavvaavvavva.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136057.806 rounded to the nearest 1000?\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 3*l - 5, 6*l = c + l - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -401051*x**2 + 64*x + 4605?\nAnswer: -802102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4287 + 796 = 35*k + 279*k - 883 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -17*r**7\/840 - r**6\/180 + r**5\/120 + r**4\/24 + r**3\/3 - 1. Let k(b) be the third derivative of i(b). Is k(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**4 + 2*y**3 + 5*y**2 - 41. Let v(a) = a**3 + a**2 + 2. Let g(x) = -c(x) + 5*v(x). What is the first derivative of g(k) wrt k?\nAnswer: 8*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7927328 times 6.1\nAnswer: 48356700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313413*s**2 + 426908*s wrt s.\nAnswer: 626826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -660680649.9 to the nearest 1000000.\nAnswer: -661000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1042967?\nAnswer: 208593.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -3 (c) -0.08 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 15. Let r be w(-7). Let l(d) = d**3 - 6*d**2 - d + 5. Let o be l(r). Let a be 0\/(-3*(o - -2)). Solve -q + 2*q + 4 = a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 - 12*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 99, 80, 45, -12?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/11 (b) 1\/2 (c) 3 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2332, -4\/5, 2\/9?\nAnswer: 2332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:09 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121765718*k - 121765718*k + 6*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167693 is divided by 258?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 13 = 2*p - k, -p - 7 = -3*k. Let z be -1 - 2\/(p\/(-3)). Suppose -z*a + 10 = 3*a. Solve -a*g = 2*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817132244.\nAnswer: 2, 10037, 20353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801388887.\nAnswer: 13901, 129587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from kkbikkbikkkkbkkkbyi.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*s - 45*s - 526389*s**2 - 5.\nAnswer: -526389*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-15))\/((-2)\/(18\/(-27))).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -293.5025 + 0.1825. Let h = -287 - a. Let j = -6.9 + h. Round j to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**3 + 3*p**2 - p - 2. Let g be k(2). Let x be g\/8 - (4 + 3). Solve 2*c = -5*a + c - 12, 0 = 3*a + 2*c + x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/13 and -67\/45031285.\nAnswer: 45031285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 792799 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 5*a + 5 = -3*p, -4*p = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 7*t**3\/3 - 2*t - 108. Let g(y) be the third derivative of -y**5\/60 + y**2. Calculate g(o(l)).\nAnswer: -196*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5915 + -5898. Solve -4*u - 4 = -b + 4, 0 = 5*b + 3*u - m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554782 is divided by 554777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 3*h - 4. Let m be n(-3). Suppose -m*a = -42 + 7. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12310*a**3 - 6159*a**3 - 6160*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47029 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f. Let k(o) = o. Let r(v) = -3*v. Let x(b) = 4*k(b) - 2*r(b). What is x(w(q))?\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from oocctcccccccctt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 11 = 4*c + 4*m, 5*c = m + 1. Solve c = x - 2*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 59*r**2 + 75*r + 12. What is the hundreds digit of f(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 11:11 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*-4*3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5 + 0*i + 0 - 5*i**2 - 2*i - 4*i + i**3. Give a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let c(b) = 4*b**2 - 5*b - 5. Let o(l) = -c(l) - 2*v(l). Let z(y) = 12*y**2 - 20*y - 14. Determine 14*o(p) + 5*z(p).\nAnswer: 4*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/45*-35*32\/(70\/(-10)*1).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13071*w**4 - 173*w**3 - 2*w**2 + 8062620 with respect to w.\nAnswer: -52284*w**3 - 519*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lccallclln. What is prob of sequence cnc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 59080 = -17*w + 7*w. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -18. Let j = p - -7. Factor -3 + 4*b**3 - j*b + 6*b**2 - b**3 - 3*b**2.\nAnswer: 3*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 2. Let q(k) = 2*k - 12. Let s be q(8). Suppose 2 + 14 = -s*y. Let h be a(y). Solve d + 5*i = -2*d + 1, 2*d + 2*i = h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 0*x + 15 + 2*x - 61 + x**2 + 28 + 4*x**4 + 38*x**3 in the form s + d*x**3 + n*x**2 + f*x**4 + w*x and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 35 + -36 + -8 + (0 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {h: 4, g: 2, l: 1, s: 1, p: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (330\/(-9))\/(-11)*-3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4420859 is divided by 315770.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -2\/3*t**3 + 1\/10*t**5 + 0 + 2*t + 0*t**4 + 0*t**2. What is the second derivative of b(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1350.6 - -5\nAnswer: -1345.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + -3 - sqrt(2)) + sqrt(16)\/(sqrt(8) - sqrt(128)))**2.\nAnswer: -16*sqrt(2) + 209\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -8. What is the remainder when 57 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(-41))**(-3) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*k + 442*k - 1654 - 15064 - 374.\nAnswer: 5*k - 17092","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let d be 1\/(-1)*(1 - g). Which is smaller: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -22 - 34) + 17?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**4 + 3 + k + 2*k**4 + 2*k**4 - 3*k**4 + 2*k**3 as v*k**4 + z*k**2 + j + n*k + m*k**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllilllilli. What is prob of sequence llii?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.3. Let f = 0.9 + -0.6. Let p = 0.5 - f. What is the smallest value in b, 0.3, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3062577?\nAnswer: 3, 7, 41, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26988, 104288, 233112, 413454, 645308, 928668?\nAnswer: 1263528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**(-2\/33))\/j)*j*j*j*j**(4\/5))\/(j*j\/j**(-4))**(11\/7))**(-11\/5) assuming j is positive.\nAnswer: j**(5416\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 12661050*p - 50644168.\nAnswer: -2*(p + 4)*(p + 6330521)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*f + 24, -13039*f + 3*g + 10 = -13040*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*393.\nAnswer: 2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 - -156. Let s(b) = -q*b**2 + 5*b - 24*b**2 + 8*b**2 - 2*b. Let n(v) = -v. Give s(n(d)).\nAnswer: -50*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 6. Let n = -7 + 54. What is the remainder when n is divided by q(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/4)\/u*u**(2\/5)*(u**(-1))**(-35)*(u**0*u)\/u**(-2\/17)*(((u*u**5)\/u)\/u)\/u*u*u\/u**(-2) assuming u is positive.\nAnswer: u**(14541\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at most as big as -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 230150756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + -51 + 1 + 2114 + -2138\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 357201 and 1365?\nAnswer: 12502035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5278)\/145)\/26)\/(4\/(-20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3533*n**3 + 34112*n**2 wrt n?\nAnswer: 21198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20715*0.05\nAnswer: -1035.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 329 + 265 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*t - 279 = -156*t - 846 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0154 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1961 and 300?\nAnswer: 588300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2067, -4133, -6195, -8253?\n\"Answer: 2*h**2 - 2072*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, u: 6}. What is prob of sequence ccc?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/(-55)*10\/(-4)*2. Sort 13, p, -2 in descending order.\nAnswer: 13, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104123*r = -104096*r + 621 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2\/7 - 16*k\/7 + 4 = 0?\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/2625236 and -58\/1677?\nAnswer: 102384204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 8. What is p(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3155 = -0*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -22*f**2. Let j(x) be the second derivative of -x**3\/3 + 9*x**2 + 4161*x. What is y(j(s))?\nAnswer: -88*s**2 + 1584*s - 7128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166211.\nAnswer: 3, 47, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 21. Suppose 0 = -n + m*h - h - 31, -n - 35 = -h. Let x = n + 40. Solve u - 8 + x = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + g + 4. Let o be j(3). Let p(y) = -y - 1. Let t(d) = -8*d. Let b(k) = o*t(k) + 12*p(k). Find the first derivative of b(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 176*k + 3*k**2 - 6*k**2 - 91*k - 1 - 87*k. Let w(o) = -2*o**2 - o. Give 6*u(q) - 10*w(q).\nAnswer: 2*q**2 - 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122102122122 - 201?\nAnswer: -10122102200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*m = -488 - 334, 3*f - 1203 = 4*m. Let n = f + -401. Solve -3*w = n*q - 7, -4*w - 3*q - 5 = -19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38139 + -23579. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*16\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) + 6 + -7. Differentiate 6 + b*c - c - c - 3*c wrt c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 24402.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 173*w + 2660. Give d(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1291 or 1294?\nAnswer: 1291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1215425 from -0.2.\nAnswer: 1215424.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -5.28. Let s = r - -5. What is s rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11047737.2 + 11047736.01698606. Let r = g - -1.183. What is r rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1516, -1514, -1512, -1510, -1508?\n\"Answer: 2*z - 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*u + 103140. Round u to the nearest 100.\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + (sqrt(5) + sqrt(5)*-1)**2 + 3 + sqrt(5) + 0 + 5 - (2*sqrt(35)*1)\/(-1*sqrt(112)).\nAnswer: 5*sqrt(5)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3 - -7) + 702 + -719?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234304414 + 1?\nAnswer: 234304420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -180a?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*t + 39 = -9, -3*a - t + 48 = 0. Calculate the highest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 359 - 338. What is the greatest common divisor of z and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*s + 2 + 8, -2*s + 3*q = -2. Find the third derivative of -11*l**4 + 6*l - 6*l - l**s + 12*l**2 wrt l.\nAnswer: -288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.1, 32\/49, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + 11*o + 3. Is 21 a factor of l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 4:51 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1046 - 2268 + 1231 - 1661 - 3433 - 1622)*(-m**4 + m**5 + m**4).\nAnswer: -8799*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -375 - -354. Does 13 divide 23 + z - (1802\/(-1) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57963.44 litres in millilitres?\nAnswer: 57963440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + w + 7. Let b be q(0). Suppose -b + 27 = 5*s. What is the highest common factor of s and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 3*k + 4*k)*(-k + 2*k**2 + k + (0*k - k - k)*(5*k - 2*k - 4*k) - 6*k**2 + k**2 + 4*k**2 + 4*k**2 - 4*k**2 - 2*k**2).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = 5*z, 13*c - 15 = -5*z + 10*c. Calculate the lowest common multiple of z and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*o**2 + 135*o - 273\/2.\nAnswer: 3*(o - 1)*(o + 91)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l**3 + 4*l**2 + 6. Let n(c) = 18*c**3 - 9*c**2 - 13. Let p(f) = -4*n(f) - 9*y(f). What is the first derivative of p(s) wrt s?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/21 - (-2)\/(-7). Suppose -s = -4*f + 66, v*f - 2*f = -4*s - 26. Solve -15 = -5*x + 2*x, -2*p - f = -3*x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102123320 (base 4) to base 14.\nAnswer: 8b0a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1539*i = 1632*i - 465. Solve -i*b - 3 = -x, -21*x = -18*x - 2*b - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3138 or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7173143km in nanometers?\nAnswer: 717314300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 167496 or 167403?\nAnswer: 167496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 147424 > 147424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + 11 - -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 7*i - 2. Let h be s(-5). Let o be (0 - -1)*(2 + -4). What is the units digit of o\/h + 105\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x**2 - 6*x + 2. Let r(o) = 7*o**2 + 5*o - 2. Let k(y) = -4*f(y) - 5*r(y). Let i(z) = 5*z**2 - 6*z + 11. Give 6*i(t) - 34*k(t).\nAnswer: -4*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 0)*(108*f**2 - 12477*f**3 - 11138*f + 6237*f**3 + 6239*f**3 - 106*f**2) as m*f**2 + n + t*f + d*f**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/161 smaller than 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -47\/24, 1944, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l + 1. Let n be 1\/(-4 + (5 - 0)). Let r(p) = p. What is n*o(b) - 6*r(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1126*a**3 - 3*a**2 - 121*a + 375. What are the prime factors of v(3)?\nAnswer: 3, 7, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17708187 or -17708182?\nAnswer: -17708182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13335703123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 26*m - 14. Give f(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 - (5 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*l - 570, 7*l - 3*l - q = 783. Is l a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 6*y + 9. Suppose 0 = 12*w + 930 - 966. Give p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 4*i - 2. Let k be j(-1). Let z be (0 + 0)*k + 2. Factor -8*l**2 + 6*l**3 + 3*l**z - 13*l**2 - 2*l**3 + 8*l.\nAnswer: 2*l*(l - 4)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 7.2 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(117) + 3 + sqrt(78)\/(-5*sqrt(6)))**2.\nAnswer: 112*sqrt(13)\/5 + 2948\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 3. Suppose g + 3*g + 16 = 0. Let j be r(g). Solve 0 = -5*t - 4*c + 7, j*t + 19 = t + 5*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 197352978*k - 3245683160455707.\nAnswer: -3*(k + 32892163)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 19 = -21. Let f = -188 - -173. Let n be (-111)\/f - 6\/(-10). Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*c - 29*c + 39*c - 2*c - 2*c + 5*c + 0 + 0 + c + (-1 + 4 - 6)*(0*c + c - 3*c) - c - 3*c + 3*c as u + p*c and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 9*f + 6. Let o be g(-6). Let x = o + -17. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14563*t**3 + 3*t**2 - 3 wrt t.\nAnswer: -87378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-145)\/(-6) + (0 - 1) and 56\/8 - 484\/52.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1120 + 3380?\nAnswer: 44a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1308069, -1308067, -1308065, -1308063, -1308061, -1308059?\n\"Answer: 2*b - 1308071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyzyssyzxpss. Give prob of picking 1 x, 1 s, and 2 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*m + 21 + 7, 5*m = 2*b - 27. Let q = -2 + b. What are the prime factors of -1*(q + 11)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111100110 (base 2) to base 5\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17939666 is divided by 854269.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 147560, 147556, 147552, 147548, 147544, 147540?\n\"Answer: -4*l + 147564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 5*p - 15, k + 0*k - 17 = 4*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 1 + 0 + (20 - 22) + 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 7*z**2 - 12*z - 5. Give j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**4*h + 70*d**3*h**2 + d**3*h - 5*d*h**2 - 19*d + 2*h**2 wrt d.\nAnswer: 12*d**2*h + 420*d*h**2 + 6*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2156 and 48356?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6504 is divided by 6501.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -7*m + 270. Let p(r) = 4*r + 18. Let t be p(-12). Let f = t - m. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8 and -41\/187427412.\nAnswer: 374854824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -26?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -133 + -2?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*p**5*y + 9*p**4*y + 9*p**3*y + 2635672*p**2*y wrt p.\nAnswer: -6240*p**2*y + 216*p*y + 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + 4*m + (-m + 3*m - m)*(-1 + 4 + 3))*(4*m**3 - m**3 - m**3) - 5 + 2*m**4 + 5.\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*w - 24 = 95*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10.5 * -0.76\nAnswer: 7.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d + q, -5*d + q + 3*q + 8 = 0. Suppose -d*t - 4*z + 2*z = -94, t - 3*z = 13. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3481 - 1107*t**2 - 3097*t**2 + 3481 - 893*t**2 to the form n*t**2 + z*t + y and give n.\nAnswer: -5097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((31995\/(-324))\/(-79))\/(5\/188)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.952394327 to 2 decimal places.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i**2 - 9*i - 8. Let g be p(-3). Which is smaller: -9\/47 or g?\nAnswer: -9\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1548925.\nAnswer: 5, 7, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Let h(i) = 10*i - 9*i - 2 - 9*i + 19*i - 10*i. Give h(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-26))\/(((-38540)\/(-611))\/82)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -21, -22, -23, -24?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43042184.\nAnswer: 2, 139, 38707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4451287\/1109768 - -9\/25222. Let m = l - 51\/11. Which is the smallest value? (a) 0.3 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 7. Let t be k(7). Suppose 3*l - 4*l + 2 = t. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34510298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*i - 344*i - s = 14, -i - 5*s = 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -18, -3\/4, -50, -2, -0.5 in descending order.\nAnswer: 6, -0.5, -3\/4, -2, -18, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-6 + 11 - 7) + 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 1\/6*n**3 + 0*n + 2*n**2 - 1\/60*n**5 - 1\/24*n**4 + 0. Let s be y(0). Solve -2*l + 4 = -a + 3*l, 0 = 5*a - 4*l - s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, b: 1, a: 8, i: 2, f: 1}. Give prob of sequence fr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1, -2 in decreasing order.\nAnswer: 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - q + 0*q)*(-67 - 231 + 40) + (1 - 2*q - 1)*(-1 - 3 + 2) + 3*q - 2*q - 3*q to c*q + s and give c.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61020, 5, 0, 2, 3 in increasing order.\nAnswer: 0, 2, 3, 5, 61020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5.5 times 2324.1\nAnswer: 12782.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -203\/174240 and 8\/71907?\nAnswer: 379668960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1283769939 to 3 dps.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - l**3 - 113*l**4 + 3*l**3 + 111*l**4 + 9 - l + 0*l**3 to b*l**3 + x + g*l**4 + k*l**2 + u*l and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6067 divided by 1\nAnswer: -6067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.110665182 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) 0.2 (c) -88 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.3, 143, -3, 0.2 in decreasing order.\nAnswer: 143, 0.3, 0.2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -20556975.6?\nAnswer: 20556975.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**5 + 162*q**4 - 1266*q**3 + 896*q**2 + 11319*q + 6174 = 0 for q.\nAnswer: -2, -3\/5, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 7:03 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (-32 - (10 + -48)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -30. Let i(m) = m + 13*m - 4*m - 8 + p*m. What are the prime factors of i(6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)\/s)**(-1\/35)*s**(3\/8)\/s*s**(-4\/9))\/((s\/s**(1\/3))\/(s*(s**(-2\/11)*s*s)\/s))**10 assuming s is positive.\nAnswer: s**(289951\/27720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -32 - ((-26 - (-48 - -26)) + 15 + 0)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**3 + 68 - 284 + 70 + 68 + 69 - 7*g**2 in the form l*g**2 + p + h*g**3 + z*g and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -2)\/3 + -9. Let v = n - -13. Suppose j + 20 = -v*j. Put j, -1, -5 in ascending order.\nAnswer: -5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0 = 6. Let k = y - 3. What is the nearest to 2\/5 in 0.1, -5, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 13*o**2 - o + o. Let c be (15\/10)\/((-12)\/(-8)). Let t(l) = c - 5690*l**2 + 5691*l**2 - 1. What is t(k(p))?\nAnswer: 169*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t + 1. Let u(n) = -n - 1. Let o be 240\/14 - 16 - (-30)\/(-14). What is o*v(k) + 4*u(k)?\nAnswer: 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmpmpmppq. Give prob of sequence ppp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - d)*(-d + 0*d - d)*(3*d**2 - 14*d**2 + d**2).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q + 177*q**2 - 81 - 2*q - 178*q**2 with respect to q.\nAnswer: -2*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17424.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y. Let l = -25 + 13. Let x = 15 + l. Solve x*m + 0*m = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 15. Let l = 0 - 8. Let t = k - l. Is t not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + 3\/(-1) + 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -1\/10 (b) -6 (c) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841 a factor of 13199286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/(z*z*z**(-1\/2)*z))**(-19\/3) assuming z is positive.\nAnswer: z**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmhejzt. Give prob of sequence th.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88037014 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1) + 87 + -82 - 23.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-3*sqrt(88)*-3 - sqrt(88))*5)\/((sqrt(8) - (sqrt(8) + sqrt(160)\/sqrt(5) + sqrt(8))) + sqrt(1152)*1 + sqrt(1152)))**2.\nAnswer: 70400\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -5 (c) 0.3 (d) -71 (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1633 - (-2 - (-6)\/2). Let c = -8107\/5 - k. Let m = -113943\/10 + 11406. Find the common denominator of c and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 6.9. Let n(y) = y**3 + y**2 + y - 5. Let z be n(0). Which is the closest to o? (a) 4 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2122029 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2389 + -309. Suppose -43*y - c + 7842 = 0. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.90173966 rounded to 3 decimal places?\nAnswer: 0.902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/831 and -17\/2767.\nAnswer: 2299377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -22.55. Let k = -0.35 + a. Let o = 0.04 - -0.36. Put o, k, 0 in descending order.\nAnswer: o, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117 is divided by 909.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - -223. Suppose 5*v + 5*j - h = 0, -3*v + 7*v = j + 224. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 536899 = 5*n, -3*u - 214786 = 2*n + 2*u. Let y = -75583 - n. What is y rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 3*w + 1. Calculate k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172*y - 43*y + 3 - 305*y - 343*y to n + p*y and give p.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104213214 (base 6) to base 13.\nAnswer: 50c5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279600 and 9553000?\nAnswer: 57318000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4555 = -6*b + 947. List the prime factors of b.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5336610 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = -0*g. Suppose -2*f - 16 = -3*s, 5*s = g*s + 4*f + 22. Suppose -3*k = s*k + 4*j - 7, -10 = 5*j. Solve -t = -1 - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37c + -13?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*u - 1128 = 36 - 189. Solve u*x = 22*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.17 or -0.1?\nAnswer: 5.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18667\/22)\/(-2*5\/60). Which is smaller: -15271\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, i: 3, v: 13}. What is prob of sequence vv?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21431346?\nAnswer: 2, 3, 191, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/87073 + -5311178\/23945075. Calculate the common denominator of -7\/200 and w.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9850271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979111354 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86622*t + 66 = 11*q - 86626*t, 5*t + 41 = -7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -7*b**3\/3 + b**2\/2 + 4. What is the second derivative of i(d) wrt d?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219 is divided by 259?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ddb8a (base 15) in base 4?\nAnswer: 101022333220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 10*a. Suppose -3*k + 28 + 32 = a. What is the highest common factor of 140 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 - (7\/14)\/(15\/(-11)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.44 - 328.44. Let y = 321.91 + d. Which is smaller: y or -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 9:51 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-44))\/(((-271)\/(-2168))\/(6\/(-8)))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*(-80)\/224.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybybylyyylbbby. What is prob of picking 2 b?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5362 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l**2 + 10. Let c(z) = 2*z**2 + 2. Let h(v) = a(v) - 5*c(v). Let p(o) = -9*o**2 - 2*o. Determine h(p(t)).\nAnswer: -81*t**4 - 36*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 156585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -74, -504, -1594, -3644, -6954, -11824, -18554?\n\"Answer: -50*r**3 - 30*r**2 + 10*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -27.60782.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 53*x = -6048. Which is smaller: x or -221?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68\/7 - 10. Let f be ((-15)\/10)\/(3\/(-2)). Which is the nearest to f? (a) 1 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/25*(-2)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1049, -1044, -1027, -992, -933, -844?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 225025462 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 7. Suppose 20 + 0 = -g*v. What is the remainder when 54 is divided by 1*11 - (1 + v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 3)*(0*g + 0*g + 2*g) + (41849 - 49*g - 41849)*(-2 + 7 - 3) to the form f + t*g and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (7256\/6)\/((-40)\/(-30)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*t - 3*t. Calculate the common denominator of t\/(-44) + 240\/(-11) and 133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 370, -2\/17, 19 in ascending order.\nAnswer: -2\/17, 19, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 35.638?\nAnswer: 178.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 12 - 5*s**2 + 9 - 4*s - 5*s - 3*s**2. Let q = -5 + -2. Let i be f(q). What is the greatest common divisor of i and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x + 9. Let s be n(-4). Let y = s - -24. Solve 1 = -o, 5 - y = -2*t + 2*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-8)\/80*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -596*f + 1636 + 3728 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -96 + 57 + 39 + 50*u**2. Let v(m) = -6*m - 4. Let p(w) = -14*w - 9. Let o(i) = 4*p(i) - 9*v(i). Calculate n(o(z)).\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09482224 - -0.2648228. Let n = -0.17 + r. Round n to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.706252 millilitres in litres?\nAnswer: 0.000706252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3\/l**(-10))\/(l**2*l**(-1)))**(-5\/4) assuming l is positive.\nAnswer: l**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 3. Let b(g) = -358*g + 4. Let j(q) = -322*q + 4. Let a(i) = 9*b(i) - 10*j(i). Give 2*a(z) - 3*t(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-117) + (-518)\/(-18). Suppose -2*g = -2*z + g + 23, z = 5*g + f. Solve -a = z*p + 16, -a + 5 = -0*a - 3*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 7*c + 5. Let m be z(6). Let x(a) = -4*a**2 - 2*a + 3. Let b(g) = g**2 + g - 1. Let k(w) = -5*b(w) - 2*x(w). Determine k(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + (sqrt(19) - (2 + sqrt(1216)))))*2 + -6*(sqrt(95)\/sqrt(5) + 1).\nAnswer: -2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 168, 380, 592, 804, 1016, 1228?\n\"Answer: 212*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 4:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -50*z**3 + 2. Let o(g) = 4350*g**3 - 175. Determine -2*o(b) - 175*r(b).\nAnswer: 50*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muwn when four letters picked without replacement from nuunuwwummw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 332209 and -3.7.\nAnswer: -1229173.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30338.71 litres to millilitres.\nAnswer: 30338710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o + o)*(1 - 2 + 3) + (-784*o - 281*o - 127*o + 25*o - 234*o)*(1 + 2 - 1).\nAnswer: -2798*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954812799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/2*2052\/45144\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(225)\/((sqrt(640) + sqrt(40))\/sqrt(8) - sqrt(5)))*-2*-3.\nAnswer: 9*sqrt(5)\/2 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 2*t - 16*s, -2*s = -6 - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1136402*m**2 + 219694*m.\nAnswer: -2272804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (-2*sqrt(600) + sqrt(600))) + sqrt(24) - 4*sqrt(24)*1)\/((sqrt(392) - 5*(-1*sqrt(392) - sqrt(392))) + sqrt(392)).\nAnswer: sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 - 2. Let i = 46 + -49.6. Let n = i - m. Which is the closest to -0.1? (a) 3 (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 23*g + 1 = 0. Put g, 2, 5, -5 in ascending order.\nAnswer: -5, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396566235?\nAnswer: 3, 5, 13, 677891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 18. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 7*b**2 - 7*b - 2. Let r be v(-6). Is 2 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 + 904*t\/9 - 1490\/3.\nAnswer: -2*(t - 447)*(t - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*n - 50 - 15, 0 = 5*k - 35. Solve -7*w = -4*y + n, 0 = -4*w - y - 3 + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.730168 + 0.73. Round q to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87087*t**3 + 85*t - 5453 wrt t.\nAnswer: -522522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000030272983 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - (-6 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 - 107*l - 35. Give m(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(171) + 4))**2 + (((sqrt(1900) + 1 + sqrt(1900))**2 - sqrt(19)) + sqrt(19) - (sqrt(304) - 4*sqrt(304))).\nAnswer: -12595 - 2540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342069280 divided by -8?\nAnswer: -42758660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*r = 40, -19 = -2*v - 18597*r + 18594*r - 62 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8*c = 8*c. Let v be c - ((-1)\/(32\/(-108)) - 3). Which is bigger: 0.11 or v?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*d + 28 = 3*u, -3*u - 4*d = -108. Let l(r) = u - r - 78 + 41. Calculate l(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -300 - 54*i**2 - 87*i + 195*i**2 - 78*i**2 - 66*i**2 = 0. What is i?\nAnswer: -25, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*n = 25*n + 1514 - 1186 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 2*x + 1. Let p(h) = 2*h + 56. Let l be p(-27). What is the remainder when 59 is divided by n(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2181*t. Let p(h) = -264*h**2 + 32*h. Calculate b(p(f)).\nAnswer: 575784*f**2 - 69792*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/28877 or -1?\nAnswer: -3\/28877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.0536 to 1 decimal place.\nAnswer: 20.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40308 divided by -1005?\nAnswer: -13436\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-10) + (-14)\/12. Let v(b) be the second derivative of 1\/6*b**4 - 2*b - t*b**3 + 0*b**2 + 1\/2*b**5 + 1\/5*b**6 + 0. Suppose v(x) = 0. What is x?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6*r + 3. Let a be i(-6). Suppose -2*t + 7 = a. Let n(q) = q**2 + 2*q + 3. Let f(m) = -m**3 - m**2 - m - 1. Give t*f(p) + n(p).\nAnswer: -2*p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.271 - -3.171. Which is the nearest to 0? (a) 5 (b) k (c) 68 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:16 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-480)\/(-224))\/(5*(-90)\/(-150))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e130 - 4?\nAnswer: e12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(((c*c\/c**0*c)\/c)\/c))*c*c*(c\/c**(-1)*c)\/c)\/(c\/(c*c**0*c))**(1\/43))\/((c\/(c*c*c**0))**(1\/8))**(-8\/9) assuming c is positive.\nAnswer: c**(1901\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6*r - 2. Suppose 3*n + 15 = -0*n. Calculate the remainder when 10 is divided by i(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 + 93. Calculate the remainder when u is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7205787\/13 or -554291?\nAnswer: -7205787\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Suppose 0*d - k = -4*d. Suppose n - d = -6. Let m(a) = -2*a + 2. Calculate m(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/15*-14*10. What are the prime factors of m\/14 - 1*-43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-16))\/(2\/4). Suppose -g - n*p + 11 = -0*g, 0 = 2*g + 4*p - 18. Let h(z) = z**2 - 6*z + 2. Give h(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0*b + 2*b**3 + 0 - 4\/9*b**4 + 10\/9*b**2 = 0.\nAnswer: -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 4. Let y be (b\/(-3))\/((-14)\/6). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = -15*m - 6*m + 23*a - 10 - 7, -4 = 4*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = b + 2*n, 8*b - 3*b - 1356 = -n. Suppose 4*c = -2*p + 576, -c + b = p - 3*c. Is p a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 0.516, 130 in descending order.\nAnswer: 130, 0.516, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -133995*k**2 - 129*k\/4 = 0.\nAnswer: -43\/178660, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/255433 and -5\/9989?\nAnswer: 1788031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 161240 to the nearest 1000.\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 76.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let u be i\/(1\/(-4))*-1. Let h(l) = -4*l - 4. Let w be h(-7). What is the greatest common divisor of u and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -0.2, 1\/2080, 0.7?\nAnswer: 1\/2080","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*h + 24 = -341*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:22 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/8)\/(p\/p**2))**(-7\/2) assuming p is positive.\nAnswer: p**(-77\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3600 = -6*n - 10*n - 56*n. Let t(k) = 18*k. Let s be t(-1). Let z = s + n. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + s - 54 = -13, -52 = 3*k - 5*s. Let j(t) = -t**2 - 13*t + 6. Is 7 a factor of j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2330*b + 53593. Give w(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/14 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5485 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 75. Let m be ((-12)\/o)\/((-8)\/(-84)). Suppose -405 = -m*g + 4*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (1011\/9 - (-2)\/(-6)). Suppose f = -21 + y. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**3 - 49*q**2 - 32*q - 115. Let f(n) = -4*n**3 + 48*n**2 + 33*n + 96. Let h(i) = -7*f(i) - 6*t(i). Determine h(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + 0*v**4 - 3*v**4)*(v - v + 12*v) + v**5 + 0*v + 0*v - v**3 + v**3 + v**5 + (-2*v**3 - 2*v + 2*v)*(v**2 - 2*v + 2*v) - 3*v**5 + 5*v**5 - 3*v**5.\nAnswer: -13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 5*s**2 + s - 3. Let p be c(5). Suppose 2 = 4*g - p. Sort 4, g, 5 in increasing order.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021 + 111?\nAnswer: -11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(17\/(-8))\/(2\/8). Let j = o + -46. Determine a so that 42*a - 104*a**2 + 28*a**3 - j*a + 24 + 15*a = 0.\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515230611?\nAnswer: 3, 7, 17, 1443223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155\/127 != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5 - 24*d**4 + 164*d**3 - 218*d**2 - 165*d + 242 = 0.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28485.\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 10*z + 3. Let i = 78 + -78. Let y be p(i). Solve -t - 8 = y*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhzhgzgh. Give prob of sequence gzgh.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4687944542?\nAnswer: 2, 2343972271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 260.09 - 257. Let u = s - 0.09. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (35 - 15) - (17 - -1 - 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 59861 = 1060. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/m**(-1\/12))\/m)*m\/((m*m*m\/(m**2\/m)*m)\/m))\/(m**0*m)**(-50) assuming m is positive.\nAnswer: m**(587\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-11358915.\nAnswer: -1135891.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 50851045.27 to the nearest 1000.\nAnswer: 50851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(4 - (-1 - -4)). Suppose 5*v - 30 = -u*v. Let h be 4\/5*25\/2. Solve 0 = -c + v*c - h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y - 24*y + 891*y**2 - 26*y + 65*y + 10*y.\nAnswer: 891*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -1.8. Let y = 3 - u. Let g be 68\/(-34)*2\/(-12). Sort g, -5, y in descending order.\nAnswer: y, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 8 = 2, i - 18 = 2*x. Let j = 57 - 100. Let k = j - -45. What is the fourth biggest value in x, -5, -2\/7, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/(-1)*(3 + -5). Solve -m + 3 = o - 3, 20 = v*o + 4*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687056420.\nAnswer: 2, 5, 61, 233, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -4)\/(3\/(-24)). Let r = x - 2. Which is the closest to -1? (a) r (b) 0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -141\/2? (a) -102 (b) -0.7 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -3, 1 in decreasing order.\nAnswer: 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71104 divided by 200.\nAnswer: -8888\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 13*z - 14. Let o be q(-4). Factor o - 100*p + 15*p - 26 + 46*p**2 - 66*p**2.\nAnswer: -5*(p + 4)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*1 - 22912\/(-358). Solve j*x - 69*x = 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, j: 7}. Give prob of picking 2 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/80 and 19\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25873\/39767 - 25\/437. Let v = 132341\/26 - 5089. Find the common denominator of m and v.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, 5, -3\/8, 2\/35 in decreasing order.\nAnswer: 5, 4, 2\/35, -0.2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4 - 5. Suppose v*n - 2*n = 12. Let c = n + -7. Solve -4*g - c*l + 11 = -8*g, 5*l = 5*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 234.9 + -234.9000001073. Round w to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {n: 1, x: 3, a: 3, p: 4, j: 2, q: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 428*d - 4693. Calculate the smallest common multiple of p(11) and 655.\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157178359 rounded to the nearest 1000000?\nAnswer: -157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -4, 8, -2\/17.\nAnswer: -4, -1\/6, -2\/17, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.5 + -14. Let b = -0.0248 + -153.1752. Let n = -153 - b. Put 0.1, 7, n, s in decreasing order.\nAnswer: 7, s, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*v + 1. Suppose 0 = -2*j - 4*r - 8, -3*j = -r - 1 - v. Solve 0 = -j*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -11 - 5, 0 = -4*t + 5*u - 20. Which is smaller: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24196, -48416, -72634, -96850?\nAnswer: -121064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 86463 and -0.3.\nAnswer: -25938.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5950596, -5950499, -5950388, -5950257, -5950100, -5949911?\nAnswer: -5949684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 908560*s + 964906?\nAnswer: 908560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 26. Suppose -3*o - 5*a = -62, 11 = 4*o + 5*a - 70. Suppose 0 = f + 4*u + o, -4*f - 25 = 4*u + 27. Do v and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 403*o + 404. Determine g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*l + 6436 + 2180 = 0 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*v - 87*v**2 - 1808*v + 2236*v**2 + 896*v.\nAnswer: 2149*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4876?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (369 - 41*w - 369)*(6*w + 17 - 17)*(1 - 3 + 4) + (-3*w + 4*w - 3*w)*(0*w + w - 2*w) + w - w + 2*w**2 to z*w + j + u*w**2 and give u.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:32 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 5. Let s = 3 - 0. Let t = -1 - s. What is the units digit of u(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 82. Let w(f) be the first derivative of -f**3\/3 + 3*f**2\/2 + f - 1. What is w(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532.8158nm in millimeters?\nAnswer: 0.0005328158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/15 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 15.0954. Let a = m - 4.0946. What is a rounded to one dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -478\/1425 + 1\/475. Which is the nearest to -4? (a) i (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 27*p + 127. Let y be (-2)\/((-120)\/(-62) + -2). Let a be x(y). Solve 2*b - s - 7 = 0, -s + 1 = -a*b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22351?\nAnswer: 7, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**6\/180 - 16*i**3\/3 - i**2\/2 - 171. Let c(k) be the third derivative of n(k). Let w(r) = -448*r. Give w(c(t)).\nAnswer: -896*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1869311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -20. Suppose 3*i - 187 = -5*q, 0*q = -q + t*i + 43. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 4, 31, 92, 199, 364, 599?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/7 + 564*s**4\/7 + 47472*s**3\/7 + 1105760*s**2\/7 + 1432800*s + 4536000 = 0. What is s?\nAnswer: -126, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 12461439.\nAnswer: 12461443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/6 + 19*j. Let s = -2 + 2. Let h(g) = 0 - 2*g**2 + s. What is h(v(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*y - 44280 = -1150*y for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2) - (-1999)\/30. Let j = q + -65. Let h = 1.1 - 0.8. Which is the second smallest value? (a) j (b) h (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 28. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2713 and 44074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - w)*(2*w - 4*w - 3*w) + (-5*w - 4 + 4)*(9*w - 20*w + 7*w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 3)*(-3*f + f + f) + (-1 + 1 + 2*f)*(2 + 2 - 6))*(6*f - 22197 - 27*f + 22189) as h + u*f**2 + q*f and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 822660 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9 = 4*s - 77, 4*y = -12. What is the highest common divisor of s and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 131449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 23 (c) -1\/8 (d) 981 (e) 0.1 (f) -0.4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.7 + 32. Let n = -106\/3 - -730\/21. Which is the third smallest value? (a) 0 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100*3\/(-84) - 4\/1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2120.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 10. Suppose v*z = -81545 - 2055. Round z to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imigqvqz. What is prob of picking 1 i and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -632?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 22 = 4*d, 3*d - r - 10 = 4. What is the first derivative of -2 - 4*c - d*c + 6*c wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 8. Let a be b(4). Let p(u) = -7*u**2 - 2. Let d(x) = 12*x**2 - 177. Let q(z) = -z**2 + 45. Let y(t) = d(t) + 4*q(t). Determine a*y(v) - 5*p(v).\nAnswer: 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87468053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t + 49. Let b be i(15). What is the units digit of ((-2)\/4)\/(b\/(-376))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98282?\nAnswer: 2, 157, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 9. Suppose 303*d + 7059 = 846*d. Suppose -a = -m + 60, -3*a - 141 = -2*m - 8*a. Let i be m\/d - ((-16)\/104)\/1. Give c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n**2 + 3. Let r be t(-5). Suppose -6*z + z - 2*g + 422 = 0, -3*z - g = -r. What is the highest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 5*r**2 - 8*r - 8. Let k be o(-6). Let d = k + 47. Calculate the remainder when d is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29823408*i**3*j**3 - i**3*j**2 - 3*i**2*j**2 - 419617*j**3 wrt i?\nAnswer: 178940448*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/10 - 63\/70 and -17\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4424*h + 38226 - 83416 = -545102 for h.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55800)\/660 - -92)\/(20\/55).\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -5.\nAnswer: -5, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221453 (base 7) to base 8.\nAnswer: 114121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjrm when four letters picked without replacement from rjfmrkfrrfdjrrj?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/2, -4, -3\/5, 13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 11*i - 4*s + 896 = 0, 4*s = -16. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55480, -55479, -55478?\nAnswer: -55477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-143260)\/(-1140)*(-6)\/(-26)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*l + 31, 2*l = -3*k - l - 9. Let a = -6 - -6. Let o(i) = a*i**3 + 0*i + 2 - 2*i**2 + i**3 - i. Determine o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(1\/2))\/(-2). Let r = 5 + x. Suppose 5*z = -19*z + 24. Sort -0.5, r, z.\nAnswer: -0.5, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 37 = -5*n. Let q be 5\/(-25)*n\/3. Is 0 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 850622 and 606?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1471199 = 608801. What is l rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-4)*15520\/2328?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdtq when four letters picked without replacement from {q: 2, d: 4, t: 7}.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46928.\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -245\/2484?\nAnswer: -245\/2484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 7*w. Let u be v(-3). Let k be -1 + (u\/18 - (-95)\/6). Let d = k - 43\/3. Which is smaller: d or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/9)\/10)\/((-1)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -105510?\nAnswer: 105504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let l be 11\/2 - v\/4. Solve l*c - 6 - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117)*2 + sqrt(117))\/sqrt(9).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 334401, 334401, 334399, 334395, 334389, 334381, 334371?\n\"Answer: -s**2 + 3*s + 334399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*l + 552, -u + 2*l = -68 - 71. Suppose -240 = -n + u. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Which is the nearest to 0.1? (a) -0.2 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 3*u + 0*u)*(-3355 - 253529*u + 10078 - 3359 - 3364) as c*u**2 + k + i*u and give c.\nAnswer: -253529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 10. Let v(q) = -1020789*q**2. Give x(v(z)).\nAnswer: -1020789*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*c*j**2 - c*j - 12*c + 3 with respect to j.\nAnswer: 112*c*j - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7\/3845?\nAnswer: -7\/3845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 35*y - 16*y + 8*y - 5*y**2 + 15*y**2 + 2*y**2 + 38. Is q(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k - 4. Let x be y(-3). Let d = 22 - x. Solve -2*i - d*w - 4 = -2, 3*i - 4*w = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -302*z - 28081. What is m(-93)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 998503061 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**3 + 0*p**4 - 2*p + 1\/60*p**5 + 0*p**2 + 0 - 1\/90*p**6. Factor v(i).\nAnswer: -i**3*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cicoptccpitciptcctc. What is prob of picking 1 t and 3 c?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*y + 1044 = -915*y + 445*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/72 + 11*x**5\/24 - 25*x**4\/12 - 29*x**3\/2 + 4*x**2 + 5*x. Let p(a) be the first derivative of h(a). Factor p(m).\nAnswer: -5*(m - 10)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-84)*4)\/(6\/(-12))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10250\/(-4200) - (-2)\/(-7). Let q = h - -43\/12. Suppose 4\/7 + 2\/7*i**2 - q*i = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 37, 74, 129, 208, 317, 462?\n\"Answer: z**3 + 18*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/16 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482206 + 482206 + 1290*t**2.\nAnswer: 1290*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + m**2 + 4*m**2)*(2 - 2 + m - 4*m + 3*m - 3*m + (-3*m + 1 - 1)*(2 - 5 + 4)).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -197*j + 2. Let s be o(-7). Suppose s = -i + 371. What is i rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**3 - 11*b**2 - 26*b - 9. Let m(y) = -y**3 - 2*y**2 - 5*y - 2. What is 11*m(a) - 2*w(a)?\nAnswer: -a**3 - 3*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1373405.\nAnswer: -2\/1373405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 158 times -7\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229349 + 0.52.\nAnswer: -229348.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 466*p**2 - 4*p + 3. Let t be o(-3). What is t rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*r + 48. Solve -r = -4*z - 0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 84 - 21 = 0. Suppose 0 = -k*x + 17*x + 1796. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1005102 and 15954.\nAnswer: 1005102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1276499733 + 9.57.\nAnswer: 1276499742.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3675 = -2*t + 1583. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 + 0 = 0. Suppose -o - 5*f = -4*f - 5, -21 = -v*o - f. Suppose -o*p = 4*n + 8, -5*p + 27 = -p - 3*n. Solve -p*c - 4 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 7*f - 8. Let d be b(-10). Let a(x) = -22*x - 4*x**3 + 4*x + 3 - 1 - d + 15*x**2 + 5*x**3. Determine a(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4 - 6872984*x**3 + 5904779870792*x**2 - 70856616168960*x + 212569106227200 = 0.\nAnswer: 6, 1718240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4027482 is divided by 1585?\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) 0.1 (c) 1\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g\/(g*g**(-9)))\/g))\/(((g\/g**(-11\/2))\/g)\/g))**(1\/55) assuming g is positive.\nAnswer: g**(-21\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857293 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-21))\/((-66840)\/31192)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 15*c**4\/2 + 49*c**3\/3 + 281*c**2\/2 + 12*c + 645. What is the second derivative of p(k) wrt k?\nAnswer: 180*k + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.8105 and -16031371.\nAnswer: -16031368.1895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**5\/25 - x**4\/30 + 3*x + 6. Let a(g) be the first derivative of b(g). Solve a(l) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61153 + -61153. Let h = -2 + 2. What is the closest to y in 2, h, -1\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27077421?\nAnswer: 3, 7, 1289401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = 45*x - 4*x + 59*x. Let b be (-2)\/6 - 44\/(-6). Solve 0 = -x*m + b - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13413835 to the nearest integer?\nAnswer: 3662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 11. Let o = 52 - 570\/11. Which is the smallest value? (a) o (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4658 is divided by (57 + -7)*11\/(-22)*4\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(-33)*(-561)\/102 - 1\/(9\/(-30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197\/345 - -2\/69. Which is the nearest to -1? (a) 0.3 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0*o**4 - 3*o**2 - 11*o + 0 + 0*o**3 + 1\/10*o**5. Let d(c) = -13*c**2. What is d(r(g))?\nAnswer: -468*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151815*a - 55897*a + 3 - 3.\nAnswer: 95918*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 - 98*a**2 + 116*a + 806. Let p be d(-50). Put -2, 5, 3, -16, p in increasing order.\nAnswer: -16, -2, 3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 770 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 146, -2\/13 in ascending order.\nAnswer: -2\/13, 1\/2, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4\/3, 5, 5.4, -6 in increasing order.\nAnswer: -15, -6, 4\/3, 5, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j. Let c(u) be the third derivative of 21*u**5\/20 + 3*u**2 + 24*u. Calculate c(m(g)).\nAnswer: 567*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 2. Let b = 1867 + -1867.2. Put b, f, 5, 4 in descending order.\nAnswer: f, 5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21*(2 + 16\/(-6)). Let g be (2 + -3)\/(1\/a). Let t = g - 1. What is the remainder when 37 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1.02?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*s - 3*s - 5*s + (-1 - 4 + 2)*(1 + 1 - 1)*(-30 + 72 - 31)*(25*s - 50*s + 30*s).\nAnswer: -161*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 41497.38771 to the nearest integer.\nAnswer: 41497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4, -1\/48, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2 + 4 + x - 1. Let w be u(-5). Let v = 8 + 8. Solve -4*k = -w - v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1890\/2205*595\/(-10)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 - 3125178*x**2 + 6250365*x - 3125184 = 0. What is x?\nAnswer: -1041728, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 18*d**2 + 14*d + 48. Suppose 0 = n + 4*i + 31, 2*n - 3*n + 5*i = 13. Is z(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 4 (c) -0.44 (d) 0.394 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*z = -8*z - 677, 2*j = 3*z + 451. Let h = j + -431. Find the common denominator of ((-12)\/126)\/((-8)\/h) and -29\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 11 - 14. Suppose 4*y = a + 7, g*y + 0 = 5*a + 5. Let f be (1 + (0 - 2))*(a - 1). Solve -2 = l - f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128 - 32128828.43?\nAnswer: -32128828.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 84, 172, 300, 480, 724, 1044?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0*s + 0 + 9*s + 3 - 2. Let l be a(1). Let z be ((-375)\/(-20))\/(3\/8). What is the highest common divisor of z and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10807 is divided by 1214?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -20*s + 38. Let n be l(2). Calculate the remainder when n*1*623\/(-178) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5086\/677 > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, h: 8}. What is prob of picking 1 y and 3 h?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/4)\/(13\/(-208)). Suppose -t*k = d - 2007995, -2*k + 360774 = -2*d - 643236. Round k to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1387 - -12?\nAnswer: -1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (3 - 0)) + -3 - 0 - 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8518 - -8518.2. What is the closest to 2 in g, -1\/207, -1\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + -7 + 3 + 15 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 567 or 566?\nAnswer: 566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 4*u - 3. Let t be l(5). Suppose -5*v = 3*i, -v + t*v = i - 8. Is i greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**6\/240 - 3*p**5\/40 - 5*p**4\/16 - 7*p**3\/12 + 52*p**2. Factor d(h).\nAnswer: -(h + 1)**2*(h + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*m + 14 - 5, 0 = -3*j - 3*m + 18. Let k = 21 + -13. Let n = j - k. Let h(v) = -2*v - 5. Calculate h(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 122 and -2175285.4874.\nAnswer: -2175163.4874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 380996 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146 + -142. Calculate the remainder when 15 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/1183)\/(4\/(-28)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11129000 to the nearest one hundred thousand.\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12357755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 5*a**2 - 4*a**2 + (-5 - 3 - 4)*(2*a**2 - a + a).\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 336 = -3*p, -s - 8 = -2*p + 221. What is the least common multiple of p and 29?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.21 (b) -0.1 (c) -3.33 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -r - 0*r. Let q(n) = -3*n**2 + n**3 + 15 + 4*n + 15*n**2 - r*n. Let g be q(-13). Solve -g + 10 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -229, -348, -467, -586?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 11:35 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 561 = 69. What is the remainder when 224 is divided by l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let w be 40\/15 - 4\/6. Suppose 0 = w*p + p - 24. Let z(g) = -7*g + 7*g**2 + p*g - g. Determine z(k(y)).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*r**3 + 74*r**2 - 25*r**2 - 48*r**2 - 2*r to k + v*r**3 + j*r + q*r**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57747797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 19 = -n, -3*n + 4 - 17 = -4*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = -92*y + 263 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -1 - 2\/2. Let a(o) = 5 - 858*o**2 + o + 0*o + 5 + 244*o**g. Let y be a(-6). What is y rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 20*k - 10*k + 0 in the form c + j*k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = m + 21, t - 4*m - 8 = 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2613 - -2144. Suppose -3104 = -7*v + b. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001222440866 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1660.16 to the nearest ten.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-48))\/((-8)\/(-24)))\/((-18)\/(2016\/(-70))).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -5198131 and -0.2.\nAnswer: -5198131.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -51.6 - -25\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let h be (15\/4)\/((-2)\/8). Let u(d) = 7*d**2 - 2*d. Let i(q) = 50*q**2 - 16*q + 2*q - 3*q + 2*q. Let a(v) = h*u(v) + 2*i(v). Determine a(l(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7947, -7948, -7949?\nAnswer: -7950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 + (7 + -93)\/(-1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + -5*sqrt(475).\nAnswer: -24*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 5. Let v = 16 - 25. What is c(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37646357401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55.311 + -54.311. Let o = 0.3 + 0.2. Let d = 4.8 + -5. What is the closest to 15 in d, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 9) to base 3.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904734959.6 rounded to the nearest 1000000?\nAnswer: 1905000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 2*s - w, 3 = -3*s + w. Let a = s - -4. Let k be a\/8*(-1 - -1). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*q + 74 + 170*q - 85*q.\nAnswer: q + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -73, -11, 1429 in descending order.\nAnswer: 1429, 3\/5, -11, -73","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (2 - (-1 + 3)). Let k be (10 + 667\/(-58))*(-20)\/(-6). Put -50, g, k in decreasing order.\nAnswer: g, k, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*o**2 + 28*o**2 + 3*o**2 - 52*o**2 to m + f*o + b*o**2 and give b.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25614530 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*t - 20, 0 - 2 = -2*p - 2*t. Let x be 9\/p*4\/3. Let a be x\/(-9) - (-110)\/6. What is the greatest common divisor of 54 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*x - 166, -13*j + 18*j - 2*x - 204 = 0. Calculate the highest common divisor of j and 2090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.88039km to micrometers.\nAnswer: 61880390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5)**(-4\/9)*y\/((y**(3\/25)\/y)\/y)*y*y*y**30)**(-2\/15) assuming y is positive.\nAnswer: y**(-14696\/3375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 - 4*l - 5. Calculate o(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**2 + 124*f + 15. What is h(18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.848192 meters?\nAnswer: 2848192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-16) + (-1967945)\/(-1416). Let n = 1390 - o. Factor 0*a**3 - 8\/3*a + 1 - n*a**4 + 2*a**2.\nAnswer: -(a - 1)**3*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011001110011001101101 (base 2) to base 7\nAnswer: -114443136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 + 17*x**2 - 15*x + 18. Let s(t) = 2*t**3 - 8*t**2 + 8*t - 10. Calculate -4*o(u) - 7*s(u).\nAnswer: -2*u**3 - 12*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32166 divided by 3574.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) -0.3 (c) 369 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + -4 - 39\/(-4) and 6 - 7 - (-65)\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359904 to the power of 1\/2, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and -2080930.\nAnswer: -52023250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 149, -1.06, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -37 - (-7 - (-2 - 3 - 1))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/501972 and 107\/48.\nAnswer: 2007888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2352\/(-128) - -18 - (-10475)\/200.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 2*d - 60. Suppose -f + d - 5 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -9 (c) 29029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t + 30 - 3*t - 47*t - 12 + 6*t - 18.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8*b - 365 = 0. Let l be (-6)\/36 + b\/(-6). Let f = 14 - l. Solve -x = -f + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/16 - (-99)\/(-60)) + 2. Let h be -1*6 - 575\/(-92). Which is the closest to 1? (a) u (b) h (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 6. Suppose -4*x + 1 = 3*u - 23, 4*x + 4*u - 24 = 0. Suppose 0 = 3*f - 9, 2*j - q*f = f + x. 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 c(k) be the first derivative of -k**4\/4 + 7*k**3\/3 + 5*k**2\/2 + 11*k + 53. Is c(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -73?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.035 (b) -7386\/5 (c) -0.107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199575, 200311, 201047, 201783, 202519, 203255?\nAnswer: 203991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 + -117.015. Let r = 10.3 + -4.515. Let k = p - r. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9433 is divided by 2354?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, p: 8, n: 1}. What is prob of picking 1 p and 1 n?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 14. Let x be i(7). Let m = 80 - 73. Suppose 5*u - 8 = m. Solve 2*t - x = u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 35*b**2 + 34*b - 89. What is g(-36)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d - 1. Let h be j(0). Let z(c) = 2*c**2 + 2*c + 1. Let q = 0 - 1. Let t be z(q). Sort 4, t, h in decreasing order.\nAnswer: 4, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*c - 13712 = 1376 + 202. Solve -19*w + c = -13 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(1 + ((1*sqrt(343) - sqrt(343)) + -1)*5)**2*-5.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 3, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 287210?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 1558.0634.\nAnswer: -1558.0634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t + 5*y - 3, -5*t + 3*y = -13. Let l(c) = c - 7. Let n be l(10). Suppose -n*z + 6*z = -2*z. Solve k + z*i = t*i, 6 = k + i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjz when three letters picked without replacement from {f: 5, z: 2, j: 1, m: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*x + 17, 0 = 5*n + 684*x - 688*x - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223 + 222.8748. What is r rounded to 3 decimal places?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/9 (b) 1 (c) 1954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2341*q - 4262*q - 879*q - 4561*q - 1699*q to d*q + g and give d.\nAnswer: -9060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.775 + -45. Let z = 3.685 + m. Let g = -0.46 + z. Which is the third smallest value? (a) -2 (b) g (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x**3 + 11*x**2 - 5*x - 2. Let k(w) = -5*w**3 - 5*w**2 + 2*w + 1. Calculate 9*k(y) + 4*n(y).\nAnswer: -y**3 - y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**9\/3024 + c**8\/448 + c**7\/252 + 7*c**4\/6 + 11*c**2. Let n(p) be the second derivative of s(p). Let n(v) = 0. What is v?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(343)*-1 + sqrt(56)\/sqrt(2) - (-1 + sqrt(448))*1))**2.\nAnswer: -104*sqrt(7) + 1199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11823.\nAnswer: 3, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l - 3. Let x(k) = -3*k**2 - 9*k + 6. Let d(b) = 5*h(b) + 2*x(b). Let o be d(4). Let v = o + 24. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, 0.5, -29, 1\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2. Let b(y) = 400*y - 128. Give b(t) - 64*m(t).\nAnswer: 400*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 6.4 in descending order.\nAnswer: 12, 6.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 89, 54?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*v + 2407 - 2407 as s*v + x and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/10 and (-92)\/(-80) + -4 + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1475 - -1484. Solve b = 3*t - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17479 and 574783.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -4. Suppose -q*l = -2*l. Solve -o = -b + o + 15, 4*b - 4*o - 40 = l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:37 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l - 3312 = -114*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7266*f + 7260*f + 120. Solve -31*c + 36*c - f = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15904 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 2 s when four letters picked without replacement from {y: 2, u: 1, k: 10, s: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3181810899?\nAnswer: 3, 17, 62388449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 + 195*a**4 - 5060*a**3 + 25280*a**2 - 47040*a + 30160.\nAnswer: 5*(a - 13)*(a - 2)**3*(a + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2, 2.85, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12822226 by 30.\nAnswer: 6411113\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 less than or equal to -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 19*f**2 - 7*f + 16. Let z(h) = -4*h**2 + h + 2. Give d(a) + 4*z(a).\nAnswer: 3*a**2 - 3*a + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16*m**2 + 3361*m - 6922. Determine x(-212).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 7*m - 6. Let o be p(-5). Let i be -1 - (-2 - o)*1. Suppose 5*n - 2*x - 92 = 3*n, -i*n = -4*x - 227. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/30 + (-2)\/(-5). Suppose l*q = q + 90003. Let u be 3 - (2 - (2 - q)). Round u to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*s**5\/17 - 2188*s**4\/17 - 134478*s**3\/17 - 2369616*s**2\/17 - 255560*s - 2107200\/17 = 0. Calculate s.\nAnswer: -878\/3, -40, -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyyyyyy. Give prob of picking 1 b and 1 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 20*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03965 + 0.036405. What is n rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 4516, 0.3, 2\/7, 117\/16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4621274.1 seconds?\nAnswer: 1283.68725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30\/11? (a) -12\/31 (b) -2\/9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -20*m - 768. Let b be (-5 - 1)\/((-48)\/m). Suppose -9*x + b = -5*x. Solve 0 = 4*t - x*o + 3*o, o = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.92 + 6.21. Let q = 30 - x. Sort 0.3, q, -1, 1 in decreasing order.\nAnswer: 1, 0.3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -29*g**2 + 11*g + 25. Let k(x) = -10*x**2 + 4*x + 8. Determine -17*k(t) + 6*n(t).\nAnswer: -4*t**2 - 2*t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3795*f**3 + f**2 - 49*f + 49. What are the prime factors of u(1)?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) -0.31 (c) -2\/7 (d) -2\/5 (e) 0.4 (f) 0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2092446449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 (base 9) in base 2?\nAnswer: -11101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**5\/7 + 1100*t**4\/7 + 231892*t**3\/7 + 1134916*t**2\/7 + 668832*t\/7 - 2036736\/7 = 0.\nAnswer: -136, -3, 1, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1106*q*x - 47*q - 36 wrt x?\nAnswer: 1106*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 133*(-12)\/(-392) + -4\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 41. What is t(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 370*g*m**2*t + 112*g*m**2 - 3795*g*m*t**2 + 4*g*m*t - 10*m**3*t**2 + 2*m**3*t - 2*m**3 wrt t.\nAnswer: -7590*g*m - 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Let z be q(4). Solve 2 + 18 = z*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = -110*b + 111*b. Suppose b = 8*m - 715. Is m a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 + u**2 + u - 1. Let p(k) = -2*k**3 + 2*k**2 + 2*k - 1. Let y(j) = -3*p(j) + 4*t(j). Suppose -7 = 5*c + 18. Let w = 3 + c. Give y(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -2*x + 0*x**3 + 0*x**2 - 1 + 1\/4*x**4. What is the derivative of w(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -100 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/2*12\/(-18). Let r(h) be the second derivative of -1\/60*h**4 + h + 1\/10*h**2 + 1\/30*h**f - 1\/100*h**5 + 0. Let r(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**6\/90 + 31*o**5\/60 - 29*o**4\/12 + 85*o**3\/18 - 14*o**2\/3 + 68*o - 3. Suppose l(b) = 0. Calculate b.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -10. Suppose l = -2, 4*x - r*l = 15 + 9. Let n = 15 + x. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - -2*sqrt(66)*-5)\/sqrt(6))**2 + 4.\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -1\/2, 2\/15, 305?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 + 4*w**4 - 2*w**2 + 2*w - 5*w**4 + 0 + 1 in the form x*w + j*w**3 + d*w**4 + k*w**2 + r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Let y = -0.01 - 0.29. Let o = y + 0.5. Which is the second smallest value? (a) p (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.056 + -0.274. Let d = -0.13 - t. Let y = -2.18 - -0.18. Which is the nearest to d? (a) y (b) 0.5 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2528\/17 and -148 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/16, 2.6, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdlddfflllflf. Give prob of picking 3 d and 1 l.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moomm. What is prob of sequence ooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(210\/(-280))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331398 divided by 2434?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p + 1. What is the units digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -2 in descending order.\nAnswer: 6, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 2*i + 16. Let m be t(7). Let h = 19 + m. Solve h = 3*d - 4*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8557143.\nAnswer: 3, 7, 407483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(726) + (sqrt(192)*-2 - sqrt(192) - sqrt(192)))**2.\nAnswer: 369603\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*f - 9*f - 54*f)*(2 - 1 + 0)*(0*f**3 + 5*f**3 - 2*f**3) to g + q*f**2 + w*f**4 + s*f**3 + j*f and give w.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14187, -3, 214, -4 in decreasing order.\nAnswer: 214, -3, -4, -14187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 5*g + 10. Does 12 divide (-1145)\/g - 3\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 24*i = 120. Suppose i*f - 8 = 28*f. Solve -f*m = -m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 7*x - 2*x + 181, -k + 5*x + 64 = 0. What is the remainder when 923 is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-6)*78\/(-91).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.084 and 4974?\nAnswer: 4972.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let m(q) = -3558*q**2 + 72*q. Calculate m(c(n)).\nAnswer: -3558*n**2 - 72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**3 + 5*q**2 + 228*q - 5. Let w(i) = -9*i**3 - 7*i**2 - 342*i + 8. Let f(u) = -8*j(u) - 5*w(u). Find the second derivative of f(c) wrt c.\nAnswer: -18*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (4 + sqrt(7) - sqrt(7)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -632\/15 - 65\/3. Let w = 6749\/105 + d. Suppose 80218 = -60*c + 80218. Is c <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1123*x - 437. Determine s(0).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.4 (b) 2\/23 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17297 (base 10) to base 16.\nAnswer: -4391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)*k)\/k)**(-17)*k**(1\/3)\/(k**11*k*k*k) assuming k is positive.\nAnswer: k**(367\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 8*i + 25 = k, -40*k + 1246 = 3*i for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 972.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, d: 1, z: 1, g: 1, r: 5, q: 5}. Give prob of picking 1 d, 1 v, and 1 g.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 5*x - 15. Suppose x*g = -g. Suppose -3*w + 18 - 3 = 0. Solve -3*m + 15 = -3*c, -3*c - 5*m + w - 4 = g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a*f*p*u - 5*a*f*u + 3*a*f + 3*a*p**2*u + 3*a*p*u + 5*a*p + 3*a + 105*f*p**2*u - 69*p**2*u - 2*p wrt p.\nAnswer: 6*a*u + 210*f*u - 138*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -209 divided by -1\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 403, 0, -9\/8, -0.5, 12 in descending order.\nAnswer: 403, 12, 0, -0.5, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - -0.29. Let n = i - 0.1. Is n at least as big as 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 - 2*d - 3. Let b(l) = -15*l**2 - 5*l - 8. Let w(j) = -6*b(j) + 17*s(j). Let m be w(2). Differentiate 2*f**2 + 5 - 5 + 0*f**2 + m wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -q + 18, -6 = -5*o - 2*q + 5*q. Solve 3*t + 0*u - 15 = o*u, -5*u = t + 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + s + 11 = 5, -5*z - 2*s = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -29*f - 7. Let p(t) = 32*t + 6. Calculate -3*g(a) - 2*p(a).\nAnswer: 23*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3548\/7 + 508. Find the common denominator of -2\/7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 3. Let d be o(0). Let u = d - -90. Calculate the remainder when u is divided by 12\/((-16)\/12 - 3075\/(-1800)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**5 - 86*k**4 - 364*k**3 - 556*k**2 - 374*k - 94 = 0.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166722.510148 - -166723. Let j = 0.49 - t. What is j rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u + 10 + 4 - 14. Let v(b) = -10*b. Let i(m) = -2*m. Let f(y) = 22*i(y) - 4*v(y). What is d(f(z))?\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -999, -1729, -2453, -3171?\nAnswer: -3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18479 - 0.03769621.\nAnswer: 18478.96230379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - 68?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 1. Let k(v) = -23*v + 1. Let r(s) = -k(s) + 2*x(s). Is r(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g**4 - 4*g**3 - 4*g - 18. Let f(z) = -10*z**4 + 5*z**3 + 5*z + 19. Let b(m) = 4*f(m) + 5*q(m). Differentiate b(u) wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 13 - 12. Let a(g) = -g**2 - g + 1. Let k(n) = -7*n**2 - 6*n + 7. What is q*a(j) - k(j)?\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-27) - (-2)\/9. Suppose p = -0*x + 3*x - 78. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758270.14 rounded to the nearest 1000?\nAnswer: -1758000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 6. Suppose 4*a + t - 136 = -28, -4*t = -2*a + 54. Suppose -80 = -3*n + i*f + 11, n - a = f. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55765*p**2 - 209553*p.\nAnswer: 111530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 48 = 4*l. Is 352\/10 + (-6)\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 564422 + 160?\nAnswer: 564612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6447*o - 7640*o + 3421*o to n*o + s and give n.\nAnswer: -10666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 0*y + 39 = -6203*h + 6195*h, -3*h + 5*y = 34 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3429 + 3423.854. Let k = y + 0.146. What is the biggest value in k, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32596772 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37654470 by -6870.\nAnswer: 5481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, 31.\nAnswer: -5, -1, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.31577614 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 - -106. Suppose -i*p - 65 = -16*p. What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(5\/(-20)*6)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b64df (base 16) to base 8.\nAnswer: -2662337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -19. Let j be (3526\/(-129) + 30)\/((1 + 0)\/3). Calculate the greatest common divisor of j and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043 (base 5) in base 10?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54589725 divided by -242621?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112\/3 - -38. Let k = 11 + -14. Which is the nearest to i? (a) -1 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 3*o + 9. Let i(x) = -3*x**3 - 8*x - 28. Determine -3*i(z) - 8*w(z).\nAnswer: z**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4 less than -473208?\nAnswer: -473220.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*l - 107 = -146, 0 = 3*x + 5*l - 100 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 673*h**3 - 10961*h**2 + 43407*h.\nAnswer: h*(h - 9)*(h - 7)*(h + 689)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 34.1. Let g = -4.1 - v. Let j = 0.08 + -0.38. What is the third smallest value in j, -4, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11119985.\nAnswer: 5, 479, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -141\/5260 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 47*t**2. Let g(o) = -2*o + 4*o**2 + o + o + 7*o**2. Determine g(z(s)).\nAnswer: 24299*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -30753.062 to the nearest ten.\nAnswer: -30750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-645)\/(-86)*1\/(-6)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1582, 18 in ascending order.\nAnswer: -1582, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1356*r**3 + 14*r**2 + 95*r + 67. Is m(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 752335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7414, -15395, -23372, -31345, -39314, -47279, -55240?\n\"Answer: 2*n**2 - 7987*n + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 67*36\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*l - 96*l - 55*l - 78*l)*(-1 - 1 + 0)*(-19 - 19 + 20) to the form b + i*l and give i.\nAnswer: -8640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 times 3.6?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-30) - (-1)\/(-3). What is the tens digit of (-5 + n)\/(4\/(-22))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372182, 744326, 1116470, 1488614?\nAnswer: 1860758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/4*(2 + 2). Let p = z - 27. Let v be (-2)\/3*(-3)\/(-42). Is p <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/40*70\/(-7). Sort -3, 16, g, -5 in increasing order.\nAnswer: -5, -3, g, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17214 divided by -5468?\nAnswer: 8607\/2734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19075 - -0.00925. Let r be 2*(-32 - (1 + -2)). Which is the second smallest value? (a) f (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953115.\nAnswer: 3, 5, 63541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**5\/g)\/(g*g*g\/(g*g\/(g\/g**1))))\/((g\/(g**(-1\/17)\/g))\/g*((g\/((g*g**(-5))\/g)*g)\/g)\/g))**(-2\/3) assuming g is positive.\nAnswer: g**(104\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 - o**4\/2 + 3*o**3\/2 + 3*o**2\/2 + 2*o. Let z(q) be the first derivative of a(q). Factor z(r).\nAnswer: 3*(r - 3)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 56 + 10 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t. Let m(l) be the third derivative of -l**5\/30 + 9*l**2. Determine k(m(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -4514?\nAnswer: 4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + n**2 - 2 - 12 + n as k*n + r*n**2 + v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*t. Suppose -5*p + 3*o + 77 = t, -5*o - 10 = p - 3. Let f = p - 8. Solve f*d + 2*u - 29 = 0, 5*u - 19 = -3*d + 3*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 7. Suppose 2*g - 5*l = -11, l + 0 + 14 = -5*g. Let w be p(g). Suppose w*n - 90 = n. Calculate the highest common factor of 36 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*y**3 - 1899*y**3 + 512*y**3 + 536*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8100000 rounded to the nearest 100000?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31832, 126759, 284956, 506411, 791112?\nAnswer: 1139047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16 and 13\/57141?\nAnswer: 57141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -51*u**3 + 22*u**2 + 13*u + 575. Let d(a) = -26*a**3 + 12*a**2 + 7*a + 288. Let x(k) = 11*d(k) - 6*q(k). What is the derivative of x(h) wrt h?\nAnswer: 60*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 51. Give i(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 8*p + 23. Let j be o(6). Calculate the greatest common divisor of j and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54663290?\nAnswer: 2, 5, 11, 67, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7 - -7)\/8)\/(1 - 2). Let k be (o - (2 - 5)) + -3. Solve k*n = 6*n + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.79273 and -2.\nAnswer: -3.58546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15414218.\nAnswer: 2, 383, 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 + 115. Suppose 0 = -i - c + 118. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131*j**2 - 1096*j**4 - 55*j**2 - 76*j**2 + (j**3 + 0*j**3 + 2*j**3)*(0*j + 0*j - 2*j).\nAnswer: -1102*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 13. Let y = 13 - n. Let a = -0.1 + 1.1. Is y at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**2 + 764194*k + 145998117409 = 0.\nAnswer: -382097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f - 4. Let a = 41 - 31. What is the remainder when 1*f*(-255)\/a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1343 is divided by 1295.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68, -372, -1002, -1822?\n\"Answer: -95*r**2 - 155*r + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.044 - 0.656. Sort 0, c, 2\/11.\nAnswer: c, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -2. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/396, 33.3, 1, -3\/4 in descending order.\nAnswer: 33.3, 1, -5\/396, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/(-66))\/(6\/(-9)). Let v be ((-16)\/5)\/((-20)\/50). Let h = 8 - v. Which is the second smallest value? (a) -3 (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72900 is divided by 192.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:32 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 16 + (-1467 - -1392).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 107*z**2 - 213*z - 392. What is b(3)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41290 and 38400.\nAnswer: 158553600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/9, -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - s - 4 - 1 = 0, -4*f - 5*s - 25 = 0. Find the second derivative of f - 2 - 10*y**4 - 6*y + 2 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 667 and 1288.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1507 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 19 = -3*r - 21*x, 5*r - 5*x - 5 = 0. Which is the third smallest value? (a) -1\/2 (b) -3 (c) r (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -52*q**3 + 8*q**2 + q - 16. Let p be y(3). Let x = -573 - p. What is x rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3713 - -0.2713. What is the closest to -0.1 in -0.9, 6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -19, -1\/2, -10.92, -2?\nAnswer: -10.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 39 - 7 - (140 + -124)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 19 (c) 21\/11 (d) -0.01 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 12. Let q(i) = -i - 5. Let j(p) = -5*f(p) - 12*q(p). Let u(t) = t - 4. Let b(x) = -32*x + 32. Let n(h) = b(h) + 8*u(h). Determine j(n(g)).\nAnswer: 72*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/5, -2\/9, 38, -1.3.\nAnswer: -1.3, -2\/9, -0.1, 2\/5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 517183 at most 517182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4661, -4663, -4665, -4667, -4669?\nAnswer: -4671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 15) + 9 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/26 - -41\/78. What is the second smallest value in 4\/3, 0, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -185390, -370732, -556076, -741422, -926770, -1112120, -1297472?\n\"Answer: -n**2 - 185339*n - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 + l**2 + l**2)*(5 + 2*l - 5) - 4*l**3 + 7*l**3 + 2*l**3 + (-6*l + 2*l + 3*l)*(-1 + 1 - 5*l**2) as j + h*l**3 + t*l**2 + x*l and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u - 5 = 0. Let w be ((-140)\/98)\/(u\/(-7)). Suppose -13 - 8*x**3 + w*x + 22*x - 4 + 1 + 4*x**4 - 12*x**2 = 0. Calculate x.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*b + 3, -3*z + z + 3*b = 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -541*k**5\/15 - 3373*k**3\/6 + 6*k**2 - 10. What is the derivative of h(r) wrt r?\nAnswer: -4328*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l - 4. Let j(q) = -q**3 + 3*q + 3. Let u be j(2). Let y be k(u). Which is the closest to 1\/5? (a) y (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z = 3*t + 1154, -4*t + 2358 = 2*z. List the prime factors of z.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25128.6 rounded to the nearest one hundred?\nAnswer: 25100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -671 - -61557?\nAnswer: 60886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**3 + 5*t**2 - 389 wrt t?\nAnswer: -6*t**2 + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131318549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 8) in base 13?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 1. Calculate the remainder when 69 is divided by q*(-1*36)\/4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253063 is divided by 721.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -10, -2, -5, 3, 22 in increasing order.\nAnswer: -17, -10, -5, -2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -22, -3 in decreasing order.\nAnswer: 5, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24811285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.65 + 42.25. Sort -4, 1, n, -43 in ascending order.\nAnswer: -43, -4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(2*(-15)\/10 + 9). What is the third derivative of -4*p**5 + 2322*p**4 + 6 - 14*p**2 - 2322*p**4 - 2*p**x - 4 wrt p?\nAnswer: -240*p**3 - 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 431 and -9.\nAnswer: -3879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2 + (-17 + 4 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or -125?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 33 = o, -2*o + 63*x - 159 = 80*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**5\/2 + 68230*l**4 + 614530*l**3 - 7027195*l**2 - 153559215*l\/2 - 121625955 = 0.\nAnswer: -9, -2, 11, 27301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -20*y + 11. Let z(s) be the second derivative of -7*s**3\/6 + 2*s**2 - 7*s. Let r be 0 + (-17)\/(-2 - -1). Determine r*z(w) - 6*o(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 48 = -3*s + 50, 3 = -3*g + s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 + -73. Solve -u + d - 35 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 5. Let n(w) = -1047 - 1038 - 1042 + 3124 + 3*w. What is -4*l(j) + 9*n(j)?\nAnswer: -j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21657461?\nAnswer: 7, 29, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let g(r) = 2*r + 1 - 2*r - r. Give g(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21252 and 24794?\nAnswer: 148764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112190 to the power of 1\/2, to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, 0, -39, -4, 29.\nAnswer: -39, -4, -3, -1, 0, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-1)\/(-4) + (4 + 11)\/(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/3)*o))\/o**3*o**(1\/3)*((o\/o**(-4))\/o*o)\/o*(o**(2\/7))**(-12\/7)\/(o**1*o\/(o\/(o\/((o**2\/o*o)\/o)))*o*o) assuming o is positive.\nAnswer: o**(-73\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120a1a3b + -1?\nAnswer: 120a1a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*f + 81*f = 171793 + 50121. Calculate the highest common factor of 33 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8 + 2)\/((-5)\/10). Let b be (-73*(-3)\/x)\/(7\/(-70)). Suppose 3*s = 3*h + b, s = -3*h + 121 + 37. List the prime factors of s.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16810 = 57*z + 66*z + 287*z for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 2058105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -9. Solve -d + c = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9378878*s**4 - 19949777*s wrt s.\nAnswer: 112546536*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (8 - -5) - 5 - 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 621 + -616. Solve -4*m - 4*l - 11 = -l, m - 10 = -z*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/216 - -4*287\/(-924).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 + 48*v**4 + 81*v**3 - 1146*v**2 - 2328*v - 1152 = 0 for v.\nAnswer: -4, -1, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100898*i**3 - 224*i**2 - 244 wrt i.\nAnswer: -605388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 + 27196*c - 5*c**3 - 54298*c + 27102*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 41540 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/154 and -137\/6160?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875 >= 141\/556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23255 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -144, -2\/15, 2\/119?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 192. What are the prime factors of k?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0213188 to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u + 2*j - 59, 2*u + 3*j = 36. Suppose u = 6*o + 45. Sort -2, -3, -5, o.\nAnswer: -5, o, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30307584 and 17822.\nAnswer: 212153088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 6*n + 1. Let h(x) = x**3 - 22*x**2 - 21*x - 41. Let s be h(23). Calculate a(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, 0.036, -0.6, 0.5.\nAnswer: -3, -0.6, -0.4, 0.036, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.0322\nAnswer: 0.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*j - 4*m, 3*j = 5*j - m - 14. Solve 5*p = -5*k + j*k + 13, 0 = 4*k + 5*p - 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 + (-1 - -1). Let y = 3621.8 + -3622.2. Let h be ((-12)\/9)\/((-1)\/3). What is the third smallest value in h, r, y, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*t + 3162*t**2 + 45*t + 7*t to the form v*t + a + r*t**2 and give r.\nAnswer: 3162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -12, 38.59, 14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 p when three letters picked without replacement from {l: 5, r: 3, p: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 55. What is the third biggest value in 0.1, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13114 is divided by 624.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (143 - 145)*(1\/(-6))\/((-15262)\/(-897) - 17).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(17200\/(-105)) + (-34)\/136 and 125\/258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1882 + 1885. What is the closest to -0.5 in 4, j, 5\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 380*d + 1147. Let z be p(-3). Let k(w) = -6441*w**2 - 47899*w**2 + 4 - 12*w - 9740*w**2. Let r be k(z). What is r rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-1\/5))*h**23*h)**(-39) assuming h is positive.\nAnswer: h**(-4719\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151295.\nAnswer: 5, 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 3*v**4\/4 + 3*v**2 + 11*v + 1498. Let p(t) = t**3 + 2*t + 4. What is -4*c(y) + 11*p(y)?\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*h = 3*h - 158700, 5*g + 5*h - 264500 = 0. What is g rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-39)\/(-195))\/(1\/2). Which is the closest to -0.1? (a) 2 (b) -10\/7 (c) n (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from brxrrrrra?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2326*a + 314005. What is p(-135)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, -44, -125, -228, -353, -500, -669?\n\"Answer: -11*f**2 - 26*f + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 3. Let d be n(3). Suppose d = 5*u + 4 - 19. Suppose -5*w = u*g - 37, 0 = 5*g - g - 2*w - 58. Which is smaller: 12 or g?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690855233?\nAnswer: 690855233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2499, -1, -55 in descending order.\nAnswer: 2499, -1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 8)*(2*w**2 - 22 - 3*w**4 + 22) to i*w**3 + b*w + m*w**2 + a + g*w**4 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -830 and 7374.36.\nAnswer: 6544.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966 and 267444.\nAnswer: 1872108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12787564*n**3 - 9*n**2 + 14534*n - 4.\nAnswer: 76725384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 3715746300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369194211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092032 a multiple of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 2 = -10*b. Let q be 250\/70 + -3 + (-2 - b). What is the biggest value in 1\/5, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 + v**4 + 1557*v**3 + 3139*v**2 + 159 wrt v.\nAnswer: 180*v**2 + 24*v + 9342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10406 + -41397\/4. Let u(s) = -18*s - 2. Let z be u(3). Let l = k + z. What is the smallest value in 0.4, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m - m)*(0*m + 5*m - 3*m) + (2 - 5 + 1)*(-722*m**2 - 406*m**2 + 898*m**2).\nAnswer: 456*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12202000010010 - 0?\nAnswer: 12202000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 87788 divided by -5164?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3219)\/(-185) - 126\/7)\/(6\/52).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = z - 22, -58*h + 59*h + 6*z - 18 + 11 = 32 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -785, -635, -373, 13, 535, 1205, 2035, 3037?\nAnswer: 4223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*c**4 + c**3*d**2 - 50472*c**2*d - c*d**2 + 10*c*d - 9*c + 113*d**2 + 1 wrt c.\nAnswer: 120*c**2 + 6*c*d**2 - 100944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10381262 to 4 dps.\nAnswer: -0.1038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 22219 - 5623 = 0. Let p = 38520 + j. Suppose -7*m + p = 162. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 59\/110?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*l = -43*l - 14. Which is the nearest to l? (a) -1\/19 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -3. Let w = 12\/11 - 73\/77. What is the nearest to o in 2\/15, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -6, 5 in descending order.\nAnswer: 5, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = -2*m, -f + 16 = 3*m - 2. Suppose 5 = m*i - 4*i. What is the third derivative of i + d**2 - 5 + 2*d**3 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -128*q - 4. Suppose 5*y = -4*y - 9. What is the remainder when x(y) is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -5 + -1 - (2 + -16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -16944511\nAnswer: -1\/16944511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -15*i**2. Let d(q) = -24*q + 1. Determine h(d(l)).\nAnswer: -8640*l**2 + 720*l - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -826 + 736 = -3*n. Suppose 6*i - 34 + 22 = 0. Put 3, n, i in descending order.\nAnswer: n, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (-17)\/((-2040)\/1185) - 25.\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 = -84*z - 1431 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/10 - (-700)\/(-280)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 - (0 + -2). Let a = 5 + 5. Suppose -l*o + o = -a. Let j(i) = -3*i**2 - i + 4. Let y(s) = 4*s**2 + s - 6. Determine o*y(k) + 7*j(k).\nAnswer: -k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61558506497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*l + l - 4 + 4 + (-2*l - l + 2*l)*(0 + 3 - 5).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209093 and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -1 - (3 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -34449?\nAnswer: -34451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4\/11, -2, 0.3 in decreasing order.\nAnswer: 7, 0.3, -4\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115190263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l + 6*l + 3*l. Let d(x) be the third derivative of x**4\/8 - 4*x**2 + 6. Determine p(d(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 - 4*l**3 - 4*l**3.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/720 and 29\/8?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 2*h - 0*h - 7 - 52, -5*o + 2*h + 71 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11433583.\nAnswer: 7, 1633369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 333098 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 27 = 3*p. Let s(l) = 2*l + 3. Let y(u) = -10*u - 14. Let i(h) = p*y(h) + 14*s(h). Let g(q) = -3*q - 2. Determine g(i(v)).\nAnswer: 6*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q*z**3 - 235*q - 1938*z**3 - 2*z**2 wrt z.\nAnswer: -12*q - 11628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 409 + 24 = 5*k, 4*t - 2*k - 306 = 0. Let n be (1\/(1\/(-2)))\/((-4)\/t). Suppose 0 = -3*c + n - 8. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6606 by 3.\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((96\/14)\/2)\/(47\/329*2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 23*p**2 - 22*p + 25. Let r be (2\/(-3))\/((-8)\/252). Is m(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:37 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/60 - 5*z**4\/8 + 7*z**3\/2 + 21*z**2. Calculate the remainder when f(16) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -f - 13342. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 7*g + 3728. What is g rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77501, 155007, 232515, 310025?\nAnswer: 387537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)\/(s**(2\/11)\/s)*(s*s*s**(-3\/2))**(1\/5)*((s**(2\/9)\/s)**(4\/5))**42 assuming s is positive.\nAnswer: s**(-8651\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 + (-2176)\/(-80). What is the common denominator of 6097\/2574 + 6\/v and (-6)\/16*(-28)\/(-18)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfqf when four letters picked without replacement from kkkkqffkqkkkkkqkqkkq.\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 3*p - 6*p + 18, 2*p - 32 = -6*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75\/(-1125)*0 - (4*-59 - -1). Calculate the highest common divisor of t and 605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/4 + 2\/8\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5f23 (base 16) to base 9.\nAnswer: -36361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-2)\/10 + 0). Suppose -2*i = -n*i. Suppose 4*l + i*l - 60 = 0. What is the remainder when 57 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - 16 - (-4 + 5 + -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -2 (b) -2\/5 (c) 16 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 900216.7 millilitres?\nAnswer: 900.2167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:34 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2. Let k(u) = u + 101. Determine s(k(h)).\nAnswer: 3*h**2 + 606*h + 30603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v + 33 - 6*v**2 - 33 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 363*y**3\/5 - 4653*y**2\/5 - 171*y - 39\/5 = 0.\nAnswer: -1\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2 - 904*d + 102152 = 0.\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-2)*(-6 + 2 - 10\/(-5)). Solve 4*f + 3*n - 6 + 4 = 0, f - p*n = -34 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 12*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*s + 158, -3*v = 1 + 2. Let x = 450 - 442. Suppose 2*o = -6*i + x*i - 12, -3*i = -4*o - 18. What is the remainder when s is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiq when three letters picked without replacement from {i: 2, q: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*r + 6, 0 = 3*j - 0*r + 4*r + 10. What are the prime factors of (j\/(-4))\/((-3)\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.064 and -1363.92?\nAnswer: 1363.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - s + 4. Let q(y) = -y + 1. Let h(x) = -3*q(x) + w(x). List the prime factors of h(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from zweebzwbbbbcbbbbexxb.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - o = -331, 0 = 2*f - 2*o - 390 + 62. Let z = 123 - 72. Let s = z + -36. Calculate the greatest common factor of s and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/90)\/(((-1)\/2)\/((-85)\/34))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314183 + 20*r - 314183.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*r + 23*r - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/3 - 81524*v**3\/3 + 163058*v**2\/3 + 81524*v\/3 - 54352 = 0.\nAnswer: -40764, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2*(-4)\/(-24)). Suppose -4 = -4*i + 8. Let x = i + u. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 47, 212, 541, 1088, 1907, 3052, 4577?\nAnswer: 6536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 22*f**2 - 250*f + 650.\nAnswer: 2*(f - 5)**2*(f + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + u**2 + 3 + 0*u**2 + 0*u**2 + u**2 + (-1 + 1 + 1)*(u + u**2 - u) - u**2 - 4*u + 4*u - 16 + 16 + 11*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587060 = -54*n + 1030402. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 - 2 + 3*z**3 - 2 + 9 - 4 - 2*z in the form b*z**4 + j*z + t*z**2 + q*z**3 + g and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**4 + 4*c**4 - 12*c**4)*(1 - 3 + 1) + 0*c**4 + c**4 - 2*c**4.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 12*w**2 + 13*w + 20. Suppose -11*l + 3*l - 80 = 0. Let c be i(l). What is the hundreds digit of (3\/2)\/(15\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*p**3*z - 100*p**3 + p**2*z - 4*p*z + 3*p + 10*z wrt p.\nAnswer: 234*p*z - 600*p + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -895 - -950. Calculate the smallest common multiple of i and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z + 6*z + 5*z - 5 + (-6 + 0 + 4)*(2 - 3*z - 2) + 25*z + 88*z + 107*z.\nAnswer: 230*z - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/(2\/11 - 360\/891). Suppose 0 = 3*a - i - 201. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -73)*(1 + 1)\/(-12 - (-109 - -95))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8 - (7 + -7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -60*a + 32*a + 32*a. Let s(u) = 2*u. Calculate i(s(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 18. Let h(t) = t**3 - 6*t**2 - 3*t. Let r(l) = -l**2. Let k(g) = d*r(g) - h(g). Find the second derivative of k(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/9 - 20264*g\/3.\nAnswer: 4*g*(g - 15198)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43454 greater than or equal to 43454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 - (12\/(-3) + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19861453?\nAnswer: 19861453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -20, 7, -5 in descending order.\nAnswer: 9, 7, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336, -671, -1006, -1341?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-792)\/24 - -24 - 454\/(-50).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.086 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 3. Let a(f) = 5*f**2 - f - 2. Let t be a(-1). Let d(h) = h**3 - 8*h**2 + 7*h + 1. Let o be d(7). Put o, t, g in increasing order.\nAnswer: g, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-273)\/351*108\/126. What is the closest to 0.1 in -1, -4.92, t, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a tonne in kilograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 35 = -f. Let x(a) = -3*a**2 + 2*a + 3. Let d(h) = h**2 - h - 1. Give f*d(w) + x(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h + 28 + 60 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 4*d**2 + 7*d - 6. Let m be u(4). Suppose 3*i = v - 0*v + m, 0 = -2*v - 5*i. Let t = -6 - v. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 56529 and -2382997.\nAnswer: -2326468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 8*n - 1. Let k be j(8). Let c be -2*5\/2*k. What is the remainder when c\/15 + 92\/3 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -4 - 12\/4. Sort -3, -10, x in decreasing order.\nAnswer: x, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89516 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4526*k = 4523*k - 9, -k + 3 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.7. Let b = 0.307 + 25.093. Let z = -25 + b. What is the closest to z in 0, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 = z + n, 0 = 5*z - 3*n - 12. Let o be (-117)\/(-663) - (-33)\/102. Suppose 0*f + 1\/2*f**4 - f**2 + o + z*f**3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = -2*b, 0 = 3*d - 6*d - 6. Suppose 0*m = -b*m - p - 103, 4*m + 200 = -4*p. Let c = m + 160. What is the remainder when c is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 11*z**2 + 12*z + 8. Let m be 8 - 10\/15*-6. Let p = 93 + -81. What is the least common multiple of p and d(m)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-279)\/(-62)*7\/(-105)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/5, -10, 4\/3, 1\/6 in descending order.\nAnswer: 4\/3, 1\/6, -3\/5, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16766 and 1162.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2 = 2*x, -2*x + 6 = -5*h - 4*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.259 and 1.5?\nAnswer: 9.3885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2441473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -2\/105*d**7 + 0 + 1\/2*d**3 + 0*d + 0*d**5 + 0*d**6 + 2*d**2 + 0*d**4. Differentiate i(j) wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.078 in 681, 5, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111000 - -11001000?\nAnswer: -10001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 6\/1585, -101, 0?\nAnswer: 6\/1585","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11. Let u(h) = 8*h + 1744. Let p(i) = -7*i - 1495. Let l(g) = -7*p(g) - 6*u(g). Calculate -3*l(s) - x(s).\nAnswer: -3*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19 = 5*r, 2*r = 2*v - r + 5. Which is the biggest value? (a) v (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**4\/4 + 3*m**3 - 3*m**2 - 9*m - 4. Let g be r(8). Put -4, 1, g, 3 in increasing order.\nAnswer: -4, 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-2415.75.\nAnswer: 96.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8904 rounded to the nearest 100?\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.129 and -2?\nAnswer: -4.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11*h - 1. Let q(m) = -3*m + 2. Let k be 3\/2 + (-45)\/6 + 8. Let c(z) = k*q(z) + j(z). Give c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 11*d + 6*d - 16*d. Let r(f) be the third derivative of f**6\/72 + 2*f**3\/3 - 2*f**2. Let h(s) be the first derivative of r(s). Calculate h(n(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (456\/(-72))\/((-1)\/27). What is the highest common divisor of 228 and v?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d. Let a(i) be the first derivative of i**5\/120 + 2*i**3\/3 + 13. Let m(u) be the third derivative of a(u). Determine t(m(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115002 - -362052. What is r rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00069238 to 6 dps.\nAnswer: 0.000692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -20*v - 20. What is the tens digit of l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -228 - -230. Solve 2*z + 7 = 3*q, y*q - 9 = -z - 2*z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 2046 = -2*p - 7*p. Let y(u) = 12*u + 8. Calculate the remainder when y(14) is divided by p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29851793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30137746*c**3 - 15068736*c**3 - 15068893*c**3.\nAnswer: 117*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + w - 4 = 0, -36*w + 8 = -4*z - 34*w. Let d(m) be the third derivative of -m**2 + 1\/16*m**4 - 1\/40*m**5 + 0*m**3 + z + 0*m. Factor d(r).\nAnswer: -3*r*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 405*a**2 - 3*a - 15. Let r be x(-2). What is the units digit of (-12)\/(-18)*1\/(3\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b5a (base 15) to base 8.\nAnswer: -63111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -231*x - 20. Let t be z(17). Let h = 47327\/12 + t. What is the common denominator of 88\/15 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4715.\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -106. Suppose -n - 3*y = 1, 5*n - 3*y - 55 = 30. What is the highest common factor of f and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -4*m**5\/15 - 2*m**4\/9 - m**3\/18 - 2*m. Factor p(k).\nAnswer: -k*(4*k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + 0. Let s be (-8)\/20 + z\/5. Solve 0*d + 4*d = s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187247213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6\/(-4))*123\/(-82).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:11 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(1700)).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 5*r + 1. Let g be o(-7). Let y(k) = -5*k + 5*k - 4*k. What is the units digit of y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393 and 18?\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2477.2173 to the nearest integer.\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 6. Let j be p\/6*36\/8. Let d = j + 35. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31812 - -31807. Sort -6, m, -3, 2, 38.\nAnswer: -6, m, -3, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 18. Solve 3*c = 4*q - q + y, c = -4*q + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 2 (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 969078235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 678062802 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/351 and -22\/39.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16125035 (base 7) to base 4.\nAnswer: 11323012103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-3))\/4*6. Suppose 271*k - 312*k + 205 = 0. What is the nearest to 1 in k, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -4. Suppose -18 - 18 = -x*u. Let a**2 + 0*a**5 - 4*a**u + 3*a**4 - 2*a + 3*a**3 - 2*a**5 + a**5 = 0. What is a?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2294 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 23936900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/110, 0.4, 4?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -593*d**2 + 3*d. Let i(j) = -3954*j**2 + 20*j. Let o(q) = 20*c(q) - 3*i(q). Let p(m) be the second derivative of -7*m**4\/6 - m. Give p(o(x)).\nAnswer: -56*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:43 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 234504 (base 7) to base 12\nAnswer: 20686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*m**3\/11 - 194*m**2\/11 + 134*m\/11 - 4\/11 = 0. Calculate m.\nAnswer: 1\/32, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*-1*2*1. Suppose 0 = 5*p + 4*t - 26, 2*t + 6 + 20 = 4*p. Let b(m) = -p + 3 + m - h. Calculate b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z**2 + 295 + 19*z**2 + 3*z - 3*z - 33*z**2 + 6*z to the form p + u*z**2 + n*z and give p.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 567 = 5*g - 4*r, g + 3*r - 176 = 0. Let y = -3 + 21. Let l = g + y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -5*d**3\/6 - 4*d**2 + 2*d. Suppose -2*k + 25 = 1. What is the remainder when p(-6) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 1296 = -6*v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0*f**2 + 0*f**4 + 17\/3*f**3 - 22*f + 0 + 31\/20*f**5. Find the second derivative of w(s) wrt s.\nAnswer: 186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1546, -0.5, -10?\nAnswer: -1546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(99)*-2)\/(sqrt(900)*3).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6*-133850\nAnswer: 803100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -15. Suppose -r = 5, -r - 107 = -2*n - u*r. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/18)\/(15\/(-18)). Put 2, -25, 4, j in ascending order.\nAnswer: -25, j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3 + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1764 in 3, 2\/13, -3, 4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 2314108\nAnswer: -11570540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-1)*(4 + (-240)\/42)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.9 - -27. Suppose a + 4*v - 8 = 3*a, -5*a - 55 = -3*v. Let o be (-2)\/a*9\/(-15)*-15. Put o, d, -2, 1 in descending order.\nAnswer: o, 1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t. Let h(i) = -12407863*i**2. Give d(h(k)).\nAnswer: 111670767*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45919 is divided by 275?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q**2 - 632*q + 10. Let g(h) = 9*h**2 - 633*h + 8. What is 4*g(r) - 3*i(r)?\nAnswer: 3*r**2 - 636*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/138 - -25\/782. Let w = i + 5\/17. Factor w*b**2 - 2\/3 + 1\/3*b.\nAnswer: (b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42580759?\nAnswer: 13, 71, 46133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0953386086 + 1?\nAnswer: 1.0953386086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620\/242089 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 6*l**2 + l + 6. Let b = -42 + 36. What is d(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8913147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 take away 33591.3?\nAnswer: -33071.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 44*t + 190 = 0. Suppose t - 127 = -3*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25507, 50994, 76479, 101962, 127443?\n\"Answer: -t**2 + 25490*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056074 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 192. Determine x(-7).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240 + -241 - (3 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011010011001001 - -100?\nAnswer: -11011010011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.86 + -3. Sort a, -2\/7, -1.\nAnswer: -1, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, h: 3, m: 1, c: 9}. What is prob of sequence hch?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 36 = -3*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + w = 20, 5*m = 4*m + 4*w - 80 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 11*h - 15. Determine c(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i**2 + 2*i + 4*i**2 + 64 - 77 + i**3 + 72. Let z be v(-15). What is the highest common divisor of 3 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1 + 13*u)*(9 + 8 + 8).\nAnswer: 325*u - 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -270 in increasing order.\nAnswer: -270, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 21310 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12460 - 10196. Which is greater: g or 6790\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 10*g + 11. Let s be c(11). Let k be 5 + (-3)\/(-12)*s. Sort k, 0, -6 in decreasing order.\nAnswer: k, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -369, -847, -1311, -1755, -2173, -2559?\n\"Answer: q**3 + q**2 - 488*q + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13885402\/177 - 78449. Let a = 1843 + -9172\/5. What is the common denominator of a and w?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 104*u**2 - 5*u - 4. Let d be g(-3). Let h = d - 504. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssiwssswwsiwssl. Give prob of picking 1 i and 3 w.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 327 + -327. Let m(o) be the second derivative of 3*o + 0 + r*o**3 + 3\/20*o**5 - 1\/2*o**4 + 0*o**2. Find the third derivative of m(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - v - 2)*(4 - 5 + 0) + 0*v - v + 4*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136.6 - -178. Let s = -284.9 + g. Round s to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -228459.695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - -10000110?\nAnswer: 1110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 72562, 145119, 217676, 290233?\n\"Answer: 72557*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1777425\/17 or -13?\nAnswer: -1777425\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - (sqrt(684) + -3))*-4 + 1 + -2 + sqrt(684) + 2 + sqrt(684) + -4 + sqrt(684) + sqrt(684) + (1*sqrt(684))**2)*1.\nAnswer: 24*sqrt(19) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(-14 - (-26575)\/1900)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2251577802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113100 (base 4) to base 2.\nAnswer: 10111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27, -122, -365, -828, -1583, -2702, -4257?\n\"Answer: -12*r**3 - 2*r**2 - 5*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 10*i**2 - 9*i**2 + 1 + 8*i**2 + i in the form g*i + u*i**2 + o and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207230 and 13110.\nAnswer: 11812110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 938\/12 - -103*127\/(-78486)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t - u = 51660, 10332 = -t + u. Let v = -4135 - t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + sqrt(176) + -1)**2 - ((sqrt(704) + (-3 + sqrt(704) - sqrt(704)) + sqrt(704))*5)**2)*-2.\nAnswer: -28512*sqrt(11) + 845280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqiil. What is prob of sequence ii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32163755 is divided by 4090.\nAnswer: 4085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 101101020022?\nAnswer: -101101020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, -43, -182, -447, -874, -1499, -2358, -3487?\n\"Answer: -6*k**3 - 9*k**2 + 20*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1608)\/(-32)*72\/27*10\/(-20)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 533 + -351. Suppose 179 = 7*u - 2*u + i, 0 = -5*u + 2*i + y. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/200*(-5)\/(675\/12).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -464120 or -464101?\nAnswer: -464101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 446890778 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -142840 and 0.4.\nAnswer: -57136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-133))\/((-3)\/(-7))*(-26)\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/84 and (-14)\/60*-11 + (-22 - (-31 + 8)).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82955 is divided by 16591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -10*j - 12*j - 5734350000. What is j rounded to the nearest one million?\nAnswer: -382000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 111.9. Let s = -1025\/8 - -128. Which is the nearest to m? (a) 5 (b) s (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*f + 2689, -4*f - 452 - 674 = -2*d. Sort 2, d, 14 in decreasing order.\nAnswer: d, 14, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397400 rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 9*f + 8. Let o be l(6). Suppose -3*s + 3*b = -s - 62, s - 4*b - o = 0. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*p**2 - 1 + (p + 2*p - p)*(0*p + 2*p + 0*p) + 10849*p**2 + 4028*p**2 - 2335*p**2 - 6494*p**2 + 6362*p**2 + 11337*p**2.\nAnswer: 23753*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 9*q**2 + 4*q - 4. Let d be h(-8). Let k be 2\/(-3) + d\/6. Let f(m) be the third derivative of -m**4\/12 + 2*m**3\/3 + m**2. Calculate f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*b**3 - 2*b**2 + 16 - b + 0*b + 146 + 17*b**3 + 10*b**3 as h*b**2 + z*b + o + q*b**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - 7.1. Let x = o + 1.6. Which is the closest to -2? (a) -5 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 2. Suppose -3 = 5*g - 3*i, 4*g - i - 4 + 5 = 0. Let h be w(g). Solve -5*b = 12 - h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3936, 3937, 3938, 3939, 3940, 3941?\n\"Answer: z + 3935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 1 + 1)*(-253*k - 521*k - 92*k - 380*k + 236*k) in the form l*k + s and give l.\nAnswer: -9090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.2, -29682?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -174679994 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 2*m - 7 + 6*m + 0*m**2 - 3*m. Let d be f(-7). Suppose 5*u = 8 + d. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 901, 902, 903?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548723?\nAnswer: 7, 43, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**8\/312 - m**7\/273 - 37*m**6\/780 - 31*m**5\/390 - m**4\/26 + 223*m**2. Let b(v) = 0. Calculate v.\nAnswer: -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.7 - 0.35.\nAnswer: -8.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9283032 milligrams in kilograms?\nAnswer: 0.0000009283032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 13*u - 548. What is the smallest common multiple of 276 and w(15)?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98597 is divided by 265?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 104 = -34. Suppose 4*i - 2264 = 4*w, w = -w - i - 1129. What is the remainder when w\/(-10) - 4 - (-2)\/4 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(19) - (1 + sqrt(304))) + sqrt(19))**2 - (0 + sqrt(133)\/sqrt(7))))*-3.\nAnswer: -231 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 8*j**2 + 4*j + 26. Let h be b(5). Let o(f) = -f**3 - 6*f**2 - 5*f + 2. Give o(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*z + 500, 3*z - 3*h + 123 = 489. What is the greatest common factor of z and 1581?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138979249\/158 - 15\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*l = -4, 3*b + 3*l = -4 - 5. Let h be -1 - -2 - (-85)\/(-190)*2. Is h greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -23*z**8\/48 - 13*z**5\/3 - 2*z**2 + 96. What is the third derivative of h(w) wrt w?\nAnswer: -9660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/14))**(3\/7)*(((r\/r**24)\/r)\/r)\/((r\/r**19*r)\/r) assuming r is positive.\nAnswer: r**(-677\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157954040*q - 157954040*q + 8*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*w + 8068, 3*w - w + 16168 = 4*k. Suppose -4*y + 5800 + k = 0. What is the second derivative of y*z**2 - 18*z**4 - 2460*z**2 + 36*z wrt z?\nAnswer: -216*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24067 + -24066.9. Which is the closest to k? (a) 17 (b) 4 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g + 45 = 0. Let p(b) = -20*b + 5. Let w be p(g). Suppose 2*k + m - w = -2*k, -3*k - m = -228. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 1. Let h(i) = 625987 - 4*i**2 - 625990 + 0*i + 0*i. Suppose 5*c + 2 = 3*j, -2*c - 2*c = 4*j + 8. Calculate c*q(r) + h(r).\nAnswer: -3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 77 - 349. Let z = u + -79. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 2:19 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/20*1 + (-938)\/(-8). Suppose -o*y + 36 = -108*y. Solve t = -4*v + 1, -2*t = -6*t - 4*v + y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -753870?\nAnswer: 753872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -26*d - 10. Is 13 a factor of x(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 - 2*z. Let g = -578 - -580. Let t(u) = -u - 4. Let v be t(-5). Let n(y) = -y**2 + y. Determine g*n(x) + v*m(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15 = 3*j, 2*i - 4 = -3*j + 11. Suppose 0 - 2\/9*b**2 + 2\/9*b**3 + i*b = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmpmmmmmnpmpp. Give prob of picking 1 n and 1 m.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576 = -9*r + 13*r. What is the common denominator of 8\/12 + 118\/(-36) and (-1 + (1 - -1))\/(r\/(-134))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-15) - 47\/(-15). Put 2, t, 5 in ascending order.\nAnswer: 2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.62 (b) 16 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77427 or 77839?\nAnswer: 77839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28006 + 28003. Let l = 0.19 + -1.09. Which is the biggest value? (a) f (b) l (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (0 + 20\/4 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-41)\/(-4) + (-2)\/6 and ((-54)\/(-15))\/((-56)\/(-50)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -14 + 3*f**3 - 7*f**3 - 6*f + 3*f**3 - 18*f**2. Is k(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10211 + -7?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24922.68104509 and -18.\nAnswer: -24940.68104509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 248 = -48*x + 37*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 9276 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.768869261 rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 24 = -4*w. Let t(q) = 2*q**2 + 15*q + 7. Let r be t(w). Which is greater: r or -12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 12910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1115 = -a, -4*a = -3*k - a + 657. Suppose 2*t - k = 6*t. Let x = t - -82. Is x a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-2 + 1) - 0. Let k = 39.84 + -39.54. What is the closest to c in 2, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 4 + 2728*b**2 - 493386*b + 493431*b wrt b.\nAnswer: 5456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -321, -336, -353, -372?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*x + 160 = -0*x, i - 40 = -5*x. Suppose 0 = 15*c - 56 - 49. Let f = i - c. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -967 - -965. Let j(l) = -l**2 - 6*l - 2. Let g(n) = 5*n**2 + 30*n + 11. What is d*g(t) - 11*j(t)?\nAnswer: t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 47022?\nAnswer: 94044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.813 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 315*m - 326*m + 24750. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -784 (base 9) in base 10?\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(1 - (-1 + 4)). Let b = -1 - g. Determine m, given that -m**5 - 12*m**b - 4*m**2 + 5*m**5 + 8*m**3 + 4*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 29*y = 4158. Let k(w) = 9*w**3 - w**2 - 2*w - 1. Let o be k(3). Suppose -y*t = -o*t - 100. Calculate the remainder when 88 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2286181367?\nAnswer: 107, 21366181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -167 + -0.14\nAnswer: -167.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}