diff --git "a/data/dm_maths/full_data_1/1246_11255.jsonl" "b/data/dm_maths/full_data_1/1246_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1246_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is -288106 at most -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 15*n - 22. Let f be c(-13). Suppose -7\/2*v**3 - 31*v**f + 0 + 45\/2*v**5 + 10*v**2 + 2*v = 0. What is v?\nAnswer: -2\/5, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2. Let v = 10 - 10. Let q(i) = i - i + i + v. Give q(h(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -3*l + 4*r - 3, -2*l - r = 1. Let s = 613 - 610. Solve -7 = -s*b - l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*t = -m - 10, -5 = -m + 3*t. Suppose -21 = -4*y - m*d, 3*y + 5*d - 17 = -0*d. Does 9 divide (-3)\/(3\/y)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23273 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (11 - (-4 - -15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifiifff. What is prob of picking 4 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**3. Let j(p) = -42*p**3. Determine 4*j(k) + 30*u(k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*4\/30. Let l be (1\/3)\/((-3)\/9). Suppose 18*q - 48*q = 120. Which is the nearest to l? (a) 0 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36229\/699911 - -2\/1763. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6880*j = h - 6875*j - 45, -4*j = 2*h - 42. Solve -19 = -h*c - 4*z, -5*z = -7*c + 7 + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**2 + 2*g**2 + 3*g**2. Let x = 100 + -98. Let j(c) = 4*c - 12*c + x*c. Give j(u(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -0.06323.\nAnswer: -1.01168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 10, y: 4}. What is prob of sequence ya?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 + 2*o**2 - 1. Let x(r) = 3*r**3 + 3*r**2 - 2. Calculate 3*l(n) - 2*x(n).\nAnswer: 6*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 617, 1395, 2487, 3893?\nAnswer: 5613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1. Suppose 4*d = -15 + 43. Let z be d\/(-2)*12\/(-7). Let g(m) = -4*m**3 - 4 + m**3 - 2. Determine z*l(s) + g(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*f**2 - 7*f**2 + 32*f**2)*(0*f - 2*f**2 + 0*f) to w*f + d + a*f**2 + n*f**3 + j*f**4 and give j.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 2:09 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -207543 - 1580\nAnswer: -209123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 14*f = 19, 4*z - 3*f - 377 = -378 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/46*(-7 - -3). What is the second smallest value in 0.1, -1\/8, q, -80?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 46*t**2 - 5*t + 9. Let u(a) = -23*a**2 + 2*a - 4. Let r(m) = -3*n(m) - 7*u(m). List the prime factors of r(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0623081 * 122\nAnswer: -7.6015882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(2*x**3 - x**3 - 3*x**3) + 2*x**3 - 4*x**3 + 4*x**3 + (-5*x**3 - x**3 + 3*x**3)*(-2 - 2 + 5) + 2 - 2 + 2*x**3 - 2*x - x**3 + 2*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 8*p - 11*p + 12, 0 = -2*s + p + 12. Let v(r) = 6*r**3 - r**2 + 5*r + 1. List the prime factors of v(s).\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 2*s**2 + 2*s + 1. Let t(k) = 4*k**3 + 7*k**2 + 7*k + 4. Let f be (-4)\/3 - (92\/12 - 2). Determine f*z(m) + 2*t(m).\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6798213 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 793729717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 (base 7) in base 15?\nAnswer: 1d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in -2\/9, 2\/671, -1.66, -8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.350202954 and -5.\nAnswer: 6.75101477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-10 - -17 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4864462 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116378 is divided by 57.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {e: 5, q: 14}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.005511 and 0.2.\nAnswer: -0.0011022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 797*v*z - 3*v + 79 wrt z.\nAnswer: 797*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15 + 2\/3*k**2 - 8\/15*k.\nAnswer: 2*(k - 1)*(5*k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44285600 divided by -22142800?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 17 = 5*v - 3*v, 5*h - 29 = -4*v. Suppose 3*x + 2*b = 82 + 26, -h*x - 4*b = -182. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l - 5. Let j be u(-4). Suppose -s + j - 3 = 0. Let x = s - 16. Sort 6, 1, x in increasing order.\nAnswer: x, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.054 and 95.\nAnswer: 95.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1784 = 1856. Suppose 17*h = 10*h + i. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 19*u**2 + 118*u + 679. Determine v(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*h - b - 15 - 11, -4*h - 302745*b = -302742*b - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 4)*(-5*c - 2*c + 5*c) + 13675 - 6802 + c - 6698 to p*c + t and give t.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {j: 1, e: 2, r: 7, i: 1, m: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 1296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 3*y**3 - y**4 + 14 - 4*y - 16.\nAnswer: -y*(y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(187)\/(sqrt(22)\/sqrt(2)) + sqrt(17)) - (sqrt(17) - (sqrt(119)*-2)\/sqrt(7)))*1 + 1.\nAnswer: -4*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -172, -311, -450?\n\"Answer: -139*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**7\/4200 - g**6\/900 - g**3\/6 - 7*g. Let k(a) be the second derivative of b(a). Solve k(y) = 0 for y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4929 (b) -0.1 (c) 2\/5 (d) -1\/3 (e) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 235658495 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*t = -w + 3, -14358*w - 36 = -14370*w + 2*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075615772 minus 8.8?\nAnswer: -1075615780.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n + 41. Calculate d(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1194 and -21\/3722494?\nAnswer: 11167482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 21338680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 4\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 + 1100110111000110110?\nAnswer: 1100110111000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13024 is divided by 195?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 23. Let y be (63 - -10) + (3 - u). Is -1 + (-4 - y*-1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*(2 + (-70)\/21). Solve 4*o = -0*o + b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -5*g - 5*l, -2*g + 17 + 79 = -2*l. Let b(m) = -5493*m - 16250. Calculate the remainder when b(-3) is divided by g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/20*5*4. Solve -32 = q*v + 2*n - 10, 2*n = 3*v + 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -4) + (-12)\/4. Let v be (-3*(-6)\/54)\/(s\/30). What is the derivative of 9 - 3 + 197*j - 197*j - v*j**3 wrt j?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. Solve 19 = 5*b - m + t, b - 14 = -2*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35821, -35839, -35857, -35875, -35893?\nAnswer: -35911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 7*o - 3. Give a(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/2*s**4 - 48*s**3 + 93\/2*s**2 + 0*s.\nAnswer: 3*s**2*(s - 31)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**6\/360 - 4*m**3\/3 + 5. Let r(w) be the third derivative of a(w). Let c(q) = 5*q**2. Give r(c(p)).\nAnswer: 25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6595, 13191, 19787, 26383, 32979?\n\"Answer: 6596*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -839, -987, -1401, -2213, -3555?\nAnswer: -5559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, i: 4, u: 1}. What is prob of sequence iii?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.7 - 217.2. Let c = -122 - h. What is c rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 102*g - 103.\nAnswer: (g - 103)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 2*f + 2. Let x be y(3). Let r = x - 2. Solve 4*s + 5*a + 11 = 0, 0 = -r*s + 4*a + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 9. Let d be f(-10). Suppose j - 11 = -0. Let a = d + j. Solve a = 5*t - 21 + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -66 + 19 - 6*s**3 + 2*s + 8*s + 23 + 24. Let p(w) = w**2 + 5*w - 10. Let a be p(-7). Let m(g) = -2*g**3 + 3*g. What is a*v(q) - 14*m(q)?\nAnswer: 4*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - a4?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -49, -104, -185, -298, -449, -644, -889?\n\"Answer: -s**3 - 4*s**2 - 16*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(4)\/sqrt(2) + -1)*4)**2.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1059 + 3*x**3 + 4*x**3 - 6*x**3 - 392 - 4*x**2 in the form j*x**3 + h + k*x**2 + t*x and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 1874*u + 44404. Give r(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -55. Let t be (-2)\/31 + (-18360)\/837. Let c = y - t. List the prime factors of c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/15 - a**4\/4 - a**3\/6 + 71*a**2. Let o(f) = -15*f**2 + 26*f + 5. Let p(b) = 9*k(b) + 2*o(b). Calculate p(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 + 0.35. What is the closest to u in -1\/2, 1\/3, -47?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvjvzzztjjzjjgvjz. Give prob of picking 2 g, 1 t, and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 0. What are the prime factors of (-5 - t)*-21*1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14174*m - 13997*m + 19647 for m.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 12288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 22?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**3 + 96044*k**2 - 48574028*k + 6207813412 = 0.\nAnswer: 257, 23497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11126215 (base 7) to base 10\nAnswer: -964969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Suppose 2*w = w + f. Let o(z) = 8*z - 3. Calculate the remainder when o(w) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1322000 (base 4) to base 12\nAnswer: -4628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 + -68. Suppose -12 - i = -6*q. Calculate the remainder when 71 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.25 - 1.35. Let h(u) = -3*u - 8. Let y be h(-3). Let c be y\/6*(3 - 5). What is the closest to j in -5, c, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from qqqqzqqzqqqqqqqqqqq.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 10:16 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 6, f: 4, z: 1, h: 1}. Give prob of sequence mf.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 12 = 4*q, 0 = 3*q + 2*z + 4 - 0. Let t(m) = 10*m - 9*m - q*m + 35*m**2. Let k(s) = -s. Determine t(k(a)).\nAnswer: 35*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -110, 0.022, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/199484853?\nAnswer: -5\/199484853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -375062136 divided by -93765534\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(15)\/sqrt(3))*-6)**2 + sqrt(5) + 2 + sqrt(45).\nAnswer: 4*sqrt(5) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601 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: In base 11, what is -16308 - 442?\nAnswer: -1674a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 4*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8150352, -8150357, -8150362, -8150367, -8150372?\n\"Answer: -5*k - 8150347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*u + 305073 - 314264 = 0 for u.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2760 and 24?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13*b**2 + b - 17. Let h(s) = -6*s**2 + s - 8. Give -9*h(c) + 4*w(c).\nAnswer: 2*c**2 - 5*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2376 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:17 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23448)\/16*(0 + (-236)\/6). Calculate the remainder when o\/413 + (-6)\/(-14) is divided by 39.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2202, -8761, -19704, -35043, -54790, -78957, -107556?\n\"Answer: -2*q**3 - 2180*q**2 - 5*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145935 divided by 2145935?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 10*a + 6. Let z be w(10). Suppose z*u - 3*u = 57. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -4, 0, -11.\nAnswer: -11, -4, 0, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 73059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.1. Let m = w - 0.4. Let x = 173\/3 + -1393\/24. Sort m, x, 1\/4 in ascending order.\nAnswer: x, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 8 = 0, a - 3 = -4*l - 19 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (448\/(-192))\/(-2 + 1577\/789). Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 6.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t + 257 + 185 - 442.\nAnswer: -69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/((-38037)\/(-2045))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -909\/112 or 0.58?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 70367\nAnswer: 144\/70367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*a - 3 = 2*a, -5*u - 9 = -3*a. Suppose 83 = -b + 5*b - l, -b + 2*l + 12 = u. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -4, 1, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261 - 57. Suppose -l = -5*l - k. Let x = l + 127. Which is smaller: x or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + z + 1. Let r(c) = 7*c**2 + 2*c + 4. Calculate 4*q(b) - r(b).\nAnswer: -3*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/130)\/(2\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(2\/(-6))\/(5\/(-87))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29272163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**2\/2 + 13. Let u be m(-3). Solve 0 = l + 4*q + 16, 0 = -2*l + u*q + 2*q + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*j - 27 = 0, 34 = -3*v - j + 47 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 - 3*c + 7. Suppose -8*a + 15 = -25. Let j(g) = -4*g**3 - 4*g + 8. Calculate a*m(z) - 4*j(z).\nAnswer: z**3 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 0.7959?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 33\/132*1*24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnp when four letters picked without replacement from peeepnpenenee.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 4 (c) -304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(-7*15\/(-105)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -266. Let v = k + 106. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -2*j - 38, j - 73*k = -70*k + 1 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 28*u + 2. Let c(w) = -4*w - 2. Let f(l) = -21*l - 11. Let s(o) = 11*c(o) - 2*f(o). Determine s(p(r)).\nAnswer: -56*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3732805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3610*w + 3528*w - 2132 = 0 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*x - 8, 9*b - 5*x - 20 = 14*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -7\/4 (c) -0.3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 20 = y - 19, -5*y = j - 3 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 7*q**2 - 65*q + 186. Calculate the lowest common multiple of o(3) and (-3 - (-9)\/2)*20.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19421291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2101*t = -1887*t + 428. Let h(g) = -5*g**2 + 71*g + 21. Let w(v) = -v**2 + 14*v + 4. Calculate t*h(m) + 11*w(m).\nAnswer: -m**2 + 12*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 90. Suppose 10*v - j = 100. Suppose -v = -c - 2*h, -3*c + 31 = -2*h + 3. Calculate the remainder when 26 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let w = -68 + 67. Let x(n) = 28*n**3 - n - 2. Let o(a) = w*v(a) + x(a). Find the first derivative of o(u) wrt u.\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f + 163*f + 63*f - 69*f in the form b + w*f and give w.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a hour in seconds?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s**5 - 64*s - 10*s**2 + 52*s**4 - 47*s**2 + 21*s**2 - 16 + 52*s**3 = 0. Calculate s.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j - 41*j - 33 = 0. Suppose -w - j*z + 50 = 0, 2*w + 4*z - 184 = -2*w. What is the smallest common multiple of w and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8520139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867352706?\nAnswer: 2, 11, 29, 1359487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -8. Let y = 9 - -1. Let o = d + y. Solve 10 = -o*z - 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 47. Let v = l + -40.5. Let d = -2.5 - -3. Which is the nearest to 1\/2? (a) d (b) v (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12732660 + 3403015. Let h = j - 6655672. Suppose -h = 4*w - x, -5*w = -x + 12748225 - 898222. What is w rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1932664*l**3 - 20*l**2 + 2*l + 925?\nAnswer: 11595984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*q, 337 = 5*p + 3*q - 45. Let o be p\/10 + 3\/5. Put -3, -2, o in increasing order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g*l**3*u**2 - 18*g*l**2 + 6319*g*u**3 - 9*l**3 - l**2*u + 2 wrt u?\nAnswer: -6*g*l**3 + 37914*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 365, 3, -2 in ascending order.\nAnswer: -2, 3, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**6\/5 - 2*y**2 - 2*y + 7. Let t(a) be the first derivative of j(a). Differentiate t(c) with respect to c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -19 + (-76 - -82).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28085289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83, 190, 331, 524, 787?\n\"Answer: 3*x**3 - x**2 + 89*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 332?\nAnswer: -5\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-3))\/((-266)\/(-798)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 4*g. Let r be 30\/(-9) + 3\/9. Let n be c(r). What is the greatest common factor of 33 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 947 - 944. Suppose -130*i + 129*i = 4*m - 5921, 3*m + d*i = 4434. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70811744?\nAnswer: 2, 107, 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 9*g**3\/2 - 68*g**2 - 263*g. Calculate the remainder when 425 is divided by j(9).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 95*f**2\/2 - 646. Let d(q) = 2*q**2. Calculate d(v(j)).\nAnswer: 18050*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-40))\/((d\/(d**32*d)*d)\/d) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/30 + q**4\/6 + q**2. Suppose 5*z + 15 = -3*f - 2*f, 0 = -4*z - f. Let b(l) = l. What is z*k(n) - 4*b(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 850070?\nAnswer: 5950490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 2*t**3 + 0*t**3)*(17*t - 35*t + t**2 + 16*t + (t + t - 6*t)*(2*t + 0*t + 0*t)).\nAnswer: -7*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-617)\/(-1234)*2\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28187 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 42*y**2 + 2*y + 46. Let s be u(-21). Solve -4*h - 19 - 13 = -4*j, -h + s*j - 23 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*y - 9. Let p = 13 + y. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -2*y - 12*c - 13, 3*y - 3*c - 18 = 0. What is the highest common divisor of 821 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c = -20*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -95104, -3.6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**3\/5 - 3588*s**2\/5 + 93096*s\/5 + 826112\/5 = 0.\nAnswer: -922, -7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4230*3\nAnswer: -12690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33803507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 5*g = -11*p - 116, -2*g + 4 = 0. Suppose -447 = -2*s + p. What are the prime factors of s?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4, -6, -157741, -3, 4 in decreasing order.\nAnswer: 4, 0, -3, -4, -5, -6, -157741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v - 54. Solve -5*x - 4*l = l - 10, 4*x = -v*l + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*g = -6, 2*g = 5*h + g - 15. Suppose -h*n + 12 + 6 = 0. Is n bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 4, f: 1, c: 10}. What is prob of picking 2 c?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 20 - 93 = 2. What is the closest to -2\/149 in m, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 51, 75, 81, 63, 15, -69?\n\"Answer: -s**3 + 43*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*r + 506 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 3*t - 12, -5*t + 6 + 14 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 9*s**2 + 6*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 23*c + 97. Let s be t(-4). Suppose -2*u = -v + 2, -v + 7 = s*u + 5. Solve -f - v = 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161011838 to the power of 1\/2, to the nearest integer?\nAnswer: 12689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405186?\nAnswer: 2, 3, 67531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*h - 906 - 56. Calculate the remainder when 614 is divided by ((-63)\/6)\/(-2 - h\/16).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 - 1022000?\nAnswer: -1021230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-4068.7.\nAnswer: 1220.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6 - 6 + 46*p. Let j = -1064 + 1065. List the prime factors of d(j).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/6)\/(360\/432)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5816906249 and -381?\nAnswer: 5816906630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3403840 at least -30634556\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-30) - (-3514)\/(-30). Let t = b - -120. Suppose -21 = -3*f + t*x, 2*f + 3*x + 18 = 4*f. Calculate the highest common divisor of f and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 7 + 3*b + 7. Let l(s) = s. Calculate l(x(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 17*n = 5*t + 20, -16 = -2*n + 4*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5286, 5287, 5288, 5289, 5290?\n\"Answer: m + 5285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -132328 times 6\nAnswer: -793968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 3*y + y**2 + (6*y - 10*y - 4*y)*(-12*y - 18*y + 7*y).\nAnswer: 185*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142 divided by -13?\nAnswer: 1142\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -113213203220 (base 4) in base 8?\nAnswer: -27474350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**5\/20 + u**4\/12 + u**3\/6 + u. Let k = -83 + 83. What is r(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 5*n. Suppose n*j - 2 = 2. Suppose 2*o = 4 + 2. Is o < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7))**(-40))**(3\/13)\/(p**(-5\/2)*p**(-2\/13)*((p*(((p**(-1\/6)\/p)\/p)\/p)\/p*p)\/p*p)\/((p*(p\/p**(-4\/3))\/p*p)\/p)) assuming p is positive.\nAnswer: p**(891\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y**3 - 15*y**3 - 25*y**3 + 63*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkp when three letters picked without replacement from plklpklplklllp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.149, 4, -0.2, 0.09, -0.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*d + 145*d + b = -5, -d + 5 = -b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 968*s**2 + 39752*s + 29. Give t(-41).\nAnswer: -2595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 7:41 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(69\/(-33) + 2). Let n = -7 + c. Suppose -14 = -2*v - 2*o, -5*v + 0*v - 2*o + 29 = 0. What is the biggest value in v, n, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 2. Let h be (-2)\/4 + 3\/2. Suppose 2*d - 3 = h. Calculate s(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 47486*q**2 - 22*q - 5. What is the ten thousands digit of j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 10:11 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10*1)\/(1\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18996127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5397 and 966.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 4092318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (4 - 9)\/5. Let m(u) = 0*u + u + 2*u + y*u. Let q(s) = 4*s. What is m(q(k))?\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121060 is divided by 350.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -30*j**3 - 7*j**2 - 63*j + 45. What is the ten thousands digit of y(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - -3) - (0 + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202021212200 (base 3) to base 9.\nAnswer: -667780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c**2 + 40*c**2 - 30*c**3 + 32*c**3 - 253*c**2.\nAnswer: 2*c**3 - 180*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52125*l**5 + 52442*l wrt l?\nAnswer: 1042500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*b = 1378 - 3184 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18530, -18528, -18526, -18524, -18522?\nAnswer: -18520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1576*-15\nAnswer: -23640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3) - 0)*6. Suppose 1 - w = -d. Suppose -3*i - i = -20. Sort d, i, 4 in decreasing order.\nAnswer: i, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 + -36. Suppose 2*n - 39 + p = 0. Solve 0 = n*s + 8, -2*s - 2*s = 4*x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -28*s. Let d(k) = 670*k**2 - 240*k**2 - 248*k**2. Calculate d(l(w)).\nAnswer: 142688*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1689 + 0.04.\nAnswer: 1689.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -77213134?\nAnswer: 77213137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54.2613 - -45.262. Let y = x - -9. Round y to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-540)\/990*5\/((-15)\/132)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8011 - (60\/15 + -1).\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6577203 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 12*c**2 + 44*c - 21. What is f(7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z - 5*w + 38447, 4*w - 76936 = -4*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 62\/5 - 20\/50. Suppose 9*y - j = 8*y. Suppose -h - 2*h = -y. Solve 2 = -3*u - h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**3\/2 - 83*a**2\/2 + 59*a. Let n be v(28). Is -2\/243 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + (sqrt(96)\/sqrt(3) - sqrt(32))\/sqrt(8) - 2*sqrt(196))\/((sqrt(2) + (sqrt(2) + -2*sqrt(2))*-6 + sqrt(2))*-2).\nAnswer: 13*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 8*y**2 + 8*y + 5. Let a be m(-7). Let q = a - 24. Let k = 29 + q. Solve -2*o + k = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112683056?\nAnswer: 2, 37, 131, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - i = 3*i + 22, -5*n = 4*i - 83. Suppose 6 = 3*c + n. Is 3\/(3\/c + (-78)\/(-69)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.71176 and -6?\nAnswer: 2.28824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 63. Solve 0 = 2*g + 4*r - 2 - 8, 4*g = -p*r + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/70)\/(20\/25))\/(((-5695)\/60)\/(-67))\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78813, -157629, -236449, -315273?\n\"Answer: -2*v**2 - 78810*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 25 + 17 = 0. Let m be -9*(1 + 14\/o). Solve 3*q - w + 2 = -0*q, 0 = 3*w + m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1797, -3545, -5281, -6999, -8693, -10357, -11985?\nAnswer: -13571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 63*k**3 - 153*k**3 - 230*k**2 - 140*k**3 + 28*k**3 + 258*k**2 as i*k**2 + w*k + m*k**3 + z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 4:41 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4))**(-44)\/((r*r\/((r**(2\/5)*r*r)\/r))\/r)**(2\/9) assuming r is positive.\nAnswer: r**(7924\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 818\/(-58) + -2378 + 2392.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-13)\/(-44))\/(7\/((-1176)\/90)) and 71\/165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/2205*7 - 196\/60.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/4, -12, -196, 233?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/50 and -161\/82260.\nAnswer: 411300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let x(v) = -13*v**3 + 4*v + 2. Determine -2*a(k) - x(k).\nAnswer: 13*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*g - 84*g - 888 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -25.249.\nAnswer: -17.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -440 - -177. Let o = -39 - y. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let r(k) = 162*k + 2. What is -r(c) + 6*v(c)?\nAnswer: -156*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 273*r**2 + 715*r - 9. Let g(b) = 544*b**2 + 1431*b - 15. Let s(v) = -3*g(v) + 5*n(v). What is the second derivative of s(t) wrt t?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-11)*z*z)\/((z\/(z*z\/z**(3\/2)*z))\/z) assuming z is positive.\nAnswer: z**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 + 112*r - 780 = 0. Calculate r.\nAnswer: 13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 - m**2)*(-522852*m - 1 + 522852*m - m**3).\nAnswer: m**5 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -21. Suppose -28 = 2*x - 98. Calculate the greatest common divisor of x and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k\/k**4)\/k*k*k\/(k*k**(-1\/4))*k*(k*k\/(((k**(2\/17)\/k)\/k)\/k))\/k*k\/((k\/(k**(-2)*k))\/k)*k assuming k is positive.\nAnswer: k**(281\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (0 - 1) + -12. Let k = j - 23. Let r = k + 50. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/5)\/a*a**(-5\/6)\/a)\/(a**1)**(-3\/5) assuming a is positive.\nAnswer: a**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667 = -330*b + 194*b + 209*b - 1158 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 175, 403, 775, 1321?\nAnswer: 2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let i(f) = 2*f**3 + 10*f**2 - 5*f - 23. Let g be i(-5). Let r(l) = 717*l**2 + 685*l**2 - 1369*l**g. Calculate r(y(t)).\nAnswer: 132*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 9 - 11)*(-1 + 1 - 1)*(8 + 24 - 13)*(-u - 1 + 1).\nAnswer: 38*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -114\/5 (b) -3 (c) 1\/15 (d) 2\/15 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11132 + -40?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 21 + 1 - 4 + 2*k. Let y be g(-6). Is 4 a factor of (-204)\/(-60) + y\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238790038811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153873 and 984?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2085, -2085, -2077, -2055, -2013, -1945, -1845, -1707?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 325 = k, -2*c + k = -c + 65. Let d = c + 70. Find the second derivative of 12*u**5 - 4*u**d + 7*u + 3*u wrt u.\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26468.3 - 29753. Round h to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-2*s + 2*s + s**4) + 477*s**3 - 12*s**4 - 477*s**3 + (-5 + 5 - 2*s)*(0*s**2 + 0*s**2 + 2*s**3).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -101*w + 2924. List the prime factors of f(-42).\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-686)\/(-490))\/((-2)\/(-210)). Let c = -708 + k. What is c rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b**2 + 114*b + 32. What is the least common multiple of 497 and t(-14)?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -501 + 385. Let z = f - -583. List the prime factors of z.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minus -7?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142642, 142650, 142656, 142660, 142662, 142662?\nAnswer: 142660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 42 = 132 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 5*j**2 + 20*j - 20.\nAnswer: -5*(j - 2)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfgggggggfggffgfgf. Give prob of sequence fgg.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -y + 11, -2*m - 16 = 4*y + m. Let t be -2 - (-2)\/(-4)*65\/(-10). Which is the smallest value? (a) -0.1 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18996263, -18996264, -18996265, -18996266, -18996267?\nAnswer: -18996268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3384 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -431, -1637, -4055, -8105, -14207, -22781?\nAnswer: -34247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 5 + 0)*(178*g - 282*g - 216*g) to the form d + j*g and give j.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.409 and -10?\nAnswer: 4.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 0*j**3 - j**3)*(853 + 858 - j - 1727).\nAnswer: j**4 + 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g - 3. Let k = -388 + 387. Let o(m) = 2*m. Let s(r) = k*o(r) + y(r). Let l(u) = 64*u - 28. Determine -6*l(z) + 56*s(z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-2) + 4)\/2. Let z = 59 + -29. Calculate the greatest common factor of h and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 + 181 = 5*c - 3*a, 0 = 2*c - a - 3. Factor 0 - 28\/5*z + 4\/5*z**c.\nAnswer: 4*z*(z - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-18\/7)*l*l*l**(1\/36)*l assuming l is positive.\nAnswer: l**(367\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 346008.2379 rounded to the nearest integer?\nAnswer: 346008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3173173 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8999*t**3 - t**2 - 2*t + 202747?\nAnswer: -26997*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1754 + 1636 + 3 + 17 + 4?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18381.\nAnswer: 3, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/15)\/((-1)\/(-10)). Let a = -13 + 13. Suppose a = -f + d*f. Let k(m) = -m**3 - m**2 - 3. Give k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.378913 to 1 decimal place.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) 827\/230 (d) -1 (e) 1\/6 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3564631 (base 11) to base 3.\nAnswer: -102200200211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.54, -1, -2\/11, 5, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:24 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -39047.\nAnswer: -2342.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 63221 times 0.2\nAnswer: 12644.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -45. Let g = l - -3. Let c be ((-45)\/2)\/((-3)\/g). What is the greatest common divisor of 45 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*(-5)\/(15\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5413646 + -5413645.95000046. Let t = -0.05 + o. What is t rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2628753 divided by 876251?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsssww. Give prob of picking 3 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -280\/3 < -0.069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**2 - 4*i + 10. Let s be r(4). Solve 4 + 0 = s*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 34. Determine g so that -g**3 + 1\/2*g**4 + 0 + 0*g + 1\/2*g**y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191 + 60. Let y = -140 - o. Sort y, 2, 4.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 855 and 99.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4069023206?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.2 + -3. Let h = -1809 - -1804. Which is the nearest to 6? (a) p (b) -2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 6 = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k + 2*k + (7*k + 5*k - 6*k)*(-3 + 3 - 1) + 3*k - 4*k + 3*k + (1 - 1 - k)*(3 - 3 - 1).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 877*l**2 + 800*l**2 - 3255*l**2 + 1049*l**2.\nAnswer: -529*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 59.6.\nAnswer: -56.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 22?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 5*m. Let n = m - 0. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.95 - 0.05. Let t = 0.900073 - m. What is t rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 + 3*m + 1. Let o(k) = -k**3 + 2*k**2 + k + 5. Let c be o(3). What is the lowest common multiple of 2 and w(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5604 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 12:16 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (31 - (-10 - -2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -63. Let d = z - -83. Round d to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 95, 92, 89, 86, 83?\n\"Answer: -3*m + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 25955405?\nAnswer: 25955404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*r - 1674. Let x = -183 - r. Sort 5, x, 6 in ascending order.\nAnswer: x, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115 + -1?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -340036.62 rounded to the nearest 1000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94272 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**3 - 2*p**2 - 2*p + 3. Let f be 6\/(-6) + (1 - -1). Let h be w(f). Solve -3*a + 0 + h = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31\/2046*1837 - 26. Solve -4*k - c*k**2 + 10\/3 + 1\/2*k**3 = 0 for k.\nAnswer: -2, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 8*p**2 + 7*p**2 - 3*p**3 - 3 as s*p + g*p**3 + a*p**2 + j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 93.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 138900671 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -551450 to the nearest ten thousand.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 20141 + 29051 = 19*s. What are the prime factors of s?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*19 - (169 - 153)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -11100?\nAnswer: -110ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271660 (base 10) to base 3.\nAnswer: 111210122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9516 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/231 and 31\/47362.\nAnswer: 1562946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - (-63)\/36. Suppose b*p + k - 48 = -3*k, p - 5*k + 11 = 0. Solve 20 = 5*a + 5*t, 3*a = 2*t - 6*t + p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, u: 1, s: 4, v: 2, g: 1, f: 1}. Give prob of picking 1 v, 1 s, and 1 d.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2458 or 21493?\nAnswer: 21493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90598437 + 31*v**3 - 90598437.\nAnswer: 31*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5540 a factor of 159107298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 289, 189, 103, 37, -3, -11, 19, 93?\n\"Answer: h**3 + h**2 - 110*h + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let x(g) = 4*g + 4. Let n(r) = 5*q(r) - x(r). Let u be n(4). Which is the biggest value? (a) 4 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*m**3 - 92*m**3 - 66*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**3\/6 - 11*j**2\/2 - j. Let s be 26\/4 - 1\/2. Let f(z) = 2*z + 23. Let k(g) = s*f(g) + 13*m(g). Calculate k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 18 + 2 - 2*m - 12*m. Let n be b(-13). What is the units digit of 24 + (n - -5) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:17 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/318)\/(2\/15)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 6 - (-3 + 5)) + -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 1, -13.\nAnswer: -13, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3740936*p**2 - 7481874*p**2 + 3740932*p**2. Let q(m) be the second derivative of 11*m**4\/12 + m. Calculate q(y(h)).\nAnswer: 396*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104 - 97.25978754?\nAnswer: -97.15578754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.89 - -70.89. Let n = -37 + s. Let z = n + -35. Put -2\/9, 0, z, -2\/3 in descending order.\nAnswer: 0, -2\/9, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q*q**(-25))*q**(2\/7)\/q*q*q*(q**(-1\/37)*q)\/q**27 assuming q is positive.\nAnswer: q**(326\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72770 is divided by 208?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1052028 and 113\/238?\nAnswer: 7364196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 35 - 137. Let x = 148 - g. Suppose -12 = 3*f, 3*z = -f - f + x. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251124161 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -348, 53, 5498 in descending order.\nAnswer: 5498, 53, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30084827.\nAnswer: 30084827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(6*u**3 - 14*u**3 - 19*u**3).\nAnswer: -27*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**2 - 10*f - 39. Calculate the remainder when 61 is divided by k(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 k, and 1 i when three letters picked without replacement from iiiugkiuiuiiwk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1))\/(o**3*o))\/((o**3\/o)\/o**(-2)))**(-40) assuming o is positive.\nAnswer: o**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*a**2\/13 + 34236*a\/13 + 6224\/13 = 0. What is a?\nAnswer: -1556, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5958?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.98626871*0.3\nAnswer: 1.195880613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = -10. Suppose 4*s = d*s + 3*c + 22, 3 = -s - 2*c. Suppose 5*n - 25 + 6 = -r, n - r - s = 0. Solve 2*m = 2*w + 10, -m = 3*w + n*m - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1504)\/(-40)*(12\/8 - -6) and 90?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -20*c + 19*c**2 + 20*c + (2*c + c**2 - 2*c)*(2 + 1 - 5) - 3 - 2*c**2 + 3 + 9*c - 3*c**2 - 9*c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.897557 days?\nAnswer: 163948924800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - 7*z - 2*z - 2*z + 299 + 18*z to u*z + j and give j.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 164, 1360, 4560, 10766, 20980, 36204, 57440, 85690?\n\"Answer: 167*t**3 + 27*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1564)\/170 - -9)\/((-2)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -106*c + 4233. Determine x(40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5646 - -21?\nAnswer: 6000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12186781.\nAnswer: 12186781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82142.\nAnswer: 2, 67, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -1. Suppose a*p - 28 = 7. Is 8 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i**5\/3 - 14204*i**4\/3 + 15236*i**3\/3 + 13072*i**2\/3 - 15286*i\/3 + 1132\/3 = 0. Calculate i.\nAnswer: -1, 2\/25, 1, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 11*i = 2*o + 30, 3*o - 6*i - 39 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -3, -52, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 347226 and 6?\nAnswer: 347226","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 3 (c) 5 (d) -2.0333 (e) 2\/23 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 + -33?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-4 + 1) - -1) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713 and 10602.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910*g - 134739 = -919*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 517 + -514. What is the nearest to -2 in p, 12, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - 116. Let i = 192.2343 + -0.1343. Let r = q + i. Round r to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -j, -2*u = 3*j - 239. Let m = u - 106. Calculate the remainder when 100\/2*(-2)\/(-5) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000468166 to 6 dps.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 22*z**2 - 9*z + 22. List the prime factors of c(5).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:10 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x**2 - 84*x - 17. Let j be n(-13). Let d = j - -279. Solve -2*z + d = -2*i - 8, -3*z - i = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 802 + -18?\nAnswer: 7b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3353 = 359*p - 10510 - 24 - 6935 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10252.\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 - 59*x - 80. Let m be a(-13). Solve 27 = 16*u + m*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -24*o**2 + 6*o. Let n(m) = -6*m + 4609369 - 4609369 + 5*m. Give 6*n(a) + w(a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 85309510019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34382 is divided by 289.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/943, 194\/13, -3?\nAnswer: 194\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/17, -2, 184\/7, -1\/2, -1\/6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00596186 rounded to five dps?\nAnswer: 0.00596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 8:50 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(17) + -1 - sqrt(136)\/(sqrt(24)\/sqrt(3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(448)*-3 - sqrt(448) - sqrt(448))*5)\/(((2*sqrt(320))\/sqrt(10))\/(sqrt(40)\/(sqrt(15)\/sqrt(3)))).\nAnswer: -50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g - 88*g + 44*g + 4*q = 20, -4 = -2*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2640 is divided by 780.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 66*y + 105. Suppose -20*h = -12*h - 48. What is the hundreds digit of a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 3*m**2 - 2*m + 1. Let d be k(4). Suppose -2*n = -5*n + d. Let o(p) = p**3 - 2*p**2 - p + 1. Determine o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11862221 and -1.8.\nAnswer: -11862222.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 23.6. Let g = z - 0.4. Let x = -27.5 + 28. Which is the biggest value? (a) -0.5 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 15. Let u be j(-9). Let r be -15 - -15 - (1 + -1). Suppose r*i = -3*i + 6. Solve -1 = -d, -2*d - i*d + u = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 5, -6, 0.24 in descending order.\nAnswer: 5, 0.24, -2\/13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, 27, 95, 209, 375?\n\"Answer: g**3 + 14*g**2 - 21*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11705.\nAnswer: 5, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310 - -314. Solve 4*c + x*m = -28, 2*m = 3*c - 0*c + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131252 (base 9) in base 7?\nAnswer: -5123444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-17)\/(952\/(-16)) + 402\/(-84). Which is the third biggest value? (a) 0 (b) -30 (c) 5 (d) r (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(11 + (-4 - 6)). Let m = -9 + 5. Put m, n, 3, 1 in descending order.\nAnswer: 3, 1, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 1043 + 153*h**2 + 205*h**2 - 359*h**2 - 2*h**3 in the form z + f*h + k*h**3 + g*h**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526779?\nAnswer: 3, 11, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102.816 - -0.184. Let k = 175 - h. Let y = k - 48.1. Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 0*a - a)*(-36*a - 2 - 48*a + 104*a) in the form g*a**2 + u + v*a and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 3*h**2 - 5*h - 6. Let d be p(5). Is d\/6 + 1\/(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g + 2599 = 1975 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43660 rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -587*p + 584*p. Let i = -34 + 32. Sort 4, -25, p, i.\nAnswer: -25, i, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18659 (b) -5 (c) -0.2 (d) 0.09 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {o: 1, u: 2, q: 5, p: 1, h: 1, w: 6}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*o**4 + 1425*o + 250 + 2279\/4*o**3 + 7\/4*o**5 - 4385\/2*o**2 = 0 for o.\nAnswer: -1\/7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 16 + 2*v**2 - 3*v**2 + 0*v**2 + 2*v**2 + 8*v = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k - 2. Let z be b(1). Solve z*p + 4 = -4*p + f, 4*p = 3*f + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 + 7*r**2 + 4*r**2 + (3*r + 3*r - 4*r)*(0*r + 2*r + 0*r) - 3*r**2 + 3*r**2 - 5*r**2 in the form u + i*r**2 + d*r and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810805179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1915685553 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, l: 3, x: 2}. Give prob of picking 2 l and 2 x.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(18)*-1)*-5.\nAnswer: 15*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 5*z + 21, -4*z = -3*r + 54 - 62 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 367670, 367674, 367678, 367682?\n\"Answer: 4*f + 367666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 13*w - 3*w - 2 + 11*w. Give v(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8371, 33450, 75247, 133762, 208995?\n\"Answer: 8359*f**2 + 2*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102202 - 10?\nAnswer: -102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 92211, 91952, 91693, 91434, 91175?\n\"Answer: -259*l + 92470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - n - 47, 5*n + 6 - 1 = 0. Suppose 3*x - 12 = x + 3*k, 0 = 3*k. Calculate the remainder when l is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 12, 57 in ascending order.\nAnswer: 3, 4, 12, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177*((-28)\/12)\/(-7).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4457121270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 - 3*k - 4. Let y be j(3). Suppose -y*i + 2085 = 5*h - 0*i, -3*i - 859 = -2*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 2 l when four letters picked without replacement from xolloxxlxxloott?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1465 = -149*t + 5*t + 25 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13675*a**2*d**3*g**2 + 42*a**2*g**2 + 2*a*d**3*g - 2160*a*d**2*g + 2*a - 2*d**3*g**2 + d*g**2 + 2*g**2 wrt a?\nAnswer: -27350*d**3*g**2 + 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 30*g**2 + 78*g + 461. Determine c(-32).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 505 + 2046?\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4308 + 11571 = 0. Let q = p + 3050. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -784146 - 6586.\nAnswer: -790732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - 1544\/(-40). Let o = c - 37. Solve -6 = 2*u - 0*f - 2*f, 12 = u + o*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*d**5 - 115*d wrt d?\nAnswer: -1980*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/36308 and -29\/47576.\nAnswer: 1379704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h + h**2 - 12*h**4 + 1200*h**3 + 1227*h**3 - 3732*h**3 - 900 + 1218*h**3 wrt h.\nAnswer: -144*h**2 - 522*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2657, -5281, -7913, -10559, -13225?\n\"Answer: -a**3 + 2*a**2 - 2623*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 720245849 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -6 + -1 - (-6)\/1. Let m(n) = n**3 + 12*n**2 - n - 10. Let u be m(-10). Suppose q*h = h + u. Calculate the highest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8094000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 9*q + 3. Let o be m(10). Let b = o + -8. Suppose -31*v = -36*v + b. Calculate the remainder when 4 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 take away -44?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 divided by 4?\nAnswer: -191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2187 in 0.5, 1\/10, -2, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -106?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o + 66. Suppose 4*k = 86 + 158. Let n = k + o. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**5 - 4*v**5 - 6*v**5)*(-60 + 133 - 35).\nAnswer: -304*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**13\/k*k))\/(k\/(k\/(k*k*k**(-6\/5))*k)))**26 assuming k is positive.\nAnswer: k**(-1534\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Let m be (16\/(-360) + (-42)\/(-945))\/(2\/1). Solve 0 = -4*h + b - 6*b - 5, -b + c = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215.7 - 150.69. Let g = -0.99 - x. Let m = g + 65.946. What is m rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133689635?\nAnswer: 5, 26737927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcccr. Give prob of sequence cc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*o + 68 - 207 - 108*o + 59 + 80.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 255*y + 162*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3631957 to the nearest integer?\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7750*b**5\/19 + 2185350*b**4\/19 + 16696360*b**3\/19 + 33559104*b**2\/19 + 19391488*b\/19 + 3399840\/19 = 0.\nAnswer: -42498\/155, -5, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598744120 rounded to the nearest 100000?\nAnswer: 1598700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4944250 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 2*k + 36 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -11*h + 10*h. Let x = -26 - h. Calculate the common denominator of (22\/(-77))\/((-2)\/x) and -54\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 96 and 0.378.\nAnswer: 36.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*b**3*u**3 + 6689*b**3 - b**2*u**2 - 1420*b**2*u - 2*b*u**3 - 2*u**3 - 24*u**2 wrt b.\nAnswer: 228*u**3 + 40134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 - -170.5. Let g = 26.4 - 30. Let t = g - x. Which is the second biggest value? (a) t (b) -0.01 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*p + 6, 5*r - 3*p + 0*p + 68 - 74 = -p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3191*t - 457. Is z(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -9) + (-5 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -4*u - 3*u. Let j(t) = -4*t**2 + 8 + 28*t**2 + 19*t**3 + u + 25*t - 20*t**3. Let f be j(25). What is the greatest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.302471*18\nAnswer: 149.444478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5492.\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -3*c**2\/2 + 3*c + 11. Give s(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-48)\/(-2))*40\/15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7832.1 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 116*w**2 + 7*w - 37. Let s(x) = -58*x**2 - 4*x + 20. Let h(q) = 3*m(q) + 5*s(q). Find the first derivative of h(d) wrt d.\nAnswer: 116*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246cb (base 13) to base 9.\nAnswer: 112025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -6, -44, -98, -168?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1011 + 4?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 104\/18 - (-2 + (-64)\/(-36)). Suppose -s*y = -y - 65. Do 14 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8062320 or 0?\nAnswer: 8062320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -244575, -1956657, -6603733, -15653301, -30572859, -52829905, -83891937?\n\"Answer: -244583*s**3 + s**2 - 4*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13329802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 383?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24 + 18288\/(-992) + 2\/(-31). Let u(k) be the first derivative of 0*k**3 + 9 + 0*k - o*k**2 + 5\/2*k**4. What is the second derivative of u(i) wrt i?\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -28*o**2 - 1342*o + 108. Let d be y(-48). Solve -8*r = d*r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(900\/(-24)))\/((-2)\/15)*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.298, 0.04, 0, 40, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3795443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -2) + (14 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -11. Calculate the least common multiple of c and (-3 - -7 - -8)\/((-15)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1340, 44, -124 in increasing order.\nAnswer: -124, 2, 3, 44, 1340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 120*w - 69*w - 50*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243 + -242. Sort y, 2, -151 in increasing order.\nAnswer: -151, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -87 + -2959?\nAnswer: -3046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 242.42 + -245.42. Which is the fourth smallest value? (a) x (b) -0.197 (c) 4 (d) -1 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6*i - 4*i = 12, -4*i = k - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(-26)\/24*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23173 + -12664. What is the thousands digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4367 - -4556. Calculate the highest common factor of z and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. Solve 0 = -2*f - 4*r + n, -f + 4*r = -0*r - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563307628 to the power of 1\/2, to the nearest integer?\nAnswer: 23734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 30 = -28126*r + 28132*r, 0 = -3*v + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1145816\/(-103964) - (-2)\/94.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**4 + 3*r. Let t be (4 - 3) + (-2 - 0). Let w(s) = s. Let i(d) = t*k(d) + 6*w(d). Find the second derivative of i(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2402?\nAnswer: 9608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 28*m + 13*m + 30*m - 19*m + 22*m.\nAnswer: 73*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/7 (b) 3 (c) -64\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25\/35*-1*(-3)\/5\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110011110 + 1?\nAnswer: 11110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 40 = 5*m, 0*i - 8 = 2*i. Solve -k + m*f - 21 = 0, 4*k = 2*f - f - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 17*m - 44*m. Solve m*r + 2*r = -21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21308, 85215, 191726, 340841?\nAnswer: 532560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 148 = 5*y, -84 = -3*y - m - 2*m. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2\/2 - 4*n + 7. Let o be f(7). Factor 0 + 0*y - 1\/4*y**o + 0*y**2.\nAnswer: -y**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594948.704 minus 49?\nAnswer: 594899.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-2))\/((-31)\/(620\/(-105))))\/((-2412)\/2345)?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j + 7*j - 2*j**2 - 21*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1\/2 (c) 4 (d) 1243 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -i + 4*h - 73, -5*i - 3*h = -5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.548 in 1\/5, 17\/3, -2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -561037, -561021, -560993, -560947, -560877, -560777, -560641, -560463?\n\"Answer: u**3 + 9*u - 561047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14268 and 55419.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(91)*-2 - sqrt(91)) + sqrt(91)*2*1)\/(-4*(sqrt(28) + sqrt(448) + sqrt(28))).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -45 + (16 - 15 - 45\/11).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 3\/7 (c) -1\/8 (d) 2 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h*t**5 + 22*h*t**3 - 284*h*t wrt t?\nAnswer: -180*h*t**3 + 132*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*y)*((-4*y**2 + 2*y**2 + y**2)*(-y + 0*y - y) - 8*y**3 + 3*y**3 + y**3).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 53 = 4*p - 239, 2*p - 566 = 4*f. What is f rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*i + 191 = -5*i, 0 = -2*z - 5*i - 181. Let y = z - -157. What is the greatest common factor of y and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2 - 3880*u - 918528 = 0.\nAnswer: -1664, -276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 - -25. Let u = 144 + t. List the prime factors of u.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*(-27)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y. Let u(v) = v. Let a(q) = 4*u(q) + x(q). Let l(k) = -5 + 2*k**2 + 5. Calculate l(a(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2793*g**2 - 39*g + 59*g - 20*g in the form m*g + k*g**2 + l and give k.\nAnswer: -2793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 1, 3, 38, -3 in descending order.\nAnswer: 147, 38, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 661 = 20*y. Suppose y = 3*r - 37. Calculate the remainder when 41 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -6*22\/12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7762 divided by -1.\nAnswer: 7762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 769308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, 0.1, -1.4909?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-4) - -1)*(32 - (-1584)\/(-54))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 13. Let q(i) = 4*i**2 - i. Let z be q(m). Let x = 9 + z. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.405 - -1.3. Let n = r - 0.295. Let q be 0 + (-2)\/(-4)*1. Which is the smallest value? (a) -2\/11 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 1452989?\nAnswer: -48\/1452989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**3 - 6*y**2 - 1003*y - 6. Let w(j) = -3*j**3 + 5*j**2 + 1000*j + 5. Determine 5*r(l) + 6*w(l).\nAnswer: 2*l**3 + 985*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4974359560.\nAnswer: 2, 5, 29, 599, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14246 to three dps.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-24 - -63) + -44.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2071*l**2 - 2071*l**2 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*j - 112*j = 6230. Let c = 28 - 10. What is the remainder when j is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12467 times -0.2?\nAnswer: 2493.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46, -39, -28, -13, 6, 29?\n\"Answer: 2*v**2 + v - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42306091 or 42306092?\nAnswer: 42306091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25569*b = 25574*b - 4*f - 343, -3*f - 252 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 105 - 6872*h + 2 + 6873*h + 9.\nAnswer: h - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 52 = -13*g. Calculate the highest common factor of 234 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 909.5128 millilitres in litres?\nAnswer: 0.9095128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5083*x - 16961. Let p(h) = -1274*h + 4240. Let w(i) = -23*p(i) - 6*q(i). What is the derivative of w(s) wrt s?\nAnswer: -1196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amaaamaaamamamaaaa. What is prob of picking 3 m?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11738 divided by 11738.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*y**3 - 2*y**2 + 115 - 58*y**3 + 97*y**3 - 2*y as c*y**3 + w*y**2 + f*y + m and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 163868130 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:53 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 86. Let k(y) = -m*y + 3 + 8*y + 18*y. What is k(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -15*z**2. Let d(v) = -615*v + 464*v - 483*v. Give u(d(g)).\nAnswer: -6029340*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2355164401 - 4?\nAnswer: 2355164364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0123 and -2908?\nAnswer: 35.7684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12289?\nAnswer: 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*b + 1406 - 1392, 3*b - z = -21 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1588 + -3019. Let w = -39582505\/22 - -1797774. Let n = w - x. Calculate the common denominator of n and 67\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -108, -152, -198, -246, -296, -348?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 5, 4*b - f = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 2*j**3 + 3*j**2 + (4 - 6 + 4)*(-j**3 - 4*j**3 + 6*j**3) + (-3*j**2 - j**2 + 20*j**2)*(-3*j + 0*j + 4*j).\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85788.49ml to litres.\nAnswer: 85.78849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 2:36 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 119648*r - 598084. Determine t(5).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 13944?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16642*t**2 - 16642*t**2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vssllr. Give prob of picking 1 r, 2 s, and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 488, 5, -64465 in ascending order.\nAnswer: -64465, 5, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470\/28*((-210)\/(-24))\/(10550\/844)?\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o**4 - 3*o**2 + 4. Let k(l) = 30*l**4 - 5*l**2 + 7. Let s(w) = 4*k(w) - 7*y(w). Find the third derivative of s(z) wrt z.\nAnswer: 360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 a factor of 80677709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -55*j + 48*j. Let w be 111\/(-39) + j\/(-52). Let n(b) = 28*b**2 + b - 1. Is n(w) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**4\/4 - 5*q**3\/3 + q**2 + 5*q + 25. Suppose 201 = 46*h + 17. Calculate f(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*s, v + 0*s - 13 = -2*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -14*w - 7. Let f(d) = -15*d - 6. Let j(a) = -4*f(a) + 3*h(a). What is the first derivative of j(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50252798 to the power of 1\/2, to the nearest integer?\nAnswer: 7089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 20251 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -0.3 (b) -0.26 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 5. Suppose -p + 67 = 3*q. Solve -5*b = q - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**2 + 678 - 2*h - 336 - 339)*(10*h + 12*h - 8*h).\nAnswer: 98*h**3 - 28*h**2 + 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 38. Suppose -7 = -m - 4*r, 0 = -2*m - 3*m + 4*r + v. Is 127 + -2 + m + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -563959*w - 6767436. Calculate i(-12).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(272) + 0 + -1))**2.\nAnswer: -2592*sqrt(17) + 88452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.939 - -1.11. What is o rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**6\/40 + 7*i**5\/30 - i**4\/3 - 29*i**2\/2 + 88. Let w(r) be the second derivative of c(r). Factor w(g).\nAnswer: -g*(g - 4)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**3 - 2*m**2 + 3*m + 13200000. Let i be w(0). Round i to the nearest 100000.\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.797 + -14.797. What is the nearest to 2 in -3, -3\/37, -0.2, v?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2063 = -33*w + 2591 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1212 and 3636?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2537151 to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - 63\/(-924). Let f be (-2)\/(-4) + (-15)\/18. Does b = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*s + 106 = 283, 2*f + 5*s - 84 = 0. What is the highest common factor of 370 and f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 24 + 11120\/(-139) - 1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 17.09154 millilitres?\nAnswer: 0.01709154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 55 = -8*b, 5*g = -5*b - 33782 + 33772 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 14\/4)\/((-3)\/296). Let v be (-1332)\/s*((-10)\/(-9) + -1). Which is the closest to v? (a) 0.1 (b) 2\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*y. Suppose 0 = -y*u + 2*u + 22. Let w = 16 - u. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2) - (1 - 2). Let v = -3 + g. Let u be 2\/(1 + 1) + -1. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (17 + -2) - (-12 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1686*m**3 - 3*m**2 - 7*m + 13. Let k(y) = 3373*y**3 - 7*y**2 - 14*y + 28. Let r(t) = -4*k(t) + 9*q(t). What is the hundreds digit of r(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -63*q + 1122. Determine c(20).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-139 - 47*h + 139)*(-2 - h + 2) - h**2 + h**2 + h**2)*((0 - 1 + 2)*(2 - 4 + 4) + 1 + 6 - 5).\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 8. Suppose 5*r - 4*r = j. Solve -5*n - 12 = -4*f + 5, 5*n = f - r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*p + 32*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78223887 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22378762*j*l + 173*l + 44650 wrt j.\nAnswer: 22378762*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1 - 1) + -13)\/((-8)\/96). Let p = w - 152. What is the highest common factor of 44 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -511272, -511651, -512030, -512409, -512788?\n\"Answer: -379*p - 510893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*c**5 - 2169*c**4 - 52782*c**3 - 28791*c**2 + 10530*c = 0. Calculate c.\nAnswer: -13, -9\/11, 0, 1\/4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3387 and 75.793425.\nAnswer: 3462.793425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1808*o - 28 = 1801*o. Let y be 2\/(-3) - 232\/(-24). Suppose -5*f + y = 2*n - 4*f, 0 = -5*n - 2*f + 23. Solve g - 2*s = -7*s - 9, -o*g = -n*s - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 4354101?\nAnswer: -4354102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*c - 2, 2*m + 5*c = c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2706, 13329, 31030, 55809?\nAnswer: 87666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 18*u + 1144 - 1021, -s = -2*u - 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) 0.69 (c) 19 (d) 3 (e) 0.003\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1881*l**4 - 6262 + l + l**2 + 6261 + 795*l**4 to s*l**4 + n*l**3 + u*l**2 + t*l + o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 240*w - 663. Let d(l) = 4*l**2 + 472*l - 1327. Let m(t) = -6*d(t) + 10*h(t). Suppose m(o) = 0. Calculate o.\nAnswer: -111, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + l + 748 = -1349, -3*j - 5*l = -6235. Calculate the smallest common multiple of 380 and j.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4107898 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -45. Let v(g) = -2*g - 20. Let r(q) = q. Let a(x) = p*v(x) - r(x). Calculate the least common multiple of a(-13) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) -0.1 (b) -2 (c) -6 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-180)*1*2*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (13 - 19) + 25 - -22) + 1 + 1\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4578628446.\nAnswer: 2, 3, 7, 23, 67, 23581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Let s(z) = -265*z**2 - 4*z - 4. Let g(j) = -2613*j**2 - 39*j - 39. Let w(i) = -4*g(i) + 39*s(i). What is w(x(n))?\nAnswer: 468*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2 + 5 + 28*b + 19 - 6. Let p be m(5). What is the third derivative of 8*g**3 - 165*g**2 - 32*g**3 + p*g**2 wrt g?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 + 2161 = -84*i - 480 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 6)\/(-2 + (-1 - -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 778990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 + 16*v - 16*v - 6*v**2 wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*p + 106*p + 44 = 0. Suppose 5*d - p*x - 995 = 0, d + 8*x - 3*x - 228 = 0. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 7. Let z = m + -6. Suppose -33*g - 396 = -646 + 382. Sort -2, -1, z, g in descending order.\nAnswer: z, -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56038 is divided by 80?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 469 = -476 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -0.7, -1\/5, 0.8 in decreasing order.\nAnswer: 0.8, 3\/5, -1\/5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + 3 + 0 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, c: 3, h: 3}. Give prob of sequence hvhh.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -278.1 - -278. Let u = 0.5 - 0.1. What is the closest to 2 in w, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 75, 91746?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -251544511 (base 6) in base 9?\nAnswer: -10112787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4778 + -2?\nAnswer: 4776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2270076?\nAnswer: 2, 3, 101, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:32 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s - 14. Suppose 13*x + 4 = 14*x. What is f(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 14*y + y + 15*y - 36*y + 4*y.\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 + -2. Let x = -4.97 + -0.03. Let k = x - -5. What is the second biggest value in -0.2, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 6*f = -f, 15 = 4*r - f. Suppose -1 = 4*a - 9. Suppose a*x - 10 = -r*x. Solve x*o - 4 = u, 2*u - 3*u - 5*o + 17 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57.975 + 0.025. Let f = 129616525.8 - 129616583.8000171. Let u = f + v. Round u to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -149 - -3?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.38 - -0.02. Let x = 9646 - 9645.6007. Let r = x - w. Round r to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13 - 1213*c**2 + 2403*c**2 - 1212*c**2 - 1225*c**5 wrt c.\nAnswer: -73500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -3622 + 3627. Let o(x) be the first derivative of -1\/38*x**4 - 2\/95*x**l - 18 + 1\/19*x**2 + 2\/57*x**3 + 0*x. Factor o(q).\nAnswer: -2*q*(q - 1)*(q + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2 = 0, 0 = -3*f - 0*f - 3*n - 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/(180\/2640). What is the closest to -4 in o, -5, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.1. Let d be 196\/(-6)*(-2)\/861. Let o = d + 6\/41. Which is greater: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.036 in -71, 5, 1.134, -1\/10, 2\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -3*x**3\/2 - x**2 - 6*x. What is the smallest common multiple of z(-2) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*c**5 - c**4 - 171*c wrt c?\nAnswer: 3820*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*u - 21. Let o(n) = -2*n + 1. Let s(j) = 4 - 5 + 2*j + 0. Determine u*o(q) - 4*s(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3070 times -71\nAnswer: 217970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u - 3*u + 3*v, -2*v = -4*u - 2. Suppose -x - x - 28 = u. Let y be ((-3)\/x)\/(21\/28). Which is the closest to -1\/2? (a) -5 (b) 2\/25 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7836?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*m - 4, 13*z - 16 = -5*m + 17*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, -14, 72, 1, 2.\nAnswer: -14, -2, 1, 2, 18, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882 = -43*n - 20*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108*12\/4032)\/9?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.1 + 14.1. Suppose -6*g + 11*g - 21 = l, 2*l + 10 = 2*g. Which is the fourth biggest value? (a) k (b) l (c) 1\/4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t + 3*t - 1 - 5*t. Let w = -2 - -5. Let z(a) = 7753*a - 2 - 7762*a + 0. Determine w*z(d) - 5*p(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6 - 4*g - 9 + 23*g - g**2 - 30. Let x be w(14). Let f = 39 - x. What is the greatest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from {d: 3, a: 2, h: 2, q: 6, b: 5}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -1727753.181.\nAnswer: -1727749.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 12*d + 6*d + 210 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t + 9*t - 143*t + 7*t - 27*t.\nAnswer: -179*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 11*w - 25. Let c be k(-7). Suppose c*r = g + 121, -2*r - 114 = 3*g + 194. What is the common denominator of 5\/12 and ((-18)\/351)\/((-4)\/g)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*w = -2, 0 = 2*a - 4*w - 1 + 13. What are the prime factors of (-17)\/((-1)\/(3 - a))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 14 = -18. Suppose 3 - 11 = 4*h. Let q = h - g. Calculate the least common multiple of 4 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 76. Let c be -1*(4 - (-2)\/a). Let s(p) = -7*p**2 - 4*p. Let r(l) = -8*l**2 - 5*l. What is c*s(k) + 4*r(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -579.2 - -669. Let r = 98.44 - 0.44. Let h = r - m. What is h rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1906*l - 7609. Calculate y(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*u**3 - u**2 - 193?\nAnswer: -204*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069004121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.31 - -0.69. Let l = 4 + 0. Which is the second biggest value? (a) -0.04 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -30*d + 361. Let f be y(11). What is the highest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/238 + (-5)\/((-70)\/(-48)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Suppose -3*r = 2*r - c + 742, 5*r - w*c = -744. Let v = 440\/3 + r. What is the closest to 0 in -1\/5, v, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**8\/6720 - r**6\/180 + r**5\/120 + r**4\/24 - 8*r**2. Let y(g) be the second derivative of h(g). Calculate y(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1084, 8623, 29076, 68899, 134548, 232479, 369148, 551011?\n\"Answer: 1076*a**3 + a**2 + 4*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 38, 63, 92, 125?\n\"Answer: 2*r**2 + 15*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1426*f - 86713 = 959*f + 21422 - 3195 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -66*c + 61*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19269 - -5549. What is m rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 12:27 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*u**4 + 44*u**3 + 76*u**2 + 20*u.\nAnswer: -4*u*(u - 5)*(u + 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11353 = -1817*a + 1493*a + 32737 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19114386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6170.755m to nanometers.\nAnswer: 6170755000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n + 2*h, 2*n - 5*h + 2 = -2. Let q(a) = 10*a + 3. Give q(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/12 + (-18)\/12)*-54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 2\/71591 (c) 1.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165438?\nAnswer: 2, 3, 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -185331, -185263, -185209, -185175, -185167?\n\"Answer: -l**3 - l**2 + 78*l - 185407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/7)\/j**(-32) assuming j is positive.\nAnswer: j**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 177*l - 62248 = -181*l, 3*w = -4*l + 46690. What are the prime factors of w?\nAnswer: 2, 3, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 10*z**2 - 6*z + 22. Let c be b(-9). Let t be -2*c\/(-2 + 12). Is t greater than or equal to -3\/289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 108997?\nAnswer: 108992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1 + (1 - 1). Let s be ((-20)\/(-25))\/1 - (-12)\/10. Let d be (25\/75)\/(s\/30*-1). Sort i, d, -3 in ascending order.\nAnswer: d, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 9*b**2 + 11*b + 15. Let h be u(6). Let p = -27 - h. Suppose 2*j + 5483 = 3*c, p = -0*c - 4*c + j + 7319. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -84, -6, 19, -19 in ascending order.\nAnswer: -84, -19, -6, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 - 237*y**2 + 172*y - 517. Determine f(-60).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 1 - (16\/4 + -8). Suppose 4*o - 3*d - 802 = r, 2*o = -d - 0*d + 396. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 157, 169, 185, 205, 229?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -5)*(6\/2 + -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-1 + 10 - 2)*(2*k - 2*k + k + 2*k - k + k + (3*k - k - 3*k)*(-3 + 0 + 1) + 0 - 2*k + 0 - 5*k + k + 2*k) in the form i + m*k and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let o(r) = -6*r**2 + 3. Let u(n) = 30*n**2 - 14. Suppose -4*k = 3*p + 42, 0*k + 28 = -2*p - 2*k. Let a(d) = p*o(d) - 3*u(d). Give a(z(b)).\nAnswer: -24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/19)*p**(-6)*(p*p**1)\/(p*p**(-1\/4)))**(-2\/9) assuming p is positive.\nAnswer: p**(353\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 365 + -328. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15880.99981117 - -15881. What is o rounded to 6 dps?\nAnswer: 0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2\/17, 3\/4, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 0?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.6 - -0.6. Let z = v + 13. Let f = 23 - 23.1. What is the closest to 1\/6 in f, -1\/7, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 29*r**2 + 3. Let l be y(-29). Factor 20 - 11*b**2 + 21 - 41 - b**l.\nAnswer: -b**2*(b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.06, 8, 0.5, 15 in increasing order.\nAnswer: 0.5, 1.06, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 (base 8) in base 9?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 1160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-105)*(-6279)\/117.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 393161032 to the power of 1\/2, to the nearest integer?\nAnswer: 19828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -111, -131, -73, 63?\n\"Answer: 39*d**2 - 137*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215 - 1170 = -3*h - 5*l, 2*l = 10*h + 3*l + 103 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + g. Suppose 2*j - 1 = -3. Let y(o) = 27*o**2 - 2*o + 33*o**2 - 85*o**2 + 29*o**2. What is j*y(t) + 3*d(t)?\nAnswer: -t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2 + 5*f - 2. Let h be j(5). Let q = -202 + 44. Let x = h - q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 915293\nAnswer: -3\/915293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27+302.42\nAnswer: 329.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(((o*o**(-8))\/o)\/o))\/((o\/(o**(2\/17)\/o))\/o)*o*o\/(o**(-6)\/o)*o\/(o**(-3\/4)\/o))**(-9\/5))**(-38) assuming o is positive.\nAnswer: o**(242649\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 7367, 161, 3 in decreasing order.\nAnswer: 7367, 161, 3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/9)\/f**28)\/(f\/f**(-39)*f**(-4)*f))**(7\/5) assuming f is positive.\nAnswer: f**(-4123\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p**4 - 200*p**2 + 80 = 0.\nAnswer: -2, -2\/3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15 - 19*x + 12 + 4*x + 19*x. Let k be o(-6). Suppose -5*r - k*n + 164009 = 0, 5*n - 187682 = -5*r - 23667. What is r rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 55784.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h + 189. Let d be u(14). Solve 0*n + d*n - 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8120260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -28 + 20 + (-18 - (-1 - -2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {a: 2, i: 3, n: 6, k: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2656 - 1596. Suppose 58*n = 54*n + c. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 139711?\nAnswer: 139711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 19*j**4\/4 + 8*j**3\/3 + 223*j**2\/2 + 93. What is the second derivative of w(o) wrt o?\nAnswer: 114*o + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 89*n**2 - 1. Let s(c) = -3*c. What is f(s(w))?\nAnswer: 801*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 0 - (233 + -103 - 99)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(117) - sqrt(117)*1)*-2)\/(sqrt(144)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 9. Let j be m(9). Let r be ((-3)\/j)\/(1\/(-3)). Let u = 2442\/13 + -188. Which is the nearest to 0? (a) u (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -244 - 278. Let o = 60 + z. Solve o*n = n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n*(n**(-1\/4)*n)\/n))\/(n\/(n\/(n*n**(-1\/17)*n)*n*n))*n**(-6)*n*n*n**(-1\/21) assuming n is positive.\nAnswer: n**(-2483\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 516, 1379, 2820, 4845, 7460, 10671, 14484?\n\"Answer: x**3 + 283*x**2 + 7*x + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 3409776*j**2 - 102291930*j + 767186100.\nAnswer: -2*(j - 1704858)*(j - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51733?\nAnswer: 11, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a - -418?\nAnswer: 3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4432.786 millilitres?\nAnswer: 4.432786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*i = -395*i + 870. Let u(h) = 42*h - 13. Let m be u(9). What is the greatest common factor of i and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -859, -3, 16, 4 in decreasing order.\nAnswer: 16, 4, -3, -4, -5, -859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6116015 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8660242ml to litres.\nAnswer: 0.0008660242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9 - (-4 + -462 + 7) is divided by 157?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by -4\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -25303 > -25301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20458913?\nAnswer: 631, 32423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/4 - 1\/(-2). Suppose -p = -4*n + 3. Let w(x) = -x**2 - 18*x - 67. What is the remainder when w(-8) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7995 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 705436567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 3*c + 11. Give a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 27. Let w be h(-7). Solve -2*f = 3*f - w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*1)*-2 + sqrt(77) + sqrt(77)*3*-2)\/((sqrt(7) - (sqrt(7) + sqrt(84)\/(3*sqrt(12)))) + (sqrt(7) + sqrt(56)\/sqrt(8))*-2)*3.\nAnswer: 45*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21635207, -21635200, -21635189, -21635174, -21635155, -21635132, -21635105?\nAnswer: -21635074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(((-7)\/(-10))\/(7\/(-1))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7658*c**2 - 7248*c**2 + 14933*c**2 + 5*c**3.\nAnswer: 5*c**3 + 27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 4528*j - 1560320.\nAnswer: -2*(j + 424)*(j + 1840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31.4 * -0.2\nAnswer: -6.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16677 is divided by 769?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03066, -1\/21, -5, -0.055 in descending order.\nAnswer: -0.03066, -1\/21, -0.055, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - f - 24. Let l be i(0). Let z be 18*(-4)\/(l\/(-9)). Which is greater: z or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 36 + (-6615)\/((-1764)\/(-36)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58931 is divided by 7357.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-2 + 91\/28). Factor 45*f**5 - 7*f**3 - 47*f**5 + 0*f**2 + 0*f**2 - f**3 - k*f**4.\nAnswer: -2*f**3*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n + 17 = -r, 8 = -4*r + 4*n. Suppose 3*q + 15 = 5*w - 0*q, -2*q - 10 = 4*w. Let l(u) = 3*u - u**2 - 10*u + w*u**2 - 3. Give l(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f - 5*d + 11, 2*d = -2*f + 8. Suppose -f*h - 2*h = 0. Let g = -4 + 6. Solve 4 = -h*u - g*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + ((-1101)\/(-2) - 2). Let b = i - 559. Calculate the common denominator of 2\/((-396)\/(-617)) - (-597)\/5373 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 23*w = -1309. Suppose 0 = 17*z - 6*z - w. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1009293, 1009294, 1009295, 1009296, 1009297, 1009298?\nAnswer: 1009299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23582475193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3139.35699994 - -3139.327. Let d = 0.11 - 0.14. Let u = d - y. Round u to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*f = -2*y + 2463, 3*y + f = 2472. Suppose 0 = -3*x - 5*b + y, 0*b = 5*b + 15. Does 40 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + 2. Let q be (92\/1564)\/(2\/(-648)). Let n = q - -597\/34. Which is the nearest to 0.1? (a) n (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 4*s + 170 = 0. Let c(m) = -m**3 + 7*m**2 - 2*m - 11. Calculate the remainder when c(5) is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33469903 is divided by 6439.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 355 - 2*i - 119 + 34 as t + y*i and give t.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-150)\/144 + 1). Let a(o) = 8*o**2 - 8*o + 6. List the prime factors of a(k).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + 2a126?\nAnswer: 2a0b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1 + (-4 + 4 - 2)*(0 + 0 - 2) - 4 + 3 - 1 + 3 + 1 - 3 + 2 - 1 + 1 - 104 - 24 + 7)*(-1 + 7 - 2)*(-m - 2*m + m) + 0*m + 4*m - 5*m.\nAnswer: 911*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171975 is divided by 13182.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 11. Let f(a) = 5*a + 32. Let c(z) = 4*f(z) + 11*u(z). Does 19 divide c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.34 (b) 0 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 3 - 1 - 62614895*b + 4 + 62614895*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2*(-42)\/24*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 12:58 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -2\/3*x**6 + 6*x**2 + 4*x - 71 - 12\/5*x**5 + 8\/3*x**3 - 2*x**4. Solve h(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**3 + 0*i**3 - i**3)*(-3*i + 4*i - 3*i) - 20178*i**4 - 16*i**3 + 15*i**3 - 34124*i**4 in the form j*i**3 + s*i**4 + p + m*i**2 + v*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 8547?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 507676 a multiple of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5053\/(-5868)*(2\/2 - -3) - -5\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*126\/(-63).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154245 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 6 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d\/((((d\/(d**(5\/9)\/d*d))\/d)\/d)\/d)))\/d)\/(d**(-1\/12)*d)*(d**(1\/3))**(24\/11))**(2\/25) assuming d is positive.\nAnswer: d**(-1087\/4950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/14)\/(-28 - (-65784)\/2352)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967078627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 8 - ((-4 - -4) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/16)\/((-20)\/(-320)). Solve 0 = 37*a - u + 300 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x + 4*x - x to q*x + i and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 71*d - d**3 - d**2 + 62*d - 132*d - 7. What is l(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v - 156. Let g be p(16). Let y = 84 + -81. What is the highest common divisor of y and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from {c: 2, o: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0289 + 0.0389. What is the closest to 0.1 in 1\/5, r, -1, -1\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 68 = -3*i, 11*i - 15*i - 5*j + 132 = 0. What is the hundreds digit of 1540 - (i\/4 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 3*m**3 - 2*m**2)*(5*m**2 - 42 + 97 - 46).\nAnswer: -15*m**5 - 27*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550, -552, -556, -562, -570, -580?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-56 - -40 - (12 - 0)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2 - 4*b - b**2 + 3*b + 4*b. Let r be (-9 + 6)\/((-2)\/2). Calculate x(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 26. Let r(k) be the third derivative of x*k + 3*k**2 + 1\/6*k**3 + 1\/8*k**4 + 0 + 1\/20*k**5 + 1\/120*k**6. Solve r(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 4*l**3\/3 + 3*l**2 + 6. Find the second derivative of m(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7836 - -7829.64. What is m rounded to one decimal place?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91274.14l to millilitres.\nAnswer: 91274140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18740534 at most 18740535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26183006\/3 at least as big as 8727670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-4))\/(660\/550)*48*6\/60.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + (-3 + 6 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2752\/9, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28249*0.5\nAnswer: -14124.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 24*y + 213. Give t(-13).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2110\/7 + 302. Which is the nearest to -1? (a) 0 (b) -11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 4*j - 8. Let x be t(-6). Suppose 0 = d + u, -d + 9*u - x*u = -12. Let b(r) = 3*r + d*r - 2*r - 4*r. Let m(k) = k**2. Calculate b(m(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h = 27*h - 55*h + 85. Solve 4*i = g + 12, 3*g = -3*i - 5 - h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/3, 1\/4, -103.99236?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -7*r**5\/60 - 2*r**4\/3 - r**3\/2 - 114*r + 1. What is s in u(s) = 0?\nAnswer: -3, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*g**3*u**3 + 283*g**3*u + 11*g**2*u - 589*g**2 + g*u**3 - 3*u**3 wrt g?\nAnswer: -276*u**3 + 1698*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwtjlfc. Give prob of sequence ftc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -10 (b) -0.2 (c) 2\/11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 308?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*6\/378 + 130880\/(-3360).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:57 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:17 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.233?\nAnswer: 0.1165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-429)\/286*1\/(18\/(-3))*(-6)\/13?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify h**22*h\/(h\/(((h*((h**(2\/9)\/h)\/h)\/h*h*h)\/h)\/h*h))*(((h**(-2\/11)*h)\/h)\/h)\/(((h\/(h**6*h))\/h)\/h) assuming h is positive.\nAnswer: h**(2776\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1521 and 351042?\nAnswer: 177978294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2\/9919, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28\/11 + -229\/77. Put -5, -8, b, -1\/20, -2\/3 in increasing order.\nAnswer: -8, -5, -2\/3, b, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 44859.5ml?\nAnswer: 44.8595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.9, -0.02, -2\/5, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2. Let k = -106\/469 - 4\/67. What is the nearest to k in c, -0.5, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4392 and 3.\nAnswer: 13176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + (sqrt(243) - (0 + sqrt(243) + -1))) - 4*1*-2*(sqrt(243) + -1))**2.\nAnswer: -2592*sqrt(3) + 15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -1725\nAnswer: -12075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**2 + 18*q - 67. Let m(y) = 7*y**2 - 14*y + 66. Let o(s) = 2*s**2 - 12*s - 5. Let g be o(6). Let a(c) = g*m(c) - 6*v(c). Factor a(t).\nAnswer: (t - 36)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -22*s**3 + 8*s**2 + 19*s + 201. List the prime factors of g(-7).\nAnswer: 2, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 - (101 - (126 - -14)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by -3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 3 + 3 + 8*t - 18*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5228 - 5236 = 4*c, -5*i + 7 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 81708000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 3*r**4 + 382*r**3 + 5002*r?\nAnswer: 20*r**3 - 36*r**2 + 2292*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9)**34\/((u\/(u*u*u*u*u**(-21)*u))\/(u*u\/(u\/(u*(u*((u*u**(2\/7)\/u)\/u)\/u)\/u*u)))) assuming u is positive.\nAnswer: u**(2032\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -203, -376, -551, -728?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 148 - -247555?\nAnswer: 247703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let i = 3 + n. Solve -i*r = -r + 4*l + 28, 0 = l + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-616)\/(-56) + (-14 - (2 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**8\/504 + f**7\/315 - f**6\/36 - f**5\/90 + 2*f**4\/9 - 4*f**3\/9 + 13*f**2. Let h(z) = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2. Let w = -16 + 19. Suppose -10 = -2*h, -22 = -w*f + f - 4*h. Let k(y) = -f - 2 + 5*y + 3. Give t(k(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18006 + 0.31994. Let m(r) = r**2 - r - 3. Let l be m(3). Suppose 2*o = l*q - 3, -3*o - q - 1 = 9. Which is the closest to -0.2? (a) i (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 - 4*h + 3. Let l be w(2). Let k(c) = 1 + 0*c**3 + 6*c**2 + 0 - c**l + 2. Determine k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.153 and -306909.\nAnswer: -46957.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.05, -0.01, -4\/17.\nAnswer: -5, -4\/17, -0.05, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2 (b) 0.5 (c) -0.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -17*s**4\/8 - s**3\/2 - 17*s**2\/2 - 17. Let k(b) be the second derivative of v(b). Is 25 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 5*j**4 - 644*j + 633*j + (4*j - 4*j - 2*j**2)*(0*j**2 + 4*j**2 - 2*j**2) - 2*j**4 + 2*j**4 - 2*j**4.\nAnswer: -9*j**4 - 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 111\/135) + (-63)\/(-105).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 122, 2.4, 88?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 24, 1, -24, -51?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/5, -16, 21, 0, -0.3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1997*l**3 + 9*l**2 - 95 wrt l.\nAnswer: 11982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23683211 is divided by 364357.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(847) + 2 + sqrt(847))**2.\nAnswer: 88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (1 - 3) - (23 + -27 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 3, 18, 41, 72, 111, 158?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -66\/3445 and -42\/83645.\nAnswer: 57631405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 17, b: 3}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -317*k**2. Let g(y) = -y**2 + y + 314. Give g(l(u)).\nAnswer: -100489*u**4 - 317*u**2 + 314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))*-6 - 1*(sqrt(19) - 3*sqrt(19)).\nAnswer: -4*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -514*u**3*v + 95*u**3 - u**2*v - 4*u**2 + 9445*u*v wrt u.\nAnswer: -3084*v + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -60*q + 44*q. Is q equal to -3\/398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546000 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 18*x**2 - 231*x - 20. Let r be h(13). Calculate the highest common divisor of r and 8018.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 4 - (2 + 2 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -420 + 12530012?\nAnswer: 12525152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**(3\/2)\/u)\/u)*u*u*u\/u**8)**28)**(-16\/3) assuming u is positive.\nAnswer: u**(1568\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000683661468 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 6 = 3*k. Suppose 0*q = 3*q - 6. What is the derivative of -2 - 2*s**2 + q*s**k + s**2 wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4951947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -33. Let w(b) = -4*b**2 - 3*b. Let n(i) = 5*i**2 + 4*i. Let a(k) = g*w(k) + 3*n(k). Let v(m) = -3*m - 2*m + 3*m. Give v(a(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6141307, 6141305, 6141303, 6141301, 6141299, 6141297?\nAnswer: 6141295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 9582*h - 86125. Determine n(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from yyvvvvvv.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 20*o + 1. Let u(k) = k**2. Give d(f) - 3*u(f).\nAnswer: -f**2 + 20*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 17*p**2 - 4*p + 57. Is j(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185 * 4843650.\nAnswer: 896075250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 11*z**2 - 19*z - 10. Let i be h(-9). What is the second biggest value in 0, -4, i, 87?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtrr when four letters picked without replacement from {w: 3, t: 4, r: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 - 3)*(9*q**2 + 5*q**2 + 2*q**2) + (29*q + 44*q - 22*q)*(-5*q + 2*q + 4*q) to the form v*q + h*q**2 + p and give h.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 36 + 10 + (-1 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**3 - 2*c**2 - 2. Let q(f) = 11*f**3 - 5*f**2 + f - 5. Let m(d) = 89*d + 885. Let y be m(-10). What is y*a(w) + 2*q(w)?\nAnswer: -8*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**3 - 2*c + 3*c - c**3.\nAnswer: 15*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*b = -108, 3*b - 1 = -i + 6. Suppose 0 = -5*s + 4*z + 7, -4*z + 2 + 6 = 0. Let l = i - s. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tth when three letters picked without replacement from thhhhhhhhthhth?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12974 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 5\/12*r**4 - 2*r**2 + 0 - 14*r + 1\/6*r**3. What is v(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 - 181. Is k smaller than 22\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1385100 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 1684*m**2 - 25 + 28 + 259*m**2 + 6*m.\nAnswer: 1943*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-3))\/((6\/4)\/(120\/(-720)))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 355 = 4*v - 2*r, 2*v + 3*r - 191 = 0. What is the highest common divisor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 17. Let x be m(12). Suppose 145 = x*n - 0*n. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-31))**(5\/7) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 681170, 1362342, 2043514, 2724686, 3405858?\nAnswer: 4087030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 474771 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 5*q + 2*h, 4*h + 18 = 3*q. Let j(f) = -1 + q + f + 0 - 4. Calculate the remainder when 2 is divided by j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 8:53 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27198, -27272, -27346, -27420, -27494?\n\"Answer: -74*o - 27124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*p - 228*p + 312749 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - o = -7, 2*p = 2*o - 0 + 10. Suppose -h - 4 = -6. Let u(c) = 5*c + 7*c**2 - 4 - c**3 - 5*c**h - c. Determine u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o - 49*o = -3720. Is o a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-169)\/(-104)))\/((-2)\/2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(10*(-6)\/12))\/(41\/(328\/(-128)))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 - 1 - 4 - 2*o**5 - o**2 + o**2 + 2*o**5 + (-2*o**3 - o**4 + 2*o**3)*(-28*o - 8*o - 2*o).\nAnswer: 38*o**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/729, -1\/6, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44513 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(16\/(-12)) - 3. Let l = y + 3. Suppose -t + 0*t = -5. Is t less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, and 2 h when four letters picked without replacement from jeehmqeqhmeehje?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 272?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0367 (b) 1\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1152)\/(-2304) + -3*((-479)\/(-222) - 2)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 12*f**2 - 20*f + 2. Let n be s(10). Let g be -1 - ((-3)\/3)\/(n + 2). Which is the nearest to -2\/7? (a) -3\/5 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2*z**2 - 39*q**2 + 17*q*z**2 wrt z?\nAnswer: 4*q**2*z + 34*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/169 - 0)*4\/(-8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)\/t)**(1\/7))**19 assuming t is positive.\nAnswer: t**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 198605, 198606, 198603, 198596, 198585, 198570?\n\"Answer: -2*a**2 + 7*a + 198600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-179)\/5 + ((-46)\/(1104\/(-24)))\/(-5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 4. Let d be g(4). Suppose -d*p + p + f = 7, 8 = 2*f. Is 8 + (p - 1) + 0 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112\/685 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10758, -8229, -4012, 1893, 9486?\nAnswer: 18767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 + 181*t - 451. Determine a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68 and -12.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 928 and 278941952?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668680580?\nAnswer: 2, 3, 5, 7, 89, 44641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/(r\/((r*r*r**(-6\/5))\/r)))\/(r**(2\/5))**(-2\/7) assuming r is positive.\nAnswer: r**(-38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 93*c**3 + c**2 + 6*c + 5. Give u(-1).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 77840 to the nearest 1000.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a8 + -10?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*t + 7. Suppose -z - 90 = -6*z - 2*s, -z + 18 = t*s. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*y = -337, -5*m + 4*y - 165 = 166. Let c = 127 + m. Let j = c + -20. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/(-5*(-12)\/(-90)). Suppose -l + 2 + 4 = 0. Let x = 10 - l. What is the nearest to h in -0.3, x, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53296 is divided by 860?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeehh. Give prob of sequence qe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3782.84945 - -443101.56955. Let m = j + -446538. Let l = -346 + m. Round l to 2 decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y**2 - 3*y + 3. Suppose i = s + 2*i - 6, -2*s - 8 = -3*i. Calculate j(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*-90\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2. Let o(d) = 53*d + 83. Give o(z(y)).\nAnswer: 318*y**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 - 21184*m\/3 + 224380928\/3.\nAnswer: (m - 21184)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -107117 not equal to -4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 10*c = -20. Suppose 0 = 3*x - 10 - c. Suppose 2*g = -x*u + 79, -g + 3*u = -3*g + 73. Calculate the greatest common divisor of g and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 434560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 3416.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 0. Let w = 4 - x. Let p = 7340 + -7337. Sort w, p, -0.2, 2\/3 in descending order.\nAnswer: p, 2\/3, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4, 3*l - 5*w - 14 = -w. Suppose 0 = l*i + 3*h - 59, 2*h = -2*h - 4. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 divided by -121?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3085791 rounded to two dps?\nAnswer: -9.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/(-544))\/((-3)\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-6))\/(9\/1107)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c5 (base 15) to base 2.\nAnswer: 10111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -36. Let x = c - -59. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17148250.778 - -17117735. Let s = x + 30515.51800042. Let v = 0.26 + s. What is v rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8438.596kg in micrograms?\nAnswer: 8438596000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 19*v + 17. What are the prime factors of u(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = 10*g - 117. Let t = g - -9. Sort -2, t, 0.4, -3 in descending order.\nAnswer: 0.4, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268867?\nAnswer: 313, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 5*b + 1119*u - 1117*u, -3*b + 85 = 35*u for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-364)\/(-21)*6\/4. Suppose 13 = i - k. Let a = 56 - i. What is a rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -367 - -371. Calculate the highest common divisor of 6 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9463*t + 56811. Determine w(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.5 - -2.9. Let s = -11 - z. Let g = -0.8 + s. What is the second smallest value in -1, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 3, -4*i + 5*a = 23. Let t = i - 1. Let l = t - -2. What is the third biggest value in -0.3, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from hvzzpphpzpzpph?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.59 + 3489.\nAnswer: 3488.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4439, -9168, -14425, -20474, -27579, -36004?\n\"Answer: -44*l**3 - 4421*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)\/(2 - 1). Suppose 4*l + 2*h - 9 = 23, f = -5*l - 5*h + 50. Suppose -2*a = 4*g + 13 - 91, 0 = -2*a + l. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -55.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -597 + -12080\nAnswer: -12677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 35*h - 40. Determine g(-17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**4 - 105*u**3 - 120*u**2 + 220*u = 0.\nAnswer: -2, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439.000617 rounded to two decimal places?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113902 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1586 = 5*v + 641. Calculate the highest common divisor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155530 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 279, 300, 303, 282, 231?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-6)\/(-36)*(6460\/114)\/((-25)\/(-60))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let u = -0.1 - 0.1. Let j = -0.15 - -0.05. Which is the closest to u? (a) y (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 4415?\nAnswer: 48565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 938.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + (-8 - (-12 - 6) - (3 - 6)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18*s**3 - 11*s**2 - 9*s + 9. Let d be p(8). Let v = -6598 - d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14354 at least 14353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.13, 2, 0.34 in increasing order.\nAnswer: -3.13, 0.34, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 16, z: 3}. Give prob of picking 1 n, 1 o, and 1 z.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -2, -3, 6, -4.\nAnswer: -76, -4, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-4))\/(8\/(-16)). Find the third derivative of m**2 - z*m + 5*m + 2*m**3 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -918.7 rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64955 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y + 0*y - 8*y)*(-140*y + 133*y**3 + 140*y).\nAnswer: -3059*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*l - 3 - 1 = 0, -7 = -2*q + 5*l. Is (-158)\/(1*(-1 - q)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a week in hours?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - c**2 - c + 1. Let m(x) = -2*x**3 - x**2 - 7*x + 1. Let k(n) = m(n) - y(n). Let q(v) = v. Let p(h) = -k(h) - 6*q(h). What is p(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -34*p**3 - 3*p**2 + 8*p + 26. What is the tens digit of h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85133418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 54*q**2 - 107*q - 278. Let z be h(56). Put 1, -39, 3, z, -4 in descending order.\nAnswer: 3, z, 1, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 47*u**2 + 560*u + 1984.\nAnswer: (u + 8)**2*(u + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27.6037792 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -m + 5*y, m - 5*y = -2*m + 590. Suppose 4*s - m = -s. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*g*q**3 + g*q**2*u**3 - 5*g*q + 2*g - 1754*q**3*u**3 + 2*q**3*u**2 - 4*q**2*u**2 wrt u?\nAnswer: 6*g*q**2 - 10524*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*z + 80, -4*z = -3*r + 7*r + 64. Let m be z\/(-7) + 4\/(-14). Let i**m - 6*i**3 + 2 + 5*i**3 - 2 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -16, -18, -20, -22?\n\"Answer: -2*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 313 (b) 1\/3 (c) -4 (d) 0.14 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 4. What is k(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2156)*-2*-5 - sqrt(2156)) + sqrt(2156))\/(-4*sqrt(48)\/sqrt(3)).\nAnswer: -35*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111335 - 111335. Let z = -10747\/1524 + 85\/12. Are z and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748962.5 millilitres in litres?\nAnswer: 748.9625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-52)\/(-10) + 2\/5 and (7 + 1 + -12 + 6)\/((-32)\/(-194)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 + 71*j**3 + 2217*j**2 - 26995*j + 71300 = 0.\nAnswer: -31, 5, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -50 and -2704\/55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 6*a**2 + 4*a + 1. Let w be k(-5). Let f = 3 - w. Let c = -604\/7 - -86. What is the smallest value in -2, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + y + y)*(-2*y - 3*y + 12*y) - 5 - 2*y**2 + 5 in the form t*y**2 + a + g*y and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/4*(-12)\/48. Let m = 3970 + -3965. Which is the closest to v? (a) m (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g = -23*g + 5*s + 15, 5*g = 2*s - 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 660061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143450 and 2524720?\nAnswer: 12623600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6921 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 7*c + 5*c)*(-16 + 3 + 1) + 6*c + 0*c - c + 4 + 2*c - 4 + (4 - 4 + 2*c)*(-2 + 2 + 2).\nAnswer: -97*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f**5 + 908*f**4 - 4888*f**3 + 8944*f**2 - 1056*f - 1152 = 0 for f.\nAnswer: -2\/7, 1\/2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s + 22. Give f(13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiidiiiiiiiiidi. What is prob of picking 2 d and 2 i?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -59*s**2. Let k(c) = -7*c**2 - 9*c + 9. Let j(y) = -y**2 - y + 1. Let g(r) = 36*j(r) - 4*k(r). Give v(g(n)).\nAnswer: -3776*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 23175816?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 12*v**2 - 2*v - 26. Let m be (1 + 3)\/(-4)*(-5)\/1. List the prime factors of g(m).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 d when four letters picked without replacement from adaadadddada.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352.666 - -352.666. Suppose 4*g - g = 5*h + 149, -5*g + 5*h = -255. Is g <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/(-42)*590\/(-75) and -26\/231.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 1 - 9. Suppose -3*z + d = -14. Find the first derivative of 7 - z + 0*f + 0 + 2*f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 83652 and -725429.\nAnswer: -641777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 - 2*s - 1. Let j be x(-1). What is the second derivative of 2*z**2 + j*z**2 - 7*z + 0*z**2 wrt z?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -323 by -41671.\nAnswer: 323\/41671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05011 and -1800576.\nAnswer: -1800575.94989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/(-3)*12\/10)\/2. Let d be ((-20)\/(-16))\/(5\/t). Solve d*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (3 - (-6 + 1 + 3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*g + 378374 = -688211, 0 = -g + 5. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.27, -1?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/2 - 16\/3. Factor -1\/6*l**5 + 0*l**4 + 0*l**2 - x*l + 1\/3*l**3 + 0.\nAnswer: -l*(l - 1)**2*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70477 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0 + 6*j + 0*j**3 + 0*j**4 + 1\/10*j**5 - 2*j**2. Differentiate v(x) wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -556, -4519, -15264, -36181, -70660, -122091?\nAnswer: -193864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 13*k**2 - 7*k + 13. Suppose -7*r + 4*r = -42. Let g be m(r). Let u = -59 + g. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*a - 49*a - 3 + 23*a + 3)*(-12 + 2*a - 8*a + 5*a).\nAnswer: 131*a**2 + 1572*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (1 - -1) + (10 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/35574 and 87\/242.\nAnswer: 35574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4747, -4, -12, -2 in increasing order.\nAnswer: -4747, -12, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52148*c + 2*z - 52 = 52150*c, -5*z = c + 8 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by 49?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1028.4 + 1028.9. Let z = 1 + -2. Which is the closest to -2? (a) x (b) z (c) -2\/3 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, d: 5, h: 8}. What is prob of picking 2 d and 2 h?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*j**4 + 8*j**3 + 76*j**2*s**2 + 11808828*j*s**2 wrt j?\nAnswer: -948*j**2 + 48*j + 152*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 12. Suppose 5*q = -v*s + 5*s + 8, 2*q = -4*s + 12. Solve 3*y = q*z + 4, 7 + 2 = 3*z + 3*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**7\/2520 + v**5\/60 + 3*v**2. Let p(o) be the third derivative of f(o). Let x(a) = 2*a. Give x(p(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(7\/5)*x*x**(-1\/5))\/(x**7\/x)**(-27) assuming x is positive.\nAnswer: x**(826\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22565 + 59608. Suppose 0 = -7*q - 10*q + b. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/90 + (-280)\/252?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0*(-3)\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/(2\/(-249)). Let i = u - 75. Let r(w) = w + 14. What is the least common multiple of i and r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.196, -6\/7, 5 in descending order.\nAnswer: 5, -0.196, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -35.674+3749146\nAnswer: 3749110.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 3:10 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 3, 283, -5, -4.7, 0?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 2*t**5\/15 - t**4\/8 + t**3\/6 - 8*t**2. Let v be d(-3). Suppose 0 = 2*b - 26 - v. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**6\/10 - 3*l**4\/4 + l**3 + 21*l. Factor k(u).\nAnswer: 3*u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/110 and -27\/1490990?\nAnswer: 16400890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 4. Let k(q) = -q + 5. Let j be k(8). Let f be b(j). Solve -13*h**5 - 2*h + 8*h + 6*h**4 - 2 - 4*h**3 - 4*h**f + 11*h**5 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2475 (base 12) in base 4?\nAnswer: -1000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 85*h**2 + 160*h + 700.\nAnswer: 5*(h - 14)*(h - 5)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37076 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 + -3. Let v = 1837\/5 + -368. Put v, u, -1, 4\/5 in ascending order.\nAnswer: -1, v, u, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 184\/25, -6, -1, 0.4, -43?\nAnswer: 184\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (3 - (-2 + 9 - (19 + 0))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357410227?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/2027589?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -6 (b) 0.5 (c) 12 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-165)\/10*2\/3. Let k = 21 + l. Suppose 72 = 5*z - 2*i, -2*z + 3*i + 48 - 17 = 0. What is the lowest common multiple of z and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j + 12. Let d(g) = 26*g - 398. What is the smallest common multiple of -14*2\/(2 - j) and d(16)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18794 + -1634a?\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 3*t - 3*t + (0*t - 3*t + 5*t)*(-1 - t + 1) - t**2 - 3*t**2 + t**2 - 40 + 40 + 14*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -0.00195\nAnswer: 2.99805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-72)*-12)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from beebeeeeeeeebbbeebe.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z - 3. Let c(h) = 3*h**2 + h - 3. Let y(v) = v + 1. Let w(j) = z*c(j) - y(j). What is the derivative of w(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-12)*105165351\/50. Let h = x - 1753372. Let c = 615 + h. Calculate the common denominator of -61\/8 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2. Let v(k) be the third derivative of 0*k + 0*k**3 - 31\/24*k**4 - 11*k**2 + 0. Give m(v(l)).\nAnswer: -2883*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2 + 636*c - 4 - 634*c - 2075*c**2. Let b be o(1). Let d = b + 925. Round d to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 1:09 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15102)\/(-249)*(-11084858)\/28. Let j = -48021683\/2 - c. Let n = 85\/83 + j. Calculate the common denominator of n and -131\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 4*t + 18. Let a be y(7). Suppose 37*o - 90800 = a*o. What is o rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9923 + 9929. Let z = -95\/7 + 13. Which is the second biggest value? (a) 1\/4 (b) j (c) z (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25da9 (base 15) to base 9.\nAnswer: -204236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -6788?\nAnswer: -2036.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.3 - -0.3. Let u = 8 + i. Sort 0, 2\/3, u.\nAnswer: 0, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5101 divide 76912878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2696*y**2 + 2 - 2.\nAnswer: 2696*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23093 - 12929. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -30, -6, 18?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2906389460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121)*-2 + sqrt(121))\/sqrt(11) - sqrt(77)\/(sqrt(28)\/sqrt(4))) + -5)**2.\nAnswer: 20*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -82, -79, -74?\n\"Answer: s**2 - 2*s - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 27. Calculate the greatest common factor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/456 and 17\/122143989.\nAnswer: 977151912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 15. Suppose -3*n + d = n. Solve 3*r - n*i + 4*i - 14 = 0, 2*i - 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/((w\/(w**5\/w)*w)\/w))*w**(5\/2)*w*w*w**(-1\/5)*w*w**(7\/3)*(w**(-2))**(-29)*(w**(2\/3))**(7\/8) assuming w is positive.\nAnswer: w**(3793\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 25. Let h(z) = -z - 3. Let u be h(-6). Suppose -2*o = p*r - 50, o = -2 - u. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*h + 2*h**2 + 3*h + 29*h + 94 + 0*h as k*h**2 + q + c*h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/14))**(-12)*g\/(g*g**(-12))*g**22 assuming g is positive.\nAnswer: g**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61378, -122728, -184020, -245224, -306310?\nAnswer: -367248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 + 6*y**3 + y**2)*(1299*y + 147*y - 779*y + 2275*y) in the form r*y**2 + g + h*y + f*y**3 + z*y**4 and give z.\nAnswer: 17652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6119*x**3 + 4*x**2 + 12070*x + 2.\nAnswer: -36714*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 40, 2222 in increasing order.\nAnswer: -2, -1, 40, 2222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 853 + -851. Solve p - 3*p = -b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 2, z: 1, m: 1, q: 1, w: 1}. What is prob of sequence woq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1)*231\/14. Let l be (-5943)\/t + 4 + 1. Let y = l - -19799\/110. What is the common denominator of 77\/6 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 4)*(-6*g + 9*g + 6*g)*(172*g + 106*g - 103*g) in the form n*g + z*g**2 + f and give z.\nAnswer: -3150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 637684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 869 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = -8. Let a be (-144)\/27*6\/f. Suppose -2*o + g = -4, -o - 3*o = -4*g - a. Which is smaller: -1\/3 or o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 5*f**2 - 4*f**2 + (-1 + 1 + 2*f)*(-2*f + 2*f - 2*f) - f**2 + 0*f**2 + 3*f**2 + 3*f**2 - 5*f**2 + f**2 in the form j*f + p*f**2 + g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 10*h + 54 + 47 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d - 71 = 3*o, -5*d = -2*o + 476 - 480 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:01 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 678975 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**3 - 38*f**2 + 7*f + 16. Give i(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21596951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29282480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -9*v**5\/4 + 144*v**4 - 2585*v**3 + 9060*v**2 + 26816*v + 13056 = 0.\nAnswer: -4\/3, -2\/3, 8, 24, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 16*f + 51. Give x(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) -0.02 (c) 20 (d) 1\/5 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 381 and 4210050?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 3 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 233762.1m in centimeters?\nAnswer: 23376210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 7*a**2 - 5*a + 4. Let k be v(4). Sort k, -3, -1.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -22 (b) 0.4 (c) -14 (d) -1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p, -v - 55 + 311 = -2*p. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 459 - 3667\/8. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9*6 - 0. Suppose 2*c = -n*t - 8, -3*c = 2*c + 2*t + 5. Sort c, -5, -6 in ascending order.\nAnswer: -6, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63261 - -34?\nAnswer: 63325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -159, 1 in descending order.\nAnswer: 1, -8, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, -3.5, 12, 6 in descending order.\nAnswer: 12, 6, -0.3, -3.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 154. Suppose -5*u + b = -u. Let a be 12*(-2)\/(-24)*3. Solve -3*k = 3*g - u, -a*k - 4*g + 21 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose -p*c - 2*c - 10 = 2*s, -s - 4 = c. Is 2 - (-18 - (c + 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 16*l**3\/3 - 11*l**2\/2 - l + 13. What is the first derivative of z(t) wrt t?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3. Let r(z) = -z - 16. Let m(f) = 11*i(f) - 2*r(f). Calculate m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25535639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:55 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 13) in base 11?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1065319426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4 + 4 + (1 + 3 - 3)*(3 - 3 + 2*f) + (4 - 1 - 1)*(-5*f + 5*f + f))*(157*f**4 - 90*f**4 + 174*f**4).\nAnswer: 1446*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*f - 3*a = -430*f - 17318, -2*f - a = -8662. Does 177 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/111 and -83\/45543.\nAnswer: 1685091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 876 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 9, -39*x - 3 = 7*o - 40*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1245\/(-255) + (-15)\/(-3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 24*t**2 + 3323*t - 1783. What is n(-139)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykj when three letters picked without replacement from {a: 1, k: 1, y: 1, j: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*k - 8*k + 34*k + 5*k as o*k + l and give o.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**8\/504 + 49*m**7\/45 - 23*m**6\/6 + m**2 + 60*m + 1. Factor b(j).\nAnswer: 2*j**3*(j - 2)*(j + 345)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -19. Put 2\/3, 0.02, p in increasing order.\nAnswer: p, 0.02, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1659*f + 375*f - 1098*f + 268*f - 38052 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68484 or 68483?\nAnswer: 68483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x - 11*x - 2022000. What is x rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171971, -171972, -171973?\nAnswer: -171974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6658569 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 25*r**4\/12 + 2*r**3\/3 + 8*r. What is the units digit of u(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(75) + sqrt(75)*5 + sqrt(75))**2 - (2*(sqrt(75) + 0))**2.\nAnswer: -11325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46356732 and 2706.\nAnswer: 509924052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 11*x**2 - 11*x - 12. Let n be v(12). Suppose o + 4*o = n. Suppose 0 = 3*k - o - 9. What is the remainder when 4 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 460 = 6*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 5, 11\/384?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k + 364 = 3*b, 656 = 5*b - 4*k. Suppose -4*h + 0*h + b = 0. Suppose -f + h + 6 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 83*j + 0 - 2 - 86*j. Let c(f) = f**2 - 4*f - 3. Let z(d) = -3*c(d) + 4*i(d). Determine z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1746 + 1756. Let b be 80\/28*14\/2. What is the greatest common factor of t and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 29. What is the tens digit of s\/4*126\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 14*u + 14. Let c be j(-5). Let i = c + -30. Suppose -170 = -2*a + 2*w, 0 = -i*w - 10 - 10. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(-5 + (sqrt(3872) + 0)**2 + 5)*4.\nAnswer: 61952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/5 + 1698638*s\/5 - 849318\/5.\nAnswer: -2*(s - 424659)*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 0.215.\nAnswer: 4.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -33. Let q(r) = -8*r + 3. What is the remainder when q(-3) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 288115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkxb when four letters picked without replacement from {k: 3, n: 3, r: 3, b: 3, e: 2, x: 1}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -611e3 - -3e?\nAnswer: -611a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) -1 (b) -0.8 (c) -4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*3*(-13)\/78?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/1853 (b) 4 (c) 57 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074\/5 greater than 214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (0 + 1) - (386 - 391)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*j**4 - 612*j**3 + 2496*j**2 - 256*j.\nAnswer: 2*j*(j - 8)**2*(19*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(18\/(-4) + 4). What is the second derivative of j + 2*j**2 - 6*j + j**g + j wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 + 12*u + 796. What is h(-13)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**2 + o. Suppose x - 2*m + 0 = -5, -4*x + 4*m = 0. Suppose 11*a + x = 12*a. Suppose 4*c + 9 = a. What is u(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1873488582 and 3794?\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -49*c + 11*c. Is -1\/458 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3\/10 (b) 0 (c) 1 (d) -5 (e) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6838 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from xxjjxxaxajmx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 311977381 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - -3 - 4\/2. Suppose 2*h = -3*v - 8, -3*h - v = -2*v + 34. Find the common denominator of 32\/9 and k\/h*185\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378154, -1512592, -3403322, -6050344, -9453658?\nAnswer: -13613264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-924)\/(-238) + (-4)\/(-34). Put b, 3, 32, -5 in descending order.\nAnswer: 32, b, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 2*d + 14, 0 = -5*f - 5*d - 15. Suppose f*a - 3556 = -2*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 2850.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 2*i**2 - 4*i + (5*i + 5*i - 5*i)*(-i + 0 + 0) - i**2 + 0*i**2 + 3*i**2 as l*i + t + r*i**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 15*q**3 + q**2 - 2*q + 1. Let g be b(2). Let j = -1182 + g. Round j to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7685496 and 2639?\nAnswer: 222879384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1759 divide 118604037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201431 is divided by 980?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 40*h**2 + 19*h - 28. Is p(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-616)\/16)\/(-11))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137\/8 < 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 26*l**2 - 3*l - 51. Let u be d(-13). Let x be 1*(-4)\/16 + (-27)\/u. Find z such that 2\/9*z**3 + 14\/9*z + 10\/9*z**x + 2\/3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*t + 108*t - 70. Put -66, -1, t, 2 in decreasing order.\nAnswer: 2, -1, t, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547814401 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-45) - ((-38)\/9 + 0). Suppose 2*t - t = w*i + 11, 0 = 5*t - 2*i - 19. Solve 2*q = -3*q + 10, q + 13 = t*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2287 and 6727 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(7 - (-636)\/(-90))*888\/777?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -448.198987 rounded to two decimal places?\nAnswer: -448.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(sqrt(2200)*-2 - sqrt(2200)))\/(-2*(sqrt(396) - (sqrt(396) - ((sqrt(396) - 2*sqrt(396)*6) + sqrt(396))))).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {j: 10, w: 2, o: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 40 = 4*g. Suppose 3*m - g = a, -5*a = 2*m - 0*a + 12. What is the third derivative of -v**4 - v**2 + 3*v**2 + 0*v**m + 0*v**4 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -20*o**2 - 10*o - 1. Let f(l) = -20*l**2 - 12*l. Let r(h) = -6*f(h) + 7*m(h). Find the second derivative of r(p) wrt p.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 2*t**2 + 8*t - 66. Let p be s(4). Which is the third smallest value? (a) p (b) -12 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (11 + -37)) + -21 - -15?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*n + 308 = -432*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - k + 59 = 0, -105*k + 71 = -5*r - 101*k for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f = -162. Suppose 3*u - f = -3*m, u = 5*m + 2*u - 131. What is the remainder when (1*(-1 - -51))\/1 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -28. Let c = 11537\/6 + -1945. What is the common denominator of c and (-2)\/(-4)*89\/t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 813 divided by -11548\nAnswer: -813\/11548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/60 - x**2\/2 + 4. Let n(a) be the second derivative of q(a). Let f(k) = k**2. Determine n(f(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1.7?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1110110111111101111 (base 2) to base 6\nAnswer: 14240303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*-4)\/(sqrt(60)\/(sqrt(5) + sqrt(5)*5)).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 15 = 5*f, -9*f - c + 15 = -4*f. Let y(d) = 4*d**2 + d. Let n be y(-1). Suppose x - n - 6 = 0. Calculate the remainder when x is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**4 + 0*q**4 + 2 + 2*q**3 + 2*q**4 + 2*q**2 + 5*q**4 to the form w*q**3 + y + h*q**4 + t*q**2 + o*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, 0.1, -1\/2, 5 in descending order.\nAnswer: 5, 0.1, -1\/12, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2) + 0 + -1*(sqrt(2) - sqrt(32)) + sqrt(2))**2 - ((sqrt(20)*-1*3 - sqrt(20) - sqrt(20))\/(sqrt(10) + 2*(2*sqrt(10) + sqrt(10))))**2.\nAnswer: 40*sqrt(2) + 3184\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.4*-1267.\nAnswer: 18244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let o(z) = -87*z - 34. Let m be (15\/(-30))\/(((-10)\/(-24))\/(-5)). Let v(d) = 29*d + 12. Let f(w) = m*o(w) + 17*v(w). Calculate g(f(j)).\nAnswer: 29*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1838505 by -26645.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/260 and 51\/78520?\nAnswer: 78520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 8*t - t. Suppose 9*p - 6 = t. Solve -p*y + 8 = 5*k - 11, -2*k + 14 = 4*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76\/17 - 135\/34. Let w = 2009 - 24055\/12. Let r = w + -17\/4. Sort r, -0.4, 2\/7, j in descending order.\nAnswer: j, 2\/7, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 132*w - 957. Is 5 a factor of q(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1548 and 3636768?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14523554 is divided by 18361.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209756 and 492.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*d = d - 62, w = -2*d + 37. Let h = -19 + w. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 18, g: 2}. Give prob of sequence aa.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -232 + 183. Let l = -46 - i. Which is greater: l or 1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 428967 and 924?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**2. Let g(j) = -15041734*j. Give f(g(u)).\nAnswer: -1583776332087292*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + 4 + -5 + (-2 + sqrt(242))*3.\nAnswer: -9 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -10401222?\nAnswer: 10401241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3261 divided by -21672\nAnswer: -1087\/7224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001875247766 rounded to seven dps?\nAnswer: 0.0000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79\/235 + -3\/47. Let f = -3.437 + 1.437. What is the second smallest value in f, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 + 6 = 0. Let a(x) = -x**3 + 7*x**2 - 6*x. Let h be a(i). Let f(d) = -d**2 + d + 4. Let s be f(3). Sort -6, s, h in decreasing order.\nAnswer: h, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h - 5*h + 5*h + (0 - 4 + 3)*(0*h + 0*h - h) + 12598 + 12*h - 12598)*(8*h**2 - 3*h**2 - h**2) in the form c + d*h + u*h**2 + i*h**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(405)*3 + sqrt(405) + sqrt(405) + sqrt(405)*-3 + 2 - (1 + sqrt(405) + -3 + -2))**2 + 2.\nAnswer: 1728*sqrt(5) + 103718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249990844 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-15)\/(-2)))\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2614767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01133 rounded to four decimal places?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11330 + -2031?\nAnswer: 3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 34621 and 34620 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 1. Let a be d(0). Solve -2 = -3*y + a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 2, y: 4, c: 6, z: 7}. What is prob of picking 2 x, 1 c, and 1 b?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**6\/120 + 19*f**5\/60 + 3*f**4\/8 - 7*f**3\/2 + 3629*f**2. Let a be 2\/7 - (-256)\/(-14). Is h(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*k - 3*i, -2 = -5*k + 719*i - 720*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 373 * 0.4.\nAnswer: 149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 309 + -309.2. Suppose -l - 6 = -3*l. Let d be 2\/((-6)\/15) + l. What is the nearest to 1\/3 in m, d, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/7)*p)*p**(-9)*p)**(-31)\/((p\/(p*p*p**(-6)*p*p*p))\/(p*p**(-2\/9))*p**(1\/3)*p*p**(-2\/7)*p) assuming p is positive.\nAnswer: p**(15697\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -64. Let y = s - -102. What is the remainder when y is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 246 + -249. Suppose -5*f - 27 = -7. Let v = 0.8 - 1. Which is the closest to v? (a) 0.2 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 5*h. Let z be (2 - (-8)\/(-6))*3. Suppose z*m = -m - 9. Give w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53.26 + -44. Let l = -0.036 + 8.236. Let g = l - c. What is g rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -473 + 468. Which is the second smallest value? (a) -0.4 (b) 3 (c) r (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220002012102 + -12?\nAnswer: -220002012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 2:03 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsoz when four letters picked without replacement from zszszuzuzzo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l**3 + l**3 - 8*l**3)*(4 - 3 - 2).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(2\/9)*n\/(n*n**22)*n*n**(-16)*n**(17\/5) assuming n is positive.\nAnswer: n**(-1477\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -16 - 48. Suppose q - a = -3*t, -2*q - 18 = -0*t - 4*t. Suppose j - t = -5*c, 2*c + 0*c = 5*j - 25. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:44 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 256607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 286309\/22164 + -2\/1847. Let l = 489\/5 - 2201\/20. Let i = n + l. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 4, 2, -331, -1 in ascending order.\nAnswer: -331, -96, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614068 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386978 divided by -2138.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.114 minus -191864.30375?\nAnswer: 191864.18975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 + 138. Sort -6, p, -4, 1 in descending order.\nAnswer: p, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20022 (base 3) to base 5\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2063 + -1433. What are the prime factors of h?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*p**3 - 229*p**3 + 0*p**2 + 0*p**2.\nAnswer: 29*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p - 58*p - 4*p - 58*p.\nAnswer: -172*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/3 - 11*f**4\/3 + 16*f**3\/3 - 7*f**2\/3.\nAnswer: f**2*(f - 1)**2*(2*f - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79288997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 18, 6, -21\/16?\nAnswer: -21\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:30 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55595, 111207, 166821, 222443, 278079, 333735?\n\"Answer: w**3 - 5*w**2 + 55620*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1163 + -160. Let n = b + -2258. Is n\/(-5) + -1 + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -0.6. Which is the third biggest value? (a) 13 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 24. Let t(u) = -2*u + 5 + 3*u + 2*u + u**3 - n*u**2 - 6*u. Let j = -1592 + 1598. Calculate t(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 0.4 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 - i**2 + i + 1. Let s be (-2)\/7 - 10\/14. Let h be u(s). What is the units digit of 8*h\/12*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*n - 19 + 26, 0 = 3*m + n - 46. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5220, -10479, -15738, -20997?\nAnswer: -26256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*s**2 + 21798*s**3 - 21792*s**3 + 51*s**2.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 17*q + 28. Suppose 5*j + 2*m + 79 = 0, 4*m + 68 = 4*j - 8*j. Let u be v(j). Let i(w) = w**2 + w - 2. Give i(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + z + 3*z)*(5 - 1 - 2)*(3*z + 1 - 1 + (-2*z + 0*z + z)*(1 - 2 - 1) + 2*z + 3*z - 3*z + 9 + 6*z - 9) to i + j*z**2 + u*z and give j.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4832708000 rounded to the nearest 1000000?\nAnswer: 4833000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, -1, 3\/8, 2, 2.6?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:30 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 204499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1928\/(-244) + 4 + 4)*1153\/2306?\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/(-25) - 24\/(-40). What is the closest to 3 in -3\/8, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i + 12. Determine x(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.44 + -2.54. Suppose -s + 2*m + m + 14 = 0, 5*m = 4*s - 35. What is the nearest to 1\/4 in r, s, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**5 - 57*t + 57*t + (4*t**2 - 5*t**3 - 4*t**2)*(21 + 4*t**2 - 4*t**2 + t**2).\nAnswer: -10*t**5 - 105*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/2 - -4)\/((-2)\/(-32)). Suppose 20*x = i*x - 140. Find c such that -4*c + 78 - 66*c - 235*c**2 + x*c**3 - 78 = 0.\nAnswer: -2\/7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 22427 = -442. What are the prime factors of p?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 6 = -j + g, -4*g - 12 = 0. Let c(h) = -7*h - 2 + 6 - 2 - 2*h**2. What is c(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -1 - ((-7 - (3 - 12)) + 9)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.93 + 0.03. Let y = n - -3. Let m = -91\/150 - 3\/50. Which is the nearest to 0? (a) -0.2 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 19*a**2 + 40*a + 28 = 0.\nAnswer: -7\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23704889 is divided by 117?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17186 + 11677 = 27*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -146475 - -3?\nAnswer: -146472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.373 - -164.373. Let x = -162.69 + a. Round x to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - (-39)\/(-2). Let m be ((-6)\/p)\/((-6)\/(-8)). Let l(a) = 1003*a - 1003. Let j be l(1). What is the closest to m in 1\/3, j, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.03 (c) -5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x - 6. Suppose 113 = -x*c - 10. Let g = c - -137. Is g a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -4\/7 (b) -46\/3 (c) -168.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m - 209. Determine o(16).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038508428 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -12.4. Let y = f - -12.01. Let x = -0.41 + y. Which is the second biggest value? (a) 1 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*a + 113, a + 36 = -0*a + 2*m. Let n = 17 - a. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -9, 2 - 17 = 2*n - u. Let y be (85\/15 + -3)*n\/(-4). Let r be -3 - (y + -2) - 1 - -4. Let v(z) = -z - 5. Calculate v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35967*m**4 + m**2*z**2 - 296342*z**2 with respect to m.\nAnswer: 143868*m**3 + 2*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149 - 59. Let l = 168 - b. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 4. Let s = 211.02 - 213. Let j = s + -0.02. Is j < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -26*k**2 + 6. Let g(s) = s. Calculate g(l(q)).\nAnswer: -26*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372 and 24810974.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = -23 + 142. Let m be 1\/((-246)\/(-244)) - i\/7. Is -1 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 73113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1514 = -2*z, -4*z - 5*b + 1259 = -1704. What are the prime factors of z?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -32 (b) 101 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 209448.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -1\/9*q**3 + 1 + 1\/6*q**2 + 2\/3*q. Factor k(m).\nAnswer: -(m - 2)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*16\/18*3. Let s be -2*-18*-1*4\/(-16). Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoyqgyyqy. Give prob of sequence oyyo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -28*n**5\/9 - 176*n**4\/9 + 932*n**3\/9 - 1064*n**2\/9 + 176*n\/9 + 160\/9 = 0.\nAnswer: -10, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*b**2*t**3 + 89*b**2*t - 63*b*t**2 + 273*t**3 - t wrt b?\nAnswer: -28*t**3 + 178*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zorz when four letters picked without replacement from {r: 1, o: 2, z: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 4*o - 1540 = 0. Calculate the greatest common divisor of 84 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/7, -1, -2 in decreasing order.\nAnswer: 1, 1\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47559 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 845445847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697?\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) - (sqrt(50) + sqrt(50)*-2)\/sqrt(10)) - (-1 + sqrt(363) + -1).\nAnswer: -21*sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3432 and 330.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 5*h + 5. Let u = -34 - -47. Suppose -14*w + 6 = -u*w. What is b(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1404, 206, 0.01, 4, -0.6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-4))\/((-35)\/140)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4591*c**2 - 14*c + 59. Let q be z(3). Round q to the nearest one hundred.\nAnswer: -41300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3079 + -3080. Which is the nearest to -0.1? (a) 1\/3 (b) v (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5513, 11033, 16553, 22073, 27593, 33113?\nAnswer: 38633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/21 and -107\/1638.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -526698*l**2 - 55*l - 198608836?\nAnswer: -1053396*l - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36666 (base 9) in base 6?\nAnswer: 305523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 20. Let p be v(-20). Let r(f) be the first derivative of 0*f**2 + p*f + 1\/2*f**4 - 2 - 2\/3*f**3. Factor r(n).\nAnswer: 2*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -1)*-3 + -4 + (sqrt(405) - (sqrt(405) - (sqrt(405)*-1 + sqrt(405)))) + sqrt(405))**2.\nAnswer: 36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 96, 151, 208, 267, 328?\n\"Answer: z**2 + 52*z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose -z - 7 = -c*z. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17525924?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loztdzdtzzti. What is prob of sequence id?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 477798 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 3 + 54*i + 88*i + 11 - 141*i.\nAnswer: i + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(175)*1*1)**2 + sqrt(175)*2 + 3 + -5) + 2.\nAnswer: -517 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1 + 2 + 754\/(-174)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/22 + (-320)\/(-55) + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201357.\nAnswer: 3, 13, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55795, 55801, 55811, 55825, 55843?\n\"Answer: 2*k**2 + 55793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {w: 5, b: 5, m: 2}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 + -65. Let f be (-36)\/y*(5\/(-6) - -2). Sort -2, f, 29 in increasing order.\nAnswer: -2, f, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j - 152218 = -42*j + 25292. Calculate the remainder when j is divided by 1800.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/6 + 8*o. Let y be (-2)\/8 + (-27)\/(-12). Let z(t) = -4*t + 0*t + y*t. Calculate d(z(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 16431 = 12830. Suppose 0 = -8*g + 1391 + k. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4 - 72133*z**3 + 2955772*z**2 = 0?\nAnswer: 0, 41, 72092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337015992?\nAnswer: 2, 3, 101, 139033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 22*v**2 + 76*v + 104. Determine y(25).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(2\/7)\/y))\/y*y*y*y**(-1\/5)*y*y*(y\/(y\/y**(2\/15)))\/((y*y**7\/y)\/y)*(y*(y\/y**(-3))\/y*y*(y*y*y**0*y*y)\/y*y)**(2\/55) assuming y is positive.\nAnswer: y**(-29\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 15) to base 13.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/(8\/(-2 - -6)). Suppose -3*l = -3*k - 2*k - 22, 4*l = 5*k + z. Let h be (-1)\/(-22)*(0 - -2). Is l less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3507*2.05.\nAnswer: 7189.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2483 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 30*s**2. Suppose -4*w = 3*w - 7. Let q(o) = -1846*o**2 + w - 1 + 1845*o**2. Give p(q(n)).\nAnswer: 30*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 146 = -286. What is the highest common divisor of i and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/183 equal to -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 16539733, -1\/8?\nAnswer: 16539733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 299\/468 + (-90)\/(-81) + -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -41.8.\nAnswer: -41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + j - 4276 = -4277, -14*j = -29*x - 15*j - 65 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2464, 4910, 7356?\n\"Answer: 2446*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -0.1, -1, -2, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, d: 15}. What is prob of sequence dd?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 6*j**2 - j + 2. Determine q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 211*l**2 - l + 1. Suppose 0 = 4*o + o - 5. Let q be b(o). Suppose 5*m - 54 = q. What is the remainder when m is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(35) + sqrt(35)) - sqrt(35))\/(sqrt(7) + -2*sqrt(28)).\nAnswer: -11*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082004 divided by 6?\nAnswer: -180334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*q - 2*b = -124*q - 5, -3 = -3*q - 2*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(5445)*2)**2*-1 - (2 + -2*sqrt(80)*-1)).\nAnswer: -21780 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15641 is divided by 198?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 28. Suppose 0 = -2*s + v*s. Let n(t) = t**3 + t**2 - 4*t + 3110. Let j be n(s). Round j to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -364*(-2 - -1 - -51). What is f rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007860137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/49 - 880\/(-336)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005704915 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 - -214. Let r be (6\/(-4))\/((-18)\/o). What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-93 - 5))\/(5\/(1860\/(-8))) - 7?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-35\/3)*v*v\/(v*v**(-1\/3)\/v)*v)\/(v\/(v**11*v))**24 assuming v is positive.\nAnswer: v**(767\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4207.84 to the nearest 10.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/24 + 4*j**3\/3 + 763*j**2. Suppose -10 = 4*u + 4*l + 10, 1 = -l. Calculate m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2819*w - 2839*w + 5622*w.\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11770286081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245130 - 2015?\nAnswer: -251145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3385*x + 1697*x - 375*x - 3605*x.\nAnswer: -5668*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*w = 2 + 8, 0 = 4*l + 4*w + 28. Let i = l + 7. Suppose 0*q - 150 = -i*q. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 10*d**2 - 13*d - 8. Let h be t(12). Suppose 4*c - h + 132 = 0, -c = -4*z + 4898. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32820996 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30767190?\nAnswer: 2, 3, 5, 31, 33083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.269 - 0.\nAnswer: -0.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/9 - 7*h**2\/3 + 20*h\/9.\nAnswer: h*(h - 20)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1856 = -13*v. Suppose -4*t - v = -q, 2*t + 632 = 3*q + 6*t. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 64584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94 and 5764.\nAnswer: 270908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 + v + 1. Let g(n) = -n**2 + 5*n + 4. Let i be g(5). Suppose 0 = o - 4*q + 1, -o - i*q - q = 1. Determine c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) -2 (b) 1\/5 (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9708\/11 or 0?\nAnswer: -9708\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/40)\/(0 + 1\/(-25)). Suppose m*d - 13440 = -15*d. Is 35 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j*j*j*j*j*j**(-2\/11)\/j*j*j*j))))\/(j**(2\/9)\/j*j))\/(j**(1\/7)\/((j\/j**(1\/5))\/j)))\/(j**(4\/9)*j*j**(-3\/4))**(-1) assuming j is positive.\nAnswer: j**(-78847\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 513 + 4402322?\nAnswer: 4403235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 342626 = -p, 1370531 = 4*t - 10*p + 15*p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/7 + 2*m**2\/7 - 8*m\/7 - 8\/7 = 0. What is m?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9477089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from idmodfpdfdoo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137617*c**4*o**3 + 2*c**4 - 8*c*o**3 - c*o**2 - c - 192*o**3 + 7 wrt c.\nAnswer: -1651404*c**2*o**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 577 + -394. What are the prime factors of f?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 1011332013?\nAnswer: -1011332001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 558 and 1324171386?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((120\/46)\/(-5))\/((-27)\/((-351)\/(-26)))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 - 1461*q - 19517. What is b(305)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose y + s - 5 = 0. Solve 0 = -5*j - 2 - y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111551 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61 - 11 - 126)*((-259 - 19*d + 259)*(-2 - 2*d + 2) + (0*d - 3*d + 2*d)*(d + 0*d + d) - d**2 - 3*d + 3*d) in the form q + y*d + l*d**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*r - 137*r - 151*r - 1437 + 37537 for r.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 7. Calculate the remainder when p is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -15\/5464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 2*q)*(-2*q**3 - 1 + 1) + (97*q + 23*q**2 - 97*q)*(-4*q**2 + q**2 + q**2).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3369094 and 31\/198182.\nAnswer: 3369094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 8*t**2 + 18*t + 18. What is a(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 11*c + 6. Let j(o) = 1. Let s(v) = -6*j(v) + k(v). Let t(d) = 2*d. Let q(f) = -2*s(f) + 11*t(f). Let g(a) = -a**2. Determine g(q(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 0*l**2 - 1 + 6*l**2 - l + 1. Let x(d) = 4*d**3 + d. Let k be x(-1). Is 10 a factor of s(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dso when three letters picked without replacement from {d: 5, o: 1, s: 3, x: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -1\/75*i**5 + 0 + 0*i + 0*i**3 + 0*i**4 - 8*i**2 - 1\/150*i**6 + 1\/420*i**8 + 2\/525*i**7. Determine m so that j(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/3 (c) -8 (d) 58 (e) -4\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2. Let n(j) be the third derivative of 2*j**4 - 10*j**2. Determine n(s(f)).\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a + 17*a + 55, -54*a + 15*a + 21*a = -3*d - 14*a + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4760*t + 1189*t - 2073*t in the form r*t + z and give r.\nAnswer: -5644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*1*(0 - 1). Let s(x) be the first derivative of 5*x**2\/2 - x - 5. Is s(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -289, 0 in descending order.\nAnswer: 0, -6, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f27a3 - -5?\nAnswer: 7f27a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*k**3 - 1746*k**2 + 30*k + 1001 wrt k.\nAnswer: 408*k - 3492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605529 divided by 67281.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 5*t**2 - 18. What is j(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35695 and 7935323.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10687*y**4 + 10687*y**4 + 47*y**5 + 3*y**2 - 3*y**2 - y**5 + (-3*y**2 + 3*y**2 + 2*y**4)*(3 - 3 + 2*y).\nAnswer: 50*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -8 - -49 - (20 + -3)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aix. Give prob of picking 1 x and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-64))\/((-1)\/(-2)). Let f = 13\/4 - 3. Put 13, -2, f, v in descending order.\nAnswer: 13, f, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 0.4, -1660, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 + 4.9. What is the biggest value in -2, 4, d, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6583*a*b**3 + 3*a*b**2 + 9*a*b - 5*a - 17*b**3 - 629*b wrt b.\nAnswer: -39498*a*b + 6*a - 102*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 11}. What is prob of picking 3 r and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**5\/30 + 2*y**4\/9 - y**3\/9 - 4*y**2\/3 + 20*y - 32. Let t(b) be the first derivative of i(b). Factor t(k).\nAnswer: 2*(k - 1)*(k + 1)*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 - (6 - 5) - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 5*x**4 + 25*x**3 + 0*x**2 - 15*x**2 + 38*x**2 + 12*x**2 = 0. What is x?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - 813172?\nAnswer: -813204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 6*i**2 - 10*i + 4. What is s(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 3*q**2 + q**2 + 7*q. Let l(v) be the second derivative of -35\/6*v**3 - 30*v + 0*v**2 + 0. Calculate u(l(x)).\nAnswer: -2450*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 11. Solve -q*v = -v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4 - 3 + 12*u**2 - 3*u**2 + 9*u. Let t be 2*3\/(-6) - (2 + -5). Let m(f) = -4*f + 6 + 2 - 6 - 4*f**t + 1. Determine -5*m(n) - 2*o(n).\nAnswer: 2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-5\/6)\/h)*h**(6\/7)*h)**(2\/37))**(-1\/25) assuming h is positive.\nAnswer: h**(-197\/19425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 16 + 0*c + 5\/2*c**2. Let t(l) be the third derivative of l**4\/8 - 2*l**2. Give s(t(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 93.989?\nAnswer: 93.989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1053\/4 - 278. Find the common denominator of -43\/3 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 53*c - 752. Solve -4*x + 2*m = -c, -2*x - m + 2 = -2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-8) - 0)\/((-4833)\/(-716))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q**3 + 19*q + 178*q**3 - 2 + 2.\nAnswer: 236*q**3 + 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317325.25 plus -1?\nAnswer: 317324.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(1 + sqrt(7)))**2.\nAnswer: -384 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 252009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6094481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/10 and (1 - 0)*(-309)\/(-18).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 - 2554*r - 7700. Calculate s(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 6:51 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 9:34 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5037\/(-11753))\/(12\/(-7))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*4 + 2)**2*5 + 2.\nAnswer: 800*sqrt(13) + 104022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = 2*b + 29, 4*p - 13 = -b. Round b to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4423 - -53047\/12. Suppose 7*x = 12*x + 10. Find the common denominator of x\/2 + (1148\/24)\/7 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r - 1. Let x be w(-1). Suppose x*v - 15 = -3*v. Solve 6*h**3 - 3*h**3 - 10*h**4 + 5*h**v - 4*h**3 - 14*h**5 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*j - 42, -2 = 36*j - 35*j. Solve 5*w + 7 - v = -h, -7 = w - 5*h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(19\/2) - 2773\/(-893). Suppose 0 = -s + 5*h + 604, -4*h = -v*s + 584 + 1184. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*r - 116*r - 27*r**2 - 114*r + 339*r.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/18 - (-533)\/156 and -101\/42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -95*g - 5. Is a(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11340 divided by -270?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5cb7aa - ac?\nAnswer: -5cb867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575754692?\nAnswer: 2, 31, 43, 107981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 7*f - 8*f - 8*f - f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to 6\/425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -74*i + 443. Determine k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.1 + -23.28. Which is the nearest to -2\/9? (a) -1\/4 (b) -1\/8 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*a = 18 - 48, 0 = 2*c + a - 14. Let x = c - 7. Suppose 0*h - h + 2*q + 2 = 0, -4*q - 6 = -3*h. Solve g = -x - h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c**2 + 79*c + 90. What is the remainder when 5129 is divided by w(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k - 8 - 9 + 20*k + 3*k + 4.\nAnswer: 36*k - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -29*v - 22. Let t be f(9). Let b = t - -402. Calculate the greatest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 282 + -275. Let y be 6 - (-244)\/7 - (-1)\/t. Calculate the highest common factor of 205 and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3456, 6993, 10630, 14397, 18324, 22441?\n\"Answer: 5*h**3 + 20*h**2 + 3442*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 - -116. Suppose -2654 + 5854 = -20*j. Let y = j + l. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3233, -3178, -3071, -2900, -2653, -2318?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(160)*5 + sqrt(10) + sqrt(10)))**2 - (sqrt(242) + 1*sqrt(242) + -4 + sqrt(242))**2.\nAnswer: -530947\/242 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/78 + 5\/26. Let i be (-1)\/(-4) + 341\/(-84). Let f = i + 22\/7. What is the closest to f in 5, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:05 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, a: 2, l: 3, z: 2}. What is prob of picking 3 l and 1 a?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179740578.\nAnswer: 2, 3, 29956763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016956 to 6 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 126*s + 4067. Calculate the lowest common multiple of 15 and p(-55).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 + 24*r**3 + r**3 + 2*r**2 - 2*r**2 - 7*r**3 - 5*r**3 + r**3 + (3 - 3 + 2*r)*(-r**2 - 5*r + 5*r) - 2*r**2 + 2*r**2 - r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a**2 - 66*a - 826 wrt a.\nAnswer: -14*a - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 5083839.\nAnswer: 5083835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2739 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 - 4 + 4)*(-f + 0 + 0)*(103 + 2*f - 37 - 40) - 3*f**4 - f**4 - 2*f**4 to the form h + y*f**2 + n*f + b*f**3 + w*f**4 and give b.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74050, 78869, 83686, 88501, 93314?\nAnswer: 98125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(1 + 0 + -2). Suppose 0 = 44*g - 48*g - 8, -3*p = -g - 11. Suppose -c - 3*f - 3 = 0, -5*c + 2*f + 0*f = -2. Solve j*y + p*y = c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 + 12 = 0. Suppose -6*g - 74 = -c*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*t**2 - 2072*t**2 + 2657*t**5 - 3212*t**5 - 4841*t**5 wrt t?\nAnswer: -323760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.47 to one dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/((-2)\/(-888)). Let v = -2880 + 3191. Let q = l + v. What are the prime factors of q?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-20)*(-4)\/3. Let a be (l + -6)*3\/(-2). Let b(n) = n + 9. List the prime factors of b(a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 29*v**2. Suppose 0 = 5*r - 4*p + 2, 3*r + 19*p = 20*p + 3. Let w(y) = -2*y**2 + 5*y**2 + y**2 - 5*y**r. Determine m(w(q)).\nAnswer: 29*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 + -49. Calculate the remainder when a is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -3)\/(50\/(-10)). Factor 1\/5*b**4 + 3\/5*b**2 - c*b + 0 - 3\/5*b**3.\nAnswer: b*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 849*q**2 + q**3 - 22*q**4 + q - 3*q**3 - 427*q**2 - 407*q**2 wrt q?\nAnswer: -528*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 561002001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 8*m - 2*m + (-5*m + 4*m - m)*(3 + 0 - 5) + 0 - 5 + m + 3 to f + g*m and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/17)\/z)\/z*z*z*z*z**(-1\/3)*z)**(23\/3) assuming z is positive.\nAnswer: z**(2093\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(637))*5)**2*-2 + 6*(sqrt(637) - (sqrt(637) - (2 + sqrt(637))))*-1.\nAnswer: -31912 - 742*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 105*w**2 + 1479*w - 58029.\nAnswer: -3*(w - 29)**2*(w + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12261651 + 2134?\nAnswer: -12256514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 - (3 - (-121 - -11))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 14 = 4*r - 2*y, -2 = y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -288076 and 0.218.\nAnswer: -62800.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 6*c - 5. Let y be m(-4). Suppose 0 = 81*d - 80*d - 3*o - 8, 10 = 3*d + 5*o. Suppose 3*i - 4*i - 5 = 0. Sort d, y, i in descending order.\nAnswer: d, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 2*o**3 - 2*o**3 + 11*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 1)*(-4)\/(-8). Let t = 1 + j. Suppose 2*a + 8 - 50 = t. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 48. Give x(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/167 - 5549\/7014. What is the common denominator of j and -47\/420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*f + 48, 4*c + 0*c = -f + 2. Let p = 23 - f. Let g be (24\/p)\/(((-8)\/73050)\/(-2)). Round g to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.241, 2, -5.8 in increasing order.\nAnswer: -5.8, 0.241, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by ((-36)\/(-21))\/(0 + (-20)\/(-1330)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 476847335 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 92*i**2 - 89*i - 568. Give h(-91).\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w + 5*b + 391 = 0, 409*b = -w + 412*b - 2 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005178.\nAnswer: 2, 541, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 4*p + 3*j - 24, -j + 9 = 4*p. Suppose 608 = 4*a + 4*s, 8*a = p*a + 3*s + 776. List the prime factors of a.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 24. Let f be b(19). Let h be (-1)\/4 + f\/(-4). Let y be ((-6)\/8)\/((-36)\/64). Put 0.5, h, y in decreasing order.\nAnswer: y, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(4*g + g - 3*g + (-1 - 2 + 5)*(g - 1 + 1))*(25*g**3 - g**3 + 0*g**3).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -676 * 946\nAnswer: -639496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 926415, 1851590, 2776765, 3701940, 4627115, 5552290?\n\"Answer: 925175*p + 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/3 (b) 1 (c) -5 (d) 13 (e) 552\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12)*6*-1)\/(3\/(-18)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -30.3, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*s - 275, -5*s = -w - 3*w - 535. Let l = -39 - w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3115 = 7*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 603 by 8514.\nAnswer: 67\/946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t + 5. Determine n(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**6 - 74*z**3 - 9*z**2 - 733. Let p(n) = 5*n**6 - 37*n**3 - 4*n**2 - 365. Let b(l) = 2*j(l) - 5*p(l). What is the third derivative of b(h) wrt h?\nAnswer: -840*h**3 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.04 or 29?\nAnswer: -7.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4756655653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-5) + -1)*-2286. Let i = 391 + 69. Let d = t - i. Is d at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:57 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 228533 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182c033 (base 14) to base 5.\nAnswer: 11024120213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47 from 19.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -814 - -826. Suppose 4*t - u = -6*p, -2*p + 9 - 5 = -5*t. Factor -147\/2 - 21*d - 3\/2*d**p.\nAnswer: -3*(d + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 872097 and 1788.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -49478*s**5\/15 + s**4\/8 - s**3\/6 + 2*s**2. Let b be h(2). Let y = 1391643 + b. What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10063?\nAnswer: 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-9 - (-16 + -4 - -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -64\/1413, 15 in increasing order.\nAnswer: -4, -64\/1413, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 = 11*k - 8*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 6*d + 1. Let b(c) = 4*c**3 + c. Let v(q) be the third derivative of q**5\/60 - q**3\/3 + 16*q**2. Let x be v(1). Let r be b(x). What is u(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 96*c - 64*c + 29*c + 1 - 3 + 381*c.\nAnswer: 250*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 21 + 21. Let a(l) = 14*l**2 + 34*l - 17. Let p(t) = t**2 + 2*t - 1. Let g(k) = 6*a(k) - 102*p(k). Calculate g(n(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 15637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 5*r - 4*r)*(18 + 26 - 74 - 114).\nAnswer: 144*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -115, -28, 117, 320?\n\"Answer: 29*h**2 - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 8*a**3 + 6*a**3 + 7*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14324*r + 705 = 14309*r for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, z: 3}. What is prob of sequence rrzr?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5 - 5*d**4 - 9*d**3 - 7*d**2 - 2*d = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 105*h**2 + 4*h + 104*h**2 + 1. Let q(n) = 2*n**2 + 3*n - 12. Let b(g) = -q(g) - 3*r(g). Factor b(z).\nAnswer: (z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1. Let f(p) = -2*p + 3. Let u(w) = f(w) - 4*r(w). Let x be u(5). Let j(g) = 3*g + g**2 + 4 - 2 + 2*g. Calculate j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**6 - 11*v**5 + 2*v**4 + 50*v**2 + 1. Let o(x) = 2*x**4 + 1. Let d(h) = -o(h) + r(h). What is the third derivative of d(p) wrt p?\nAnswer: -360*p**3 - 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3964 + 23\nAnswer: 3987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*p**2 + 8 - 8)*((1 - 4 + 1)*(-1 + 2*p + 1) - 22*p + 162*p + 67*p) to the form z*p + t*p**2 + v + m*p**3 and give m.\nAnswer: 1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54765 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4726*y + 4722*y - 24 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 - 30476*s + 30471*s + s**3 + 25*s**3 to the form f + h*s**4 + v*s**2 + t*s**3 + z*s and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*x**2 - 22*x + 17*x + 5*x + 81*x**2.\nAnswer: -391*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1609*w = 1798*w. Let s = -2 + 0. Sort w, s, 19 in decreasing order.\nAnswer: 19, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8.06. Let i = 13.5 + -13. Let s = i + y. Round s to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 577*b**4\/4 + 785*b**3\/3 - 592. What is the third derivative of w(r) wrt r?\nAnswer: 3462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*s + 26, 0*s + 3*l - 28 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 5*y**4 + y**4)*(-3*y + 5*y + 4*y) + 2*y**5 + y - y - 4 + 4 + 3*y**5.\nAnswer: -25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 0.3, -1 in decreasing order.\nAnswer: 0.3, -2\/25, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(12\/18)*56\/144\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 5*w - 8*w**2 + 14*w**2 - w to f*w + y*w**2 + t and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 15\/(-9)) + 7667\/(-2255)*(-14)\/(-30)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 3 + -2 + -16 - -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2761048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 560 = -17*h. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -63. Let d = -207 - -194.1. Let u = d - m. What is the closest to 0 in 1, -1\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -14305234?\nAnswer: 14305227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*l**4 - l**3 + 126*l + 554 - 554 + 44*l**4 + 179*l wrt l?\nAnswer: 1680*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 12. Let v be i(-9). Let b = v + -139. Let j = 123 + b. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + ((-2*sqrt(153)*4 - sqrt(153)) + sqrt(153) - sqrt(153))**2 - (-4 + (4*sqrt(153) - sqrt(153)))**2.\nAnswer: 75*sqrt(17) + 11000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 8. Let j(h) = -2*h - 4. Let y(v) = 2*v + 3. Let r(d) = -3*j(d) - 4*y(d). Let w be r(-2). Calculate z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821 - 323 = -4*c. Let n = -685 - -757. What is the remainder when c is divided by n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3112021 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 329 + 219. Suppose 4*f = 4*v - 40, -2*v = -2*f + 3*v - 14. List the prime factors of (c\/(-8) - 0)*f.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7882981433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 27 = 13. Let k be 18093\/o + 30\/75. Suppose 5*t + 6*t = k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 7*v**2 - 3*v - 4. Suppose 0 = -k - 2, 4*a + 3*k - 68 = k. Let y be (a\/(-4))\/((-15)\/20). Is 7 a factor of l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h + 63*h - 12373 + 12373.\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 + 8 = 0. Is 2 + b - (-2 + -1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.2 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 39*m**4 + 2*m**3\/3 + 10*m**2 - 151*m. Find the second derivative of p(t) wrt t.\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92496300 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2011226 + -2558279329\/1272. Let h = -2\/159 - j. Suppose 13 = -7*b + 13. Is b <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*t - 26 - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w + 99. Let r = 48 + w. Calculate the common denominator of -91\/22 and (-99)\/r*(-5)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 - g\/7 + 2\/7.\nAnswer: -(g - 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50491468.\nAnswer: 2, 67, 188401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6*a = -20, 77*a - 76*a = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -51. What is the remainder when 27 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-3))\/(80\/(-1404)) and -3\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9917 and -2072\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - (-2 + (0\/2 - 2)). Let r(c) = -55*c + 39. What is the hundreds digit of r(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 3759266*y.\nAnswer: -2*y*(y - 1879633)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + b = 4*b - 19, -s = -2*b + 8. Suppose -3*n + n = -h - 1, s*n - 4 = -2*h. Suppose -2*y - n = -y. Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = -6. Let f be (-18)\/(-3)*(-1 + l). Let o = f - 4. What is the remainder when 2 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3139, -4405, -5671, -6937?\n\"Answer: -1266*r - 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 348 = -4*n, 257 = 5*n - 17*a - 17*a + 37*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-1 + 3 + 0)*(238*b - 501*b + 413*b + (-1 + 2*b + 1)*(-4 + 6 - 1) + b + 1 - 1).\nAnswer: -306*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (5 - 11 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 4270?\nAnswer: 4269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 30*p - 585. Let k be v(28). Calculate the greatest common factor of k and 270.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**3 + n**2 - n - 1. Let a be u(-1). Find the second derivative of a*f**2 - 4*f**2 + 0*f - 3*f + 5*f wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 1 e when three letters picked without replacement from {c: 1, e: 4, w: 4, v: 3, n: 1}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 525300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmv when three letters picked without replacement from vvvwvwpmpvmmv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.053.\nAnswer: 0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 15*u**3 + 37 - 37.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4486 + -4485. Put -17, -6\/5, j in decreasing order.\nAnswer: j, -6\/5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-1) + (1 - -4). Let w = -22 - -36. Suppose -4*c + 22 - w = 0. Solve q - c = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/971464 and -1\/1335763.\nAnswer: 10686104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2445983044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 2. Let k be 16\/(-88) - i\/11. Let n = k - -2. Calculate the lowest common multiple of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 12*o**2 - 15*o - 34. Let m be r(-13). Put 1, m, 4, -4 in ascending order.\nAnswer: m, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/1 + (-10 - -6). Let w = 32 + z. Calculate the highest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6464*i**3 + 5446*i**2 wrt i.\nAnswer: -38784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + c**2 - c. Let j(m) = -7*m**2 - 2*m + 7. Let t(a) = j(a) + k(a). Let d(b) = b**2 + 104*b + 395. Let q be d(-4). Calculate t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 5*p + 18 = 0. Let y = 5 + p. Is -5*y\/((-5)\/(-33)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20346 divided by -14333?\nAnswer: -20346\/14333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 - (-140)\/(8 - -6). Solve 0*g = 4*i + 2*g - 14, -3*g - 3 = -m*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 421*o - 845*o + 413*o - 64 - 5 + 39.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -352608399451+0.16\nAnswer: -352608399450.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 105*x. Let u(q) = 229*q**2. What is i(u(l))?\nAnswer: 24045*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 35*o**2 - 1 + 17*o**2.\nAnswer: 52*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 2*i - 5*s, i - 3*s = 6*i - 214. 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 thousands digit of 511243618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2078 - 5?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1\/8)*m*m**(4\/3))**(4\/3) assuming m is positive.\nAnswer: m**(107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007475958 to six decimal places.\nAnswer: 0.000748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -689, -1426, -2163, -2900, -3637, -4374?\nAnswer: -5111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 339*i**2 - 209*i - 7059. Give o(-169).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*p - 0*d + 14, 0 = d + 2. Let f be 5\/(45\/6)*p. Let r = -0.06 - -0.36. Which is the biggest value? (a) f (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 25 + 37\/2*a**2 + 2\/5*a**3 + 0*a + 1\/10*a**4 + 1\/100*a**5. Let t(j) be the second derivative of o(j). Factor t(z).\nAnswer: 3*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2807335379 from 5.\nAnswer: -2807335374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4286 divided by -2143?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s - 3. Let x(r) = -1 - 7 + 2*r + 7*r + 1. Let n(i) = 2*i**3 - i**2 - i - 1. Let l be n(-1). What is l*x(j) + 7*m(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-306)\/(-4)*972550\/3. Let z = -3 - -7. Suppose -5*h + l = z*q, 2*q - 5*h - 24799975 = -2*q. Round q to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3833, 15322, 34469, 61274, 95737, 137858?\nAnswer: 187637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 481*q**2 + 1798*q + 984.\nAnswer: -(q - 164)*(q + 3)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*m = 69*m - 134*m + 99000 for m.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10296.5 + 10296. Let g be 8\/7 - (0 + 1). Suppose 0 = -r + 2*r - 2. What is the nearest to 0 in r, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -10. Suppose o*m + 30 - 104 = 0. Solve -5*g + 0*d = 4*d - m, -3*d = 3*g - 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 8 = -4*r, -4*v + 5*r - 169130 = -169149 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c61 + b5?\nAnswer: d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-27) + (-104)\/(-18). What is the units digit of s\/27 - 104\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30489*a - 11043?\nAnswer: -30489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7354184?\nAnswer: 2, 47, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/35*14\/4)\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -49*d**2 + 6*d + 6. Let h(s) = 3*s**2 - s - 1. Let l(o) = -f(o) - 6*h(o). Let b(x) = -6*x. Give l(b(p)).\nAnswer: 1116*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32036974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -5. Let c = 2 + 2. Solve -o - 15 = -c*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 15) + 2 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 15*b + 65. What is l(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16.60343 years?\nAnswer: 1.660343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -28*y**2. Suppose -q - z = 4, 2*q = 6*z - z + 13. Let t be m(q). Let d = 44 + t. Solve -o + d = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 9 = -d, -h = -3 + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-56)*((-1)\/(-1))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2 + 3 + 0 + 2*d. Let f = 14 + -10. Let m be j(f). Solve p + 4*u - m = 2*u, 3*p - 15 = -2*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -120*r + 141*r - 399. Solve 3*y = -2*h - 13, 0 = -0*h - 4*h + y - r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 14*a - 8. Let f be i(7). Suppose 0 = 3*q + p - 27, -q + 4*p - 38 = -6*q. Calculate the greatest common factor of q and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -8*n - 56. Let b be 4*1*7\/n*-1. Let m(f) = 14*f**3 + f**2. What is m(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-50) - 6\/(-10). Suppose 3*c = -4*t + 4, r = -3*c + c - 2*t + 4. Suppose 5*w - 3*h - 437 = h, c*w - 5*h = 346. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 2*c**2 + 3*c + 4. Let n be -2 + 0 + (1 - 2). Let z be i(n). Let o = 0.848 - 2.848. What is the second biggest value in z, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 20041.\nAnswer: -20041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -11*b + 0 - 1\/2*b**2 - 1\/3*b**3. Let c(g) = 3*g + 2. Let j(a) = -a - 1. Let n be j(-6). Calculate n*h(y) + 3*c(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -490*k. Let b(d) = 81*d. What is n(b(r))?\nAnswer: -39690*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927114.\nAnswer: 2, 3, 191, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56751, -56835, -56921, -57009, -57099, -57191, -57285?\nAnswer: -57381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9) + 4\/((-144)\/7)*-2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705466400 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 22 = -0*m. Let p = 21 + m. What is the remainder when 37 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1872) + sqrt(1872) - (-2 + sqrt(13) + -3).\nAnswer: 5 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 0*t + 6*t - 7*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*k - 4*k. Let h(i) = -51*i + 9. Let d(w) = 5*w - 1. Let j(p) = k*h(p) - 21*d(p). Suppose 4*m = -3*t + 17 + 12, 3*m = -5*t + 30. What is j(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 76*x**3 + 74*x - 3. Let k(d) = -38*d**3 - 35*d + 1. Let i(v) = -10*k(v) - 4*p(v). Find the second derivative of i(y) wrt y.\nAnswer: 456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*6\/(-18))\/(8\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - a - 3*a)*(25 - 1 + 605) + (2*a + a - 5*a)*(0 + 0 + 2) + 2*a - 1 + 1 + 0 + 3*a + 0 to c + w*a and give w.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -2. Let i = h + -4. Suppose 0 = 2*g - m - 5, i*g = -g + 5*m + 16. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40352.8 and 0.014.\nAnswer: 40352.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 2 - 6 - (111 + -135)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/25, -4\/11, 990?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w**2 + 7*w - 6. Let m be a(4). Let q(y) = -11*y - 22. Let h be 12\/(-4) + 1 + -2. Let v be q(h). Calculate the highest common divisor of m and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325534126.\nAnswer: 2, 47, 1031, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 23. Determine b(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 17. Suppose -2*r = -w - b - 8, r - 11 = 2*w. Suppose 8*z + 12 = r*z. Solve 2*i - z*p - 6 = 0, -3*p + 0*p = -4*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 14*t - 722. Solve -40*j + t*j - 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/31)\/(2\/(-10)*-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 0 + 79\/(-7). Let x = -10 - a. Let g = -3 + 4. Which is greater: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((-11 - 38) + 6 - -8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spzzzzzdwswzw. What is prob of sequence dp?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(22)*-1)\/sqrt(2) - sqrt(11)) + 0 - sqrt(44)\/(sqrt(324)*1)).\nAnswer: -19*sqrt(11)\/9 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1440 and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065900?\nAnswer: 2, 3, 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 20. Let t(p) = 3*p**3 - p**2 + p. Let m be t(1). Suppose -m + 0 = d. Which is the nearest to -2\/5? (a) v (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 15*t - 21. Determine q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-4 - -17) + -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*i**2 - 2 + 2 + 68*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/15 - x**4\/3 + 16*x**3\/3 + 12*x**2 - 3*x. Let b(p) = 0. What is p?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.8 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2 - 7391434*b + 13658324144089 = 0.\nAnswer: 3695717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -4)\/(-4)*(-1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) -2 (c) 3 (d) 0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285370 is divided by 747.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 8 = -1. Let g(h) = -h**3 - h**2 - 7*h. Let u(i) = -i**3 + i**2. Calculate d*u(l) - g(l).\nAnswer: 2*l**3 + 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*c - 4 - 28, 2*b = 3*c. Let g(a) = -31*a + 4. Let f be g(-5). Calculate the remainder when 8 is divided by f\/33 + b\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 223725*r + 223724.\nAnswer: (r + 1)*(r + 223724)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*f - 439 = -91, -3*w = -2*f - 256. List the prime factors of w.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19795*y**3 + 2223*y**2 + 27*y.\nAnswer: -118770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19046 + -0.21046. Which is the smallest value? (a) w (b) -1\/14 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1) - (-78 + -2). Let n = w + -39. Suppose -4*h + 42 = -2*h. What is the remainder when n is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**18*l**30*l*l assuming l is positive.\nAnswer: l**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 590, -67 in increasing order.\nAnswer: -67, -3, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 410, 898, 1560, 2384, 3358?\nAnswer: 4470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - 3 - -1) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -241337, -482757, -724177, -965597?\n\"Answer: -241420*l + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c3a83a1 + 4?\nAnswer: -c3a839c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) -2\/7 (c) 3\/5 (d) 11795\/2 (e) 2\/11 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/4)\/(1\/(-12)). Let s be k\/13 + (-4)\/(-26). Solve 0 = -s*c + 5, 3*c - 1 = -j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/975 and -37\/17450.\nAnswer: 680550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.66 + 33.16. What is the closest to -2\/7 in n, 4\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2898421858 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 2}. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2. Let i(q) = 0 - 2 + 2 + 4*q**2. Calculate i(l(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - ((-5)\/5 - 7). Suppose 0 = 2*y + s*a - 566, 4*y - 2*a + 837 = 7*y. List the prime factors of y.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -13) + 10 + 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4647086 litres to millilitres.\nAnswer: 464.7086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64696 is divided by 21525.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 4. Suppose -307*f + 234 + 803 = -191. What is the third biggest value in j, -0.3, -4, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 15, -5*v + 19397 = j - 3*j. Let q = j + 4157. What is q rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53426853.\nAnswer: 3, 37, 160441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d029 (base 16) to base 13.\nAnswer: -42115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*i + 36, -76*i + 28*i + 18 = -43*i + b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/5*12\/7. Let l = x - 63\/10. Put 0.5, l, 5 in descending order.\nAnswer: 5, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + 3*v**2 + 10*v + 1. Let t be w(-2). Suppose -t*m - 2*m = -190. Solve 2 + m = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 0.2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a century?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2121642, -2121731, -2121986, -2122491, -2123330?\nAnswer: -2124587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546836.\nAnswer: 2, 3, 128903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14260931.\nAnswer: 14260931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14572588, 14572598, 14572608, 14572618?\nAnswer: 14572628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2581 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127447067 or -254894135\/2?\nAnswer: -127447067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6011*q**3 - 193 + 3002*q**3 + 3004*q**3 as t + z*q**3 + k*q**2 + x*q and give t.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*j + 0 + 6\/5*j**3 - 2*j**4 + 4\/5*j**2 = 0. Calculate j.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -929078*b**3*c + 4*b**2*c - 2*b**2 - 3283*b + 2*c - 1 wrt b?\nAnswer: -5574468*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 251 = 2*f, -3*f + k - 123 = -505. What is the remainder when 406 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 197414, 396913, 596410, 795905, 995398?\n\"Answer: -y**2 + 199502*y - 2087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 20*x - 1. Let m be f(-1). Let i be 9\/m + (-50)\/14. Let h be (-9600001)\/(-4) + 1\/i. Round h to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 + 20 = -2*t, -2*h - 3*t = 6. Let s = -1 - -0.6. Let m = 0.05 + -0.05. Which is the nearest to m? (a) s (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -25.\nAnswer: -25, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z + 0*z)*(1 + 3 - 1)*(4 - 3 + 1).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.827791km in millimeters?\nAnswer: 8827791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 10*s**2 + 9*s - 2. Let b be n(9). Is ((184\/4)\/b)\/(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*(11 - 9). Let b = -4 + 8. Suppose 5*y = -n + 3*n - 3, 3*n + b = -y. Put f, 3, y in decreasing order.\nAnswer: f, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164396012 divided by -22.\nAnswer: -7472546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2. Let j(l) = -2*l**2 + 7*l. Determine j(x(t)).\nAnswer: -18*t**4 - 21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/17 in 11065, 0.11, 1\/3, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4) + (-3)\/4. What is the closest to 0.1 in -3, i, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 3. Let w = -10 + 4. Let j be a(w). Determine p, given that -10*p**2 + 1 - 3 + 2*p**j + p**2 + 6*p + 3*p**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 5. Let y(l) = -2*l + 12. Let m(w) = 2*u(w) + 6*y(w). Calculate m(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*14*260\/(-182). Solve 0 = 39*k - v + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 183\/21 + 12\/42. Calculate the highest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.4. Let t = -12.5 + 14. Let i = t + 0.5. Which is the smallest value? (a) 3\/5 (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8 - 16. Let y be 230\/5*c\/(-1). Suppose y*r - 95*r = -870. What is r rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from xgvgxgxxxzxvxxpxnz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 15 = 4*r. Let p(h) = h**2 - h - 2. Let y be p(r). What is the highest common divisor of y and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Let l(a) = a**2 - 3*a**2 + 0*a**2 + 8 - 5. Let t(g) = -g**2 + 2. What is c*l(u) - 3*t(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-11 - -9 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {s: 7, i: 2, z: 1, k: 4, b: 3, t: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*i = -n + 15, -3*n - 4*i = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*x - 13 = 3, 0 = 2*f - 2*x + 6. Let h be (3 - f) + (-20)\/12. Let y = 31\/96 - -1\/96. What is the nearest to y in -0.2, 2\/13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 1.3. Let l = 19.5 + r. Let f = -18 + l. What is the closest to -0.1 in f, -5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194227 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: 58\/90 + (1275\/(-135) - -9)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*b + 10*b - 35*b + (0 - 3 + 4)*(b - 4*b + 4*b) + 2*b + b - b - 3*b + b + b)*(-4*b - 4 + 4) in the form v*b**2 + i*b + h and give v.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*r - 310, r - 157 = -2*d - 0*d. Does 35 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 17590 = k, -5*k + 10*i + 87950 = 4*i. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 12. Suppose 5*p - 28 = -2*f + 11, -4*p + r*f + 20 = 0. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51576 by -7.\nAnswer: 7368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134454\/767 >= 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -2490993?\nAnswer: 14\/2490993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (480\/75)\/((-4)\/(-5) + -1). Let i be 104\/234 + p\/(-9). Put i, -49, -1 in ascending order.\nAnswer: -49, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 + 5397*a**2 + 3*a**3 - 5392*a**2 in the form m*a**3 + f + n*a**2 + z*a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 676*u**4\/3 + 244556*u**3\/3 + 22089973*u**2\/3 - 1702486*u + 98283 = 0. Calculate u.\nAnswer: -181, 3\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13 + 15 + 5)*(0 - 1) - -35. Solve 103*w = 117*w - k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 15. What is the closest to h in -3, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3 - 0. Let k = 6 - b. Suppose -k*h + 930879 - 4030879 = 0. What is h rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.35\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 126767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -32. Let g(y) = -y**3 + 6*y**2 - y - 1. Determine g(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 147*n**2 - 15*n - 15. Let u(o) = 37*o**2 - 4*o - 4. Let z(g) = -4*h(g) + 15*u(g). Let f(s) = -2*s. Determine z(f(q)).\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 645, -16 in ascending order.\nAnswer: -16, 2, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6320, -7570, -9648, -12548, -16264, -20790?\n\"Answer: p**3 - 420*p**2 + 3*p - 5904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -11*t - 2. Let d be m(-2). Suppose -s + 2*o - 3 = 0, 0 = -4*o + d - 4. Let z be 6 - s - (-10)\/(-11). Do -1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166549585 and 19557.\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**5\/4 + p**4\/6 + 5*p**3\/6 + p**2\/2 + 6143*p. Calculate i(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3697 - 1?\nAnswer: 3696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 32*z - 1 + 1. Let m(l) = 21*l. Let k(h) = -8*m(h) + 5*u(h). Let t(s) = -3*s + 6*s - s - 3*s. Give k(t(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -614 - -1574. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.95 + -18.95. Let d = -121824\/25 - -4872. Is l at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2855996.8*5.\nAnswer: 14279984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/10 - 46545\/75. Let w be (-6)\/(-4)*h\/15. Let m = -30 - w. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*j**2 - 11*j - 4 + 88*j**2 - 13*j**2 in the form m*j**2 + s*j + c and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and 4499?\nAnswer: 4492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 2. Let o be h(-2). Suppose -4*d + 2*d - 10 = 0. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 8*r + 17. Let q be u(9). What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4 + 494867*k**3 + 13857007*k**2 + 26229409*k + 12867270 = 0. What is k?\nAnswer: -26, -1, 494895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5042 + 1?\nAnswer: -5041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -10527938.25 to the nearest one hundred thousand.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 16 = -f. Let l(m) = 7*m + 2. Is l(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -22489496814?\nAnswer: -22489496813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25 - 17 - (1 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -8, -24 in descending order.\nAnswer: -8, -24, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 3\/2*x**2 - 14*x**3 - 2*x - 145. What is the second derivative of o(p) wrt p?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**3 - r**2 + r + 1. Let m be h(-1). Let z = -250 + 249. Which is the nearest to z? (a) 0.1 (b) 4\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.4 (b) -0.5 (c) 2.963\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 321190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -197, 0, 1 in ascending order.\nAnswer: -197, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.57267*-1\nAnswer: -0.57267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595499?\nAnswer: 89, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.03 - 0.03. Let p = 0.55 - -6.95. Let v = p - 9.5. Which is the nearest to -0.2? (a) 1 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 25 - 2 + 12*q.\nAnswer: 14*q + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -18\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 3:00 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 10:45 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2866.407 millilitres to litres.\nAnswer: 2.866407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/15)\/3 + (-504)\/60. Let u(l) = -4*l - 42. Determine u(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 2*z**2 + z**2 - z**2 + z**3.\nAnswer: z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/3256 and -13\/766568.\nAnswer: 28363016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9))**(4\/17)*b**(2\/17)*b*b**14 assuming b is positive.\nAnswer: b**(2305\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -25*w**2 + 5*w - 4. Let i be m(1). Let s be 0*-3*(-2)\/i. Suppose s = g - 2*g + 22. Round g to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2417*c**2*i**3 - c**2*i - 95691*c*i**2 wrt i.\nAnswer: 14502*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1907*x + 212567 + 114505 = -1500*x for x.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85975.5 millilitres in litres?\nAnswer: 85.9755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 15. Let w = u - -10. Suppose p = w*k - 4, 2*p - 2*k - 17 = -3*k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33476809 is divided by 25951?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from xyyvvyvxkyyvyyvy.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128.2 - 128.2. What is the second biggest value in -1, -3, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64)\/(-10) + -1 + 36\/(-90). Let p(n) = 19*n - 1 - 15*n - v*n. Let l = 14 - 15. Let j(d) = d**2 - d - 1. Calculate l*j(q) + p(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 1. Let h(j) = 22*j**3 - j + 2. Let u(d) = -h(d) - 2*r(d). Find the second derivative of u(w) wrt w.\nAnswer: -132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -405 + 689. Let q = -670 + 674. Calculate the greatest common divisor of p and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3726640 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*c + 3, 5*v - 7*c = -6*c + 15. Solve -2 = -v*j - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 6782*t - 115018. Calculate c(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -5 + 19 + 45 - 2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 1 + 3 + 5 + (2 - q - 2)*(15 - 3*q - 4 + 0*q).\nAnswer: 5*q**2 - 11*q + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62211 - 61191 = 68*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/120 + p**5\/30 + p**4\/2 + 13*p**3\/6 - p**2 - 119*p + 6. What is w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + q + 3. Let g be (-1)\/2 - 7\/(-2). Let t be u(g). Let b(l) = l**3 + l**2 - 2*l + 4. Determine b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5272347382 and 4.5.\nAnswer: 5272347386.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 6 - 27. Let r be (0 + 0)\/(-10 - v). Suppose 6*q - 181 = -4*g + q, q - 1 = r. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 2*a - 10, 2*a = -u + 6. What is the third derivative of -u*c**2 + 7*c - 7*c - 8*c**3 - 5*c**2 wrt c?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m - 32. Determine q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -14, -12, -28, -74, -162, -304?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*g - 27*g - 144*g + 164*g.\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6726424 and -49\/395672.\nAnswer: 6726424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6130 - 4006. Suppose -k = -17*l + 13*l. Suppose -314 = -5*q + l. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -607 or -608?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 0*q**5 + 2*q**5 + (1 + q**3 - 1)*(-q**2 - 1 + 1) + 3*q**5 - 4*q**5 + 5*q**5 + (-3 - 2*q + 3)*(2*q**4 - q**4 - 3*q**4) + q**2 - q**2 - q**5.\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1625047 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1060090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 3. Let s be h(-1). Is s smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 + x - 2. What is s(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.17 and -88?\nAnswer: 87.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942416327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24662483?\nAnswer: 61, 101, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1736609 - 1?\nAnswer: -1736610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2295302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 76*s**2 - 162*s**2 + 78*s**2.\nAnswer: -8*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 6*f. Let v be x(5). Suppose -3*c + 0*c + 5*d = -36, -v*c + 2*d = -60. Let t = 11 - c. Let l(m) = 2*m**2 - m - 1. Determine l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - 20. Let a = -30 - r. Let f = 29 - 11. What is the third smallest value in f, 3, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.62 - 0.62. Which is the nearest to 0? (a) y (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17*3\/(-6) - 6. Which is smaller: b or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 1649. Let t be l(39). Calculate the greatest common factor of 57 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 8*x - 3. Let c be a(-5). Let t be (c\/20)\/(1\/5). Solve s = -4*p - 17, 0*s - 12 = t*p + s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000141592806 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 909468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 18*x**2 - 58*x - 12. Calculate r(-17).\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16871 is divided by 1011?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + -5 + 3 + 4 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001011 + 110100110?\nAnswer: 10110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 23*a - 19*a + 66, 31*g - 15*a - 1258 = 0 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*3\/(-6) - -5. Let o = b - 4. Let m be o - (-2)\/(-5)*-2. Which is bigger: -1\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1899437, -1899460, -1899497, -1899548, -1899613?\nAnswer: -1899692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.359073 and 0.026.\nAnswer: 0.009335898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + -65 + -25 - (-2 + 25)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(0*c**2 + 3*c**2 - 4*c**2) + (4 - 4 + 3)*((1 - 1 - c)*(6 + 6*c - 6) - 3*c**2 + 2*c**2 + 0*c**2).\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -33291\/2 greater than or equal to -16647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 129*o**8\/28 + o**4\/3 - 153*o**2\/2 + 1477*o. Find the third derivative of g(a) wrt a.\nAnswer: 30960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 10*t**2 + t + 16. What is c(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00064059131 rounded to five decimal places?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2778*g + 30 = 2780*g, 69 = -5*f + 3*g for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 9.9. Let u = -0.1 - d. Are 1\/5 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*h - 9*h + 43 - 49 to the form o + c*h and give c.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.105 + 0.1050051. Round w to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*d*m**2 - 49549239*d*m*n - 2*d*m + 60*d + m**2*n**3 - 39*m**2 + 12*m - 2 wrt n.\nAnswer: -49549239*d*m + 3*m**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-1))\/(7\/(7\/1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.5 or 1076?\nAnswer: 1076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2160388951 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 7, 2, 1, 5 in descending order.\nAnswer: 36, 7, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_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: Suppose 3*k + 813 = 5*c - 504, 4*k = -5*c + 1289. List the prime factors of c.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121418 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*x**3 + 27*x**3 + 9 - 33 + 2*x - 71*x**3 - 4*x in the form g*x**3 + t*x + l + h*x**2 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 7*m + 8. Let z be s(-6). Factor 4 + 0*u + 2*u - 3 - 2*u**z + 3*u**2.\nAnswer: (u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*c**2 - 10*c - 101*c**2 + 0 + 2 + 195*c**2 to the form i*c**2 + q*c + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.9 (b) -3 (c) 13 (d) -1\/117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 29 + 9, 0 = -4*b + 4*s - 4. Suppose 12949*y + 133 = 12930*y. Let z = -5 + 5. Sort z, b, -5, y in decreasing order.\nAnswer: b, z, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - n + n + 0. Let c be 363\/66*12\/33. Let g(y) = -2*y + 125*y**c - 113*y**2 + 4*y. Calculate p(g(m)).\nAnswer: 12*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 129952191*c**2. Let i(b) = 2*b. Calculate m(i(q)).\nAnswer: 519808764*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-44))\/((51\/8)\/(-3)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 t, and 1 d when four letters picked without replacement from veetdeeveeeetteeevv.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44614*d**4 - 61370*d**2 wrt d?\nAnswer: 1070736*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1588 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 3*l + 2. Let x be j(-2). What is the first derivative of -2 + 2 + 2 - t**x - 5*t**4 wrt t?\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.23 or -34969?\nAnswer: -34969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.1, -3, 3\/8, -2\/3, 25, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:34 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2 - 10865712*m + 86925568 = 0.\nAnswer: 8, 5432848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*m = 155, 23*q + 157 = 26*q - 5*m. What is the remainder when q is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 324 = 5*p, 7079*u - 7074*u - 4*p = -267 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3)*-1*2. Suppose -5*t + 38 = -12. Let b = t + -7. Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1 - (11 + -23 - 36\/(-8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -363*f. Let c(o) = 8675*o**2. What is k(c(q))?\nAnswer: -3149025*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*o - 1895, -266 = 4*o - 5*b - 1761. Suppose -3*t = -5*t + o. Suppose 8*q = t + 18. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -663.42 + 663.92. Let l = 0.2 - -4.8. Let q = l - 9. Which is the closest to 2\/9? (a) v (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1225*p + 7 + 5272*p - 7 - 76*p in the form m + q*p and give q.\nAnswer: 6421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 198\/(-132)*(16\/6 - 0). Suppose -5*d = -504 - 1856. Calculate the common denominator of -50 and (-6)\/g + d\/48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**2 - 4 + 62613*r + 62451*r - 124694*r in the form g*r + u + o*r**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -29cb249c?\nAnswer: 29cb249a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -634, -635, -636, -637, -638?\n\"Answer: -y - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*l = -4*v + 169*l - 119*l + 1191, v - 9 = -4*l for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -1439?\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 13*x + 5*x)*(4*x**2 + 0*x**2 - 2*x**2).\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1027*w**2 + 5135*w + 35. Calculate g(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3 - 44*l**2 + 42*l = 0.\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -1 - (-27 + -39 - (7 + (-3 - -11)))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 8 = 6*n. Calculate the smallest common multiple of 3 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 2*j + 14, 0 = 5*p - 8910*j + 8906*j - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1744 or -1746?\nAnswer: -1746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i + 4*p - 74 = 35*i, -4*p = 2*i - 56. Calculate the remainder when 124250\/315 + (-8)\/i is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5*5\/(-19). Let q = 10 - 13. Sort -4, j, q in ascending order.\nAnswer: -4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.5, 4, 3, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 161*p + 102*p = -94*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/27 (b) 0.4 (c) -122734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2608.49 - -3227.9. What is w rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/6 + 2*z**2 + z. Let y be d(-6). Let f = 42752.7 + -42753. Which is the biggest value? (a) 3 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023414 rounded to 6 decimal places?\nAnswer: -0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 1:46 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, -0.4, 6757, -3\/2, 0.2, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/16 - 56\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 8:18 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*y - 8966 - 162. Does y = 2924\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 88\/9*t**3 - 56\/3*t**2 - 5\/3*t**4 + 32\/3*t + 7. Factor p(w).\nAnswer: -4*(w - 2)**2*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 29*y**3 + 4*y**2 + 14*y + 9. Let n(j) = -57*j**3 - 8*j**2 - 24*j - 16. Determine -5*d(w) - 3*n(w).\nAnswer: 26*w**3 + 4*w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 287130946999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-28) + 2\/7. Suppose -4*z + 192 = -r*z. Calculate the highest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + c - 1 - 4, 5 = -2*q + c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*w + 19*w**3 - 414*w + 205*w.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -66, -61, 5, -30 in increasing order.\nAnswer: -66, -61, -30, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 18 = 6. Suppose -2*u + t = 2*u. Suppose -s + 2*v + 9 = 0, s + v + u*v = -1. Solve o = s*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z + 560 = 2*z - 98*z. Sort -2, 2, 1, -33, z in descending order.\nAnswer: 2, 1, -2, z, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**3 + 0*m**3 + 4*m**3 - 3*m - 2*m**2 - 2 + 2*m**3. Let p be -2*1*6\/(-4). Give x(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -79. Let g = n - 13. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11 + 1101*c - 8 - 1107*c. Let t = 106 + -100. Calculate x(t).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2727*i**3 - 57*i**2 - 15*i.\nAnswer: 16362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 936083405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4353*r - 4354*r + 6 = 0, -18 = -2*t + r for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16152.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 440, 1, -31, -92, 5 in descending order.\nAnswer: 440, 5, 2, 1, -31, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15511 is divided by 95?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97145*-6.\nAnswer: -582870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139*b**2*d**2*p - 10*b**2*d**2 + 8*b**2 + 13*b*d**2 + 3*b + 52*d**2*p wrt p.\nAnswer: 139*b**2*d**2 + 52*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -317, 9, -5, 1, 2 in ascending order.\nAnswer: -317, -5, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3157453730 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 66\/32 + (-15)\/5. Let c = w - 9\/16. What is the third biggest value in -1, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 3, s: 1, v: 5}. Give prob of sequence po.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = 21. Suppose 5*l = -y*r + 75, -2*r - 29 = -3*l - r. What is the second derivative of 14 - 14 - l*m**2 + 11*m wrt m?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4 + 20*d**3 - 105*d**2 + 90*d + 216 = 0.\nAnswer: -1, 3, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -320*a - 841. Let x be b(-5). What is the highest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 4. Let k(o) = -4*o + 7. Suppose r = -4*q + 6, -4 = 2*r - 4*r - 4*q. Let u = 23 + -16. Let i = u + r. Give i*f(h) + 3*k(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66712033 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + -1 + 3 + 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -32.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from pqpptmyyyttytt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -46176050*w**2 - 9610*w - 1\/2 = 0.\nAnswer: -1\/9610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11 + 5*m + 2*m**2 - m - 4*m. Let n be u(-11). Suppose -7*h + 9*h = 46. What is the greatest common factor of h and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 7*z**2 - z + 1. Let x be v(7). Let h be 33\/5 + x\/10. Factor 3\/8*k**2 + h + 3*k.\nAnswer: 3*(k + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.42 (b) -5 (c) -0.1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 335458846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**5\/60 + m**4\/8 - m**3\/3 - 2*m**2 + 15*m. What is b(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - 19. Let i = f - -24. Which is greater: -4\/5 or i?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -304 in -0.3, 93, 147\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-4)\/16*0. Solve 5*x = 2*r - 18 - 9, -4*x - 20 = s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -18. Let y be (0 + -3)\/(12\/(-152)). Let s = y - g. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:48 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**3\/2 - d. Let h(c) = 6*c**2 + 3 + 3*c**2 - 4*c**2 - 3*c - c - c**3. Let v be h(4). Determine g(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {z: 2, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851459.\nAnswer: 3, 617153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + (26 - 85) - (2 + 13 + -1) - 70?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11456450 divided by -7.\nAnswer: 11456450\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 4*o - 2*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/24 and -32\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*m + 30*m - 720. Calculate the least common multiple of 21 and m.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 10*i + 3*i + (99 - 52 - 49 + 16*i)*(-1 + 2 - 2) in the form h + f*i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = -3*i + 27, -4*i + 4*d = 4. Let n(m) = 3*m**3 - 3*m**2 - 10*m + 2. What is the tens digit of n(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*o**2 - 3*o + 8*o - o - 3*o to the form f + z*o**2 + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 21. Solve b + 4 - h = -z, 0 = -z - 4*b + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -1\/5, -1\/6 in decreasing order.\nAnswer: 5, -1\/6, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -133. Suppose -2*p = -10, u = -4*p + t + 84. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 1)*(4*u + 8*u - 4*u) + 2 - 2 + 2*u)*(208*u - 208*u - 204*u**2) in the form w + t*u + d*u**2 + f*u**3 and give f.\nAnswer: -2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -21*(32\/(-3))\/1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62746469 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 10*v = 48. Solve 26*g - 32*g - v = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 + (-20)\/(-16). Suppose 0 = -3*y + 4*l + 1, -2*l + 15 = 3*y + l. What is the closest to -2 in -11, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.2253 rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.4 (b) 0.3 (c) -52401 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34905190?\nAnswer: 2, 5, 491, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.1198\nAnswer: -0.4792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 9:30 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + h = 9 - 32, i = 5*i - 2*h - 42 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/120466 and 13\/13165768.\nAnswer: 408138808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 9*k + 56*k**3 - 5*k)*(5 + 12 + 12).\nAnswer: 1624*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -3 (c) -8736707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (56 + 38 + -164)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 8:41 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 29 + -16 - (0 - -4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1171248 and 99\/160.\nAnswer: 11712480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -641 - -1114. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 69*j**2 - 69*j**2 - 8*j**3 in the form a + y*j**2 + i*j + z*j**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -66, -35, -4, 27, 58, 89?\n\"Answer: 31*f - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -3. Suppose r = u + 4*u. Solve -u = 3*l + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-6)\/t)\/t)\/t*t**(-1\/3)*((t*t**(-1\/4))\/t)\/t**(-1\/6)*(t*t**0)**(-1\/35)*(t*t\/t**0*t*t)**(10\/7) assuming t is positive.\nAnswer: t**(-1147\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v - 2. Suppose -14*o = -55*o + 39483. Let g(w) = -o + 3*w + 963. Give g(y(d)).\nAnswer: 30*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 447080647 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, v: 1, e: 2, n: 2, s: 1}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 - 32*a**2 - 24*a. Let p(y) = y**2 + y. Determine k(d) + 24*p(d).\nAnswer: 4*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487039.\nAnswer: 7, 41, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4674*w + 4*w**3 - 8*w**4 + w**4 - 4676*w wrt w?\nAnswer: -84*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4457 + -4397. Calculate the highest common divisor of j and 1530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 26*m**2\/5 + 11574*m + 390544\/5 = 0.\nAnswer: -2219, -88\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 - 4*v + 1. Let q be z(5). Let d be 9\/(3\/6*-9). Put d, 3, q, 5 in increasing order.\nAnswer: d, 3, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2331*y - 3. Let q(d) = 5*d - 2. Determine n(q(g)).\nAnswer: -11655*g + 4659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.077507 seconds in minutes?\nAnswer: 0.36795845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*l + 3765 = 109*l + 4*l + 321*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l**3 - 4*l**2 - 10*l + 2. Let s(i) = -66*i**3 + 21*i**2 + 54*i - 11. Let w(c) = -22*d(c) - 4*s(c). Let z(r) = r**2 + r. What is -w(u) + 4*z(u)?\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(3\/13)\/b)\/b*b)*b)**(-37)*b**10\/b**(-6) assuming b is positive.\nAnswer: b**(-1124\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(209) - 3*sqrt(209))*2 - sqrt(209)))\/((sqrt(132)*-1 + sqrt(132))\/sqrt(12) - (sqrt(66)\/(sqrt(24)\/sqrt(4)) + sqrt(11))).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**2 + 32*y**2 - 12*y**2)*(44*y**3 - 42*y**3 + 10*y**2 + 2*y + 10*y**2).\nAnswer: 58*y**5 + 580*y**4 + 58*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/3*-14)\/((-8)\/12). Which is bigger: -34 or a?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -12. Suppose -3*w = -l + 2*l - 20, 0 = t*l - 3*w - 5. Suppose 0 = -5*r + r + 32. Calculate the remainder when r is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 5 = 4*y + 4*d, y + 2*d - 14 = 0. Is (-2)\/(-16) + 21390\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2495, 4768, 7055, 9350, 11647, 13940, 16223?\n\"Answer: -x**3 + 13*x**2 + 2241*x + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 20*y**2 - 24*y.\nAnswer: 4*y*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/(12\/108)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.22 (b) 5 (c) 2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2785\/3 - -928. What is the closest to -0.2 in 4, 12, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + 3 - (-1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*3\/(-15)*(-208 + 263)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, m: 1, j: 1, k: 3}. Give prob of picking 1 j, 1 k, 1 m, and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - c + 18763 + 6909, -2*u = 5*c - 12872. List the prime factors of u.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u - 1150 + 2311 - 11*u - 1160.\nAnswer: -23*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/12 + 25*p**3\/3 - 187*p**2 - 242*p. Differentiate s(k) with respect to k.\nAnswer: 2*k + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 - 2*w**2 - w + 1. Let p be y(-2). Suppose 0 = 2*x - 3*x + p. Is 1*x + (-3)\/1 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*z - 402 - 441, -c = -3. Calculate the highest common factor of 98 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -8. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4383, -4386, -4391, -4398?\n\"Answer: -h**2 - 4382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.494 - -0.006. Let q = -0.15 + 0.05. What is the closest to q in c, 4, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 89.828 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {i: 2, v: 13, s: 2, e: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974836.9kg to grams.\nAnswer: 974836900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16*f - 7. Let c(i) = 2*i + 1. Let x(u) = -14*c(u) - 2*t(u). Let v(j) be the second derivative of -j**3 + 4*j. Calculate v(x(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 4*c**2 + c - 2. Let q be y(4). Let a(k) = -2*k**2 + 8*k + 8. Let o(d) = 6*d**2 - 23*d - 23. Let j(t) = 17*a(t) + 6*o(t). What is j(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008 = 11*n + 73*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 478728352985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6191, 6202, 6227, 6272, 6343, 6446?\n\"Answer: i**3 + i**2 + i + 6188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*j**2 + 2*j - 1 + 146*j**2 - j - 448*j**2 + 90*j**2 + 1.\nAnswer: -108*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 13*h**2 - 72*h + 1227. Give u(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Suppose -i + 225 = -117. Let k be (-1)\/(-3) + i\/27. Let r(v) = 5*v**2 + v**2 + 13*v - k*v. Calculate r(d(j)).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.3 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309434765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**4*z - 16*w**4 - 6*w*z + 6*z - 3 wrt w.\nAnswer: -24*w**2*z - 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8 + 1 + 0 - 2*v. Let q(c) = 8*c + 13. Let i(x) = -3*x - 6. Let a(m) = 5*i(m) + 2*q(m). Give 9*a(u) + 4*w(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (5*(-2 + -2*sqrt(700)))**2 + 5).\nAnswer: -140216 - 4000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -864*l + 874*l - 66, l + 2*w = -0*l + 45 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5\/13))**(-13)*(i\/((i*i**(-4\/3))\/i)*i)**(-2\/5))**(1\/5) assuming i is positive.\nAnswer: i**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 11) to base 12\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 - -1913588956814?\nAnswer: 1913588956810.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 38. Suppose 5*i + 5*b - 40 = 0, 2*i - 12*b = -13*b + 13. Suppose 0 = -i*d + y + 34, 2*d + y - c*y = 20. Solve d - 2 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4 - (-63)\/15). Suppose -f - 168 = -a*f. What is the second derivative of -14*p**4 + f*p + 51*p - 83*p wrt p?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let u = -5 - -8. Suppose -4*g = u - 15. Solve 1 = -p*i + g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -17 - 13. Let n = 12 - m. Suppose 4*w + 75 = 3*a - 24, -179 = -5*a + n*w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 4. Suppose 2*k = -2*k - 8. Let t(x) = -x + 1. Let u(d) = k*t(d) + n(d). Let j(l) = -l - 3. Determine -2*j(h) - 3*u(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 + 0*x**5 + x**5 + (2*x + 4*x - 7*x)*(x**4 - 2 + 2) + (2*x + x - 5*x)*(6 - 6 - 13*x**4) + (-2*x**3 + x**3 - x**3)*(3*x**2 - 3*x**2 + x**2).\nAnswer: 26*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 27\/541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (68\/4 + (-195)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k + 0 - 1\/9*k**3 - 8\/9*k**2 = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(153))\/sqrt(9) - sqrt(612)*-6)**2.\nAnswer: 19652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 + 90?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r. Let o(c) be the first derivative of 4 + 1\/2*c**2 + 0*c. Calculate o(t(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/(-25) + 2\/10. Let r be (y - 2)*2\/4. Solve 4*j + r*v + v = 4, j - 1 = -3*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/9))**23*r**(-1\/2)*r*r**(-3\/4) assuming r is positive.\nAnswer: r**(635\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 705082151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 0*l - 2*l - l. Let p be i(4). Let z = p - -14\/3. Which is the biggest value? (a) 2 (b) z (c) 11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = -y, -29 = -y + 5*i - 9. Solve y = -3*a + 94 - 76 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -263*f - 1483. What is the hundreds digit of m(-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/10)\/(252\/(-448))*(-1)\/(-14)?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c - 25*c + 1381 = -1375 - 1348 for c.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*y - 22*y - 29*y)*(1 + 1 - 5)*(-2*y + y - y).\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -248 or -264?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvu when three letters picked without replacement from utsssusv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - -167. Suppose 195*k - 15 = m*k. Solve -3*y = 2*v + k*v - 10, 5*v + 20 = 3*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 6\/7, 952, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79935401 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.140138754 to three dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1)*(-7)\/(-84)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -19*y - 3. Let m(j) be the first derivative of 7*j**2\/2 - 396. What is m(k(x))?\nAnswer: -133*x - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v - 2*n + 112 = 0, -4*v = 4*n - 112. Let s = 33415 - 33387. Calculate the remainder when s is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 8, l: 9, h: 1}. Give prob of picking 1 h and 1 t.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -34*d - 7. Suppose -4*n = 24 - 4. What is the units digit of q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**3 + 647*n**2 - 543*n + 851. Determine i(107).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 72 + (-73 - -71) - 21\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128*n*x**3 + 109*n + 2*x**3 + 2 with respect to x.\nAnswer: 384*n*x**2 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1610 - -1785. Solve -27*t = 8*t - j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23849.\nAnswer: 7, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130a14 (base 11) to base 6.\nAnswer: -4230343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -13. Suppose -4*n = x*m - 44, 3*n + 0*m = 2*m + 43. What is the remainder when 36 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 5*y - 4. Let z(j) = -j**2 - 3*j + 6. Let r be z(-5). Let o be h(r). Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + -2 + 2 + 3 + -3. Solve 0 = -4*k + l - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 60. Let s(t) be the first derivative of t**2\/2 + 5*t + 2. Give s(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.956 + -39. Let g = 114.044 + p. Let a = g + -113.9929. Round a to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 989\/215 - 2*(-1)\/5. Find the second derivative of -31*p**b - 120*p - 20*p**5 + 106*p**5 wrt p.\nAnswer: 1100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831194089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 7942?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25868, 41287, 56706, 72125, 87544?\nAnswer: 102963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 4 = 0. Suppose 15 = p*t + 3*t. Let h(u) = 3*u**2 - 4*u + 5. Let c be h(t). Solve -2*k = -7*k + c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3064837 - 17?\nAnswer: -3064852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 11. Let q = 8 - 4. Sort q, h, 3 in decreasing order.\nAnswer: q, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 465.282 weeks?\nAnswer: 281402553.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + 104?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 11:34 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86143 + -3?\nAnswer: -86146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -748 - -748. Which is bigger: 33\/346 or d?\nAnswer: 33\/346","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 2:43 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*y - 4 = 0, r + 16 = 4*y + 24 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1451149 - -1?\nAnswer: 145114a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 197, 1158, 3059, 6146, 10665, 16862, 24983, 35274?\n\"Answer: 41*a**3 + 224*a**2 + 2*a - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 148428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 641, 2564, 5769, 10256, 16025, 23076, 31409?\n\"Answer: 641*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56829, 56897, 57087, 57459, 58073, 58989, 60267, 61967?\nAnswer: 64149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/3)\/y*y)\/y)**(-2\/49)*y**5\/((y**(1\/4)\/y)\/y))**(-2\/115) assuming y is positive.\nAnswer: y**(-797\/6762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21355 and 38071694?\nAnswer: 4271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45244 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 220864?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.284937l to millilitres.\nAnswer: 2284.937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 5) in base 7?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 4, c: 1, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 378564 times -11.53\nAnswer: -4364842.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -33*p**3 + 15*p**2 - 12. Let u(l) = l**3 - l**2 + 1. Let h = 44226 - 44241. Determine h*u(j) - k(j).\nAnswer: 18*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {v: 6, x: 1, c: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 365170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 - 3 + 182371*o - 182356*o + 4.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 667964, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/16 and -51\/647024.\nAnswer: 647024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 232, 877, 1956, 3469, 5416?\n\"Answer: 217*a**2 - 6*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26 * 11.5\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 14) in base 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**3 - 3340*c**2 - 57865*c - 246600 = 0.\nAnswer: -9, -8, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -23.5 (c) 3.141 (d) 4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -41. Suppose 4*g = -m*k + 27, -4*g + 0*g + 2*k + 62 = 0. What is the second derivative of 2*n + 7*n**4 - n + g*n wrt n?\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 214963 - 6*u**3 + 214973.\nAnswer: -12*u**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00095515 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2999 - 553 = -87*t + 7149. What is the lowest common multiple of t and 27?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/9, 2\/3, -21, 321?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 52. Suppose x = -z*x + 301. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -23\/2, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -68103*l + 42360072. Calculate t(622).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*v + 18. Let p be 2\/(-7) + 32\/v. Let q(i) = -3*i + 1 + 6*i + i**2 - 3*i. Determine q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/3 + 5*x. Let c(l) be the third derivative of 0*l + 0*l**4 + 0 + 11\/60*l**5 - 3*l**2 + 0*l**3. Determine o(c(z)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 161?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 15*r = 5*r + 180. What is the highest common divisor of 4203 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -8 - 9\/((-198)\/(-154)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1390 = -3*q + 8*q. Let p = q - 172. Let i = -36 + p. Calculate the greatest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - (3 + (-1 - 6)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 19\/557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 1, i: 4, c: 4}. What is prob of sequence ccxc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v**3 - 24 + 4*v**2 - 2*v**2 + 24 to h*v + l*v**2 + j + x*v**3 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 5 + 3 - 3 + 3. Suppose 9*p - 1 = 8*p. Let u(o) = -3*o**3 - 2*o**2 + o. Let c be u(p). What is w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5 - 15*f**4 - 756*f**3 - 3072*f**2 + 3840*f = 0.\nAnswer: -8, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190.755 + 8.165. Let k = 3.59 + u. Let j = k - -179.101. What is j rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 - 2.15. Let z = s + 2.51. Let p = z + -4.11. Which is the nearest to 0.1? (a) 3 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 97655, 103801, 109947, 116093?\n\"Answer: 6146*w + 91509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8341*m - 48274 = 79257 - 2416 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14703 or -14829?\nAnswer: -14829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736234 - 1470997 + 734763 - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1620)\/(-16))\/9 - (-3)\/4. Let h be (16\/y)\/((-2)\/93). Let a = h + 63. Sort -6, a, 5 in descending order.\nAnswer: 5, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4\/4 + 27*z**3\/4 - 9*z**2 - 33*z + 36 = 0. Calculate z.\nAnswer: -2, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -332, -1402, -3316, -6188, -10132, -15262, -21692?\n\"Answer: -19*v**3 - 308*v**2 - 13*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 458\/6 + 6\/9. Let l be 22\/j + (-12)\/(-7). Calculate the highest common divisor of 8 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5566 - 31192 = -6*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b. List the prime factors of z(-5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*j**3*o**2 - 685176*c**3*o**2 + 6*c**2*o + 2*c*j**3*o**2 - 14*j**3*o**2 - 1063*o**2 wrt c?\nAnswer: 12*j**3*o**2 - 4111056*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = -4*z. Let u = 9 + z. Suppose -d - 4*b + 17 = -0*d, -3*d + u = -3*b. Solve -m = -d*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*y = -142 + 69, m - 79 = -3*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from oqqo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97509496 + 12.\nAnswer: -97509484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3*t - 6. Let z be s(8). Let b be -4*3\/6 + z. Let x be 48 - (-1 + 0 + 1). What is the highest common factor of x and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 7*a + 1. Let q be m(-8). Let n(y) = 49*y - 3. Let p(v) = 99*v - 7. Let w(s) = q*n(s) - 4*p(s). Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*w + 1, -11 = -3*d - 3*w + 1. Let f = 57 - 53. Solve -4*v + 12 = -r, 0 = -f*v + d*r - 4 - 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113398434 is divided by 10438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2963, 2967, 2971?\nAnswer: 2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, 0, -2, -53193, -1 in ascending order.\nAnswer: -53193, -8, -6, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 + 23 - 12)*(0*n + 7*n - 2*n) as c + d*n and give d.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:52 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 11. Let k(i) = 31*i + 19*i + 1 + 5*i - 54*i. Determine g(r) + 3*k(r).\nAnswer: r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 + 12*j**2 + 15494*j - 46490. Give z(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, 858, 1422, 1986, 2550, 3114?\nAnswer: 3678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**4\/24 - 153*y**2. Let o(k) be the second derivative of -11*k + 0 - 1\/6*k**4 + 0*k**2 + 0*k**3. What is n(o(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2607, -3, -1\/5 in decreasing order.\nAnswer: -1\/5, -2\/3, -3, -2607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 15) to base 7.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39 - 6\/(10\/5). Let o = -21 + q. Suppose 3*x = -o*x + 72. Let k(r) = -5*r + 5. Give k(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14*z = -44. Let a = -386 - -390. Let o = -14 - -31. Solve -z*p + 16 = -a*b, -4*p + o = p - 4*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*j + 112*j - 175 = 21055 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/6 + j**3\/2 - j**2\/2 - 3*j. Let z(k) be the first derivative of k**3 + 2*k**2 - 2*k - 5. Determine 4*o(x) - 3*z(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, s: 5, p: 9, w: 3}. What is prob of sequence swsd?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/3 + 18*z**3 - 1060*z**2\/3 + 2958*z - 26299\/3 = 0.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {l: 2, f: 1, y: 2, w: 4, q: 8, k: 2}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-385) - (-1915)\/175)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/w**15)\/w)\/w**22 assuming w is positive.\nAnswer: w**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjaaajjaat. Give prob of sequence aajj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5701 + -3448. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 16*h + 41. Is d(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264931 (base 12) to base 8\nAnswer: -2317065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119412 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1094347.00203 + 1094318. Let i = 54 + -25. Let y = i + s. What is y rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.942 * -0.032.\nAnswer: -0.158144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 = 18. Let x = c + 48. Let s(n) = 8*n - 32. Let v be s(x). Round v to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + (-48)\/80. Let p(m) = m**2 - m. Let i(d) = 4*d**2 + d. What is g*i(c) - p(c)?\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009457.\nAnswer: 3, 223273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 5. Let w(d) = d - 1. What is 2*h(u) - 5*w(u)?\nAnswer: -3*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + 4. Let a(b) = b + 1. Let d(x) = -2*x + 12*x**2 - 29*x**2 - 1 + 18*x**2. Let m(s) = 6*a(s) + 3*d(s). What is -7*m(r) + 5*n(r)?\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*i = 21 + 3, 5*i = -20. Let o(d) be the first derivative of d**3\/3 - d**2 - 2*d - 1517. Let n(x) = -2*x**2 + 4*x + 3. Calculate l*n(w) + 5*o(w).\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus 16.37265?\nAnswer: -16.97265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.88 - -34.38. Which is the fourth smallest value? (a) n (b) 5 (c) -1\/8 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 12 - 165495*l + 26 + 1310593*l.\nAnswer: 1145098*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 15*o**2 - 2*o + 29. Determine d(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**5\/5 - 5*x**4\/4 - 7*x**3 - 23*x**2\/2 - 8*x + 111. Factor z(d).\nAnswer: (d - 8)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -18*s + 18. Let o be j(1). Solve -1\/4*i**3 + 0*i**2 + o + 1\/4*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7747639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7)*k)**(-15)*k**4\/(k\/k**2))\/((k**(-1))**(-4)\/(k**0)**(-2\/35)) assuming k is positive.\nAnswer: k**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f - 33. Let m(s) = 5*s - 17. Calculate 3*l(w) - 5*m(w).\nAnswer: 5*w - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -2, 0, -531, -3, 1 in increasing order.\nAnswer: -531, -3, -2, 0, 1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*t + 35 - 8, 0 = 5*o - 5 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-32)\/(-2))\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 240 = -6*w. Let h = 46 + w. Is 0 + 1325\/4 + h\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*s**2 - 535*s + 11386.\nAnswer: -24*s - 535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2996, -6009, -9030, -12065, -15120?\n\"Answer: -u**3 + 2*u**2 - 3012*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291*q - 726*q + 290*q)*(8 - 5 - 2).\nAnswer: -145*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 764 and 2292?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -80. Is 63 not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.1. Let o = j - -0.9. Let v be (-196)\/56 - (-3 - 0). What is the smallest value in v, -0.4, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5402740, 5402741, 5402742, 5402743?\n\"Answer: o + 5402739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - x - 2)*(133 - 133 + 25*x) - 2*x**2 + 2*x**2 + 2*x**2 - 57*x**2 + 20*x**2 - 4*x**2 in the form o + p*x**2 + r*x and give p.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*j**3 - 12*j**3 + 1 + 24*j**3)*(-5*j - j**2 + 5*j).\nAnswer: 54*j**5 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3718, 3732, 3760, 3808, 3882, 3988, 4132?\nAnswer: 4320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 317140678 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4\/2 + 69653*q**3 - 4861699089*q**2\/2 + 353791269020*q - 12899847417800 = 0.\nAnswer: 73, 69580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 9. Let t(m) = m + 12 + m + m**l + 8*m**2 + m. What is the tens digit of t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 1. Let g(p) = 11 + 2*p**2 + 2 - 13*p + 6*p**2 - 2. Let n(h) = g(h) - 3*s(h). What is n(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 - -34136343?\nAnswer: 34136402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2274)\/4*(-572)\/18018 + 2\/(-42)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d7 (base 16) in base 15?\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -696.85 - -696. Is f less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3962710.\nAnswer: 3\/3962710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 8*i - 5. Let h be b(-6). Let r = h - 4. What is the third derivative of -r*f**2 + 6*f**2 - f**6 - 4*f**2 - 2*f**6 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8926 - -12582. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -1\/6, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 604a51?\nAnswer: 604a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5900575, -5900576, -5900577?\n\"Answer: -x - 5900574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*l + 3641 = -649 - 2130 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1010 divided by -202.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171\/37 or 5?\nAnswer: 171\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*c - 36 = 0, c + 22 = 3*i + 14. Let u be 5*((-6 - -3) + 4). Sort -2, u, i, 0.\nAnswer: -2, 0, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 237987.\nAnswer: 4045779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/(3\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.56355 years in decades?\nAnswer: 8.156355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.8 and -18774.\nAnswer: 165211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 706 - 702. Suppose -4*l + 0*d = d + 30, 2*l = 3*d - 22. Let i be 12\/l + (-20)\/8. Sort -2, i, j, -17 in decreasing order.\nAnswer: j, -2, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -112011022?\nAnswer: -112011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 - 341\/5. Let g = -2\/15 + c. Let d be (-1)\/6*(1 - 0). What is the biggest value in 0.3, g, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5093019?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -177, -262, -433, -720, -1153, -1762, -2577?\nAnswer: -3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 14866 - 45326 = -b, -300897 = -5*b - 4*g. List the prime factors of b.\nAnswer: 3, 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**4 - 82*a + 101. Let m(k) = 6*k**4 - 83*k + 100. Suppose 6*q - 31 - 5 = 0. Let o(t) = q*m(t) - 7*j(t). Differentiate o(g) with respect to g.\nAnswer: 4*g**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -612874\nAnswer: -612874.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16604 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 7*l**4 + l**2 + l**2 - 9*l**4 + l**3 + 45 + 14*l to v*l**2 + f + o*l + g*l**4 + d*l**3 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1069\/4 - -267. Which is the smallest value? (a) -10 (b) -40\/3 (c) z (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247667, 990673, 2229017, 3962699, 6191719?\nAnswer: 8916077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -1\/30, 5, -3, 1\/9.\nAnswer: -3, -0.5, -1\/30, 0, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -15756 (c) 60 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(o + 5*o - 5*o)*(327*o**4 - 87*o**3 + 87*o**3).\nAnswer: 654*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120.30531 + -0.03531. Let j = -120 + r. Round j to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3769 (base 11) to base 12\nAnswer: -2a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -10) + (-5 - -13) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127258373?\nAnswer: 11, 1759, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*w - 253 = -820 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*f = 10, 13*k + 16 = 9*k - 4*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 36 = 3*c. Suppose -10*b = -c*b + 56. Suppose b + 8 = 4*f. Let s(p) = -p**3 - 1. Let z(i) = 2*i**3 + 3. Give f*s(d) + 4*z(d).\nAnswer: -d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 63\nAnswer: 64\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11726535 is divided by 1560.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -p - p. Let g be 3*1\/(p\/3). Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1182? (a) -1\/70 (b) 4 (c) 5 (d) 0.3 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 3, p: 1, f: 2, x: 5, y: 3}. Give prob of sequence fqyf.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44425*q**4 - 21663*q**2 wrt q?\nAnswer: 1066200*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77000550 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9578659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 93*n**2 - 14*n + 17. Let i be q(1). Solve 23*b = -b - i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248874 - 497123\/2. Factor -25\/2*v**2 - 15625\/6 - 1\/6*v**3 - s*v.\nAnswer: -(v + 25)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2, -21 in ascending order.\nAnswer: -21, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 29*t + 59. Let l be b(27). Sort 3, l, 0, 2 in decreasing order.\nAnswer: l, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4163 - 4158. Let a(w) be the third derivative of 0*w**4 + 0 + 0*w**3 + 11*w**2 - 17\/60*w**k + 0*w. Let b(h) = -h. What is a(b(q))?\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*(p\/(p\/p**1))\/p)))**(-8)*(p*p**(-4\/5)\/p)\/(p*p\/(p*p**(-5)\/p*p))*(p**(-2\/5)\/((p*p**(-2\/13)*p*p)\/p))**(-13) assuming p is positive.\nAnswer: p**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -7*v**6\/180 + 5*v**4\/4 + 39*v. Let i(y) be the third derivative of b(y). Let g(x) = -2*x. Determine g(i(o)).\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1768 + 610 = -93*t + 779 + 1783 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4, -3*o = -3*m - 0 + 3. Let x = 3 - 1. Let r = -15.4 - -15.3. What is the nearest to -0.3 in r, x, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 6*d**3 + 2*d**3 + (3*d + d - 2*d)*(d**2 + 0 + 0 - 2 - 2*d**2 + 2 + (-4 + 4 - 5*d)*(3*d - 2*d - 3*d)).\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/35507?\nAnswer: 2\/35507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*j + h, 3*j + 195 = -4*h + 236 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98.199995253 + 98.2. Round r to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 4*t - 5*x, 4*t + 6*x - 8*x = 118. What is the third derivative of -75*l**4 - 18*l**2 - 3*l + t*l**4 + 13*l**2 - 147*l**4 + 11*l**2 wrt l?\nAnswer: -4608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -36*h. Let v(k) = 2*k**2. What is y(v(i))?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1788666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/45*(-83)\/(-2) and (-1790)\/924 - ((-6)\/(-4))\/((-336)\/64).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -942 divided by 246.\nAnswer: -157\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12231876 divided by 3\nAnswer: -4077292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5456)\/124 + (-33 - -56)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - m + 2)*(-9 + 12 + 8) + (2 - 2 + 2)*(-11*m + 14*m - 6*m).\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/3, -98, -0.3, 0.11, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, 3\/5, -5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/145 in 11, 33, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g + 3. Let w be v(-8). Suppose -284 = -5*z + q, -q - 4*q + 233 = 4*z. Suppose 2*m = 15 + z. Is w at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677952 at most 1677952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 980.104 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 372, 935, 1986, 3687, 6200, 9687, 14310?\nAnswer: 20231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -210852790 rounded to the nearest 1000000?\nAnswer: -211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -11\/6*z**4 - 25\/2*z**2 + 0*z**3 + 0 + 17*z. Find the first derivative of x(i) wrt i.\nAnswer: -44*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 359837*b + 298*b**3 - 719671*b + 359835*b + (0*b + b + b)*(-2 - b**2 + 2).\nAnswer: 296*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 683 and 0.01.\nAnswer: 683.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14958*d**2 - 16393*d**2 + 2*d - 2*d.\nAnswer: -1435*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6549 is divided by 3253?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21896413421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = 5*v - 19, -5*b - 4*v + 25 = 0. Suppose -4*s - 3*u + 1805 = 0, 0 = 3*s - b*u - 277 - 1113. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 6:27 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12651, -12652, -12653, -12654, -12655?\nAnswer: -12656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 643039 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47416734?\nAnswer: 2, 3, 2634263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llm when three letters picked without replacement from {e: 1, m: 5, l: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-30))\/(2\/(-10)). Let i = -15 + 23. Calculate the remainder when i is divided by 1*(-2)\/((-4)\/z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372*z**5 - 37608*z**4 + 60430*z - 305 wrt z.\nAnswer: 7440*z**3 - 451296*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -411779, -1647101, -3705963, -6588359, -10294283, -14823729?\n\"Answer: d**3 - 411776*d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 206)\/(2 - (2 + -2)). Let a = 95 - r. Put a, 0, -7 in descending order.\nAnswer: 0, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3204017?\nAnswer: 71, 45127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3910 and 1610.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**5 + 4*p**3 + 5*p. Let i(t) = t**4 + 3*t**3 + 4*t. Suppose 2*m = -0 - 10. Let q(x) = m*i(x) + 4*u(x). Suppose q(y) = 0. Calculate y.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekee when four letters picked without replacement from {e: 8, k: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -578018 divided by 4346\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:30 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-525)\/(-168) + -3 + 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232728 to the power of 1\/2, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k**2 + 138*k + 2173. Calculate s(-14).\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.3 less than or equal to 7\/11320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 3*m = -15*k + 17, -4*k = 4*m - 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h + 3. What is r(-3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + 25. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15555925687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89537184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2058402 is divided by 2436.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9339.\nAnswer: 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - (-5 + 2))*124\/90. Which is bigger: n or -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49, -200, -353, -508, -665, -824?\n\"Answer: -k**2 - 148*k + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53034.415 rounded to the nearest one hundred?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114 is divided by 140?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*v + 8. Calculate the remainder when 20 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*l = -l - 31, l + 11 = 4*p. Calculate the smallest common multiple of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaoj when four letters picked without replacement from {v: 6, j: 1, a: 4, s: 3, p: 3, o: 1}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011124 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49317691 and 2889?\nAnswer: 1331577657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-8 - (1 + 8 - 8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*-5*(sqrt(2) + sqrt(18) + 2) + ((-4*sqrt(128)*2)**2 - sqrt(128)) + ((3*(sqrt(2) + -1))**2 - sqrt(224)\/sqrt(7)).\nAnswer: 210*sqrt(2) + 8339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**6\/60 + g**5\/30 + g**3\/3 + g**2 + 38. Let a(y) = -4*y**3 + 4*y**2 + y + 5. Give -2*a(j) + 5*d(j).\nAnswer: -2*j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22170 - -0.3.\nAnswer: 22170.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 4 - (-2 + (16 - 56))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/64)\/((-8)\/(-408)) and -69\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 6786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.2? (a) 91 (b) 11\/5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -16 - (11598 + -11667)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106464146083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:03 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5, 3, -5 in descending order.\nAnswer: 5, 3, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8 - 7*v**2 - 6 + 40*v**3 - 41*v**3 - 5*v. Let f be m(-7). Factor 2*u - u + 40*u**4 + f*u**5 - 109*u**4 + 81*u**3 + 5*u - 39*u**2.\nAnswer: 3*u*(u - 1)**3*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) 4\/269 (c) 2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1 - -7 - (-53809)\/((-35)\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 19*n**2 + n - 20. Let h = 141 - 122. Let y be d(h). Let f be (9\/(-3))\/((6\/10)\/y). Solve f*l = -z + 11, 0*z = -3*l + 3*z + 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -4. Let v = 0.131 + -10.731. Let j = l - v. Is 0.1 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 7. Let n = -4 + h. Solve 5*d = -2*a + 3*d + n, -3*d - 17 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14036 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 66 (b) 72 (c) 0 (d) -0.032 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17636.992 + -17637.7568729. Let c = 0.765 + w. Round c to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.93032 nanograms to kilograms.\nAnswer: 0.00000000000593032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -9, -5 in descending order.\nAnswer: 2, -5, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 4. Let t be (-1 + 0)\/((-1)\/j). Suppose 11*v = 6*v + 20. Calculate the greatest common factor of t and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/12 - s**3\/6 + 4*s**2 - 103*s. Let c be z(-3). Solve 4 = c*g - 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1664 and 241904.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3865 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -8904821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1201 (b) 14 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (222\/4)\/((-24)\/28 - (-45)\/(-70))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 2*m + f, -m - 5*f + 3*f = -94. Suppose -8*v + 12*v + m = 0. Let d = v + 87. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.165 - -0.065. Let s = -1.1 + 0.1. Let i = -7 + 4. What is the closest to f in -0.5, s, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15502\/14 - (-10)\/(-35)) + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 37 + 2. Suppose -l = -5 + x. Solve 4*f + l*f = 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2287010 (base 10) to base 15.\nAnswer: 302975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 706059, 3, -1\/3?\nAnswer: 706059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37847518523 + h**3 + 37847518523.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/3)*a*a\/a**(3\/8))\/(a*a*a**(6\/7)*a**(-1\/5)))**(-1) assuming a is positive.\nAnswer: a**(1987\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541677551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49404*b**3*s**2 - 50*b**3*s + 61832*b**2*s + 159*b*s**2 wrt b.\nAnswer: 296424*s**2 - 300*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-12)\/(-189))\/(2\/(-15)))\/(2\/(-36)). What is f in -12\/7 - 99\/7*f**2 - 60\/7*f**3 - 12\/7*f**4 - s*f = 0?\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azanqig. What is prob of sequence aa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16678696 and 3684.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.01 - 0.39. Let r = -7.5 - p. Let t = r - -2.09999981. Round t to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 4:18 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 - (11 + 9) - (145 + -113).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -1 - (-186)\/(-4 + 7). Let y = -60 + h. Let w(p) = p**3 - 2*p**2 - p + 4. What are the prime factors of w(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*y = 155*y - 72. Suppose b - 2*b = 782. Let x be y + 4 + b - (-2)\/1. What is x rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1640 and 36.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2232, 4463, 6694, 8925, 11156?\nAnswer: 13387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*(-16)\/12. Let u be 4 - s*1\/(-1). Solve 2*z = z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, 187, 596, 1165, 1894, 2783, 3832?\nAnswer: 5041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.66338 times 0.1\nAnswer: -0.166338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c0 (base 14) in base 6?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -3*z + 177 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence add when three letters picked without replacement from akdkkkdkddddkk.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92.3086 + 1.3086. Which is greater: -20 or x?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n**3 + 127*n**3 - 59*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/7426 and -97\/6.\nAnswer: 22278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35, 25, 15, 5, -5, -15?\n\"Answer: -10*c + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71 + 15b?\nAnswer: ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = k - 2. Is 6\/k - 2668\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 24*c**2 - 30*c + 11. Let o be b(-11). Let z = 36635\/7 + o. Factor -4\/7 - 36\/7*p**3 - z*p**2 - 4*p.\nAnswer: -4*(p + 1)*(3*p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oovvvovvvvvvvvvv. What is prob of picking 1 o and 3 v?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a - 16 = 0. Suppose -3*h + 0*g = 4*g - 155, 2*h = a*g + 70. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43 - 44) + (0 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 10, q: 1, n: 5, s: 1}. What is prob of picking 2 p?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y - 1. Let x = -8 + 9. Let d(p) = -p**2 - 2*p + 1. Let i be d(x). What are the prime factors of f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -784*j - 2. Let y be a(2). What is y rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 15*r = 0, -4*r - 5*r + 3 = -r - 5*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14574606 to the power of 1\/2, to the nearest integer?\nAnswer: 3818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 o, 1 s, and 1 a when four letters picked without replacement from vaosveovovosovv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-8))\/((-1)\/(-4))*1. Let y(a) = 5*a**2 + 67. Let z(f) = -12*f**2 + 43 + 16*f**2 + 25. Let r(i) = q*z(i) - 2*y(i). Let b(u) = u. What is b(r(w))?\nAnswer: 2*w**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2. Let x(p) = 5*p + 42. Let t(d) = -8. Let v(o) = 5*t(o) + x(o). Calculate k(v(l)).\nAnswer: -75*l**2 - 60*l - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 7*k - 55. Does 3 divide g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1 plus -16?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 104, 57, -44, -217, -480?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 32*j**3 + 9*j**2 - 7*j**3 - 2*j - 12*j**3 - 7*j**3 - 12 - 5*j**3. Determine x(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 8270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1743 and 11298?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*m**4 - 653*h*m + 26372*h + 4225*m**3 - 458 with respect to m.\nAnswer: -4*h*m**3 - 653*h + 12675*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115 a factor of 3071486249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 35 = -4*i + 3*v, 3*i + 5*v - 19 = 0. Let u = 13 - i. Let p(w) = w**3 - 4*w + u*w**2 - w**3 - 2*w + w**3 - 6. Determine p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -965*y**2 + 4*y**3 + 10 + 971*y**2 - 3*y**3. Is h(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 1. Let l(u) = -6*u**2 + 1 - 3*u + 5*u**2 - 4*u. What is the remainder when v(10) is divided by l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*l - 7276 + 7276)*(2 - 3 + 4) as t*l + v and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338 is divided by 462?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18 - (-1 - -5)\/4. Let t = r + 24. Let m(z) = z. Let g be m(t). Solve 5 + g = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1173389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-3)\/2)*546\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/104414346 and -47\/46406376?\nAnswer: 417657384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -2*z + 400. Let r = -7 - -27. What is the highest common factor of z and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 + -5340204?\nAnswer: -5340175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-12) - 1)*24. Suppose -24 = -0*r - 3*r - 3*d, 4*d = r - b. Solve 2*y - r = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69\/(-6)*36\/(-621)*((-32)\/13 + 2)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-1 - (-20)\/28)\/(65\/(-637)). Which is smaller: f or 2\/323?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -438 in 0.3, 0.5, 0.8, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-18) - 1) + 2\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194774 < -1752961\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 - 69. Let k = m - 32. What is the highest common factor of 4 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 - 1840*z**4 - 74925*z**3.\nAnswer: 5*z**3*(z - 405)*(z + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15090114 is divided by 582.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 169, 631, 1403, 2485, 3877, 5579?\n\"Answer: 155*z**2 - 3*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/7 - 5*n**3\/7 - 6*n**2\/7 + 4*n\/7 + 8\/7.\nAnswer: -(n - 1)*(n + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4\/15*71 + (-4449)\/(-66735)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 2 r when four letters picked without replacement from {v: 4, m: 3, r: 5, n: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85921206 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -637662258, -637662257, -637662256, -637662255?\n\"Answer: r - 637662259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 - 3*x + 1. Let m be q(-3). Let o be -3 + (-3 - m) + -1. Suppose o*i - 186 = 16*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1926*z**2 - 16456*z**2 + 2862*z**2 + 2 in the form q*z + h*z**2 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1109, 1117, 1125?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -171, -280, -401, -516, -607?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -40\/7, -4\/3, -0.1, 8 in descending order.\nAnswer: 12, 8, 1, -0.1, -4\/3, -40\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtee when four letters picked without replacement from {e: 2, t: 12, g: 5}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 380? (a) -447 (b) 1 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605330909?\nAnswer: 43, 14077463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 150\/250 - 177\/(-5). Let s(u) = 2*u - 5. Let i be s(5). Suppose -q - 34 = -i*z. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35877, -2, 194.\nAnswer: -2, 194, 35877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-7\/10))\/(j*j**(30\/13)))\/(j\/(j\/((j**(-4\/15)\/j)\/j))*j\/(j\/(j\/(((j*j*j**28\/j*j*j)\/j)\/j*j*j)))*j) assuming j is positive.\nAnswer: j**(11567\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -4 - 90 - -42?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 4, -6, -12 in descending order.\nAnswer: 4, -5, -6, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*k**(-1\/6))*k**(-8)*(k\/k**(3\/8))**(-4\/37) assuming k is positive.\nAnswer: k**(-766\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.411299685 times -3?\nAnswer: 1.233899055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3288 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {p: 3, l: 1, c: 11}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u. Let j(c) = 10*c - 15*c + 4*c. Determine p(j(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:49 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**5\/7 - 4*q**4 - 44*q**3\/7 + 76*q**2\/7 + 152*q\/7 + 64\/7 = 0.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in -5, -2, -4, 7, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 612293 to the nearest ten thousand.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491280 times -10?\nAnswer: 14912800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofybbvwfw. What is prob of sequence bbo?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/2 and 59\/14893558.\nAnswer: 14893558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 128*n**2 + 1010*n + 97430. What is q(-130)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -5.3333987 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*s**2\/13 - 2306*s\/13 + 170.\nAnswer: 2*(s - 1)*(48*s - 1105)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 26*m**2 + 37*m - 243. Calculate the remainder when 1831 is divided by r(27).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -6, 8*w - 236843 = -5*i + 11*w. What are the prime factors of i?\nAnswer: 2, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x**3 + 427*x**4 + 1 - 429*x**4 - 369*x + 415*x to the form a*x + h*x**2 + v*x**3 + y*x**4 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:16 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 118*c - 1593. Let f be v(50). Sort -0.3, 189, -1, f.\nAnswer: -1, -0.3, f, 189","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42993\/137 or 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.78 to 1 decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*d - 4027 = 0, -f + 3*f + 3*d = 8042. Suppose 3*y = 7691 + f. Is y\/18 + 14\/63 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6919.8183 rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-200) - ((-3)\/(-108) + 0). Let p = 94\/11 + -8. Which is the closest to u? (a) -4 (b) 1\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 3:23 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392972?\nAnswer: 2, 3, 7, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 54*h - 1458.\nAnswer: -(h + 54)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/5))**(2\/17)*(c**6)**31 assuming c is positive.\nAnswer: c**(15824\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times 4\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 50, 91, 148?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 751*a**2 - 14216*a?\nAnswer: 1502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -353 + -10324?\nAnswer: -11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - -2.4. Let x = -11.7 + 79.7. Let s = -68.5 + x. Which is the second smallest value? (a) n (b) 5\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 12*u + 5. Let x be s(-12). Suppose -x*f + v - 5028 = -28584, -5*f + 3*v = -23558. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.1*20.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*s + 141 = 2*o, 5*s - 207 = -2*o. Let m = o - -11. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a factor of 12216151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 24 = -3*k, 211*d - 206*d - 5 = 4*k + 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**3 - y**2 - 8*y - 7. What is j(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62? (a) 2 (b) -0.3 (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60807862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = 5*q - 5*n - 119, 4*n - 19 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 17*s + 17. Let d(b) = 7*b + 7. Let f(n) = -34*n - 34. Let o(c) = 14*d(c) + 3*f(c). Give 2*k(j) + 9*o(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 2:43 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3512*c**2*s**2 + c**2 + 2*c*s - 7*c + 15985 wrt s?\nAnswer: -7024*c**2*s + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**7\/1260 + o**6\/180 + o**5\/60 + 9*o**4\/8 - 4*o**2 - 2*o. Let k(x) be the second derivative of i(x). Factor k(d).\nAnswer: 2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158079551 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.458 + 1.75. Let u = -0.3 + d. Let r = -0.00799938 - u. What is r rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 7, 2, -4\/5, 0.14, -2, 0.06, -27?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 445, -53, -551, -1049, -1547?\n\"Answer: -498*c + 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/(-9) + (-1 - (1 - 0)). Let s be (2\/(-12))\/(15\/(-135)). What is the fourth smallest value in s, z, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6) + (-1)\/2. Suppose 0 = -2*p - 3*u - 12, 2*p + 12 = -q*p - 5*u. Let x = 6 + p. Solve x*y + 10 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*k + 12 = -4*k, 2*w = 2*k + 10. What is the least common multiple of -4 + 4\/(-1)*(-22)\/w and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7399\/3 - 2466. Let l(b) be the first derivative of 0*b + 6*b**4 + 16\/3*b**3 + 0*b**2 + k*b**6 + 12\/5*b**5 + 13. Factor l(y).\nAnswer: 2*y**2*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 35*v = -4370. What is the remainder when v is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 15) to base 3.\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(-2 + 5*(sqrt(68) + 0)) + -4.\nAnswer: -13 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**6\/18 - u**5 - 35*u**4\/12 - 25*u**3\/9 + 89*u + 2. Factor d(h).\nAnswer: -5*h*(h + 1)**2*(h + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -1\/6, -5, -14, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37989 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 5*m + 20 = 0, 2*m + 374 = -3*i + 364 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 1 - 1. Suppose -9 = -3*r + 3*o, 5*r + o - 39 = -p*r. Let u(b) = -b**3 + 4*b - 6*b**2 - 3*b - 2*b + r + 2*b**3. Determine u(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 19*p + 47. Let w be l(21). Suppose -33*o**2 + 9 - 2*o**w + 4*o**4 + o**3 + 7 + 13*o**2 - 8*o + 9*o**3 = 0. What is o?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 >= -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 - 86?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -2 + (-6 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 541632.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**5 + p**2 + p + 1. Let f(s) = 50*s**6 - 2*s**5 - s**4 + 112*s**2 - 2*s - 2. Let i(d) = -2*c(d) - f(d). Find the third derivative of i(t) wrt t.\nAnswer: -6000*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (1 + 23 + 7 + -17 + (1 - 6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 103, 177, 251?\n\"Answer: 74*t - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321\/8*(10\/(-42))\/((-1650)\/18480).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*i + 22, -x + 16 = 2*i - 2*x. Let s be -3 - (-3 - i - 1). Which is the third smallest value? (a) -0.5 (b) s (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(18 - (-272)\/(-17))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 13\/2)*2\/(-5). Suppose 2*x = -s + 1, -3*x = s - 0 + t. Suppose 0 = 2*c + s*b - 25, -b = 3*c - 5 - 13. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let x(t) = -3*t - 1. Let b be x(-3). Let p(g) = 9*g - b*g**2 + 3*g**2 - 9*g. What is a(p(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25738.28 - 1429819?\nAnswer: -1455557.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 776, 1558, 2356, 3170, 4000, 4846?\n\"Answer: 8*t**2 + 758*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3320144 + -33?\nAnswer: -3320232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/88 and 7\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w + 28 - 16 + 16 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) -1\/3 (c) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.5 - 8. Sort 0, 0.3, a in increasing order.\nAnswer: a, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*w**3 + 3 - 6 + 3 + 204*w.\nAnswer: 77*w**3 + 204*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j - 246 - 49 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -12. Let t be (-3 + 7 - 4) + k. Solve -t*x - 37 = 5*i, 0 = -x - 2*x + 3*i + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**4\/4 - h**3\/2 - 7*h. Let t be d(6). What is the units digit of t\/(-6)*(-1)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 4, h: 1, u: 1, s: 1, o: 11}. Give prob of sequence srh.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8054 and 0.4.\nAnswer: 3221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 10 = -5*y, -3*b - 2 - 13 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 329\/3 - 8557\/78. Let w = n + 15\/52. What is f in 15\/4*f**3 + w*f - 7\/4*f**2 + f**5 + 0 - 13\/4*f**4 = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 69 (b) -0.3 (c) -1 (d) -10 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gll when three letters picked without replacement from zgzlllzgzzzz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6867 is divided by 474?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 148*h - 5479. What is b(37)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/21)\/((-83)\/65072*-28)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.605309 + -9.6. What is d rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + y + 4 = 0, -5*s + 3 = 3*y - 5. Let x(z) = 2 - 1 + 61*z - 24*z + 0. Is x(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006258 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2716, 2741, 2766, 2791?\nAnswer: 2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 - 26*c - 60 = 0 for c.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f, 3*b + 0*f + 9 = 5*f. Let w(p) = -p**3 - 3*p - 7. Let j(q) = -2*q**3 - 5*q - 13. What is b*j(s) + 5*w(s)?\nAnswer: s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 1803343.\nAnswer: 10\/1803343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23*(-7 + 3 + -2). Let j be 0 - 0 - q - (-1 + -1). Suppose -4*f - f = 5*h - j, h = f - 30. Calculate the remainder when 83 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v - u - 8, 12 = 2*v - 3*u. Let d be 4\/10 - (-346)\/10. Suppose -d = -2*z - v*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -20*q. Let v(x) = -x**2 + 2*x. Let f(l) = -l**2 + 4*l. Let w = -201 + 199. Let r(b) = w*v(b) + f(b). Determine g(r(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w + 9 = 0. Let g = 0 + w. What is the remainder when 33 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)*l**(-2\/7))\/(l*l*(l\/l**(2\/5))\/l*l)**(-42)*(l\/((((((l\/(l*l**3))\/l)\/l)\/l)\/l)\/l)*l**3)**(2\/105) assuming l is positive.\nAnswer: l**(3063\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i**4 - 1\/2*i**2 - 1\/7*i**7 + 119 + 0*i - 74\/3*i**3 + 0*i**6 - 9\/5*i**5. What is the third derivative of c(b) wrt b?\nAnswer: -120*b**3 - 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1011254866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*s - 2*x, 0 = -5*x + 2*x - 12. Let j be (s\/10)\/((-6)\/4). Let b = 0 - -0.3. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*((sqrt(112) + 2)*-3 + -1 + sqrt(112) + 3) + 0)*3)**2*4.\nAnswer: 55296*sqrt(7) + 400896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.4 (b) -1 (c) -0.08 (d) -149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140098336 divided by -224?\nAnswer: -625439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 1305*r**2 + 5*r + 1305.\nAnswer: -5*(r - 1)*(r + 1)*(r + 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/51, -2, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19134181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6260 < -3412063\/545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.741 times -74599.7\nAnswer: -55278.3777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63 + -a?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/66 - 86\/(-110).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 3*v**2 + 3*v**2)*(129 - 129 - 15*v**3) - v**5 - 3*v**5 + 3*v**5 + 0*v**3 + 0*v**3 - v**5 + (4*v**3 - v**3 - v**3)*(0*v**2 + 0*v**2 + 2*v**2).\nAnswer: -28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -240, -0.3, -26, 2, -2\/19?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -366476 divided by -6\nAnswer: 183238\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 251 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 5. Suppose -2*p = 22*p + 120. Let n(d) = d**2 - 7. Let a(q) = p*n(q) + 7*f(q). Let b(k) = 226*k**2. Give b(a(v)).\nAnswer: 904*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 4*j**5 - 5*j**5 + 2*j**5 + 4*j**5 + 0*j**5 + (3*j - 3*j + 8*j**2)*(-2*j**3 + j**2 - j**2).\nAnswer: -13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -18. Which is the third biggest value? (a) 0 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 7\/4*c**4 + 0*c**5 + 11 + 0*c - 35*c**3 + 0*c**2 + 7\/6*c**6. Find the third derivative of s(v) wrt v.\nAnswer: 420*v**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d + 7. Let o(p) be the first derivative of -7*p**2\/2 + 6*p - 133. What is -4*h(m) + 5*o(m)?\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 3676*p + 3676*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000507342 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684190 is divided by 140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c + 7. Calculate the remainder when 23 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/4*4\/(-3). Let w be ((-15)\/12)\/(a\/(-8)). Suppose 44 = 5*v + 19. Put w, 2, v in ascending order.\nAnswer: w, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 75\/(-10)*(-2)\/3. Suppose -c*r + 1103 = 3*t, -207 = -0*r - r - 4*t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -376.2 + 368.505. Round j to 1 dp.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -19*i**3 + 1013*i**2 + 681*i + 1070. Calculate u(54).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -41. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4398624.\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 24 + 112 + -140.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - 2) + 1 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -317?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260844817.\nAnswer: 23, 271, 41849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -6) + 14 + 0 + -22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3059 - -3059.01. Suppose -3*l + 5*h - h = 23, 2*h - 14 = 2*l. What is the nearest to -3 in a, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 9*q**2 - q - 3. Suppose 16*h - 13*h + 30 = 0. Let w be h\/4*90\/25. What is i(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 40*x**3 + 16*x**4 + 32*x**2 + 13 + 11\/5*x**5 - 16*x. Factor y(h).\nAnswer: (h + 2)**3*(11*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 4*j**3 - 4*j**3 + (-j**4 + 2*j**4 + j**4)*(j + j - 4*j + (1 + 2 - 1)*(4*j - j - j) + j + 0 + 0).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -12, -7, 2, 15, 32, 53?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.0456476 to two decimal places.\nAnswer: -8.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -58642, -117318, -175982, -234628, -293250, -351842?\n\"Answer: j**3 - 58683*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 1, e: 1}. What is prob of picking 1 z and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1097*y**2 + 1095*y**2 - 23 - 65 - 2194*y**2. Let d(w) = 0*w - 2*w + w. Calculate d(n(h)).\nAnswer: 2*h**2 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25)\/sqrt(5) - sqrt(5)) + -3)**2 + 3*1*sqrt(5).\nAnswer: 3*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2772322 and 339468?\nAnswer: 16633932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:29 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.5 - 5. What is the biggest value in 0, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 6*l + 5. Let z = 88 + -85. Let c be d(z). Is c <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3317, 6621, 9919, 13211?\n\"Answer: -3*m**2 + 3313*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h. Let l = -5 - -8. Let m(n) = -n + 2*n + l*n**2 + 1 + h*n**2 + n**3 + n. Determine m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24711.\nAnswer: 3, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*d + 5*u, -2*d + u - 3 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 167?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/478576 and 73\/17092.\nAnswer: 478576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.5 (c) -215 (d) -0.13 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1, -3, 14\/13, 7, -0.31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 9. Let a(r) = -4*r + 8. Let v(u) = 3*a(u) - 2*l(u). Let o(g) = -2*g. Give v(o(t)).\nAnswer: 8*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -421, -1352, -3177, -6196?\nAnswer: -10709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 275497.032 rounded to the nearest 10?\nAnswer: 275500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-40)\/6800*17 - (0 - 8222\/20) is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 * -13366544.\nAnswer: -28069742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 105. Determine q(19).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009980028 to six decimal places.\nAnswer: 0.00998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + 1 + -2 + 1. Let i be (-2)\/3 - w\/(-12). Is 1*(-2 - i) - -97 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 212*d**2 + 14*d - 13. Let u be t(1). What is u rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (1 + (10 - 16\/4)). Let p be 4\/((-8)\/z) + (-1)\/2. Solve 3 = m + 2*a - 4, 3*m - 19 = -p*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -18*x + 2. Let q(o) = 51*o - 286. Give -3*h(z) - q(z).\nAnswer: 3*z + 280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 3*c**5\/20 - 7*c**2 + 4*c + 7. Find the first derivative of r(u) wrt u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67695670 and 40250?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 318\/8*(-4956)\/2891*28\/36.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + c + 39, 20 = -5*c. Suppose h = t - 5. What is the derivative of 3*l**h - 12*l**2 + 6 + 0 - 4 wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -1 (b) -2\/3 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 9. Let n = 2153\/234 + -115\/26. Calculate the common denominator of n and (o\/(-4))\/((-9)\/(-95)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyippiypcyppppyppcy. What is prob of sequence cyip?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.69 - -4. Let a = i + 0.81. Round a to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c**2 + 5*c**2 - 36*c**2 - c + 6*c**2 - 29*c**2.\nAnswer: -84*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/(-22))\/((-1)\/26). Suppose -5*m - 3*g + n = 0, -2*g - 2*g = -4. What is the common denominator of -41\/50 and 959\/(-63)*m\/4?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51152 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 12:16 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3915026 by -766.\nAnswer: 5111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-987)\/(-42) - (1 - 2)\/(-2). What is the second derivative of -32*j + 4*j**3 + i*j**2 + 94*j - 10*j + 68*j + 4*j**2 wrt j?\nAnswer: 24*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a + 2?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3936, -88, 78 in increasing order.\nAnswer: -88, 78, 3936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14167213.\nAnswer: 661, 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.000116 - 20. What is z rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by -1\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 21*k - 2, 86 = 5*y + k. Suppose 49 = 3*a - 2*s - 55, -a + 12 = 5*s. Let i = a - y. What is the greatest common factor of i and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7375 + 14746 - 11869*j - 7371)*(-2*j + 0 + 0).\nAnswer: 23738*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/10 and 83\/732?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 12*x + 17. Let t be h(-13). Suppose -8*d - 156 = -t*d. Let a = d + 135. Is 26 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyyoooleyeyjjoellyeo. Give prob of sequence lool.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5540 and 1815?\nAnswer: 2011020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000055116 to 7 decimal places.\nAnswer: -0.0000551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 5*g + 2. Let r be x(-7). Let f = 16 + -28. Let y = r - f. Solve 3*a + a + 12 = y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + g + 4*g)*(-3*g**2 - 24*g**4 + 11*g**4 + 11*g**4 - 1).\nAnswer: -18*g**5 - 27*g**3 - 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 426733296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 4*n - n + (2 - 2 + 6)*(-n + 0*n - 2*n) - 5 + 10*n + 5.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116.7 + -113.7. Which is the nearest to 3\/7? (a) -79 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s + 2. Let b be m(2). Suppose b = 4*c - 3*k - 85, -5*k = 3*c - 8 - 34. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 903*c**4 - 1340*c**2.\nAnswer: 21672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1, 0.5, 2\/5 in descending order.\nAnswer: 1, 0.5, 2\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3)\/(743\/743).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-3*-5)\/sqrt(12))\/((5*sqrt(336)\/sqrt(7))\/sqrt(8)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 7875 = 15*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:20 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 35735041.7?\nAnswer: 35735041.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, 2, 5, -14, -10, -2 in descending order.\nAnswer: 5, 2, -2, -10, -14, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 454609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((36\/126)\/((-8)\/7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56*(-21)\/1932*-138?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1428.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.6598 - -36.5068018. Let k = -0.153 - h. Round k to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002211 (base 3) in base 16?\nAnswer: 5fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 2*y + 6. Let d be v(-5). Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -6310?\nAnswer: -6304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zavaazzaa. Give prob of sequence vazz.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 28 = -5*u, 2*u - j + 3*j = -16. Let m(f) = -f**2. Let t(k) = 6*k**2 + 4*k + 4. Let b(q) = -5*m(q) - t(q). Give b(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -95849 and -0.2031.\nAnswer: 19466.9319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2256 - -52.\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300, -652, -1004, -1356?\nAnswer: -1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 4\/5 (c) 2\/5 (d) 4 (e) 8525\/4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 256 = -2*p - 0*n, -3*n - 261 = -2*p. Suppose t - p = -3*v, -3*v + 3*t = -8*v + 201. What is the remainder when v is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*m - 30, -m + 7*z - 15 = 2*z. Suppose 13 = -r - m*i + 8*i, -4*r + 5*i = 17. Solve w - 5*b - 8 = -r*b, -4 = 3*w + 5*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 0.08\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9475\/1*(-8)\/(-12)*(-6)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72800 and 191620.\nAnswer: 53653600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 2053*k**3\/3 + k**2 - 537*k - 1049. What is the second derivative of v(g) wrt g?\nAnswer: 4106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(648\/(-486)*(-1 + (-7)\/(-4))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.138 in 169, 1\/4, 6\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/8*16\/(-6). Let h = -20 - z. Solve h = -2*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116992958?\nAnswer: 2, 58496479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 7*a + 1\/3*a**3 - 3*a**2 - 3. Let u be c(5). Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*q - 219, -3*k - 2*k + 15 = 0. Let i = q - 38. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 8*d**2 - 6*d + 9. Let h be m(-7). Suppose -2*i = -5*b - 1 - 1, 4*i + 12 = h*b. Suppose 3*t = 1 - 13. Which is greater: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 16*a**2 - 19*a - 3. Let b be w(15). Let v = b - -83. Calculate the smallest common multiple of 4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/10)\/1)\/((-709)\/(9131920\/(-552)))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + a + 90 = -4*a, 3*u + 2*a - 39 = 0. What is the common denominator of -3 + (1 - 265\/u) and 44\/19?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2 + 1\/4*g**5 + g**4 + 0 - g + 3\/4*g**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - 1) - -4 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 3, -66, -191, -390, -681, -1082?\nAnswer: -1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2 + 51002668*p + 325159017889778 = 0.\nAnswer: -12750667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + z. Let p(s) = -2*s**3 + 3*s**2 - 6*s. Let q = 33374 - 33380. Calculate q*l(b) - p(b).\nAnswer: 8*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllhlllllllllllllllh. What is prob of sequence hll?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*c*f**2*k**3 + 2*c*f*k**3 - 2*c*k + 201*f**2*k**3 - 5*f*k**3 + k**3 + 7*k**2 wrt f.\nAnswer: 22*c*k**3 + 402*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -0.03, -3\/5, -1, -3.81?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = 10*n - 18*n + 6, 0 = -4*s + 4*n - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/1002 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7367 = -78*p - 262*p + 2607 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1713*q**3*x - 2*q**3 + 17427*q**2*x - q*x wrt q?\nAnswer: -10278*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-5 - (0 - -2)) - (-12 + 8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/66997 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 434*l - 9*l**2 + 437*l - 871*l. Let n(f) = 2*f**2 + 0*f**2 + f**2. What is n(i(u))?\nAnswer: 243*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 + 23 = 2*t, -3*t - 3*j + 39 = 0. Calculate the remainder when 38 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 110 = 10*w, 5*w = 362*h - 358*h - 54 - 31 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 3*x - 3*x + (-1 + 1 - 2)*(-x - x + 4*x) + 2*x - 5*x + 2*x + (4*x + 0*x - 5*x)*(-3 - 2 + 2 - 5 + 1 - 1 + (1 - 3 + 3)*(-1 + 0 + 3) + 0 - 1 + 0).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*r - 1423 - 1087 = 0, -2*p + 2*r + 4996 = 0. Calculate the greatest common factor of p and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3238018.\nAnswer: 2, 7, 19, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(77)*-1 + (sqrt(77) - -2*(sqrt(77) + -1*sqrt(77))))\/((-4*sqrt(56)\/sqrt(2))\/((sqrt(4) + sqrt(8)\/sqrt(2))*4)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2898048l to millilitres.\nAnswer: 289.8048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.126 - -0.407. Let c = d + -0.483. Put 0.1, -0.2, c, -5 in descending order.\nAnswer: 0.1, c, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*n + 52 + 82, 3*n = 9. What is the least common multiple of 5 and k\/35*(-15)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -3264?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:46 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 17*t + 11. List the prime factors of k(14).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*y**3 + 365*y**3 + 1134*y**3.\nAnswer: 1612*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -1842.4.\nAnswer: -1842.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*y + 10*y - 61*y + 5 - 7.\nAnswer: -221*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + u = 14. Let d = -2.3 + 3.2. Let m = -4.1 - d. What is the smallest value in u, -2\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a + 5 - 5)*(-3 + 5 - 6 - 2*a).\nAnswer: -10*a**2 - 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = -3*i + 1, -7 = 3*i + 4*r. Let x be -2 - i\/((-12)\/232). Let y = 68 + x. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 408434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 95850773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17) + 4 + 4 + sqrt(17) + sqrt(17)*-3 + (0 + (2 + sqrt(17))**2 + 5)*2 + 5.\nAnswer: 7*sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 1a6?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.1. Suppose 0 = 10*u - 8*u + 10. What is the second biggest value in q, 1\/2, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 30 = 6. Is r - (4 + 1\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 8, 37*y = 39*y - 3*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43960089.6 rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (-6 - (-48)\/20)*-5. What is the closest to n in 0.3, -4, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001032 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tutttttuuut. Give prob of picking 1 t and 3 u.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30067599871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3974819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b - 9. Calculate k(9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 1, 2, 1\/5, 48\/121?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1) + 8\/8. Suppose -2*y - 66 = -5*d, -s*d - 5*y + 15 = -23. What is the smallest common multiple of 10 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5230)\/(-2786) + -2 - 61\/(-427). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 + 68. Let w = -25 - c. What is the second smallest value in 1, 5, w, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 50 = -4*h. Let r = 2 + h. What is the greatest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c = 64*c - 1782. Suppose c + 207 = 3*x. Calculate the remainder when x is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 273 = 37*q. What is the lowest common multiple of 71 and q?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.697 rounded to 0 dps?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68cb - de?\nAnswer: -69ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.136556 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59958 (b) 1 (c) -2 (d) 1\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**3 + 2. Let o(c) = -8*c**3 - c**2 + 3. Give 2*o(l) - 3*p(l).\nAnswer: 8*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*r - 16 - 2 - 26*r to q*r + n and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.89 - 63.2. Let u = 16 + p. Which is the second smallest value? (a) -5 (b) u (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/24 and 115\/22308.\nAnswer: 44616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*s - 2*n + 1, -21 = -5*s - n. Suppose -s*i + 114 = -1734. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 6*v**2 - 9*v + 4. Determine z(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1812 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 207 = -237 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Let y(l) = -l + 2. Let k be y(5). Let x be k*(-1)\/((-3)\/(-3)). Solve -f*o = -x - 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20468 (base 10) in base 11?\nAnswer: -14418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * 72.\nAnswer: 2664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534, -1071, -1606, -2139?\nAnswer: -2670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-41))**(-3\/20) assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*r + 68, -9*r + 4*r + 5 = 0. Suppose -2*g = -q - 48. Let w = 63 - 1. What is the greatest common factor of w and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) -3\/4 (b) 0.2 (c) 3\/10 (d) -6\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 72 = 5*j. Suppose -j = -0*l - 3*l. Suppose -368 = -l*a + 2*a. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/75, -0.3, 3, 0.2 in descending order.\nAnswer: 3, 0.2, 8\/75, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g = 170*g - 78*g + 2280 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -3, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1\/12 (c) -1\/4 (d) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71\/2 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -20*y - 6. Suppose -10*d - 20*d + 390 = 0. Calculate the remainder when s(-4) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22650 + 2022 + 13402 + 9140 = -366*v for v.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -8, -0.2, 27\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*h = 143*h - 9, 2*o - 17 = h. What is the highest common factor of 23110 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 59 = -5*z, 4*z = 3*z - 2*q + 13. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let g(z) = -34*z + 5*z + 19*z**2 + 37*z**2 + 29*z - 2. Determine u(g(x)).\nAnswer: 56*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2. Let r(n) = -5346*n**2 + 7*n - 7. Let j(t) = -237900*t**2 + 312*t - 312. Let p(m) = -7*j(m) + 312*r(m). Calculate p(o(d)).\nAnswer: -10608*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - 12*8\/(-40). Let r(n) = n**2. Let o(v) = -3*v**3 + 4*v**2 + 2. Give a*r(d) - o(d).\nAnswer: 3*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 862000171 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 430 and 344?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m - 1. Suppose -5*z = 59 + 6. Let p = z + 6. Let v(g) = 1. Let l(s) = 4*s + 12. Let f(o) = l(o) - 12*v(o). Determine p*f(u) - 2*n(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.77 - 0.23. Let f = -0.1 - 3.9. Let g = f - l. Which is the nearest to 1? (a) -3\/2 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 29 - k - k + 0*k + 32 to j*k + f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 7?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, r: 1, p: 2}. Give prob of sequence pp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (124\/(-8)*2)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15704928 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20482 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -97*w. Let h(n) = -182*n. What is h(b(z))?\nAnswer: 17654*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*v + 10. Let q(i) = -i + 12. Let u be q(7). Let b(p) = -p - p + u - v*p + 7*p. Calculate b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 1:11 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/108 (b) 4 (c) -304 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 5*o - 2. Let b be h(6). Suppose 75063 - 543063 = b*x. What is x rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -9. Let q = f - 8.00061. What is q rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1604776*h**3 + 15*h - 1604756*h**3 + 35 - 18 - 17.\nAnswer: 20*h**3 + 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t. Let g(s) = -4*s + 23. What is g(q(k))?\nAnswer: 20*k + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 6:57 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/(-756)*(-78)\/(-10)*-6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 235 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 9*q**2 - 6*q - 10. Let b be v(8). Suppose -4*s + 9*s - 30 = 0. What is the greatest common factor of b and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/2 + 8525889*h - 72690783240321\/2 = 0 for h.\nAnswer: 8525889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41544 - -444343?\nAnswer: 402355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6644*s**2 + 1280?\nAnswer: -13288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 6, y: 8}. Give prob of picking 2 k.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -481531 or -3370721\/7?\nAnswer: -481531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 114899633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8398552 millennia?\nAnswer: 8.398552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k + 3*w - 7*w - 288 = 70, 0 = 4*k - 5*w + 30 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140282389 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -5, -2.02, 5\/3, 18 in descending order.\nAnswer: 18, 5\/3, 1\/13, -2.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2310476*a*y**3 + 3*a - 7*w**2*y**3 - 5176095*w**2 wrt y?\nAnswer: 6931428*a*y**2 - 21*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -12) + 31 + 8 + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:10 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/168 and (-5)\/2*(-2592)\/2400.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000993 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2466718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - -12 - (3 + -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115151373 and 1827?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.2637 micrometers in meters?\nAnswer: 0.0002462637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9\/98, 4, -0.3, 3?\nAnswer: -9\/98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxx. What is prob of sequence xxl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m\/((m*m\/m**(1\/4))\/m))\/m*m))\/m**(-2\/9))**(1\/4) assuming m is positive.\nAnswer: m**(-1\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -120510 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -1\/3, -3432, -29, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139543 is divided by 1048?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382532 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5324 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566557275*f**2 + 566557265*f + 10 = 0. What is f?\nAnswer: -2\/113311455, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let y(w) = -35*w**2 - 18*w - 6. What is y(r(u))?\nAnswer: -35*u**4 - 18*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 262832347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bddkcfkkbggf. What is prob of sequence gf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.33 - 46. Let j = 0.13 - v. Let w(u) = -2*u**2 - u + 1. Let a be w(-2). What is the nearest to j in -4\/9, a, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4152.52 + 3997. Round u to the nearest integer.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -13*a + 3. Let b be u(-3). Let x = 19 - 25. Let d be 1 + -1 - (x + 0). Calculate the highest common factor of b and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170640 or -170645?\nAnswer: -170645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*z**5 - 125666*z**3 + 106872306*z + 1 wrt z.\nAnswer: 380*z**3 - 753996*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30.0977 times -0.1\nAnswer: 3.00977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2225323, 4450624, 6675923, 8901220, 11126515, 13351808?\nAnswer: 15577099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 2 - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133157959.\nAnswer: 11, 269, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1 - (-1 + 6 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201100 - -12?\nAnswer: -201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**3 - 3*v**2 - 16*v + 30. Let k(y) = y**3 + 8*y**2 - 5*y - 5. Calculate the remainder when k(-6) is divided by o(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11. Suppose j + 1 - t = 0. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002240360539 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8247641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001 - -10011?\nAnswer: 10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*o**3 + o**2 + 2*o**3 - o**2.\nAnswer: -41*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1614*r - 2. Let y(x) = x. Give d(y(k)).\nAnswer: -1614*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**6\/120 - t**5\/12 - t**4\/12 + t**2 - 4. Let h(q) be the second derivative of k(q). Determine h(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 1, t: 1}. Give prob of sequence xtw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24855623 to the power of 1\/2, to the nearest integer?\nAnswer: 4986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**5\/5 - 3*j**4\/2 - 4*j**3\/3 + 3*j**2 + 5*j + 99. Let q(t) = 0. What is t?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -3\/17 (c) -2 (d) 106460\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -16*q - 6. Let s be v(-1). Let c = -470 - -478. Solve 13*u - s = c*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttor when four letters picked without replacement from rororooorrmorrotomro?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(117) + -1 - -1*sqrt(117)*5 - ((-1 + sqrt(117) - sqrt(117))*3*6 + -2)**2.\nAnswer: -398 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.773373mg in grams?\nAnswer: 0.001773373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 187, 270, 339, 388, 411, 402, 355?\n\"Answer: -k**3 - k**2 + 93*k + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2. Let y be 184\/1656 - (-1)\/(-9). Let z(c) be the second derivative of 0 - 17\/12*c**4 + 0*c**3 - 9*c + y*c**2. Give f(z(a)).\nAnswer: 578*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 9*s - 18 = -5*o, o + s = 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w = 0. Suppose -2*j - j + 9 = w. Suppose -f + 2 = -j. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)*w*(w**(1\/4)\/w*w)\/w)\/(w**1)**(-6\/11) assuming w is positive.\nAnswer: w**(-229\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 885461659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9808, 39031, 87736, 155923, 243592?\nAnswer: 350743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.01 plus -1002?\nAnswer: -1061.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(-12672)*-12*(-2)\/(-10)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 578112995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (63\/6)\/(4\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.6887822 nanoseconds to weeks.\nAnswer: 0.0000000000001416811875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1907, -1, -4, -87, 1.\nAnswer: -87, -4, -1, 1, 1907","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 40847 - 29059. What is the remainder when l is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5776.96 + -5777. Let s = 215 - 3227\/15. What is the fourth smallest value in -1, -0.4, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*o**3 - 259*o**3 + 87*o**3 + 90*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 - 8*z\/3 - 10\/3.\nAnswer: 2*(z - 5)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219177500 to the nearest integer?\nAnswer: 14805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -211, -196, -165, -112, -31?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1720*i**2 - 37838*i - 35. Give n(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/28*(-1 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34967 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4. Let c(x) = 29*x - 30*x + 2 + 3. What is -2*c(q) - 3*j(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x - 8 = 40*x - 3*k, -k = 5*x + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 23) + (7 - 0) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4528\/14 - 12\/(-21).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 18 = 2. Suppose 3*p + 15 = 2*m + 2*m, 0 = 2*m - 2*p - 6. Let j = m - i. Calculate the lowest common multiple of 8 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*z - 7. Let d = 9 - z. Suppose d*l - 4*u - 80 = 0, 0 = l - 3*l - u + 46. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 0*z**3 + 2*z**2 - 1\/2*z**4 - 4*z - 1\/20*z**5 + 0. What is n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - 114*j + 752. Determine c(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -13. Let p be 471\/(2\/(184\/f)). Suppose -g - p = -1022. What is g rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*154*(-18)\/48 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10028518.9 and 1845.1.\nAnswer: 10030364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 624982*p + 13810*p - 10 + 275494*p + 8. Let g be d(7). Round g to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/(-14) + -8)*7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 115.\nAnswer: 1, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1679 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 247*d + 3461. Let v be s(-14). Determine x so that 0 + 0*x - 11\/3*x**v - 5\/3*x**2 - 7\/3*x**4 - 1\/3*x**5 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2112 (base 3) to base 14\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 2*a**5\/5 + 3*a**2 - 5. Find the second derivative of n(f) wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 97248.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 104*c - 979. Let i(n) = 21*n - 195. Let w(v) = -2*d(v) + 11*i(v). Calculate w(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 217, 194, -29, -446, -1051, -1838, -2801?\n\"Answer: s**3 - 106*s**2 + 288*s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14 - 4*l**3 + 2*l + 7*l**2 + 3*l**3 - 16*l**2 + 16*l**2. What is j(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, -3, 46, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 0*z**3 + 4*z - 1\/3*z**2 + 1\/18*z**4 + 0. Determine g, given that p(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 2, z: 4, x: 1, n: 3}. What is prob of picking 1 e and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**2 + 2050*c = 0.\nAnswer: -410, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 7}. Give prob of picking 3 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let g(r) be the first derivative of 0*r + 0*r**2 - 4\/3*r**3 + 4. What is d(g(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 9. Does 10 divide o(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*k + 298, -2*c + 3*k = 4*k - 143. List the prime factors of c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - 8 - (-16 - (40 - 36))) - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 798896.54 less than -99902?\nAnswer: -898798.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21269, -20556, -19367, -17702, -15561?\n\"Answer: 238*q**2 - q - 21506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1473 times -8\nAnswer: 11784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*d**3 - 657*d**3 + 1322*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/2*47\/(-658).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 11892 - 7478 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1597693c + -5?\nAnswer: 15976937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 3, w: 6, p: 3, h: 1, j: 1}. What is prob of sequence zj?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/20 and 33\/476896.\nAnswer: 2384480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2980*t - 2356*t + 1272*t - 2629*t + 1315*t in the form l + k*t and give k.\nAnswer: -5378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14870*s**5 - 2*s**3 - 253446*s**2 + 1 wrt s.\nAnswer: -892200*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-700))\/((51\/(-170))\/((-4)\/(-4)))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gzxgxz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8)\/(46\/(-1012))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 59 (c) 2\/13 (d) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 5, 6, -2.\nAnswer: -9, -2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (97 - (-3)\/(-9)*0). Let l = k + 192. List the prime factors of l.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 - 54260*d + 596376 = 0. What is d?\nAnswer: 11, 13554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50086 - 200343\/4. Factor 1\/4*r**3 - r**2 - u*r + 1.\nAnswer: (r - 4)*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175043\/14 + 12496. Let u = 12347\/112 - 787\/7. What is the common denominator of u and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, d: 5, s: 2}. Give prob of picking 2 d.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1792*k**2\/5 + 96050*k + 1608\/5 = 0. Calculate k.\nAnswer: -3\/896, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from nknnknnnnnn?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -22490?\nAnswer: -22488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/2 - 35373*n**2\/2 - 1346340*n - 25594178 = 0.\nAnswer: -38, 35449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 + 4*c**2 + 6*c - 2. Determine n(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 + 510.\nAnswer: 512.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3701\/20 + -924\/5. Which is the nearest to j? (a) -0.8 (b) 3\/8 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -31568 - 31579 + 63174 + 162*d. Let j(t) = -23*t - 4. Determine 4*h(s) + 27*j(s).\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(10)\/sqrt(32) - (3 + sqrt(5) + 1 + sqrt(5))))**2 - (1 + (sqrt(45))**2 + 3 + 0).\nAnswer: 3725\/16 + 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 725*(-5)\/(-100) + -37?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -468*l + 2011. List the prime factors of o(-45).\nAnswer: 23071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -1184, 6, -68, -5, 4 in decreasing order.\nAnswer: 6, 4, -2, -4, -5, -68, -1184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1845.5 or -3.917?\nAnswer: -3.917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 5*g = -227, -2*s + 6*s + 7*g + 133 = 0 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 3, 4, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1 - sqrt(108) - (sqrt(243)*4 + sqrt(243) + sqrt(3)) - (-3 + 1 + sqrt(147) + -4))**2.\nAnswer: -742*sqrt(3) + 8476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 276451, 276449, 276449, 276451, 276455?\n\"Answer: h**2 - 5*h + 276455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -18 + 38 + -2 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7609, -14557, -21609, -28771, -36049, -43449, -50977?\nAnswer: -58639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**7\/7 - 114*r**5\/5 - 19*r**3\/3 - 5*r**2\/2 - 143. What is the third derivative of w(y) wrt y?\nAnswer: 120*y**3 - 2736*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21986 + 21052.3. Let z = -934 - n. What is the nearest to 0.01 in 0, 0.04, 2, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649299 - 2*l - 649299 - 33*l**3.\nAnswer: -33*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 4*f**2 + 4. Suppose -2*v = -3*b - 2, 2*v + 2*v = 3*b - 8. Let n be a(b). Solve n*l - 20 = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + 1 - 2*d)*(5 + 12 - 6).\nAnswer: -11*d + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeseeeeeesesess. What is prob of picking 1 e and 2 s?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 164a7409 + 3?\nAnswer: 164a740c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 2)*(3 - 1 + 0)*(-187*w**4 + 14031*w - 14031*w - w - w**4 + w + (-5 - 1 + 4)*(w**4 + 3*w**3 - 3*w**3)).\nAnswer: -2660*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1767*w + 555*w + 340*w)*(6 - 9 - 6) to c*w + s and give c.\nAnswer: -23958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 + z**4\/12 + z**3\/2 + 2*z**2. Let k be n(-2). Calculate the lowest common multiple of 22 and (-43)\/(-2) - k\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 76*c - 48. Let i be s(-26). Solve 0*q + i = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3291, 3291, 3289, 3285, 3279, 3271, 3261?\nAnswer: 3249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -429 - -475. Suppose 90 = 5*c + 3*f, 49*f = -3*c + j*f + 48. Let v = 9 + -6. Solve 7*o + 11 = 5*o - k, -3*o - c = v*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436146 is divided by 436105?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - w - 988, -2*n = -w - w + 494. Let u = n + 844. What are the prime factors of u?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - -1) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d - 4*v, -2*d + 3*v + v = -4. Suppose 0*g = -d*g + 48. Suppose 0 = 14*a - g*a - 132. What is the lowest common multiple of 14 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 69, 29, 3\/5, -4, -0.9 in decreasing order.\nAnswer: 69, 29, 3\/5, -0.5, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9589.09 nanometers to meters.\nAnswer: 0.00000958909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(sqrt(39) + (2*sqrt(2496) - sqrt(39))))\/((-1*sqrt(2700))\/sqrt(9)).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -28886365?\nAnswer: 28886368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from sddmd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 2*i + (i + 3*i - 3*i)*(0 + 2 - 3) - 2*i + 5*i - 4*i - 13*i + 25*i - 9*i - 6)*(7*i - 3*i - 2*i).\nAnswer: -2*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*t**5 + t**3 - 1753*t**2.\nAnswer: 3660*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1365 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z**2 + 9*z - 212. What is the tens digit of g(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1720 = 32*c - 36*c. Suppose 0 = -y + 4*q + c, -8*y - 5*q - 1731 = -12*y. List the prime factors of y.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*g - 4*g - g)*((2 + 113*g - 3 - 122*g)*(2 - 2 + 3*g) - 2*g**2 + 4*g**2 - 3*g**2) as u*g**2 + z*g**3 + o + f*g and give z.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/889 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 9, -w - 3*g - 11 = g. Calculate the least common multiple of 16 and w\/(43\/14 - 3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 877603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 227423 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 31314 and -127231393.\nAnswer: -127200079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*j + 79*j - 40 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.09 + 2.29. Let c = -140 - -140.4. What is the closest to -1 in -1, c, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-2\/9))**(1\/9))**9)**(21\/2))**(-17) assuming j is positive.\nAnswer: j**(-833\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b**3 - 22*b + 39*b + 36*b**3 - 17*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1567711*x**2 + 3*x + 33402?\nAnswer: -3135422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/8 and ((-3)\/(-138))\/((-7)\/(-399))?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*p + 27*p**2 + 2*p**2 + 10*p wrt p?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3263?\nAnswer: 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -401, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12818*x = -12977*x + 18285 for x.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -433\/6 + 72. Let i = 12.559 - -6.441. Which is the third smallest value? (a) 3 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*x = 126*x - 3634 - 650 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48c836 (base 14) to base 2.\nAnswer: -1001100000101011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**12\/v*v)\/v)**7 assuming v is positive.\nAnswer: v**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 4*d**2 - 45*d + 162. Determine t(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -4677?\nAnswer: 4702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.61956 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9250 and 593702.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 + 316*y + 3119. What is c(-9)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7787, 7637, 7497, 7373, 7271, 7197?\n\"Answer: v**3 - v**2 - 154*v + 7941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -17, -42, -83, -146, -237, -362, -527?\n\"Answer: -r**3 + r**2 - 11*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 14. Let g(r) be the third derivative of s - 1\/60*r**6 - 2*r**2 + 0*r + 0*r**3 + 0*r**5 + 1\/12*r**4. Factor g(y).\nAnswer: -2*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -5\/4 (c) -26\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 2 - 3 - (-12 + 0 + 17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 - h**2)*(-2*h**3 + 0*h**3 + h**3) + h**5 - h + h - 2*h**5 + 2*h**5 - 2*h**5 + h**5 - 6*h**5 + h**5 + 0*h**5 - h**5 + 0*h**5.\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79337166?\nAnswer: 2, 3, 23, 574907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*x**2 + 17*x**3 + 169*x**2 - 13*x**3 + 19*x**3.\nAnswer: 23*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.173983+0.5\nAnswer: 0.673983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1.14, 6, -0.5, 3, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 124818240.\nAnswer: 124818240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2822 + -96690556067.\nAnswer: -96690558889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589247819?\nAnswer: 1709, 344791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20889 + -9189. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12102 (base 3) to base 13\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511796 is divided by 524.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + r)*(-2 - 2*r**2 + 2) + (0*r**2 + 4*r**2 - 5*r**2)*(254 + 28*r - 254).\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 277599.\nAnswer: 2498391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/21, -3, -6?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -194 - 26749?\nAnswer: -26943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -60.4?\nAnswer: -181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(-12)*n*(n**(-17)*n)\/n)\/((n*n**(2\/21)\/n)\/(n**(-18)*n)) assuming n is positive.\nAnswer: n**(-380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64557*37.\nAnswer: -2388609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 144401.1 to the nearest one thousand.\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/10 - (-2773)\/590. Which is the biggest value? (a) 0.2 (b) 2 (c) -0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2802 - 1530. Suppose -57*l + 4*l + c = 0. Is 24 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 + 15 + 0 + (4 - (2 - 1)). What is the greatest common divisor of d and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 4*n + 0*n - 25 + 2*n + 25 + (n + 2*n - 2*n)*(-1 + 4 + 0) to the form f + x*n and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000137 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*-224\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 116*r**2.\nAnswer: r**2*(r + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/11 - (737135\/(-11) - 504\/2772)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17948838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7125 = f + 3*u - 7042, 5*f + 2*u = -77 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*166.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - (5 + 0)) + (-1 - 0). Suppose -3*v = -f*v + 507. Is v > 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*((-112)\/42 + 4)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.1 (b) 21 (c) -4\/5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -12 + 4 - 2*v**2 + 7*v - 3*v + 2*v - 8*v. Determine z(6).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 163?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15\/2 - -43\/6. Let q = 368 - 364. Which is the nearest to -1? (a) -2\/9 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 809038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*w - 561*w + 758*w**2 - 221*w.\nAnswer: 758*w**2 - 688*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by (-13938)\/(-345) - 2\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 636400 or 636399?\nAnswer: 636400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + -3 + -2*sqrt(605) + 3*2*sqrt(605) - (1 + sqrt(605) + 1 + 0)**2.\nAnswer: -612 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0 - -2) + 34 + -30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -47, -2\/9, 3, -4, 12 in decreasing order.\nAnswer: 12, 3, -0.1, -2\/9, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9654*l - 28557 wrt l.\nAnswer: -9654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*c + 336, 0 = 2*c + 2*c. Suppose 6*b = 2*b - a. Let k = -13 - b. Calculate the highest common divisor of 12 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -4. Let j = 6 + n. What is the smallest value in -0.2, 1, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*c - 10*c + 9*c - 4*c - c + 4*c + (3*c - 2*c - 2*c)*(0 - 2 + 3) + 2 - 2 + 2*c + 0 + 0 - 2*c as n*c + g and give n.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 12. Let q = 61 - 71. Let u be w(q). Let i(r) = -13*r**3 + r**2 + 2*r + 3. What is the tens digit of i(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2014 - -2091 - (139 + 2)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -107. Let v be (3 + (-25)\/w)*(-2)\/1. Put v, 1, 0, 4 in decreasing order.\nAnswer: 4, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*g + 1)*(1 - 2 + 3) - g - 2 + 2 + 3*g + 3*g - 5*g - g - 2*g + g + 162*g - 5*g - 694*g - g + g + 2*g.\nAnswer: -533*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3 - 11*f + 25*f - 13*f. Let a be s(-3). Let y(p) = 2*p + 3. Let b(z) = 7*z + 11. Give a*b(v) + 22*y(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**8\/84 - 2*j**7\/105 + 3*j**2\/2 - 14. Let p(f) be the second derivative of k(f). Solve p(i) = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**6\/8 - 3*f**5\/20 + 9*f**4\/16 + f**3\/4 - 3*f**2\/4 + 12. Find u, given that t(u) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/14 + (-18)\/(-42))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2. Let l(q) be the first derivative of 4*q**2 - 3*q**2 + 3 - 4*q**2 + 2*q**2. What is l(u(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 4\/7, 1 in ascending order.\nAnswer: -1\/7, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 840912 and 38681952?\nAnswer: 38681952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 25*j**2 + 772*j - 11. Let p be a(-31). What is the highest common divisor of 1722 and p?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283716 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8277.\nAnswer: 3, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-66)\/(-10) - 15\/25. Let b be (-12)\/18*(k\/5)\/(-2). Let s = -4.873 - -0.873. Sort s, b, 5 in descending order.\nAnswer: 5, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.8978 to the nearest integer.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 64, 0.1, -1\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Let x = 58 + -52. Suppose -151 = x*s - 139. What is the closest to -2\/9 in h, s, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -1738.95182178436?\nAnswer: -1741.95182178436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18759 or 9?\nAnswer: -18759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 14*a = -224. Calculate the greatest common divisor of 52 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 2. Let h be z(-2). Suppose -h*m - 60 = -2*p, -2*m + 129 = p + 4*p. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(4 - 1)\/3. Let h be 2\/3*(2 + t). What is the first derivative of 3*y**h - 4*y**2 + 6 - 3 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -a - 5, 4*l - 2*a + 1 = 15. Sort 9, l, 1.\nAnswer: 1, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 is divided by -3 - (-3 + (-6)\/3 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 77*n - 536. Give c(45).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f**1)**(4\/33)*(f**(2\/25)\/((((f*f\/(f*f\/(f*f*f*f**(-2)*f*f)*f*f)*f)\/f)\/f)\/f))**(-1\/24) assuming f is positive.\nAnswer: f**(1501\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 less than -2948.6?\nAnswer: -2950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzushhouhush. What is prob of sequence hhz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342365247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481, 983, 1503, 2047, 2621?\nAnswer: 3231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47399704836 and 10.45.\nAnswer: 47399704846.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 + 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1 - (2 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 120599901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/2*(2 - 1). Let u be (-6)\/2 + 3 - -7. Let p = u + k. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 17*b**2 - 3. Let z(o) = 30*o**2 - 2*o**2 - 8*o**2 - 12*o**2 - 7*o**2. Calculate z(c(r)).\nAnswer: 289*r**4 - 102*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -322\/3*q**2 - 968\/9*q + 0 + 2\/9*q**3.\nAnswer: 2*q*(q - 484)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g + 2. Let d(q) = 7*q + 4. Let x(i) = 9*a(i) - 4*d(i). Let k be x(-5). Let t(h) = 2*h - 2*h**2 - 10*h + 4*h**2 - 1 + k*h. Give t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - 400 = 70 + 6 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 17*i**3\/6 - 20*i + 23. Let w(c) be the first derivative of q(c). Let g(f) = 4*f**2. Give g(w(o)).\nAnswer: 1156*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*6*4\/(-36).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -17. Let x be (3\/3 + a)*0. Let m = 4 + x. Put m, -2, -3 in descending order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1321685.\nAnswer: 5, 31, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 43*k - 45*k = -862, -15 = -3*k. Suppose -3*l - 351 = -3*f, -348 = 3*l - 4*f - 0*f. Let n = l - y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/23 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 23*b**2 - 8*b + 4. Let x(d) = 6*d**2 - 2*d + 1. Let v(a) = -2*g(a) + 9*x(a). Calculate v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26072 to the nearest one hundred.\nAnswer: -26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 3*h - 6*h. Let k = 20 - h. Suppose 0 = -3*l + 11 - k. Solve 0*r = -l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35399759 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2868*u + 37276. Calculate n(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 704552 divided by 4.\nAnswer: 176138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in 0.0485, 3, -3\/5, 12\/19?\nAnswer: 0.0485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 59\/2*(-2)\/(-1). Let p be 17\/2 - (-3)\/(-2). Suppose 2*l + p - t = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2499311 is divided by 76?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/90 and 49\/4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516910.\nAnswer: 2, 5, 51691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 50 + 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98229 - -145099. What is the ten thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(336\/(-294))\/(2*-4).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*15\/(-100))\/(30\/(-880)*-11). Solve 2\/5*s**3 + 2\/5*s + 0 + w*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*d + 4*r + 12, -5*d = 3*r - 5. Suppose 0 = -d*u + 2*u + 1310. Suppose -149 - u = -4*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24, 7, -4 in ascending order.\nAnswer: -24, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/((-46)\/483) - 3500\/(-385)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 873\/5 (b) 0 (c) 2\/3 (d) -4392\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 6*x - 40. Let q be d(7). Calculate the highest common divisor of q and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 2*h**2 - h**2)*(-h**2 - 2*h**2 + 0*h**2)*(-2 + 3 + 3).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 39*s**2 - 48*s + 84.\nAnswer: 3*(s - 14)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/10 + 72*u**4\/5 - 57*u**3\/2 + 71*u**2\/5 = 0. What is u?\nAnswer: 0, 1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {k: 2, h: 1, o: 4, c: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/60 and 79\/1254?\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -0.02, 2\/25, 14?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - b + 11, -6*k = -k + b - 14. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - -6.97. Let h = 11 - x. What is the second biggest value in 2, h, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4))**(-1\/2)*(b*((b\/(b\/(b**(-3\/8)*b)))\/b)\/b*b)**30 assuming b is positive.\nAnswer: b**(153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {y: 1, u: 11, c: 7}?\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/66 + (-40)\/(-99). What is the nearest to 0.03 in -0.5, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215 + 219.24. Let u = 1.94 - 2. Let v = u - l. What is v rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-60))\/((-2)\/10). Suppose -y = 5*d - 56, -4*y + n*y = 4*d - 46. What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 19*o**2 + 24*o**2.\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.28 * -2.35924.\nAnswer: 26.6122272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-88 - -16)*1\/(-2). Let y = 41 - o. Suppose -2*r - y*x + 105 = 0, 4*r - 184 = 2*x + 62. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7023 - -22800. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2208 and 112?\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 120 = 88, -n = -a + 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13341, 106809, 360503, 854529, 1668993, 2884001, 4579659?\nAnswer: 6836073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1870, 23, -7, 2.\nAnswer: -1870, -7, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**6\/480 - h**5\/60 - h**4\/24 + 5*h**2 + 20. Let u(f) be the second derivative of g(f). Factor u(c).\nAnswer: -c*(c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 16 = 4*a, -5*x + 2279*a - 2276*a + 31 = -26 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 9436542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3357 is divided by 89.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 5*k - 6. Suppose -3*v = -3*f - 33, -2*f + 4*f - 6 = -2*v. Calculate n(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*s**5 + 10*s**5 + 0*s**5 + (-10*s + 13*s + 16*s)*(-2*s + 2*s - 2*s**4).\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**3 - 2*d**3 - 2*d**3)*(1 + 2 - 2) + 7021*d + 4*d**2 + 270*d**3 + 2 - 14044*d + 7022*d to i + t*d**2 + u*d**3 + h*d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 = i, 0 = -0*i - 3*i + 5*l - 17. Let f = -59 + 73. Let k be 885\/35 + i\/f. Solve 0 = 5*u - 0*u - k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146320000 rounded to the nearest one million?\nAnswer: -146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -4. Suppose t*k + 182 = -5*u, 0 = 2*u + 2*k + 82 - 8. Let q be (-2 - u\/20)\/((-24)\/20). Which is the closest to 7? (a) q (b) -3\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = 3*n, -7*n = -2*n - d - 28. Let g(u) be the second derivative of 4*u + 1\/2*u**4 - 1\/20*u**5 + 0 - 5\/6*u**3 + 3*u**2. What is g(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*z - 2073, 1192 + 191 = 2*o + z. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20947*x**5 - 2862*x + 55.\nAnswer: -418940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 4*d**2 - 1. Let f be o(5). Let z = f + -9. Suppose -5*r + 283 = 3*q - 2*q, -7*q - 242 = -4*r. What is the remainder when r is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 108754, 223476, 338198, 452920, 567642?\n\"Answer: 114722*s - 5968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 k when four letters picked without replacement from {j: 2, s: 3, n: 7, h: 4, y: 1, k: 1}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 14 + 18 + 12 - x + 12 - 9.\nAnswer: -x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 718*u**2 + 996*u**2 + 717*u**2 + 718*u**2 - 3148*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475854 a multiple of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002231 (base 4) to base 13.\nAnswer: -3a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 5*q - 6. Let m be k(-6). Suppose -27 = -m*r - 3*r. Let b = r + 16. Solve 0*s + b = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 13) to base 10.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.247 - 0.447. Let f = -1.8 + 2. What is the closest to -1\/2 in f, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c4 - 1f?\nAnswer: -2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/790 and -47\/16827?\nAnswer: 168270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l - 2*l + 5*l + l as p + g*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 3) to base 12\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15662 is divided by 1449?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955785.6 millilitres to litres.\nAnswer: 955.7856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -19*y. Let t(k) be the third derivative of 5*k**4\/8 - 198*k**2. Determine d(t(j)).\nAnswer: -285*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*n**3 + 140*n**2 + 376*n = 0. Calculate n.\nAnswer: -2, 0, 47\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*p + 27. Let r be (p - 34\/5)\/((-8)\/180). Calculate the greatest common factor of r and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-5\/3))\/(x*x\/x**(-2\/11)*x))\/(x**(-1\/3)*(x*x\/x**(2\/7))\/x))\/((x**0)**2\/((x\/x**(2\/17))\/(x**(-4)\/x))) assuming x is positive.\nAnswer: x**(6491\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2632310 and 237876?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 999 = 5913. Suppose h = 48*z - 657. Solve -4*a + z = -g, g - 15 = 4*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9969 is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*f = 16505, 3*f = 2*r - 0*f - 6583. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -15 - (-46 - (68 - 96)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160871, -160733, -160615, -160529, -160487?\nAnswer: -160501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 11*w - 36. What is l(-18)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/((-2)\/1) + -3 + -1. Let a be 1 + n + 2\/(-1). Solve -30 = -2*k + a*v - 0*v, -3*k + 19 = -v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (12 - (8 + 1)) + -15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1957\/115 - 2134\/1035. Let d = 140\/9 - h. Factor -7\/5*b - b**2 - d - 1\/5*b**3.\nAnswer: -(b + 1)**2*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/10)\/(5\/25). Let c(z) = 3*z - 6. Give c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-36)\/8)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 7 + 8. Let u be (22 - 2) + (138 - 157). Solve -d*g = -6*g - u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (14 + -39 - -3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 + 228. What is the smallest common multiple of 5 and q?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 s when four letters picked without replacement from {y: 4, s: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:20 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 878832 and 3590?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from {v: 8, s: 10}?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/4)*q\/q**(-8)*(q\/(q\/(q**1*q)))**26 assuming q is positive.\nAnswer: q**(247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106179950.\nAnswer: 2, 5, 79, 26881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1353*z + 1216*z + 1613*z + 2031*z + z - 2*z + 3*z + (3*z + 3*z - 5*z)*(-2 + 2 + 2) as t + l*z and give l.\nAnswer: 6217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 196 or -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1512? (a) 3 (b) -5 (c) -1\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3134 - -3134. Sort h, -13, -1\/4, 0.3 in decreasing order.\nAnswer: 0.3, h, -1\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 2. What is the remainder when 46 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i**3 - 735*i - 729*i + 13 + 1459*i + 17*i**3 in the form b*i**3 + q*i**2 + p*i + o and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 133 + 11693*i + 79 - 290 + 78 as o + u*i and give u.\nAnswer: 11693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203872 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/((-14)\/(-336)). Put -4, w, -5, 2 in descending order.\nAnswer: 2, -4, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.86 - 0.9. Let v = j - -0.14. Let r be (-1)\/(-1) + (-12)\/6. What is the second biggest value in v, r, 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -6*n**3\/5 + 890*n**2 - 7404*n\/5 + 592 = 0.\nAnswer: 2\/3, 1, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 0*y**4 + 2*y**2 + 0 + 0*y + 0*y**3 - 1\/30*y**5. Let q(p) be the first derivative of -p**3 - 1. Determine q(o(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.05 - -0.05. Let z = -3 + a. Which is smaller: 60 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/2 - 1) + 8. Let d be (2*(-166)\/(-16))\/(1\/f). Suppose i - 839 = -d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 <= 1\/3067256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and -2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*g = -13123, 3*y + 2*g = 4*g + 13135. Suppose y = 4*t + 3*n, -n + 4*n + 3 = 0. Let s = -400 + t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.384955mm to micrometers.\nAnswer: 3384.955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6119, -12161, -18203?\nAnswer: -24245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/80)\/(5\/(-25)). Sort -3, -4\/7, g in ascending order.\nAnswer: -3, -4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 7, 5, 1, -5, -13, -23?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4403 - 5?\nAnswer: 4387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**3\/3 - 2*s + 10. Let b(k) = -k**2 - 2*k**2 + 4*k**2. Determine b(d(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 534768 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, 2\/11, -5, 22740?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/(-320) - 2\/(-16). Let b be 1 + 2*(-38)\/68. Put n, 1, b in descending order.\nAnswer: 1, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 183184?\nAnswer: 1648656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -7911?\nAnswer: -1\/2637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssxp when four letters picked without replacement from pqxalslqpxsq.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*j + 4263840 = -96*j. List the prime factors of j.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 54*d**3 - 23*d**2 - 26*d - 311. Let s(c) = 20*c**3 - 8*c**2 - 9*c - 104. Let m(l) = -6*k(l) + 17*s(l). Find the second derivative of m(z) wrt z.\nAnswer: 96*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 - (-1 + 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 + 2*y. Let k(g) be the third derivative of -g**5\/30 + 6*g**2. Determine k(w(v)).\nAnswer: -50*v**4 + 40*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -12*k + k**2 + 16 + 4*k**2 - 4*k**2. Does 17 divide o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2 = 31*a - 32*a, -3*i + 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3819.\nAnswer: 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/7 - 20*h**4 - 3342*h**3\/7 + 35624*h**2 - 238664*h\/7 - 70176 = 0. What is h?\nAnswer: -42, -1, 2, 43, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*l + 1103*l - 380*l - 2548*l - 2158*l.\nAnswer: -4128*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10242 divided by 1436\nAnswer: 5121\/718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)\/((-9)\/12 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 6, 3\/7, -14, 3\/2, 9 in descending order.\nAnswer: 9, 6, 3\/2, 3\/7, 1\/4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1560\/300 - 2)\/((-1)\/(-1) + (-17)\/15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63642 or 63639?\nAnswer: 63642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97154021 to the power of 1\/2, to the nearest integer?\nAnswer: 9857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101 times -149348\nAnswer: -15084148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 199, 79\/21, 3 in increasing order.\nAnswer: -0.1, 3, 79\/21, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 2168 + 5632. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventy-one fifths of a second?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32820, -65616, -98412, -131208?\n\"Answer: -32796*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 5*t + 6. Let f(z) = 3 - z + 4 - 6. Suppose -3*q + 12 = -0*q - 3*h, 16 = -q - 3*h. Give q*d(y) + 4*f(y).\nAnswer: 2*y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-174)\/(-696) + 146350\/8?\nAnswer: 2, 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -11010?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81.21 - -79.1. Does 2\/15 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5020375*j**3*k**2 + 5*j**3*k + 470728*j**2*k**2 + 3*j**2 + 1 wrt j?\nAnswer: -30122250*k**2 + 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230 is divided by 1181?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 613\nAnswer: -22681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 828 divided by 9.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*27397090\nAnswer: -8219127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.138 - -338.738. Let g = t + -337. Let d = 109 + -61. Sort g, 5, d, 0.2 in descending order.\nAnswer: d, 5, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -17*f + 6. Let v be h(5). Let z = 136 + v. Let t(p) = -7*p - 6. Calculate the remainder when z is divided by t(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 31716261716541 and -0.4.\nAnswer: 31716261716540.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 945 - 951. Let v(a) = -a**2 - 14*a - 44. Determine v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -9)*9\/(-6). Suppose 3*g = 3 + x. Suppose 4*i - 16 = 4*q, -4*i - 2*q - g = -52. What is the greatest common factor of i and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616160 divided by -20.\nAnswer: -30808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1762, -1449, -4660, -7871, -11082, -14293?\n\"Answer: -3211*x + 4973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 191387 (base 10) to base 9\nAnswer: 321472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 99704663, 99704665, 99704667?\n\"Answer: 2*x + 99704661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 3*q + 6. Let v be n(6). Let o = v + -43. Suppose -5*a + o = 7. Solve -a*c + 6*c = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*2*((-1 + sqrt(700) + -5 + -1 + 2 + sqrt(700))*-3 + -3))**2.\nAnswer: -460800*sqrt(7) + 8110080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 - 349404*d + 76301972010.\nAnswer: 2*(d - 436755)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by -53?\nAnswer: -290\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**3 - 110*z**2 + 203*z**2 - 113 - 94*z**2 - 15.\nAnswer: -12*z**3 - z**2 - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 108*z + 100. Let y(x) = 2*x**2. What is q(y(s))?\nAnswer: 216*s**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 285, 286, 287, 288?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -31 + (5 - (-55)\/(-15)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.105 - 41.895. Let w = x + 37.4. Let z = w - -0.6. What is the third biggest value in -3, -1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, -5, -17790?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10080 and 112?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**2 + 25*w**2 + 47*w**2.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 7:21 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15420000 (base 6) to base 9.\nAnswer: -1023200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -29. Let a = 7 + z. Let r = a - -7. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 8. Let x be g(6). Let o be ((-1)\/(-2))\/(x\/48). Let l be o\/42 + 11\/14. Which is smaller: 1\/5 or l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4219*c**2 - 205*c + 1187. Is g(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4875)\/(-8775) + (-4)\/(-9) - -11*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 15633288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32550451*w**3 - 13152*w + 28 wrt w.\nAnswer: 195302706*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -472715 - 2009*n + 472715. Let w(r) = -r. What is b(w(t))?\nAnswer: 2009*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.810778 rounded to 3 dps?\nAnswer: 1.811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-7)*r)\/r*r\/(r*r\/(r*r*r\/(r*r**(1\/3))*r*r*r)*r))**(-12) assuming r is positive.\nAnswer: r**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (106 - 208 + 105 - g)*(2*g - 2*g + 5*g**2) - 3*g**3 - 2*g**2 + 2*g**2 to v*g**2 + p*g + l + r*g**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20 + i**2 - 9*i + 8*i - 4. Let x be s(0). Solve -2*n = 2*n + x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111455000 to the nearest 100000.\nAnswer: -111500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5))**(-50))**(-3\/29)\/(((s*(s\/(s\/((s**3*s)\/s)))\/s*s)\/s**1)\/(s*s**(-6)*s**(-3)\/s)) assuming s is positive.\nAnswer: s**(-288\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(468) - 1*(sqrt(468) + 1)**2) + (3 + sqrt(468) + 1)*1.\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w - 1. What is the remainder when 32 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*10\/(-45) + 38144\/72. Is a bigger than 527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -4)*(0 - -15). Suppose -4*h = 4*q, -h = h - 8. What are the prime factors of (q\/5)\/(6\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9597588 a multiple of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 13356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 5*d**2 - d - 3. Let q be i(-5). Suppose 2*f - f = 3. Let n = q - f. Which is smaller: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 + 8*p**2 - 3*p - 7. Let y(h) = -2*h**3 + 7*h**2 - 4*h - 8. Let k(c) = 3*i(c) - 4*y(c). Let m be k(-5). Sort 4, -3, m.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5840, -5611, -4986, -3767, -1756, 1245, 5434?\n\"Answer: 33*o**3 - 2*o - 5871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865 a factor of 1532074405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*c + j, 19*c - 16*c - 4*j - 27 = 0. What is the remainder when 60 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*b**3 - 26*b**3 + 20*b**3 - 2*b**3.\nAnswer: -113*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29\/2 (b) 0.13 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20*(14 + 3600\/(-256))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1170)\/(-65) + (-3 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 93*h**2 + 43062*h**3 - 92*h**2 - 43033*h**3 + (-h**2 - 4*h**2 - 3*h**2)*(-2 - h + 2) as n*h**2 + o*h + t*h**3 + j and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5379, -10683, -15985, -21285?\n\"Answer: b**2 - 5307*b - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-48)\/(-9)) - (-420)\/96.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m + 3*j - 2*j, 0 = -5*m - j + 15. Find the second derivative of -3*k - 3*k - m*k - k**2 + 4*k wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2 - 3 - h**2 + 0 + 0 + 7*h. Let r be l(7). Let j be (-6)\/(-16) - r\/(-2). Is 0 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78642362 to the power of 1\/2, to the nearest integer?\nAnswer: 8868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbx. Give prob of sequence xxb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117093433?\nAnswer: 3, 7, 13, 43, 180347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16 + (-4700)\/(-276))\/(32\/6) and 47\/96.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymbkhhbx. What is prob of sequence ym?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 - (-8)\/12) + -2)*-3. Suppose -w - l = -12 + 4, 0 = -w + q*l - 17. Solve w*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f = 20. Let k = -162 + 159. Which is the third smallest value? (a) -5 (b) k (c) -0.4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) + (-64)\/(-20). Let s(g) = 682*g - w*g**2 - 682*g + g**2. Let k(j) = 5*j. What is s(k(y))?\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 7:55 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 1:54 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10044, 20100, 30156, 40212, 50268, 60324?\nAnswer: 70380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.4707 + -39.4761. Let p = 32.08 - 0.08. Let w = i + p. Round w to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 391780, -0.07, -3\/8 in descending order.\nAnswer: 391780, -0.07, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**3 + 26*l**3 + 23 - 22 + l - 27 with respect to l.\nAnswer: 66*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001622140445 to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 201125 divided by -40225?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h. Let v(g) = -5*g**2 - 39. Let f(m) = -13. Let i(o) = 15*f(o) - 5*v(o). What is i(d(y))?\nAnswer: 225*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 45835372\/132 + (-4)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/18)*d*d\/d**6)\/(((d*d**(-2\/11))\/d)\/d*d**(-1\/12)) assuming d is positive.\nAnswer: d**(-1105\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*n**3 + 4*n**2 + 675*n wrt n?\nAnswer: 162*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 119, 178, 237, 296, 355?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 0*a**2 + 1875204*a - 1 - 3*a**3 + 5*a**3 - 3*a**2 - 1875191*a. Let i(r) = 2*r**3 - 4*r**2 + 14*r - 1. Give 3*i(p) - 4*l(p).\nAnswer: -2*p**3 - 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4460 and 147070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*h - 31 + 88 - 31 - 30 in the form f + a*h and give a.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 o when four letters picked without replacement from uhookoio.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*h + 22 = h, d = -4*h + 19. What is the highest common factor of d and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/60*4)\/((-1)\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/5 + 24*c + 693\/5.\nAnswer: 3*(c + 7)*(c + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -18*i - 3*c - 35, 4*i - 5*c + 61 = -56 + 104 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x**15 assuming x is positive.\nAnswer: x**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -10. Let h(z) = -2*z**4 + 4*z**3 + 2*z**2 - 4*z. Let a(w) = -2*w**4 + 3*w**3 + 2*w**2 - 3*w. Let n(m) = u*a(m) - 5*h(m). What is q in n(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28756 - -0.2875587157. What is i rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-8) - 318084\/(-208). Suppose 2894 = 33*g - s. Calculate the greatest common factor of 201 and g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306*k - 305*k = -2*x + 7043, -4*k = x - 3511. List the prime factors of x.\nAnswer: 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176657 + 1944559\/11. Let c = -171 - -292. Let y = f - c. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from pepesjpvepepvee.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31905 - 3062945\/96. Find the common denominator of g and -17\/33.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1584))**2 + -4 + sqrt(44)\/sqrt(4).\nAnswer: sqrt(11) + 1580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, f: 6, h: 2, e: 4, b: 1}. What is prob of picking 1 e and 2 t?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -355928725 times -2\nAnswer: 711857450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-6) - (-1647)\/81. Solve -5*w = 7 - p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302739991 to the power of 1\/2, to the nearest integer?\nAnswer: 17399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(6\/(-4) - -1). Let y(a) be the first derivative of -a**2 - 6*a + 4. Give y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z + z)*(3*z**2 + 0*z + 0*z - 1 + 2*z).\nAnswer: 6*z**3 + 4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 3. Let b be i(0). Factor -6*z**2 - 3*z**4 - 29 - 37 + 66 - 9*z**b.\nAnswer: -3*z**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(125) + 2 + sqrt(125))*2 - (-1 + -4 + sqrt(125) + 1 + sqrt(125) + sqrt(125)))**2.\nAnswer: 40*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {k: 3, z: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 10. Let n be (r - 2)*6\/(-15). Suppose 2*p = 2*v - 22, -4*p = -n*p + 2. Solve h = -4*h + v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/4 (b) -777 (c) 49 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 430 and -208630337.342.\nAnswer: -208629907.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*z = -2, q + 3 = 3*z - 7. What is the remainder when 79 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3584858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26706456*u - 64161747 with respect to u.\nAnswer: 26706456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12768, 16870, 23708, 33282, 45592, 60638?\n\"Answer: 1368*b**2 - 2*b + 11402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**7\/420 + c**6\/60 - c**4\/3 - 25*c**3\/6 - 51*c**2. Let j(v) be the first derivative of n(v). Factor j(w).\nAnswer: -2*(w - 2)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-3150)\/(-40))*(-245)\/(-35).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7\/(-3) + (-3825)\/(-270) + -14\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 135. Let f be y(-33). Sort f, -65, 4 in descending order.\nAnswer: 4, f, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 2)*15\/6. Suppose -5*z - 19 = -u - c, 5*z + 6 = -u. Suppose -2*s + 6*p = p - 33, u*s - 2*p = 58. Solve -9 = t - 2*w, -s = 2*t - 2*w - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*w - 39. Solve -w = r - 0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4760 - 4719.97. Let m = s + -40. Let q = -0.57 - -0.17. Which is the smallest value? (a) m (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -117048?\nAnswer: -117051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 28269 = -w + 6147, -k + 4434 = -5*w. Calculate the highest common factor of k and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.055\nAnswer: 0.0275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5 (b) -2\/3 (c) -5 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let u be y(-1). Let f = 8 + u. Calculate the greatest common divisor of 18 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 - 2*n**2 - 7*n - 1. Let o be j(5). Suppose -9*u - o = -847. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*p - 1024 = 0, -4*p + 2*p + 1042 = -4*s. Let o = 275 + s. What is the remainder when 33 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 731.737 kilograms?\nAnswer: 731737000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -789612.18?\nAnswer: -789606.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 637*v - 636*v, 0 = -3*u - 2*u + 5*v - 40 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4385.\nAnswer: 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(165)\/sqrt(3))*5)\/((sqrt(5) + sqrt(80))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a + 9 = -5*v, 3*v + 4 = -2*a. What is the remainder when 7 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 2. Suppose -176*a + 178*a = 0. Suppose 3*j - 6 = -a*j. Let v(t) = 65*t**2 + 45. Determine j*v(s) + 45*f(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Suppose 3*v - 8 - 2 = -5*l, 3*v - 2 = -l. What is the units digit of (g - 1) + l + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42684, 42671, 42646, 42609, 42560?\n\"Answer: -6*r**2 + 5*r + 42685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -1646.079?\nAnswer: 1646.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.04604322 rounded to three dps?\nAnswer: -3.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1 - 522\/(-1). Let c(f) = -3 - i*f + 563*f + 3. Let m(v) = -4*v**2 + 0*v**2 + 3*v**2. What is m(c(n))?\nAnswer: -1521*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:48 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-20) + 2\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 2*j. Suppose 2*u = -u - 2*y + 291, 0 = 5*y - 15. Suppose 28 = 2*f - 4*p, 5*f = f - 5*p + u. Solve -2*t + 6*t - f = j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 48\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 36. Suppose -4*z + g = -0*z. Suppose -13*r - 17*r + 120 = 0. Solve -5*f - 25 = 5*o, 0 = -r*f - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-24)*m*m**(-3\/16) assuming m is positive.\nAnswer: m**(-371\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -2\/107 (c) -65582 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6513 + 3222?\nAnswer: -3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14551?\nAnswer: 14551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248 - 2*m**2 + 176 - 612 + 247 + 2*m**2 + m**2.\nAnswer: m**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 18, -15, 4, 5 in decreasing order.\nAnswer: 18, 5, 4, 1, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 7101?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x - 4*z + 2, 2*z - 2 = 0. Let u = x + 32. Let r be (-22)\/((-220)\/(-50)) + 10. Solve -r*m + 2*i = -u, -5*i = 4*m + 2 + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 23*d - 10. Let y(s) = 6*s**2 - 70*s + 29. Give 19*p(o) + 6*y(o).\nAnswer: -2*o**2 + 17*o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * -669.\nAnswer: 24753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(5364*d**2 - 5365*d**2 - 2*d - 7 + 0*d).\nAnswer: -4*d**2 - 8*d - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 15. Let n = d + 11.99963. Round n to 5 decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*g**2 + 15*g**5 + 33*g**2 + (1 - 1 - 6*g**4)*(3*g + 0*g - 5*g) + 0*g - g**5 + 0*g + (g**5 + 0*g**3 + 0*g**3)*(3 + 0 + 0).\nAnswer: 29*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -19*w - 566. Let k(q) = -28*q - 851. Let u(g) = -8*d(g) + 5*k(g). What is u(-24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22050 and 462000.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**4\/12 + 4*g**2. Let o(k) = 25*k - 6. Let s(m) = -124*m + 33. Let u(t) = -11*o(t) - 2*s(t). Calculate u(c(h)).\nAnswer: -54*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 - 148. Calculate the remainder when a is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7079774, 14159614, 21239454, 28319294, 35399134, 42478974?\nAnswer: 49558814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 divided by 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1520222 (base 6) to base 15\nAnswer: -1b20e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0 = 2*z + 2, 5 = z. Let j(y) = y**2 + 7*y - 14. Let x = 24 + -33. Let a be j(x). Solve -6 = -a*g + b, 0 = -t*g - g + b + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 0.45155, 0.22, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/1928935?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 526, -1, -22973, 5 in descending order.\nAnswer: 526, 5, -1, -22973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (649 + 2\/(-1))\/1.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4 + (-3 - -5 - 20) - (-7 + 41)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4045 + 5198. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4121763 or -4121762?\nAnswer: -4121763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7. Does 2 divide (-5)\/g*98\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -880 divided by 10773\nAnswer: -880\/10773","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let z(s) = s**3 + 6*s**2 + s + 1. Let t be z(-5). Let a be (3\/(-6))\/((-2)\/(2*8)). Suppose -5*i + 102 = -a*p, -3*i + 41 = -2*p - t. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15950 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 786933, -5, 2, 4 in increasing order.\nAnswer: -5, 2, 3, 4, 786933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 21*k**2 - k + 26. Let h be d(21). Solve 0 = -3*a + 2*s - 4 + 14, 0 = h*s - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by -1.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**3 + 3*j**2 - 7*j + 1. Let g(x) = -5*x**3 + 5*x**2 - 11*x + 2. Let q(o) = 8*b(o) - 5*g(o). Give q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546.9353 nanometers to meters.\nAnswer: 0.0000005469353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*l + 6734 = 0, 5*l - 6082 = -5*y + 10718. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 11*i + 2590. Suppose 4*s + 266 - i = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, 2, -57\/5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - p)*(0 + 8 + 1) to j*p + q and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65290*-1.4.\nAnswer: 91406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from nxzzo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26293, -52574, -78829, -105058, -131261?\n\"Answer: 13*y**2 - 26320*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/21 + 35\/49. Let r be p\/1 + (3 - (-4 + 3)). Suppose 0*i + 116 = t + 5*i, 3*t - r*i = 408. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5212396*h**2*m**5 + 6*h**2*m**2 + 4*h**2 - 11734*h*m wrt m.\nAnswer: 312743760*h**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30066 + -18951. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 3. Let w = k + 8. Which is the nearest to -0.2? (a) w (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 8, v: 4, o: 2}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:18 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13236 - 4009. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 25 = 10. Is 0 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, -1\/5, -778, 244.\nAnswer: -778, -3, -1\/5, -0.1, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(30))\/sqrt(6).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/522 and (-20)\/55 + (-859)\/1782.\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -5*o**4\/24 + 1445*o**3\/6 + 2895*o**2\/4 + o + 1584. Factor t(x).\nAnswer: -5*(x - 579)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z + 2. Let u(w) = -w**2 + 3*w + 1. Let t(c) = 6*c**2 - 8*c + 22. Let r(f) = t(f) - 4*u(f). Let q(n) = 12*l(n) - r(n). Factor q(j).\nAnswer: 2*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + k + k + 324, 0 = 5*o + 3*k - 394. Let c be 7 + 388\/(2\/1). Let z = c - o. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*u = -8*m + 5, -5 = m - 2*u. Solve 2*g + 5*n + 7 = -0, 1 = 4*g + m*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11*c**2 - 4*c**2 - 3*c - 5*c**2 + 28*c**2 - 6*c**4 - 9*c**2 - 3*c**3 to the form i + q*c**2 + v*c + n*c**4 + u*c**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -13*a**2 - 9*a + 5. Let j(r) = 10*r**2 + 9*r - 5. Calculate 4*j(k) + 3*n(k).\nAnswer: k**2 + 9*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*u + 28, -87 = -2*d + 4*u - 23. Does 7 divide d + ((0 - -1) + 1 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 784, 1751, 3098, 4825, 6932?\nAnswer: 9419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 393, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 258179 - 501899881\/1944. What is the common denominator of f and -113\/108?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.1 (b) -5\/4 (c) -1\/2 (d) 0.15 (e) 2730\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - c = -2*l - 10, -4*c = 8. Calculate the highest common factor of l and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2\/5, -8\/11, 1\/10 in descending order.\nAnswer: 23, 1\/10, -2\/5, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -5, 63, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 1:00 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -16)*1\/2. Let p = -3 + 6. Let b(z) = 6*z**3 + 8*z**2 - 8*z. Let l(w) = 3*w**2 - 2*w**2 + 2*w**2 - 3*w + 2*w**3. What is p*b(y) + u*l(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2623, 5563, 8503, 11443?\nAnswer: 14383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09 (b) 1.4 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 + 80. Suppose l = 4*s - 5*h + 1248, -430 = 5*s + 5*h + 1130. Round s to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from ojewjujjjujwqjjw?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w**3 - 18*w**2 - 104*w - 52. Give h(5).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Suppose 0 = -m*o - 5*o - 35. Let j = 23 + o. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 11:35 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i + 2*i - 70. Solve -11*z - 12 = -i*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0395084 rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/177721 and -99\/61816?\nAnswer: 1421768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514 minus 1434390?\nAnswer: -1435904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 19*j**5\/10 - j**4\/6 - j**3\/3 - j**2\/2 + 88*j - 1. Determine g(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -596\/59 (c) -4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9466652573\/261 - 36270750. Let k = -473\/9 - f. Let x = k + 834\/319. Which is smaller: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102020210 + 11?\nAnswer: -102020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2171 is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 464 = -5*x. Suppose -x = -u + 5*p, 4*p = u - 4*u + 386. What is the greatest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20534 + 33534. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 2. Let l be a(1). Let j be -4 + (2 - 24) - l. Let p = -24 - j. Solve 0 = h - p + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 247\/270 + 1\/54. Let n = -169\/165 + k. What is the second smallest value in n, -2\/11, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -84*b + 186, 158 = -3535*u + 3537*u + 2*b for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6248978 + 374987971\/60. Let i = -2464\/3 + j. Let x = i - 27\/20. Find the common denominator of x and -29\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -30537.074 plus -0.05?\nAnswer: -30537.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 876304441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-36)\/14)*(-32)\/(-112).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29243 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: -0.76*-0.08\nAnswer: 0.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*d**2*o**3 + 6*d**2*o**2 - 387*d**2 - 2*d*o**2 + 144*d + 770033*o**3 + 5*o**2 + o wrt o.\nAnswer: 540*d**2 + 4620198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 431*q**3*s + 8590*q**3*v + 4*q**2*s**3 + 216*q**2*s**2 + 39*s**3*v wrt v.\nAnswer: 8590*q**3 + 39*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -966, 3, -5 in ascending order.\nAnswer: -966, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:07 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -61. Suppose -4*i + a + 67 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -254964729*l**4 - 5*l**2 + l + 6503247?\nAnswer: -6119153496*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 3*b**2 + 4*b - 10. Determine k(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6881 + 4?\nAnswer: 6885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108893527 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 35957\nAnswer: 54\/35957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**4\/7 - 1601164*i**3\/7 + 8005908*i**2\/7 - 4803588*i\/7 - 14410656\/7 = 0?\nAnswer: -400296, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -4, 0.0366 in ascending order.\nAnswer: -4, 0.0366, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r - 21 = -f, f - 1 = 0. Suppose -r*j = -h - 118, -6*h - 61 = -2*j - h. Let a = 7 + j. Calculate the remainder when a is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134983 and 1491.\nAnswer: 201259653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14975208 by 7487604.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, -250\/9 in decreasing order.\nAnswer: 2, -2, -3, -250\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -29837276.38 to the nearest ten thousand.\nAnswer: -29840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 + 30807*f**3 - 2884950*f**2 + 62690112*f + 214866432 = 0. Calculate f.\nAnswer: -10362, -3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1\/4 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.03, -1, 0.4, 2\/23, -28, 0.02, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o = m - 11, 3*o - 3 = 0. Let j = 0 - m. Let q = -5 - j. Let g(d) = -d + 2. Calculate g(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165875 divided by 3?\nAnswer: -388625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 0.1, -0.024, -5\/6, 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-1)\/2*-2 - -6. Solve -2 = -d*u - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -162 - -165. What is v in 15\/2*v**2 - 2 - 2*v**p - 6*v = 0?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -1, 0, -20 in decreasing order.\nAnswer: 0, -1, -4, -16, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2306 + 4*v + 2305 - 4*v + 3*v**2 to the form p*v + g*v**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11.4. What is the second smallest value in -4, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.4, 0.03, 6, 3, 2.9, -19 in increasing order.\nAnswer: -19, -9.4, 0.03, 2.9, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + 50 - 40 - 62?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*v + 16, -4*n - v - 8 - 7 = 0. Let r be (-2)\/2*5\/(-10). Which is the third smallest value? (a) r (b) n (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10916145.\nAnswer: 3, 5, 23, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28205 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19570, -19617, -19664, -19711?\nAnswer: -19758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, d: 1, i: 2, s: 1, m: 1}. What is prob of picking 1 v and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 2*q - 28, 4*y + 2*q - 3*q = 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**3 - 1800*y**2 + 18*y. Let z(f) = -f**3 + f**2 - 3*f. What is -d(c) - 6*z(c)?\nAnswer: 2*c**3 + 1794*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 13*x**2 - 6*x - 70. Determine l(14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 - 13*r - 12. Let j(g) = g**3 + 4*g**2 - 6*g - 4. Let h be j(-5). Let c(l) = -l. Let b(s) = h*c(s) - p(s). Suppose b(t) = 0. Calculate t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x + 50 = 0. Let o = x - -15. Suppose o*p - p = -y + 79, 5*p = -5*y + 110. What is the greatest common divisor of 152 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -5\/8 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 560 and 0.4.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369963983.\nAnswer: 369963983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 5) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57566881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2044 - -4596. Suppose 2*x - q = -2*x. Let f = x + -259. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356877281 to the nearest integer?\nAnswer: 36836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24943618.\nAnswer: 2, 7, 19, 79, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14ca9a8 (base 13) to base 6.\nAnswer: -355050130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 133 - 15 = 5*m, -2*m = -3*w - 64. Solve -10*g - 24 = m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {s: 1, h: 1, i: 7}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0.04, -24, -5, 4 in descending order.\nAnswer: 4, 0.6, 0.04, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135610949 is divided by 45203646?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773 a factor of 21648330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/((-5)\/4))\/(2\/30). Let t(b) = -b + 17. Calculate t(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p - 149. Let x be k(17). Let o = -15.1 - 0.9. Which is the nearest to 0.2? (a) o (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91.15 + -84. Let n = 7.0479 - d. What is n rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 6*i - 8. Let v be z(-6). Let l = 11 + v. Suppose -f = -2*f + l. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616) + 5*-1*sqrt(616) + sqrt(616))\/sqrt(11)*-2)\/((sqrt(800)*1*-2 + sqrt(800))*-5).\nAnswer: 3*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5 - 24*s**4 - 112*s**3 - 256*s**2 - 288*s - 128.\nAnswer: -2*(s + 2)**4*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.98884582 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.008326um?\nAnswer: 0.002008326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -122031 (base 4) in base 13?\nAnswer: -9c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 4*o**2 + 2*o**2)*(41*o**2 + 78*o**2 - 18*o**2) + 0*o**2 + 4*o**2 - 5*o**2 + 2*o + o**4.\nAnswer: 405*o**4 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:12 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 2*y**2 + 2. Suppose 6 = 5*b - 3*b. Suppose 0 = -b*m - 12, 4*v - 4*m + 16 = -5*m. Let i(d) = -d**3 - 2*d**2 + 2. What is v*s(q) + 4*i(q)?\nAnswer: -q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 6*k**2 - k + 2. Let g be r(6). Let s(t) = 6*t**2 + 9*t + 3. Is s(g) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3621 = -79*h + 5122 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*q - 17831 = -r, -5*q = 0. Let v = 356699\/20 + r. What is the common denominator of v and 15\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 + 6 = 4*r. Let s = -21 + r. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -451.4846 - -459.12. Round x to one decimal place.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:40 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438592 is divided by 719292?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5 + 5*c**2 + c - 8 + 3. Let i be s(-1). Solve 5*y - i = p, -3*p = -2*y + p - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48036623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfe. What is prob of sequence ne?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -3.2?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3244 - 3206. Suppose -4*w = -6*f + 3*f + 387, 0 = -2*f + 5*w + 251. What is the greatest common divisor of f and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205687, -205686, -205685, -205684, -205683?\nAnswer: -205682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**4*q**3 - 737*d**3*q**3 + 8*q**3 - 8*q + 16 wrt d.\nAnswer: 12*d**3*q**3 - 2211*d**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(-2 + sqrt(3))*1)**2 + 4*(sqrt(48) + -3 + sqrt(48) + sqrt(48) - sqrt(48))*3.\nAnswer: -4*sqrt(3) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 7. Suppose 3*c = 5*h - 31, -c - 107 = 4*h - 125. Calculate j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/16)\/((-275)\/(-40) - 7). Solve 2*m = 5*b - 1, -3*m = -2*b + z*b - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = p + 29, -3*r = -4*p - 16. Calculate the greatest common factor of r and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.139287\nAnswer: 0.0139287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 787428.999us?\nAnswer: 0.0000013019659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2. Let x(l) = 8*l + 6. Let k(b) = -23*b - 17. Let m(q) = -6*k(q) - 17*x(q). What is m(i(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5324)*-1)**2 + -3 - (5*-5*-2*sqrt(704))**2.\nAnswer: -1754675 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 272 - 273 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*q - 0. Let f(o) = o + 4*o**2 + q + 1 - 1. Let r(l) = 9*l**2 + 2*l + 3. Calculate -5*f(v) + 2*r(v).\nAnswer: -2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 8*c - 3. Calculate k(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86623151137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 1, p: 1, n: 11, x: 1}. Give prob of sequence ptn.\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -40*w**2 - 16*w + 16. Let k(g) = -8*g**2 - 3*g + 3. Give 16*k(n) - 3*l(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (-5 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 14 = 3*g. Let a = g + -6. Let n(f) = 15*f**2 - 3*f - 1. Is n(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402\/67*(-2)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = 3*l + 224, 78*m - 82*m + 3*l = -71 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003893048303 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 22558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1726281384 and 12751.\nAnswer: 12751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 9*j**7\/14 + 7*j**3\/3 - 4*j. What is the second derivative of b(d) wrt d?\nAnswer: 540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 36 = 12*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 4*k**2 - 3*k + 3. Let t be (10\/(-40))\/((-5)\/(-60)). Give i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -135\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, 137, 290, 493, 740?\n\"Answer: -r**3 + 34*r**2 + 2*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*(sqrt(75) + 0) - (-4 + 1 + sqrt(75)) - (4 + sqrt(75) + sqrt(75) + -4*(sqrt(75) + 1)))**2)*2.\nAnswer: 420*sqrt(3) + 7358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 122, -6, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + 44. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161779, -161778, -161777, -161776?\nAnswer: -161775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 7*q**2 + 10*q - 12. Let v be h(8). Let m be v + (0\/1 - 1). Suppose -a + 18 = -3*z - 14, -3*a + 66 = -m*z. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -23, 5 in decreasing order.\nAnswer: 5, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7865bb (base 16) in base 15?\nAnswer: -a5cd43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-41)\/7 - -5)*(-21)\/(-1). Let o = 4.839 - 1.839. Sort 0, q, o in decreasing order.\nAnswer: o, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 8*v - 9. Let s be h(6). Suppose s*k - d - 1 + 0 = 0, 4*k - d - 2 = 0. Suppose -j - k = -6. Solve -j*n + 8 = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -381 divided by 259\nAnswer: -381\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.17 + 19. Let y = h + 5.32. Let s = 0.65 + y. What is s rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8050035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.02498l in millilitres?\nAnswer: 85024.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.97 (b) -2 (c) 1 (d) 4 (e) 308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 16235137*y. Let m(r) = -r. Determine j(m(x)).\nAnswer: -16235137*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 10 = -5*m, 8*z - 2*m - 1 = 7*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -16, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -139, -208, -277, -346?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1308*h = 1272*h - 360 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 4*z**2 + 3*z - 6. Let n(q) be the third derivative of 1\/2*q**3 + 0*q + 2*q**2 - 1\/12*q**4 + 0. Let v be n(4). Calculate f(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905*k - 827*k - 6*k**2 + 1732*k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -14*h - 282. Let x be q(-20). Let v(w) = 711*w + 853*w + 386*w. Let k be v(x). What is k rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4481, 8957, 13421, 17867, 22289, 26681?\nAnswer: 31037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 11*j**2 + 11*j + 36. Let w be a(-9). Find the first derivative of -3810*z + 3810*z + 156*z**3 + w wrt z.\nAnswer: 468*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277432334?\nAnswer: 2, 397, 349411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3158, -6327, -9478, -12605, -15702, -18763, -21782, -24753?\nAnswer: -27670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v**3 - 2 - 100*v**2 + 201*v**2 - 100*v**2 in the form n*v + m*v**3 + b + j*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k - 50 = 0. Let s = 30 - k. What is the highest common divisor of 16 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = -2*v, -t + 4*v = 5*v - 16. Let y = 12 + t. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 26872*u.\nAnswer: 4*u*(u - 6718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(13\/6 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56528 > -56527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000788379 rounded to six decimal places?\nAnswer: -0.000788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weejejt. Give prob of picking 2 e and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/27 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {b: 1, z: 1, m: 2, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a = 7 - 5 - 2. Solve 2*k - 5 + 15 = a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 10, 0.5, -241, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4403 greater than -30812\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtl. Give prob of sequence tdl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 10:40 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 139954.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) 2\/3359 (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.8 or 0.05?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + q + 4. Let s be l(0). Suppose j - 4*h + 8 = -4, 5*j = s*h - 12. Suppose k - 3*b - 22 - 1 = j, -4 = 2*b. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 115, 287, 539, 877?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(4) + -4*sqrt(4)))\/sqrt(2).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 + 303*g**2 + 8310*g + 39600 = 0. Calculate g.\nAnswer: -55, -40, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, -0.057, -37867.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4324148ml in litres?\nAnswer: 0.0004324148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/15)\/((-24)\/54)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 626*o**5\/5 + 130*o**3\/3 + 2*o + 220. Find the third derivative of r(c) wrt c.\nAnswer: 15024*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7414 a factor of 1489828472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, n: 5, k: 5, s: 2, o: 6}. Give prob of picking 1 n and 1 j.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7*q + 3*q**3 + 2*q - 2*q**4 - q**3 + 2*q**2 + 4*q to f + g*q**3 + b*q**4 + j*q + k*q**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + a**4 + 36 - a + a**2 - 77 to the form v*a**3 + x*a**2 + j*a + r*a**4 + l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - m = 10, 2*m - 7 = -3*s - 0*m. What is the common denominator of 745\/(-80) + (8 - s) and 41\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -15, 0 = -2886*g + 2891*g - 10*f + 150 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9652615, -9652612, -9652609, -9652606, -9652603, -9652600?\n\"Answer: 3*o - 9652618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 9 + -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 - 48 = 0. Suppose 3*c - 2*c = d. Let j be 2\/c + 395\/20. Solve 6*l - j = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(931) + 1)*-3.\nAnswer: -21*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0473? (a) 2\/13 (b) 4 (c) 2\/5 (d) -468\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 73*n + 4. Let m = 4 + -8. Let c be s(m). What is the tens digit of (-4)\/10 - c\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, k: 1, t: 6, r: 1}. Give prob of picking 1 r, 1 g, and 1 t.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*r - 5*m, -4*r + 2*r = -2*m - 8. Which is smaller: -2\/331 or r?\nAnswer: -2\/331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18243.62nm in millimeters?\nAnswer: 0.01824362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 5 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1295\/222*((-68)\/(-15))\/2. Which is greater: 14 or p?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*w**3 + 42\/11*w**2 - 294\/11*w + 686\/11.\nAnswer: -2*(w - 7)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(68\/(-765))\/1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54048913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 190\/3. Is v at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeeqcoeqqo. What is prob of sequence ecqo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14567052.\nAnswer: 2, 3, 1213921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 5. Let g be s(5). Let z = 0.05004 + 2.94996. Which is the fourth biggest value? (a) -1\/2 (b) g (c) -12 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 82, 3 in descending order.\nAnswer: 82, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 15) to base 9.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:12 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, m: 3, a: 4}. Give prob of picking 3 t.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9377 is divided by 505.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33746790 to the power of 1\/2, to the nearest integer?\nAnswer: 5809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 505513.2 millennia?\nAnswer: 505513200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**4\/6 + 34*b**3\/3 - 23*b**2. List the prime factors of x(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(15)\/sqrt(3)*-2).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by -8.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 27 = 3*l. What is the units digit of 6\/l*(-27)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1750 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12818 divided by -754.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7 + x**3 - 3 + 2 - 7*x**2 - 8*x. Suppose 3*c + 10 + 1 = 5*d, 4*d - 19 = -c. Calculate the least common multiple of d and r(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7598, 15193, 22788?\n\"Answer: 7595*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9569751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 102 = 13*k - 7*k for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11114401 (base 5) to base 16\nAnswer: -17f35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 486*h = 488*h - 46, -3*s - 188 = -34*h for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -373 divided by 4?\nAnswer: -373\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*t - 502*t + 259*t - 14696 = 0 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 10:29 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 4*y. Let l be g(-2). Solve -l*j = -4*u - 36, 0 = 3*j - 0*u + 4*u + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 + n**2 - 3*n - 20. Let r(v) = -4*v**3 + v**2 - 4*v - 30. Calculate 7*m(s) - 5*r(s).\nAnswer: -s**3 + 2*s**2 - s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3528 + 2*z + 3528. Let y(m) = 26*m**2 - 44*m**2 - 29*m**2. Calculate y(n(s)).\nAnswer: -188*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*q - 11 = -4*q, -22 = -4*s + 5*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792*a - 11*a**3 - 792*a.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -1619*v**4\/12 + 41*v**3\/2 + 1329*v - 1. Find the second derivative of z(i) wrt i.\nAnswer: -3238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:46 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c*o**2*q**2*x + 2*c*o*q*x + 10*c*q**2*x + 7*c - 3*o**2*q - 13*o*x + 6*q**2*x wrt q?\nAnswer: -10*c*o**2*x + 20*c*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292642.\nAnswer: 2, 7, 20903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 45. Let x = -8 + 3. Let a(i) = i + 28. What is the remainder when l is divided by a(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 8, 1, 0.245?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfffkff. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/9*(20\/14 - 1). Suppose -4*t - 401 = -822 + 409. Solve 6*l - t*l + 1 = d, 2*l = -u*d - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -54 (b) -349 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 6*r + 5. Let k be o(-5). Let h(t) = -t**2 + t - 10. Let i be h(k). Let s = 9 - 8. Is s <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97017 divided by 32339\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o + 3. Calculate z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(3 + -5 + (-24)\/(-9)). Suppose -j*m = -2 - 7. Find a such that -4\/7 - 4\/21*a**2 + 2\/7*a**m - 38\/21*a = 0.\nAnswer: -2, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12876)\/72964*(-34)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010 - 101101000000100000?\nAnswer: -101100111101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -29. Let o = -0.771 - -0.971. Let q = -41\/21 - -9\/7. What is the third biggest value in o, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4714, -3150, -1572, 26, 1650, 3306?\nAnswer: 5000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 12. Suppose 3 - m = -4*v - 2*y, 3*v - 10 = 4*y. Is 25 a factor of ((-1)\/v)\/((35\/(-500))\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420\/17 - 3671\/119. Calculate the common denominator of t and 29\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11578882 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*o - 24659 = 1315 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74 or -91?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + y + y**3 + 6 - 10*y - 10*y**2. Let j = 3 - 12. Let t be z(j). Is 5 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3247448.4 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - 0 - (25 + (3 - (46 - 22))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Let g be (378\/45 + -8)*5 + -2. Suppose 8*q - 5 - p = g. Solve -q - 3 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100, 239, 378, 517, 656?\n\"Answer: 139*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.85477594 to 2 decimal places.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*j - 42*j - 3 + 3.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45864 divided by -252.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 744505603 to the power of 1\/2, to the nearest integer?\nAnswer: 27286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djj when three letters picked without replacement from sdjdssssdf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y - 291. Let i(c) = 370*c + 3. What is k(i(f))?\nAnswer: -4440*f - 327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 21 = 111. Let q be (0 - (-1 + 3))*-2. Let t be 14 + (-1 - q\/2). Is t equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25 (b) -1 (c) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(2) + 5 + 1 - (-4*(-3 + sqrt(288))*4)**2.\nAnswer: -76030 + 18430*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -225032 (base 6) to base 7\nAnswer: -110051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -8*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Let u(m) = m**3 - 6*m + 10. Let k(a) = 6*o(a) + u(a). Let s(y) be the first derivative of k(y). Let c(p) = p. Give c(s(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 0. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17471 and -0.03?\nAnswer: 524.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/17)*z)**(-17\/2) assuming z is positive.\nAnswer: z**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-18) + 8\/1008 + (-25)\/(3850\/(-61)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 4*v + 2. Calculate d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**3 + 6916700*v**2 - 27666740*v + 27666720 = 0. What is v?\nAnswer: 2, 1383336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240*n - 1160 + 356*n + 1163)*(1 - 1 + 1).\nAnswer: 116*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or -0.12178?\nAnswer: -0.12178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -6493, -3\/8, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 1802 = -1938 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from vvhvlhvhvvhvffv?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 8 - 3 + 0)*(27 + 55*t**2 - 27).\nAnswer: 715*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(11) + -1 + sqrt(11))*-2 - (5 + sqrt(44)\/sqrt(4) + 1)) + 0.\nAnswer: -5*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4 - 19. Let x be f\/5 + 91\/35. Factor -1\/4*j**3 + 0*j + 0 + 1\/4*j**x.\nAnswer: -j**2*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1237*x + 68 - 37 + 28 + 75.\nAnswer: 1237*x + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93289, -93290, -93291, -93292, -93293, -93294?\n\"Answer: -q - 93288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + h**3 + 2*h**2 - 5657 + 3*h + 5720 to m*h**2 + y + n*h + k*h**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22901499 - -0.2?\nAnswer: -22901498.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/((-110770)\/424)*22\/10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 64951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 185438044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 3. Let z = m - -6. Suppose 61 = 3*w + 2*f + 5, 69 = 4*w - 3*f. What is the least common multiple of w and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4) + 54 + (-2373 - -2388).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1785, -3568, -5337, -7086, -8809, -10500, -12153?\n\"Answer: k**3 + k**2 - 1793*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 + -179. Suppose 0*b + 5*b - 503 = -4*t, t = -2*b + z. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97959 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 15 = -g - 3*q, 3*g + 5*q = -1. Suppose 4*o - 17 = -3*b, 4*b = 3*b + g. Solve x - o - 3 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -329*l - 75*l**4 - 156*l**4 - 175*l**4 - 19*l**4 wrt l.\nAnswer: -5100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 591 + -595. What is the second biggest value in l, 0.1, 3, -0.04?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1829503*f*s**2 + 961427717*f + 263*s**2 wrt s.\nAnswer: 3659006*f*s + 526*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14569*q + 2*h = 14571*q + 9 + 1, -32*q - 10 = -2*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.342 - 2.942. Sort 2\/9, -0.2, -3, 0.08, w.\nAnswer: -3, -0.2, 0.08, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.32 times -0.3?\nAnswer: 1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29112684 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1910832 + -0.1?\nAnswer: 1910831.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 58\/(-87) - 5\/(-3). Sort -1\/3, l, 4, 4\/7, -4.\nAnswer: -4, -1\/3, 4\/7, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 1. Let n = q - -1.2. Let y = -0.1 + 0.2. Sort 0, n, y in descending order.\nAnswer: n, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**4 + 30*u**3 - 61*u**2 + 18*u + 6. Let r(t) = -t**2 - 2*t + 1. Let j(w) = -6*r(w) + s(w). Factor j(x).\nAnswer: -5*x*(x - 3)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -232 + -33601?\nAnswer: -33833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3085 is divided by 1024.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 2, u: 8, r: 2}. What is prob of picking 1 a and 2 r?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.27 + -123.73. Let t = o + 124.4. Which is the nearest to -2\/5? (a) 7\/4 (b) -3\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757, -1497, -2181, -2779, -3261, -3597, -3757?\nAnswer: -3711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 9.55, 0.1, -1\/19 in descending order.\nAnswer: 9.55, 0.1, -1\/19, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 32 - 48)*(-2*d - d + 4*d).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*n**3\/5 + 96270916*n**2 + 275059784*n\/5 + 39294256\/5 = 0.\nAnswer: -2\/7, 4911782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4 + 0*n**2 + 2*n - 3 - 2*n**2. Let o be 125\/25 - (8 + -1) - 5. Let w(c) = -2*c**2 + 2*c - 6. Determine o*w(j) + 6*i(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 66, -8, 3\/8, -1\/2 in increasing order.\nAnswer: -8, -1\/2, 3\/8, 1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkktttttktk. Give prob of sequence tkk.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and (43\/(-2))\/(0 + 7\/(-14)).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 276 - 277. Let f = 27354\/19 + -1440. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**2 + 22*z + 69. What is v(-3)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113 or -114?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/624, -29, 2\/11, 2, -0.2 in ascending order.\nAnswer: -29, -0.2, 1\/624, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*s**2 + 31*s**2 - 14*s**2)*(0*s - s + 0*s + (0 + 0 - 1)*(2 - 2 - 2*s) + 17 - 3*s - 17) as w + u*s**2 + g*s**3 + p*s and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**3 - 47*r**3 - 3*r**3 - 36*r**3.\nAnswer: -68*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1097*o**3 - 16567*o**2 + 9257157*o - 1.\nAnswer: 6582*o - 33134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-6 - -2 - -2). Suppose -8*y - m = -32. Let t be 16\/56 - (-61)\/7. Solve 6*u - y*u + t = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2358 = 2*j + 3*j, -5*g + 3*j = -2929. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - o + 8 = -0, 5*z + 2*o - 52 = 0. Let x be (-3)\/(3 - 0\/(-1)). Put z, 3, -3, x in descending order.\nAnswer: z, 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5500 divided by 2\nAnswer: -2750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*y - 362, 835 = y + 4*y + 5*v. What is the remainder when 351 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 108 = -0*s. Let q = -18 + 37. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6466 + 21242. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4867*b + 56077 + 41263 = 0 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19) + 1 + sqrt(19))*-6)**2 - (6*(sqrt(19) + -1 - sqrt(19)) - sqrt(133)\/sqrt(112)).\nAnswer: 14401*sqrt(19)\/4 + 69306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2. Let h = 1 - 6. Let z = h + 7. Let q(x) = 2 - z - 2*x**2. What is c(q(l))?\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 65 - 63. Let z(f) = 2*f**2 + 6*f + 1. Let d be z(-5). What is the second derivative of w**2 + d*w**5 + 12*w**5 - w**c - 4*w wrt w?\nAnswer: 660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45479 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65 + 2?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 111376, 222756, 334136, 445516, 556896?\n\"Answer: 111380*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 - 464*q - 164. What is h(-66)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 0 - (-69 + 95 + -33).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-147)*(65 + -51).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2 and 69\/1024?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 5*k = -33*k + 308. Let b(r) = -10*r + 75. Give b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1065, -4269, -9623, -17139, -26829, -38705?\nAnswer: -52779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3070*c**2 + 4104*c**2 + 56 - 56 + 9136*c**2 as p + z*c + t*c**2 and give t.\nAnswer: 16310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/6*p**2 - 1\/6*p**3 + 10\/3*p + 6.\nAnswer: -(p - 2)*(p + 1)*(p + 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:17 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 18*w + 10. Suppose -12*c - 518 = 25*c. What is the remainder when 392 is divided by q(c)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -1 - 1 - -43. Let p = s - 28. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 6. Let b be x(6). Let h be -1 - 44\/(-28) - b. Let l be ((-1)\/(-2))\/((-6)\/(-12)). Which is smaller: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-3084)\/140 + (-9)\/(-21). Let n be ((-1448)\/(-55) - 1) + -2. Let s = x + n. Find the common denominator of -17\/8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 + 62*s + 9 + 26*s**3 - 1 + 36 - 100*s**2.\nAnswer: 2*(s - 3)*(s - 1)*(13*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 79.28277 hours?\nAnswer: 285417972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1345? (a) -1 (b) -1\/8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-66 + 0)\/((-3878)\/(-5817))\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 246527*w**3 - 13*w**2 + 6439166?\nAnswer: 739581*w**2 - 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**5 + 2*u**4 - 48210*u**3 - 10*u - 11534.\nAnswer: 100*u**3 + 24*u**2 - 289260*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.46 + 0.06. Let t = p + 0.41. Let k = t - -2.99. What is the closest to 1 in 2\/19, k, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -522432, -1044900, -1567370, -2089842, -2612316?\n\"Answer: -g**2 - 522465*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.256766 days?\nAnswer: 194984582400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*b - 105*b + 16 = -4*l, -3*b = 2*l + 14 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*i - 27, 3*q + 0*i - 2*i = 15. Suppose 4*u + 2 = -2, u - 701 = -q*g. Let w be (-2)\/((-4)\/g*-3). What is w rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 832751, 832764, 832787, 832820, 832863, 832916?\nAnswer: 832979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*y - 17*y - 28. Let t = 3896101 + -1216101. Suppose 10*g + t = y*g. What is g rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) -5 (b) 1 (c) -1\/693 (d) 1\/9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8d (base 15) to base 8\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3\/3 + 335*q**2\/6 - 175*q\/6 - 85\/3 = 0. What is q?\nAnswer: -34, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55588997 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.555 - 2.375. Let r = t - 0.07. Let f = 2 + r. What is the third smallest value in 0.3, f, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/2439013 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-34)\/(-15))\/(344\/66). Let v = t + -3\/86. Which is the second smallest value? (a) 123 (b) -1\/2 (c) v (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6505.377mg to grams.\nAnswer: 6.505377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 2*a + 7. Suppose -8*u - 15*u = -92. What is z(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2663 (base 8) in base 10?\nAnswer: -1459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/83892 greater than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 4) to base 3\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 7. Let n be a(5). Let c be 2*(-3 + 1)*n. What is the units digit of (58\/(-8))\/((-3)\/c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65 - 49) + (7 + -7 - 32) - (3 - 6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -88.77. Let o = u + -0.23. What is the biggest value in -3, o, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let u be 1\/(1*1\/4). Let h be g(u). Solve 0 = -0*m + m + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -5. Let a(b) = 15*b**2 - 76*b + 4. Let k be a(5). Put k, -3, x, 3 in descending order.\nAnswer: 3, k, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -189 + -4?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 11:37 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.2, -2\/15, 4\/3, 35 in ascending order.\nAnswer: -13, -0.2, -2\/15, 4\/3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erz when three letters picked without replacement from {n: 3, e: 1, z: 5, r: 11}.\nAnswer: 11\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111210002001 - 1200220?\nAnswer: 111201101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -25. Let q = x - -30. Suppose -4*t + 4*l + 236 = 0, q - 138 = -2*t + 4*l. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 35 = 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*y**5 + 3*y**2 - 38*y wrt y.\nAnswer: 1380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/10)\/((-14)\/(-210)). Solve s + 1 = k, s - 6*k + z = -k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-533)\/9 - 6\/(-27). Let b = -29 - x. Let a = 214 - 139. What is the greatest common factor of b and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - (-10 - (-126)\/9)) + (15 - 10)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x = 4*k + 406, -1487*x + 13 = -1486*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1312130, -5248660, -11809542, -20994776, -32804362?\nAnswer: -47238300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4856 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3867434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)*c*c**(1\/4)*(c**(1\/6)\/c)**(-27))**(-17) assuming c is positive.\nAnswer: c**(-24361\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -330*i**2 - 3148*i - 1607. What is g(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38988)\/(-81) + (-2)\/6. Let r = d + -468. Let a(n) = -n**3 - 6*n**2 + 13*n + 3. Calculate the remainder when a(-9) is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663168581.\nAnswer: 79, 8394539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 - 13*m\/3 + 8.\nAnswer: (m - 24)*(m - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grkxkukxikkkgukggu. Give prob of sequence xu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 226039 and -0.221.\nAnswer: -49954.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.151, -11111, -2 in descending order.\nAnswer: 0.151, -2, -11111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 17*d + 25 - 15 to f*d + o and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 51. Suppose -2*u = j - 11, -43 - 23 = -4*j + 3*u. Solve -3*d = -0*d - b*a - j, 0 = -4*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-945)\/(-56))\/(2735\/13128).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 47*r**2 - 288*r + 52. What is the units digit of h(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 + 41236*c\/3 - 212550962\/3.\nAnswer: -2*(c - 10309)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*z + 219*z - 364*z - 322*z.\nAnswer: -653*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 2*p - 2. Let m be s(-2). Let v(b) = 6*b - 13. What is the remainder when v(m) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 762132580 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883040?\nAnswer: 2, 5, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1220 and 7646350?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 33 + 9 = 0. Let z = i + 22. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(24304\/(-1624)) - (-14)\/(-21)*3?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -211.7, -515, -3, 6\/5 in decreasing order.\nAnswer: 3, 6\/5, -3, -4, -211.7, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 710562176849 take away 594?\nAnswer: 710562176255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317954 is divided by 438941.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 348\/(60\/16 - 3). Suppose 3*h + 122 = k. Calculate the highest common factor of h and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -f + 5*i + 103, -4*f + 2*i = -246. Let b be (5\/(-3))\/((-50)\/f). Solve p + 2 = -s, 0*s - b*p + 2 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8321, 14042, 19765, 25490?\n\"Answer: y**2 + 5718*y + 2602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 = -15*x + 232. What is the greatest common divisor of x and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.973 - 0.027. Let m = 10.17 + s. Let c = m + -0.083. Round c to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1942?\nAnswer: 17478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -3, 1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-65) + (-286)\/5. Is (1*f)\/(36\/(-84)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686876 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2236*g = 91655 - 4451 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 8*u - 29. Let b be d(11). Suppose -5*y = -20, -v = 6*y - 3*y - 21. Solve b*z - v = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81065 + 176*p + 81065)*(4 - 1 - 1)*(-3 - 4 + 4).\nAnswer: -1056*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tmtmmmmbtbtttttb.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 - (0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:39 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 383*x - 10482. Give g(-31).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i - 1. Let o(u) = 2*u. Let l(v) = -11*o(v) + 2*y(v). What is l(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -15797390.62938.\nAnswer: -15797390.72938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1514, -0.3, 2909?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 2*l**2 - 5*l + 1. Let x be u(0). Suppose 3*c - 3 = 2*c. Let j(g) = -g**3 - 10*g**3 - 2*g**2 + 2*g**3 - 1 - c*g**3 + 2*g. Calculate j(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-6)*(-6)\/(-4). Let l = -5.2 - -1.2. Let m = -0.23 - -0.53. Sort l, p, m in descending order.\nAnswer: m, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1011, 1930, 2727, 3342, 3715, 3786, 3495, 2782?\n\"Answer: -10*f**3 - f**2 + 992*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 8*m**2 + 3*m + 8. Let z be t(7). Let v be (25\/z + 0)*4. Sort -4, v, 2.\nAnswer: v, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 5. Let l(h) = h + 1. Let p(d) = 2*l(d) + w(d). Suppose 0 = 4*m + i + 22, 3*m + 5*i + 3 = -5. What is the units digit of p(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 726505 + -680008549\/936. What is the common denominator of u and -3\/20?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 36994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 9, g: 2, k: 5, i: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673571 is divided by 28020?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 7.6.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1225 and 1127.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6 + 325\/(-1365))\/(3\/(-21)). Solve 5*l - 8 = 2, -f*w - 4*l - 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(88)\/sqrt(8) + (sqrt(22) - sqrt(2662))\/sqrt(2))**2 + 5.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65420271 a multiple of 3285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((6 - 3)\/108). Let m be (-9)\/2*o\/27. Suppose 18 = -0*p + m*p. Solve -p*d = -7*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1124\/290 - (-9)\/15. Let k = -50\/29 - l. Find the common denominator of k and 25370\/(-344)*2\/(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -28. Let c = 47 - v. Let g = -19 + c. Calculate the remainder when 50 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21 + 16\/(-4) + 3. Let u be 4\/v + 18\/(-40). Let j = -67\/119 - 1\/119. What is the nearest to -0.3 in j, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465958 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5655 and 390?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 573 + -573.06007. Let y = 0.06 + z. What is y rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - -71. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.34502736 rounded to 2 dps?\nAnswer: -49.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 493782975 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 524 + -496. Suppose -2*t + 4 + 12 = 0. Calculate the highest common factor of t and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*j = -17 - 6, -2*y + 16 = 4*j. Let x be 278 - ((-3)\/6*y)\/(-1). Suppose x = s - 0*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (16 - 10)) + 0 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m - 112 = -25*m. Let l(d) = d**3 + 8*d**2 + 7*d - 2. Give l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 260263053?\nAnswer: -260263051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*c**3 + 3*c**2 + 170*c**3 + c**2 - 80*c**3 + 38*c**3 - 4*c**2.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3379, -6762, -10147, -13534, -16923?\n\"Answer: -u**2 - 3380*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637 is divided by 234?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -121487 (base 12) to base 11\nAnswer: -18aa11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 4*i + 144. Factor -12*u**3 - i*u + 11*u**2 + 4*u**4 - 23*u**2 + 28*u**3.\nAnswer: 4*u*(u - 2)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294\/5 less than or equal to 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 1, q: 5}. Give prob of sequence jq.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (23*(12 + -13) - (0 - 5))*-2 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -174.\nAnswer: -174, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m + 2*m + 0*m)*(-6*m + 1 + 106811*m**2 + 16*m - 107122*m**2).\nAnswer: 1866*m**3 - 60*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v*v*v*v**(-2\/3)\/v)**26*((v\/(v\/(v*v\/v**1)*v))\/v)**(-8)\/(v**1*v*(v\/(v**5*v))\/v) assuming v is positive.\nAnswer: v**(374\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.8 + -7. Let l = -0.4 - f. Let o = -0.2 - l. Which is greater: o or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sla when three letters picked without replacement from lflfafsfk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 46244880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*w + 60*w - 5 - 311*w - 78*w as u*w + q and give u.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942804 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/9 - 97492*t\/9 + 389872\/3 = 0?\nAnswer: 12, 48734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5972.71 meters?\nAnswer: 5972710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/4, 0.1, -229, -9\/7, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43222 and 3046?\nAnswer: 65827106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39832 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 = -2131*r + 2169*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -85 in descending order.\nAnswer: 0, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 38*s. Let d(p) = -2*p. Give d(z(w)).\nAnswer: -76*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**4 + 2*z**3 + 625*z**2 - 2*z + 911013 with respect to z.\nAnswer: 8*z**3 + 6*z**2 + 1250*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3202931\/2 or -1601465?\nAnswer: -3202931\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 7 = -4*r, -f + 1 = -2*r + 4*r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o**2. Let m(v) = -4*v**2 + 7*v**2 - 6*v**2. What is m(f(x))?\nAnswer: -192*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1467000 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*t + 7*t - 198 = 1786 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, f: 7}. Give prob of picking 3 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 338948181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 - 79*p + 1332. Calculate the remainder when g(0) is divided by 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21) - (-2 + 22340\/(-14)). Suppose -616 - 342 = -3*y - k, 5*y - h = -k. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - ebf21?\nAnswer: -ebf24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2. Let t(q) = 6*q**2 + 1. Calculate -5*t(i) - 4*z(i).\nAnswer: 2*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9692*x**3*z + 3647*x**3 - 3 wrt z.\nAnswer: -9692*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2) + sqrt(2)*-1) + -6*(4 + sqrt(2)) + sqrt(2))**2.\nAnswer: 240*sqrt(2) + 626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 703755881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1465 - -2207. Suppose 3*q - 732 = -5*y, l = 5*q - 4*y - 441. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(121) + sqrt(121)*2 - sqrt(121)) + sqrt(121))\/sqrt(11)*-5)**2 + -4*-5*sqrt(55)\/sqrt(5)*5.\nAnswer: 190*sqrt(11) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:17 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 6\/11, 3\/4, 53\/3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 1026.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3365867 and -3365867 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 3497?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*q**2 - 44*q + 5214 wrt q.\nAnswer: 54*q - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 42*j - 19. Determine q(14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 71094*m + 505. Is j(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -831868, -831856, -831844, -831832, -831820, -831808?\n\"Answer: 12*i - 831880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5)*a*a**(-1\/6))**(2\/17))**(-17))**21 assuming a is positive.\nAnswer: a**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/5 + (-24)\/60. Let d = -15.81 + 16. Let v = d + -0.69. Sort m, -4.4, v, 2.\nAnswer: -4.4, v, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -2.697.\nAnswer: -8.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - (-4 - -7))*1. Suppose 0 = -2*h + n*v + 51, 1 + 68 = 3*h + 3*v. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 37, -7 in decreasing order.\nAnswer: 37, 8, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -369 + 196. Let i = t + 483. What is i rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180) + (4*(sqrt(180) + 1) - sqrt(180)) - -1*sqrt(180)*2) + 3)**2 - (-4 + 2 + (1 + sqrt(180))**2)*-3.\nAnswer: 624*sqrt(5) + 9406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1 - 2) + (-8 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -68) + (4 - 1) + 4 + -47 + 36.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 970302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10349, 20356, 30363, 40370, 50377?\nAnswer: 60384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(-1) - (-305)\/(-90) and (3 - 4)\/((-12)\/79).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17022.13677 to 0 dps.\nAnswer: 17022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 7)\/(3\/(-36)). Suppose 2*r - c - 72 = 0. Calculate the remainder when r is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by 93.\nAnswer: 64\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 346277*q**4 + 2766651*q**2.\nAnswer: 8310648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 3*a + 2*a)*(-25894 - 462*a + 25894) - 5*a**2 - 10*a**2 + 9*a**2 to r + h*a + c*a**2 and give c.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 + 0.29. Which is the nearest to p? (a) 2\/13 (b) 0.2 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16\/7)\/(z\/z**(-2\/13)) assuming z is positive.\nAnswer: z**(-313\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1586689 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010010000 (base 3) to base 2.\nAnswer: -1110111110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 36 + 8 = 0. Let j(r) = r - 3. Let o be j(k). Let v(p) = p**2 + 12*p - 28. Let u be v(o). Solve m + 15 = -3*a, m + m - 5*a - 25 = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (0 + (-2 - -1)). Let l(b) be the first derivative of b**4\/4 - b**3\/3 + b**2\/2 + 2466. Let w(d) = -d**2 + d. Determine q*w(k) + l(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-4)\/(-4) - 7). Suppose 4*l = -3*f - 0 + 10, -f + 3 = l. Solve 10 = 4*b + 3*q - 18, b - c = -f*q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-15)\/35*(-21)\/(-63)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4301234 (base 6) to base 9.\nAnswer: -350374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:16 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**4 + 3*i**3 - 11*i**2 - 12*i + 9. Let h(y) = y**4 + 2*y**3 - 5*y**2 - 6*y + 4. Let b(s) = 9*h(s) - 4*k(s). Find r, given that b(r) = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*f + 87 - 87 + 33*f + 10*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqoaqqqaa?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllljnllnljlnlllnlln. Give prob of picking 4 l.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 325\/(-15) + 4\/(-12). Let s be -10 + 6 + 2\/(-2). Put s, u, -0.3 in increasing order.\nAnswer: u, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 25 = 6*i - i, 10 = -2*i + n. Let h(u) = -u + 23. Let w be h(i). Suppose -5*a + 233 = 4*s, 5*s - 316 = -3*a - w. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.978875 to 1 decimal place.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9098 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 9*c**2\/2 - 18*c.\nAnswer: -c*(c - 12)*(c - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 213*o**2 + 14*o + 20. What is the thousands digit of h(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1294247677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100251\/18677 or 4?\nAnswer: 100251\/18677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - q + 6*q + 5 = 0, -2*k - 4*q = -10. Suppose 2*x = -k*n + 25, -4*n + 18 - 1 = x. Suppose 2*d = -x*u - 0*u + 78, 5*u - 58 = 3*d. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 - 0)\/(-1 - 0))\/(-2). Suppose -3*m = -0*m + 27. Let d = j - m. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010010001010000 (base 2) to base 15.\nAnswer: 69ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*x + 168506*n**3 + n*x**3 + 24*x**3 + 11*x wrt x.\nAnswer: n**3 + 3*n*x**2 + 72*x**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 + 14*k - 25. Let a be p(-8). Suppose -a*x = -46*x - 151299. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -4, 5\/4, 0.4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1053 and 58734?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 6481407624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 7*x + 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 12*w - 25. Suppose 3*t - i - 2 = 0, 0 = -t + w*i - 6 - 12. Solve 0 = 3*x - 3*a + 9, 5*x + a = t*x + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83949.035 to the nearest one thousand.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + (-6*(-3 + sqrt(704)))**2 - (sqrt(891) - (-1 + 2*sqrt(891)) - (-4 + 0 + sqrt(891)))**2).\nAnswer: -1548*sqrt(11) + 22081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i**(-2\/3)*i)\/i))*i\/i**(7\/5))**29 assuming i is positive.\nAnswer: i**(-464\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 11*k - 2*x - 2 = 0, -16 = k - 4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92005 is divided by 202?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -1\/4, 3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 21*x**2 + 24*x + 4. Let n(b) = 11*b**2 + 13*b + 2. Let k(z) = -6*m(z) + 11*n(z). Let d(v) = -14*v**2 - 3*v - 5. Determine -4*d(c) + 11*k(c).\nAnswer: c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -34, 4, -1 in ascending order.\nAnswer: -34, -1, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 8*w**2 - 8*w. Let j be i(-7). Let t(a) = 2*a**2 - 28*a - 58. Let m be t(16). Suppose -o + 2 = 2*h - j, -o - m = -3*h. Sort h, -2, -5.\nAnswer: -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*d**5 - 260015*d**4 + 3711075*d**3 - 16003540*d**2 + 24531460*d - 8712480 = 0. Calculate d.\nAnswer: 1\/2, 14\/5, 3, 8, 5186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4\/9, 2, 0 in increasing order.\nAnswer: -4\/9, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87295340 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y - 34. Let c be s(-7). Suppose -2*n - 6*n = c. Do -2\/221 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 6. Let m be j(7). Let v = 3\/1255 + 95371\/3765. Let z = v + -538\/21. Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 27*n - 120 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 4:32 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 1)\/((-3)\/3). Let y = 4.4 + -4. Let v = -9.1 + 9.6. What is the third smallest value in y, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14606 - -2573. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64 + 1594?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.021 - -5.021. Sort 1\/11, 0.3, r, -11 in increasing order.\nAnswer: -11, r, 1\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(sqrt(13) + sqrt(468) + 3).\nAnswer: 30 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.29, 2.053, 1159?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.6, -378, 2\/3 in descending order.\nAnswer: 2\/3, 0.6, 0.5, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44363422 to the power of 1\/2, to the nearest integer?\nAnswer: 6661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8277 - -5865188778?\nAnswer: 5865180501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 1. Let f(l) be the third derivative of -l**4\/6 - 147*l**2 - l. Calculate 2*a(b) - f(b).\nAnswer: 6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {c: 4, p: 6, n: 9}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cc (base 13) to base 3.\nAnswer: -200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679.541ng to milligrams.\nAnswer: 0.000679541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) -3.2 (c) -0.2 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13114\/3160 + (-66)\/15)\/((-17)\/6)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j - 2*j**2)*(2*j + 3 + 3 + 4).\nAnswer: -4*j**3 - 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 7496785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j + 46. Let g(v) be the second derivative of -v**4\/12 + 3595*v. Calculate g(z(t)).\nAnswer: -9*t**2 + 276*t - 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.181 bigger than 0.247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.57 and 2.8?\nAnswer: 4.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1225.735 litres to millilitres.\nAnswer: 1225735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42890 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.897551nm?\nAnswer: 0.000000000004897551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18364628719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 8*y = 4*v + 10, -4*v - 35 = 3*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -10 (b) -39 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7\/224*80)\/(2\/9332)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103 (base 7) in base 4?\nAnswer: -12023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001525 rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-5*sqrt(84)*2 - sqrt(84) - sqrt(84)) + sqrt(84) + sqrt(84) + 2*1*sqrt(84))\/(2*sqrt(12)*2 - (sqrt(768)*-1 - sqrt(768))) + 5.\nAnswer: -2*sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2211?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfililcv. What is prob of sequence fic?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.1441?\nAnswer: 0.01441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 + 560*k - 555 = 0. What is k?\nAnswer: 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6641.1 - 6641. Sort -2, 128, p, -10 in ascending order.\nAnswer: -10, -2, p, 128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.17 (b) -122 (c) 0.5 (d) 4 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -85, -108, -131?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 11. Which is the closest to 0? (a) 2 (b) j (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100056 and 33?\nAnswer: 100056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 170, 360, 614, 926?\nAnswer: 1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.038253153 to 5 dps.\nAnswer: 0.03825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981710 is divided by 75516.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 + -138. What is y in -y**r + 1\/2*y**2 - 3\/4*y**4 + y + 1\/4 = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -56. Suppose 3*s - 4 = -s, 21 = 3*x - 3*s. Suppose -194 = -x*h - 66. Solve -4*j = -h - o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**3 + 9*f**2 - 7*f + 127. What is the remainder when c(-8) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p + 5*t = -30*p - 5, 3*t + 5 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/10 + 2262\/3480. What is the closest to r in 0.5, 5, -1\/12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 4, n: 1, x: 2}. What is prob of sequence ox?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -94. Suppose -1 - k = 3*s + 2*q, -20 = 4*s - 5*q. Let p be 1\/((2\/s)\/(-1)). Solve 0 = i - p*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300380, -300401, -300424, -300449, -300476, -300505, -300536?\nAnswer: -300569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185540, 370870, 555768, 740018, 923404, 1105710, 1286720, 1466218?\nAnswer: 1643988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -71 and 1206314311.8.\nAnswer: 1206314240.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4155*w - 2078*w - 1957*w.\nAnswer: 120*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 2\/9 (c) -32\/3 (d) 1\/7 (e) 0.114 (f) 0.5 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 34\/5 of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 = -c, -i - 36 = -4*c - 31. Suppose -3*o - 2*o = 3*u - 69, -27 = -2*u + 3*o. Solve -4*l + g + 16 = c*g, 2*l + 3*g = u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7281727 is divided by 1040229?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o**2 - 40*o**2 - 38*o**2.\nAnswer: -110*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 464629087*i + 941514729.\nAnswer: 464629087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3679 = -77*j - 1831 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -22. Solve 2*p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*1*(2 - 6). Is -4 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*(u*u**12\/u)\/u)\/u)\/u)\/(u\/u**(-13)))**(2\/39)\/(u\/((u*u*u*u\/(u**(-2\/21)*u))\/u)*u*u**10*u*u)**(-27) assuming u is positive.\nAnswer: u**(87694\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661894163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*-2*1*-6)**2*3.\nAnswer: 148176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 1323355\nAnswer: -23\/1323355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 26*m**2 - m - 12. Let a(j) = j**3 + j**2 + 1. Let x(d) = -2*a(d) - t(d). Let u be x(-28). Is u at most -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1201, -1200, -1227, -1300, -1437, -1656, -1975, -2412?\n\"Answer: -3*i**3 + 4*i**2 + 10*i - 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.4 + 15. Let j = t + -0.2. Let y = j + -0.7. What is the second biggest value in 1, y, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194009299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 2*g**2 + 2*g)*(2 - 5 + 6)*(3*g + 2*g + 2*g) + g**3 - g + g to l + a*g + k*g**2 + b*g**3 and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -84\/29 (b) -2\/3 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/11))\/g*g**(-4\/7)*g)\/(g**(1\/5)*g**2))\/((g**(-2\/25)*g*(g*g**(2\/3))\/g*g*g*g)\/(g**(4\/3)\/(g*g**3))) assuming g is positive.\nAnswer: g**(-51068\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38675 is divided by 146?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.554 - -0.454. Let u = q - -59.2. Let l = 26 - u. What is l rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -680 and -3?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.039 + 2.961. Which is the nearest to -1? (a) 30 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 5*p**3)*(-2*p - p + 0*p)*(-p - 4*p - 7*p).\nAnswer: -180*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.04 + -0.04. Let m = n + 0. Let f = 8 - m. Is 1 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxcccupcc. What is prob of sequence xcu?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33823713 divided by -77.\nAnswer: -439269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4845, 9657, 14469, 19281, 24093, 28905?\n\"Answer: 4812*i + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbbp when four letters picked without replacement from abakqapqqaqbbbpwppb?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579014385?\nAnswer: 5, 13, 24292529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236532053 - -44.29?\nAnswer: 1236532097.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 64 = -3*m. Suppose -32 = 3*r + 34. Calculate the remainder when 4\/r + 1038\/22 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 2\/5 (b) 2\/19 (c) -2\/15 (d) 2\/3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 48.3 - 873194.4\nAnswer: -873146.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 338*b*v**2 + 2*b*v - 2383*b - 898796*v**2 wrt b.\nAnswer: 338*v**2 + 2*v - 2383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2542, -2\/7, 195\/4, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/85 - 159\/935. What is the third smallest value in -2\/5, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7399.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 5*f - 28, -4*t + 11*f - 8*f = 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 m when four letters picked without replacement from {v: 2, m: 6, f: 3, l: 8}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 4. Let i = 24 + -13. Suppose -i = 3*o - 4*s, o - 1 = -s - 0*s. Let c(y) = y + 1. Determine o*j(q) - 4*c(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/50)\/(12\/(-10))*(-234)\/(-260)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k + 95. Let l be f(8). Suppose -l*b = -15*b - 4400. Calculate the greatest common divisor of 50 and b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43101 + 22010?\nAnswer: -21041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4723034 - 1756966237\/372. Let c = 2\/31 - n. Let b = -3883 + 15617\/4. Calculate the common denominator of c and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/89 (b) -3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11654 (base 11) in base 15?\nAnswer: 4e72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2169352 = -4*n - 3190660, -2*g - 2*n = 5360006. What is g rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 3, t: 1, h: 2, l: 1, p: 3}. Give prob of picking 1 h, 1 l, and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 25. Suppose -9*k + 52 = -38. Let a be x(k). Find the common denominator of (48\/a)\/8*(-67)\/4 and 83\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x + 12. Let i be z(2). Suppose -4*b = i*b - 1584. Let n = -49 - -67. Calculate the smallest common multiple of n and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 + 488 = 0. Suppose -15*m = -14*m - t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/9)\/h**16 assuming h is positive.\nAnswer: h**(-143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -3ebd?\nAnswer: 3ec2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -w + 4*w. Is ((-2 - -3) + w)\/(1\/319) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 22*r**2 - 20*r - 24. Calculate w(-21).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 105*d + 13*d)*(-20 - 24 + 21 + 80).\nAnswer: 6897*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 45. Suppose 4*m + a - 6*a = 65, 5*m + 4*a = 30. Calculate the remainder when q is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:18 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/12 + 0)\/(2\/(-90)). Let q = 192 + w. What are the prime factors of q?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4483 - 4483 + 12*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -9431*n - 188619. Determine m(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(110\/175)*(6264\/126)\/(-29)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 4*w - 2*w)*(4*w**3 - 3*w**2 + 3*w**2) + (-8*w + 2*w + w)*(-2*w**3 - w**3 + 2*w**3) as y*w + l*w**4 + c + j*w**2 + s*w**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2538123 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 6453.\nAnswer: 32265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -9*l - 10. Suppose -l*o - 14 = -44. Suppose 3*n + 1653 = o*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16106, 16004, 15902, 15800, 15698?\nAnswer: 15596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 53668?\nAnswer: -53667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 498 + -285. Suppose -5*l - 5*c + 853 + 137 = 0, 0 = l - 2*c - r. Suppose 4*f + g - 162 - 61 = 0, -4*f - 5*g + l = 0. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569379.2 nanoseconds to milliseconds.\nAnswer: 0.5693792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1781 divided by -3\nAnswer: -1781\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 38. Give x(18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 171, 256, 343, 432?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 13 = 3*f, 7*f - 2*f - k = -31. Suppose 6*o = -4*p + 8*o + 16, -5*p + 20 = -3*o. Put f, p, -5 in decreasing order.\nAnswer: p, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4711 is divided by 89.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k - 8*k + 8*k + 6*k - 26*k + 7*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (7 + -30)) + -14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*(-90 + 15). Suppose -72*w = -q*w - 285. Let c = -35 - w. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*m + 5)*(-m + 5*m - 2*m) + 341*m**2 - 89*m**2 - 130*m**2 - 3 + 3 - m**2 + (-3 - m + 3)*(0 + 0 - 2*m) - 2 - 7*m**2 + 4 + 8*m**2.\nAnswer: 120*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**7\/105 - 5*o**6\/12 - 61*o**5\/10 - 275*o**4\/12 + 484*o**3\/3 - 1394*o**2. Factor f(c).\nAnswer: -2*(c - 1)*(c + 4)*(c + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1340*q**3 - 56 + 2633*q**3 - 1319*q**3 in the form w*q**2 + x + g*q + t*q**3 and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1699689660 from -12323.\nAnswer: 1699677337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1340738 times 0.4?\nAnswer: 0.05362952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, -4.\nAnswer: -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320425 - 10?\nAnswer: -320435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-12) + 21\/4. Let f(i) be the second derivative of 2*i**3\/3 + 67*i**2\/2 - 217*i. Let k be f(-16). Solve 0 = 2*w + 2*t + x - 1, -t = k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10432 * -1177\nAnswer: -12278464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 9:59 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -161*m + 15. Let u(q) = -135*q + 15. Let v(i) = -5*d(i) + 6*u(i). Give v(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5088 + 5964. Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36274 <= 5041934\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/28 of a week?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/2 in -8, -14219, -0.3, -3, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/14*(28 - 14). Let i(p) = -p**2 + 2*p + 132. Let h be i(o). Solve -7*b - h = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 12*y**4 + 299*y + 276. Find the first derivative of g(f) wrt f.\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-4)\/3*3. Let l(q) = 4*q**2 + q + 1. Let b be l(-2). Suppose 5*w + b = k*w. Sort -3, 4, w in descending order.\nAnswer: 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(19) + 0)*1) + sqrt(304) + 0)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-1)\/(-5 + 6)) + (-14 - -8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 68. Suppose -5*a = p, 23 = 4*r - 5*a - 2. Let t(q) = -q + r + 5 + 0. Give t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 45 = -10*i + 5*k, 3*k + 3 = 0. Suppose 8*p = 12*p - i. Suppose -5*z - t + 29 = 0, -t - 2*t + 22 = p*z. Sort 2, z, -2 in increasing order.\nAnswer: -2, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/105 + -2959\/210. Calculate the common denominator of 195\/36 + 49*(-8)\/(-56) and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 1\/4 (b) -2 (c) -0.7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/9 + 232*t**4\/9 - 8888*t**3\/9 + 12116*t**2 + 15210*t - 26364 = 0.\nAnswer: -2, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -458*q**4 - 215166*q**3 - 6*q**2 - 2*q - 10004305.\nAnswer: -10992*q - 1290996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -11*w**4\/12 + 780*w**2 - 17*w. Let u(z) = -12*z - 4 + 4. What is u(c(r))?\nAnswer: 264*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -4*p + 16*v + 25, -6 = -p + v. Let t(u) = -273 + 272 + 4*u + p*u**2 - 2*u**2 + 0*u. Determine t(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkkkkkckkkkkkkkk.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 77, -3, 8 in descending order.\nAnswer: 77, 8, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17308811 + 18?\nAnswer: -17308793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12834787.\nAnswer: 7, 73, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 2*r - 4. Let o(s) = -2*s**3 + 3*s + 5. Calculate 3*o(u) + 4*p(u).\nAnswer: -2*u**3 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*u, 3*n + u - 2 - 11 = 0. Let l = 14 + n. Let s(p) = p**3 - 16*p**2 + p - 13. Is s(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**4 - 480*v**3 + 16985*v**2 - 46500*v = 0?\nAnswer: -124, 0, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011100111110100 - 100?\nAnswer: -111011100111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2 - 3*m - 3*m - 2 - m**2. Let g be l(-6). Let z be (-3)\/(-45) - 2\/3. What is the third biggest value in 0.2, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - 3*j)*(40*j - 46*j - 5*j + 11*j**2).\nAnswer: -11*j**3 + 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -91.9, -7, 5, -1, -0.3, 1\/6?\nAnswer: -91.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/57)\/(44\/(-132))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {t: 1, e: 1, v: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-234)\/12*(-768)\/18?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 - 42\/(756\/846)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + v - 35 - 133 = 0, -2*f - 4*v + 162 = 0. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyynyyynnynynlnl. Give prob of picking 3 n and 1 l.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3002262*o**2*t**2 - 403*o*t**2 - o*t - 365*o - t**2 wrt o.\nAnswer: -6004524*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 490659650 to the nearest 1000000.\nAnswer: 491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 358264.4ml in litres?\nAnswer: 358.2644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 867 - 863. Let y(k) = -k**3 + 4*k**2 + 4*k + 7. What is y(r)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 124657523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4\/5 (b) -23 (c) -2 (d) 5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-454*n + 24*n**3 + 454*n)*(2*n - 3*n - n).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4534?\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457.\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105637667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 294\/(-3)*130\/(-1820)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g**2 + 6*g - 19665. Give p(-50).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55024206 by 2757.\nAnswer: 19958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 2*k + 1. Let y be v(-1). Let t(f) = f - 4 - 10 + 10 - 4. Let d be t(6). Sort 1, 4, d, y in ascending order.\nAnswer: d, 1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(225\/(-24))*(-10)\/(-4). Solve -b*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 8*h**2 - 9*h - 7. Calculate a(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2 - 153112*b - 5361370 = 0.\nAnswer: -35, 76591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 33 = 4*m. Suppose -87 = 5*a - 0*f + 3*f, f + 4 = 0. Let w = a + m. What is the remainder when 51 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16*l. Let m(u) be the second derivative of -11*u**4\/12 + 938*u. Calculate m(f(s)).\nAnswer: -2816*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykk when three letters picked without replacement from {y: 4, k: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:36 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.158986.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-200)*36*(-80)\/(-24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/8, 0, -3\/4, -0.2, -5, -11\/25?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -0.047 in decreasing order.\nAnswer: 5, 2, -0.047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**16\/(j\/j**(-18)))**34)**(2\/9) assuming j is positive.\nAnswer: j**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-15)\/(u*u**(-2\/5)))\/((u*u\/((((u*u*(u\/u**(2\/23))\/u)\/u*u)\/u*u)\/u*u))\/u**(-6\/13)) assuming u is positive.\nAnswer: u**(-24142\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (-4)\/(-3). Let i be (39\/(-104))\/((-171)\/12). Let q = 203\/950 + i. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 11*k + 8 = 14*k, -3*k = -5*x - 44 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 810 + -802. Which is greater: b or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from fen?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 52463?\nAnswer: -52460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 4. Let c be s(13). Let x = c + 9. Is x at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -18. Let g(b) = 3*b**2 + 5*b - 3 + 1 - 6*b**2 - b**y + 4*b**2. Calculate g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 8:44 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 - 4*o**2 - 4*o. Let q(b) = -5*b**3 - 9*b**2 - 9*b. Determine 9*i(n) - 4*q(n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-7)\/10 - (-248)\/(-40).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = -43 + 73. Let i(g) be the first derivative of 0*g - 4 - 11\/6*g**6 - 3*g**m + 0*g**3 + 0*g**5 + 0*g**4. Find the second derivative of i(r) wrt r.\nAnswer: -220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10886301817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -6*s + 1\/12*s**4 + 0 + 0*s**3 - 1\/2*s**2. Suppose 5*b + 1 = 3*b - m, -3*b - 4*m - 14 = 0. Give o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 6*v - 6 = 0. Solve v*c = -0*c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134094.7671 minus -3.62?\nAnswer: 134098.3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 57673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 5158890?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003122440776 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59778 + -38182?\nAnswer: 21596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r - 3. Let q(n) = n + 5. Let j be q(0). Suppose -3*o + j*o = 64. What is the remainder when o is divided by f(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1552 + 18db?\nAnswer: 304d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 628.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 263.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2102, 2, 0, -4, 3 in increasing order.\nAnswer: -4, 0, 2, 3, 2102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 6*b + 4. Let f be k(-6). Let n be (-6)\/8*(0 - f). Suppose 0 = 4*t, 4*s - 4*t - 200 = -n*t. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:02 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 27*v**3 - 25*v**2 - 5*v + 5. Let g(i) = 13*i**3 - 12*i**2 - 2*i + 2. What is 2*c(j) - 5*g(j)?\nAnswer: -11*j**3 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = -26. Let d be i*-2*(-74)\/(-8). Let t = d + -66. Calculate the greatest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9\/84)\/((-4)\/(-64))*623?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/20)\/(4\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18) - ((-7088536)\/168525 - 8\/50)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + h**3 - 3 + 2 - h + 2 as u*h**3 + q*h**2 + n + o*h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 62.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -202807000+8753\nAnswer: -202798247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 147092 to the power of 1\/2, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175235940969 + -1708.\nAnswer: -175235942677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 118717392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5550 (base 7) to base 5\nAnswer: -30440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -252 - -337. Calculate the greatest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -597, -895?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**2 - 2*l + 1. Let n(b) = 3*b - 147 + 74 + 70. What is -5*n(o) + 8*w(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/480 - z**5\/80 - z**4\/32 - z**3\/24 + 8*z**2. What is i in m(i) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m + 17*m + 14*m - 405 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8260 = -446*i + 8600 - 36912 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((7 - -5) + -4) - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 407 - 2882\/7. Let c = -1656 - -11615\/7. Find the common denominator of c and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62528, 125061, 187594, 250127, 312660, 375193?\nAnswer: 437726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6464\/(-2240))\/101*(-20)\/8*(-2)\/4?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11123322 (base 4) to base 2.\nAnswer: -101011011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -315463 - -209363. Round a to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -5 + 3)\/(-2) + -1. Is z bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awu when three letters picked without replacement from uawawn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5\/2 + 72*p**4 + 513*p**3 + 1356*p**2 + 2907*p\/2 + 540 = 0.\nAnswer: -40, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*f + 179 = 3*t, -2*t + 87 = f. Let z(n) = -n**2 + n - 113. Let b be z(0). Let l = 90 - b. Calculate the remainder when l is divided by t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50\/9 (b) -1 (c) 0.09 (d) 1642 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 2. Let g be -2*15\/(-6) + -1. Suppose 6*z - g*z = 56. Calculate the remainder when z is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(605) + -2 + 0 + sqrt(605) + (-2*sqrt(605) + -5)*6 + -4 + 5)**2.\nAnswer: 10472*sqrt(5) + 119736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17624 + 20b9?\nAnswer: -1555a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + ((-4 + 0 + sqrt(76) - sqrt(76))**2 + (0 + (1*sqrt(76) - sqrt(76)))**2 + sqrt(76) - (5 + sqrt(76) + (-5*-1*sqrt(76))**2))).\nAnswer: -5658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-22) - (-50)\/275?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2551 divided by 1?\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2513 divide 28642364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-57*232\/15428)\/((-9)\/98)\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*a = -7, -5*k + 6*a - 6 = 5*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 16. Let p be i(14). Suppose 0 = -2*s - a + 1, -1 - 1 = p*a. Let x be 30\/(-5) + (s - 2). Let t(d) = d**2 + 6*d - 6. Give t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let f(g) be the second derivative of 7\/12*g**4 + 3*g + 0 + 0*g**3 + 0*g**2. Give f(m(j)).\nAnswer: 28*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1820 and -103\/2663024.\nAnswer: 13315120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 613\/(-19003)*4\/2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*l**2 - 37*l**2 + 102*l**2 + 90*l**2 + 57*l**2 as m + b*l + d*l**2 and give d.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -27*f**2 - 716*f - 4288. Give t(-6).\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2970*c - 18. Let z(m) = 849*m + 5. Give 5*i(y) + 18*z(y).\nAnswer: 432*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-154)\/7)\/(-11) - 1. Put 22, 0, -2, 5, r in increasing order.\nAnswer: -2, 0, r, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) - (-2)\/5. Let w(p) = 29*p - 2637. Let z be w(91). Factor f - 2\/3*s**z - 2\/9*s**3 - 4\/9*s.\nAnswer: -2*s*(s + 1)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 8 + 246 = 149*h - 15*h. What is c in -15\/4*c**h - 5\/4*c**4 + 25\/4*c**3 + 0*c + 0 - 5\/4*c**5 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.21 and -0.74.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - j = -35, -2*d = 3*j - 116 + 99 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -35 + 9 - (-59 - 15).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1482780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7437 - -66935\/9. Factor -2\/9 + 2\/9*r - j*r**3 + 2\/9*r**2.\nAnswer: -2*(r - 1)**2*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -1, 46, -0.1, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 3.328, 0.4, 4\/3, -0.5, 151, 1?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*-1 + sqrt(700))*6)**2 + (-2*sqrt(252))**2*-4 - ((-2*sqrt(63)*-1)**2 - (sqrt(42)\/sqrt(2))\/sqrt(3)*5).\nAnswer: -4284 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*i - k - 3, -4*k - 4 = 0. Suppose 0 = 3*g - 6*g + i. Let s = -3 + g. Do s and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - 46 - 2*f + 46.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*n**2 + 350*n**2 - 28*n + 66*n - 35*n to the form w*n + p + c*n**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 21098.\nAnswer: 21098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -429.5 + 430. Let c = 0.1 - 0.4. What is the smallest value in 9\/8, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1403*m + 138. Let r(x) = -51*x + 5. Determine -5*b(s) + 138*r(s).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -389a - -24?\nAnswer: -3876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {d: 5, b: 3, f: 2, i: 8, y: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 35. Suppose -5*n + 3*y = -35, 0 = -5*n - g*y - 18 + 88. Let d = n - -61. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) - 72\/20. What is the lowest common multiple of j\/14 - (-284)\/14 and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(0 - 3\/6). Let j = t - 1\/4. Let i = -78.3 + 78. What is the nearest to 1\/2 in 0.3, i, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52042.90001 - 52041. Let g = 1.56 + 0.34. Let h = v - g. Round h to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -29.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3426, -6950, -10576, -14310, -18158?\n\"Answer: -i**3 - 45*i**2 - 3382*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 3 (b) 0.4 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -170*b**3 + b**2 + b + 1. Let m be s(-1). Let l = 127 + -108. Calculate the greatest common factor of m and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 218 - 223. Let y(b) = 13*b - 68. Let n be y(6). Put -1, n, f in decreasing order.\nAnswer: n, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/2 + 12365*d**2\/2 - 338342*d - 2252730 = 0. Calculate d.\nAnswer: -6, 61, 12310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11224 (base 5) to base 15.\nAnswer: -394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -76, 5, 12, -36.\nAnswer: -76, -38, -36, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -277973*p**5 - 37*p**3 + 31*p**2 - 15*p + 369 wrt p.\nAnswer: -16678380*p**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-6))\/(935\/(-57222)))\/(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*(-1962)\/(-27)*118\/1357*-23.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 2*k - 277 = -79 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -10. What is the lowest common multiple of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 25 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 896 or 8967\/10?\nAnswer: 896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -m - 12, 5*c + 30 = -m + 3. Is 12415\/78 + m\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f**3 + 6*f**2 - 6. Let g(h) = h**3 - h**2 + 1. Let i = -102 - -108. Determine i*g(x) + r(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 4*i**6 - 35*i**4\/4 - 14*i**3\/3 + 3*i**2\/2 + 18*i + 645. What is the third derivative of n(h) wrt h?\nAnswer: 1440*h**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 - g**2 + 38*g + 83. What is the remainder when 293 is divided by d(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2035630474407 - 6*j**3 - 2035630474407.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1368841, -1368845, -1368851, -1368859, -1368869, -1368881?\n\"Answer: -s**2 - s - 1368839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 403334.9052 rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126842, -253630, -380402, -507152, -633874, -760562?\nAnswer: -887210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1306164285.\nAnswer: 3, 5, 3225097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1791753?\nAnswer: 3, 61, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.97 - -0.03. Let b = 33.64 - 34. Let t = b - 1.64. Is t less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -738, -1525, -2358, -3237, -4162?\n\"Answer: -23*c**2 - 718*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + 2*n - 2. Determine r(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.03192634 * -0.3\nAnswer: 0.009577902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6300210 >= 6300207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + w - 2 + 5, 5 = 5*w. Let d(o) = -2*o + 6. Let q be d(6). Let x be (q + r)*(-1 + 0). Solve -x*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11644.03 less than 1442.06?\nAnswer: -10201.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 13211?\nAnswer: -13211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 337297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 - 305313\nAnswer: -305313.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:37 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/2 + 51\/22. Which is the second smallest value? (a) -1 (b) 0.5 (c) 2\/9 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 51.2. Let i = -1608 + 1600. What is the nearest to 1\/2 in 2, i, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 17. Suppose 2*z - r = 2*v, -3*v + 7 = 2*z - 2. Solve 1 = z*a + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 - 11*c + 15. Let f be p(13). Let i = f - 391. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/18*(3 + -1). Let t = 125 - 121. Sort t, z, 2\/13 in decreasing order.\nAnswer: t, z, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 722375 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b6936c (base 14) to base 6.\nAnswer: 1205400432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 1. Let p(y) be the third derivative of 3*y**4\/8 - y**3\/2 - 5*y**2. Let c(s) = -5*k(s) + 3*p(s). What is c(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - -3) + (0 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 53668455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/3 - 3*c**2\/2 - 24*c + 3. Let a be s(7). Solve 0 = -q + 2, 0*b - 6 = a*b - 3*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*x = -194*x + 2111325. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, -1\/6, -5, 0.092?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -737147 equal to -736412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 27*b - 149206. Let k(j) = 80*j - 447621. Let i(s) = 2*k(s) - 7*l(s). Let c be i(0). Round c to the nearest one thousand.\nAnswer: 149000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5922*t**5 - 11059*t - 1069*t - 1084*t wrt t?\nAnswer: -118440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-6)*(-6)\/(-4). Suppose o = -4*r + 22. Solve 4 = -4*t - 3*a - a, 5*t = r*a - 25 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12070 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) - (20\/(-28) + -1). Suppose w = -0*w - 4*z - 8, t*w - 20 = 4*z. Calculate the lowest common multiple of 322 and w.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42759*w = -42762*w - k - 30, 4*k = 2*w + 34 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 3*x + x. Suppose 0 = u + 5*a - x, -5*u + 5*a - a + 393 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6330 - -6252.7. Round j to 0 decimal places.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 12 - w**2 - 5*w - 8 + 2. Let q be u(-6). Let n = 5 + q. Put -5, n, -1 in descending order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -38. Let w be 6\/j*2\/2. Let m = 1\/4 - -7\/20. What is the closest to 0 in m, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1058*-3*(-1)\/(-3). Is (0 + 3)*i\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-399)\/(-8892)*-60*-13.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/(-242) - 96\/(-286). Which is greater: q or -4\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 5, -26, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0 - 6)*(2 - 2 - 2*k)*(-2 - 2 + 10).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/264 and 139\/36?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -8.23. Let y = v + -0.07. Which is the nearest to -1? (a) 5\/3 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287921.\nAnswer: 3, 331, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 158 = 242 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 0.04 (c) 3 (d) 0 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -23*c + 60*c - 17*c - 21*c. Let o(v) = 24*v + 2. Give n(o(b)).\nAnswer: -24*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570868.\nAnswer: 2, 43, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/27*2763\/11666?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 378182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -69963598\nAnswer: -2098907.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1533 divided by 219.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 784*a + 5*a**2 + 8 - 784*a + (4*a**2 - a**2 - 2*a**2)*(2 + 2 - 6) to the form s + m*a**2 + p*a and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 less than -6932?\nAnswer: -6890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(-5*(sqrt(288) + sqrt(288)*-4 + sqrt(288) + -3 + 0 + -1))**2)*-6.\nAnswer: -175170 - 28800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 5. Let o be 1 + 0 + v - -2. Solve -a + 3 = -o*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**9\/5040 - h**7\/840 - h**4\/3 - 8*h. Let d(n) be the third derivative of v(n). Factor d(l).\nAnswer: 3*l**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 262*q - 5066. Let m be b(-21). What is the second smallest value in 4\/7, m, -0.5, 163?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -694*q + 792*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 divided by 243287?\nAnswer: 32\/14311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (30\/45)\/(6\/11385)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479, 460, 421, 362, 283?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2683, 0?\nAnswer: -2683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1462 - -2132. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103161*h*y**2*z**2 - h*y**2*z - h*y*z**2 + 41*h*y + 4*h*z**2 - 7*h*z - y**2 - y - 762 wrt z?\nAnswer: 206322*h*y**2 - 2*h*y + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + -0.2. Let q = 1.39 + -1.09. Which is the closest to -1? (a) q (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*n + 288 = 50*n - 4*n. Factor 2\/7*t**n + 4\/7 + 6\/7*t.\nAnswer: 2*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 937*t + 1879. Determine h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**4 - 2*t**3 - 16 - t**4 + t - 2*t**4 + 14*t**4 - 229*t**2 + 228*t**2 in the form l*t + d*t**4 + a*t**3 + b + f*t**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54539\/13090 + -72\/595. Let m = 44 + -60. What is the common denominator of y and (268\/m)\/(5 + -4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 - 122. Let x be 2\/(-2) + 98\/k. What is the third biggest value in x, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3775, 3784, 3803, 3838, 3895, 3980?\nAnswer: 4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(245*h - 172*h + 84*h)*(0 + 0 - 2*h**2).\nAnswer: 314*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -230 + 1530403?\nAnswer: 1530143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 5*i**2 - 6*i - 4. Let b be y(-6). Let k = -12 + 11. Put k, -2, b in decreasing order.\nAnswer: k, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(312\/(-234)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67810.1 and 0.06.\nAnswer: -4068.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16230 - 5?\nAnswer: 16222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(225) - sqrt(225)*4) + sqrt(225)) + sqrt(225))\/(sqrt(36)\/(2*sqrt(12)) - (sqrt(3) - sqrt(363)*-2)).\nAnswer: 22*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 14252*o - 171219. What is z(-12)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 100 = -35. Calculate the remainder when 593 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c + 3*j = 28*c + 41, 23 = -3*c + 5*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730026.1 nanograms to milligrams.\nAnswer: 0.7300261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.8. Let v = 351 - 353. Which is the closest to 0? (a) v (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 p when four letters picked without replacement from {p: 5, i: 15}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2013)\/297 + 7 - (-4)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1. Let s(c) = c**2 - c + 2*c - 155 + 156. Give -3*s(w) - 3*t(w).\nAnswer: -3*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.05, -320, -1393, 0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -3*r - 5. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33.9 + 34.279. Let l = 401.621 + h. Let y = l + -401.999719. Round y to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.8. Let c = 1169 + -1169.3. Sort r, c, 22.\nAnswer: c, r, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(76) + 1 - (3 + sqrt(76) + -1))**2 - ((5*((sqrt(190) - sqrt(190)*-3) + sqrt(190)))\/(sqrt(10) - -3*sqrt(10)*-3))**2.\nAnswer: -6947\/64 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2057 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.099762 milliseconds in minutes?\nAnswer: 0.0000516627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(288) + sqrt(288) + sqrt(288) - (4 + -3*sqrt(2))**2.\nAnswer: -34 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111*g**2 - 229*g**2 + 23 + 119*g**2 - 323 to m*g + h*g**2 + a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -94*h - 97. Let f be t(-7). What is the highest common divisor of f and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 995*q*t*x**3 - 6*q*t*x**2 - 7*q*t - 3*q*x**4 + 1559*t*x**3 - 16968*x**2 wrt x.\nAnswer: 5970*q*t - 72*q*x + 9354*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**3\/3 + n + 32. Let g(m) = 6*m**2 - m. Let p(r) = -g(r) - 2*q(r). Let s(j) = 9*j**2 - 2*j + 5. Give 7*p(v) + 3*s(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 + 25*g - 43)*(-2 - 2 + 1 + 0 + 3 - 5 + (5 - 2 - 1)*(3 + 1 - 5) - 1 + 3 + 0 + 1 + 2 - 4 + 6 - 2 + 3 - 1 + 2 + 1) to the form j*g + d and give j.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2 (c) 1246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3298 or 19?\nAnswer: -3298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 4*s - 27. Let q(a) = a**3 - a + 14. Let t(k) = 3*c(k) + 5*q(k). Let p(j) = -j**3 + 4*j - 6. Calculate 11*p(v) - 6*t(v).\nAnswer: -5*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7872 = -3*f + 3*o, -4*o = 7*f - 27610. List the prime factors of f.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*w = -30, -3*m = -m - 3*w - 55. What is the highest common divisor of 100 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.15107 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6 - 1 - ((-1)\/(-7) - (-1724200)\/(-259))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffafaf. Give prob of sequence fafa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 385?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 + 4*u**2 + 4*u**2 - 4*u**3 - 26*u**2.\nAnswer: 3*u**3 - 18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -28*j. Let k(h) = -h. Suppose 5 = 3*a + 2*a. Let t(l) = a*y(l) - 24*k(l). Let b(z) = 27*z - 13*z - 4*z - 12*z. What is t(b(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302461?\nAnswer: 19, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 226069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/35)\/((-2)\/5). Solve -x*y + 5*y = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*i**5*l + 4*i**5 - 2*i + 10*l - 1 wrt i?\nAnswer: -260*i**3*l + 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*v + 24 = 0, 2*x = 5*x - v + 2. Let l = x - -1. Differentiate 3*b**2 + l - 1 - b**2 - 3 wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 261, 28, -14 in increasing order.\nAnswer: -14, -2, 5, 28, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + -4304374520.\nAnswer: -4304374527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71595998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69796429\/98370510 - 1\/468431. Calculate the common denominator of -103\/30 and m.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1776 (base 8) to base 5.\nAnswer: 13042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*p**5 + 5*p**5 - 11*p**5 + (-13 - 8 + 25)*(1 - 3 - 2)*(-p**5 - 3*p + 3*p)*(-1 - 4 + 3).\nAnswer: -98*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 36*n + 584 = 0, n = -s + 78 - 90 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 54. Let l be s(12). Let o be 27 - (-1 + 1 + -2). Let k = o + l. Are -4\/29 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 - 3 = 0. Let n(p) = 3*p**2 - p - 10. Let k be n(5). Let q be 3*((-232)\/k - -4). Put 2\/11, q, s in increasing order.\nAnswer: s, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 18.6. Which is the nearest to 4? (a) -0.4 (b) -0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 23 + -5 + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032018 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 263212.1 years in centuries?\nAnswer: 2632.121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 6*u**2 + 37*u + 49. Give a(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*o - 11 - 8, -3*o + 21 = -3*v. Solve -3*p = -o*z - z + 11, 0 = -p - 3*z + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/11)\/(z**(-9)*z) assuming z is positive.\nAnswer: z**(85\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -2*s**3 + s**2\/2 - 765. Calculate j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -10. Let j = o - -8. Factor 0 - 9*s**4 + 2*s**j + 0 - 12*s**3 + 4*s - 1.\nAnswer: -(s + 1)**2*(3*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4, -1, 18.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0\/r)**(34\/5))**(12\/5))**38 assuming r is positive.\nAnswer: r**(-15504\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + k**2 - k - 1. Let v(y) = -y**3 + 8*y**2 + 5*y - 9. Let d be v(8). Let t = 37 - d. Let r(h) = 7*h**3 + 6*h**2 - 6*h - 7. Give t*a(o) - r(o).\nAnswer: -o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 26*m + 53490 = 4*c, 3*c - 5*m = 40120. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -863\/3 - -293. Let z = -11\/2 + k. Which is the nearest to 0? (a) -0.3 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12222012212000222 - -12?\nAnswer: -12222012212000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6129.211 - -6129. Which is the second biggest value? (a) 11 (b) 1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(8) + -2 - (-1 + sqrt(11)*-4).\nAnswer: -1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)\/(h**(-2\/11)*h)*h\/h**(-1\/3)*h\/(h*h**(2\/5)))\/(h**(-1\/6)*h**3*h*h**(-2\/11)\/(h*h**(-1\/3)*h)) assuming h is positive.\nAnswer: h**(-1729\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 3*q**2\/2 - 20*q + 39. Let g be c(25). What is the highest common divisor of 33 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13452803 and -79.\nAnswer: 13452724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1501131 and 1088667?\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12564 and 89\/13893690.\nAnswer: 83362140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:01 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 4*s**2 - 5*s**2 + 10*s**2 - 2 + 0 - 6*s to the form m*s**2 + u + k*s + r*s**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 21*o - 53. Let t be p(-22). Is -31 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -35. Suppose 0*p - 4*w - 57 = -k*p, 0 = -2*w. What is the remainder when 35 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**8\/1680 + x**5\/24 + 2*x**3\/3 - 3. Let q(b) be the third derivative of n(b). What is the second derivative of q(v) wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -4\/9, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1591460731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-24))\/(35\/147).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(2 - 4 + 2*r**3 - r**3 + (2*r**2 + 5*r**2 + 0*r**2)*(-r + 0*r + 2*r) + 12*r**3 - 6*r**3 + 6*r**3).\nAnswer: 20*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m + 36 = 0. Suppose 4*i + 12*o - 1538 = 17*o, -5*o + 784 = 2*i. What is the highest common divisor of i and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 + (-3 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 times -8.405?\nAnswer: -327.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**7\/105 - g**6\/75 - g**5\/50 + g**4\/30 + 9*g. Find l, given that d(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40033*k**3*q**2 - 16*k**3*q - 46*k**2*q**2 - 2*k**2*q - 21910*k - 15*q**2 wrt k.\nAnswer: 240198*q**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 - 5*g + 7. Let s be o(-5). Let f(j) = 8*j + 2. Let p be f(4). Let y = s + p. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150882470 a multiple of 2189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*v - 20, 0 = 2*r - 5*v - 0*v - 14. Suppose 3*j - 1 = -2*h - 5, -3*j - 8 = 4*h. Let y be 6\/4*2\/9. Put h, y, r in decreasing order.\nAnswer: y, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -8\/51 (b) 0.4 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfmzzmmbmbmdbmzmz. What is prob of picking 1 m and 2 b?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**4 - 9*a**3 + 7*a**4 + 0 + 121*a**2 + 4 - 10 + 8 wrt a?\nAnswer: 264*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = -45. Let n be (-685994)\/(-14) + w\/(-35). Round n to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(343)*1*-6)**2*-2 + -5)*5.\nAnswer: 740855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 + -752\/3. What is n in -1\/3*n + 1\/3*n**3 + q*n**2 - 1\/3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3488475, -6976964, -10465453, -13953942, -17442431, -20930920?\nAnswer: -24419409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18289.69 - -18440. What is f rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(1*-1*sqrt(3))*1 - ((sqrt(19) - sqrt(228)\/sqrt(12))*6 + 2 + sqrt(19)*-4)**2.\nAnswer: -308 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q. Let g be 7\/3 + (-5)\/15. Let a be 2 + -4 + (g - 0). Let u(h) = -4*h + a*h + 4*h - 2*h. What is u(r(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdk when three letters picked without replacement from dokdpdhdod?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -850 - -855. Suppose n*p = -262 + 7992. List the prime factors of p.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -8. Factor 29*m**2 - 30*m**2 + 3*m - k*m + 3*m.\nAnswer: -m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*s**2 - s - 107 + 518 - 212 wrt s.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (3 - (-1)\/(-1)). Let z be x\/(-4) + 3\/(-18). Which is the nearest to 1? (a) 2 (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 + 29*z**2\/3 + 104*z\/3 + 100\/3.\nAnswer: (z + 2)**2*(z + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**2 - 41*r + 4. Suppose 0*f + f - 4 = -w, 3*w = 5*f + 20. Let i be s(w). Which is smaller: 1\/124 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 17127909 = -38333531 + 10831640. What is z rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(26\/7410). Let h = -49 + k. What is the remainder when 137 is divided by h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17078, 17041, 16958, 16817, 16606?\nAnswer: 16313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 543, 561, 597, 657, 747, 873, 1041, 1257?\n\"Answer: c**3 + 3*c**2 + 2*c + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 19*q**2 - 6*q + 35. Let l be k(19). Let y = l + 148. Let z = y + -34. Is z a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9*l\/(l*l\/l**(2\/25)*l)*l assuming l is positive.\nAnswer: l**(202\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-786)\/90 - 12\/20). Is j at most as big as 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = 8. Suppose 5*u - 27 = 2*j, 0 = p*u + j + 5 - 23. Calculate the highest common factor of 21 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) 18.2 (c) -4 (d) 0 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 10, -5*j = -j + 2*t - 218. Suppose 2*h - j = -4. Suppose 0 = -2*d - g + 29, -11 - 32 = -4*d + 3*g. What is the remainder when h is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4319\/6 + 731. Let d = n - 11. Suppose -2 = 4*o + 5*w, 2*o - 2*w - 10 = -2. Which is the second smallest value? (a) d (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - (-226 + 222 - (48 + 1)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 6, n: 3, k: 3, s: 6, u: 1, y: 1}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(-2 + (51 + 0 - -5)). Suppose 0 = -7*m - 11*m + t. Solve -5*q + 12 = m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2. Let k(v) = 17308*v - 9128*v - 8893*v - 7. Determine k(g(r)).\nAnswer: -1426*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2939 - 2940. Is -1\/49 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455471, 455470, 455469, 455468, 455467?\nAnswer: 455466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 404*d**3 + 2328*d**2 - 4592*d + 3040.\nAnswer: 4*(d - 95)*(d - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - 37 - (10 + -5 - 21).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 6*t + 2. Let n be ((-28)\/(-7))\/((-4)\/(-6)). Calculate b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/((-12)\/52))\/(-2). Which is bigger: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 3*u - 4*y + 8, 2*y = 4. Suppose 0 = 2*g - 4*v - 18 - 32, u = 2*g - 2*v - 46. Solve g = -5*w - 4, 4*i - 3*w - 31 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let j(r) = r**2 + r + 8. Let v be j(0). Let c be 12\/v + 2\/(-4). Does u = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -16412924*m. Let d(v) = -2*v. What is b(d(p))?\nAnswer: 32825848*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/2591870?\nAnswer: 7\/2591870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drcrdccrcaaodccdo. Give prob of sequence ooc.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 24, 5, -2.\nAnswer: -2, -1, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12038862 is divided by 122.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, g: 1, a: 6, w: 8}. What is prob of sequence awaa?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1236)\/(-6695))\/(6\/(-10))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*h - 5010 = -850*h for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -19*d + 215. Let v be j(11). Suppose -v*l = -12*l - 23940. Round l to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1584) + 2 + sqrt(1584) - sqrt(1584))**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 15980574?\nAnswer: 15980573.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.9 + -22. Let d be 14\/(-21)*(-3 - 0). Put d, a, 5 in increasing order.\nAnswer: a, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:59 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2103278 and 14717.\nAnswer: 2117995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1610 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y + 11*y + 3*y + 8*y + 7*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-1) - (11 - 13). Let g(i) = -i**2 - 5*i - 6. Determine g(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -40573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47518034 to the power of 1\/2, to the nearest integer?\nAnswer: 6893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (0 - -3 - 3). Let y(x) = -4*x - 9. Calculate the remainder when 57 is divided by y(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.83 - 7. Let w = z - -0.129. Let q = w - 0.047. What is q rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010101 (base 2) to base 14\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2621 - ((-10)\/55 - -20*90\/(-264)). What is the highest common factor of 36 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2, -0.02, 5, 0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + a - 4*q + 48, 0 = 4*a + 2*q - 52. Let s be a\/6*36\/(-4). Let b = 40 + s. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -5, 1\/27, 0.07, -3 in ascending order.\nAnswer: -5, -3, 0.01, 1\/27, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 3\/5 (c) -0.5 (d) -495 (e) -4 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 933, 955, 977?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (-31 - 8)) + (-12 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + r - 2. Let s be (-7 - 1)*1\/(-1). Suppose -3*l + s = -7*l. Is 8 a factor of z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/3 + 5*t. Let m(g) = -2*g. Calculate z(m(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 56*y**3 + 5*y**3 + 0*y**2.\nAnswer: -51*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/9 and -115\/413766?\nAnswer: 413766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -457*u**2. Let o(a) = -483437*a + 2. Determine o(q(z)).\nAnswer: 220930709*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziinzlniiiiicizilizz. Give prob of sequence znnl.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 4*x + x + (0 - 3 + 2)*(-4*x + 2*x + 0*x) + x + 1 - 1 + 3*x - 3*x - x + 5*x + 0*x - 3*x)*(1 - 1 - 2 + (1 - 2 + 0)*(-3 + 3 + 2)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93198617 divided by -41.\nAnswer: 2273137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2183.976914 to the nearest integer.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6250261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -7*y**3\/6 - 69*y**2\/2 - 3*y - 2. What is the smallest common multiple of d(-12) and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 4. Let a(y) = 3*y + 5. Let l(d) = 3*a(d) + 4*u(d). What is l(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eehsmmhohqsosmso. Give prob of sequence sqhm.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**3 + 5*a**2 - 8*a - 12 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 12:31 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4924 (base 10) to base 11\nAnswer: 3777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -37*o + 224. Let t be p(8). Does 88 divide (-1)\/(-9) - 76456\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 241*t**6\/40 + 79*t**5\/10 - 106*t**2 - 2. Find the third derivative of m(s) wrt s.\nAnswer: 4338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2864872 (base 9) to base 8.\nAnswer: 6012435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x - 1. Let y(i) = 0*i + i**2 + 0*i**2 + i + 2*i**2 + 2. Let n(g) = -2*w(g) - y(g). Determine z so that n(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-6)\/(-25) + 11\/11. Let f(d) be the third derivative of -y*d**6 + 16*d**2 + 0 - d**4 + 0*d - 23\/75*d**5 - 5\/3*d**3 - 1\/525*d**7. Factor f(z).\nAnswer: -2*(z + 1)**2*(z + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(66)*-2 - sqrt(66) - 1*-1*sqrt(66))\/((sqrt(6) - (sqrt(6) + sqrt(48)\/sqrt(200))) + (sqrt(36) - (sqrt(36) + sqrt(144)\/sqrt(4)))\/sqrt(6))*6.\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from beydeuduededeueebd. What is prob of picking 2 u, 1 y, and 1 d?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*r**3 + 32\/3 - 16*r + 6*r**2.\nAnswer: -2*(r - 4)**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18253?\nAnswer: 18253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (270\/(-4))\/(-15).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:04 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*(-2*sqrt(102))\/sqrt(6) + -3 + -1 + sqrt(612)) + 0)**2.\nAnswer: -720*sqrt(17) + 15444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/98 and -9\/7.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -87, -3, 4, -4 in ascending order.\nAnswer: -87, -4, -3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 637 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + y + 54 = 5*y, -47 = 5*f + 3*y. Let n be 8\/f*40\/(-16). What is the remainder when 25 is divided by -1*(1 - n) - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*j - 6 = -0*q, -3*q - j + 8 = 0. Solve 2*w - w = 5*s, 3 = -q*s + w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-3 + -2 + 15 + 13 + -21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f**2*i**3 + 38*f**2*i - 4*f**2 + 1011*f*i**3 + 2*f*i**2 - 118*i wrt f.\nAnswer: 18*i**3 + 76*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17701617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27951, -27934, -27885, -27792, -27643, -27426, -27129?\n\"Answer: 2*q**3 + 4*q**2 - 9*q - 27948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (8 + 0 + 0 - 29).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 16) to base 6.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -43*y + 283. Let q be w(4). What is the greatest common divisor of 222 and q?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-4))\/(-12))\/3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 7. Let v = -36 - j. Which is greater: v or -16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 3652?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21406?\nAnswer: 2, 7, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 52*b**2 - 5*b - 2. Let o(t) = -78*t**2 + 8*t + 3. Let q(w) = 8*d(w) + 5*o(w). What is the units digit of q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-170)\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -63*u + 19. What is the thousands digit of x(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z - 1. Let g be u(1). Let w = g + 7. Let c = 15 - w. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 18*o**2 + 2*o + 1. Let c be d(-1). Suppose -5*b = 4*v - c, -v - 1 = -5*b + b. Suppose v*s - 22 = 14. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2931*l**5 - 2*l**4 - 44*l**2 + 39*l.\nAnswer: -175860*l**2 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 6, k: 5, z: 5}. What is prob of picking 1 v and 1 z?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786804 is divided by 261810.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430536 (base 7) in base 5?\nAnswer: 22123402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (49\/21)\/(2\/498) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320258, -320249, -320232, -320207, -320174, -320133, -320084?\nAnswer: -320027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550292849.\nAnswer: 550292849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/2, 5, 14, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -152*k. Let g(q) = -252775*q. Give g(d(l)).\nAnswer: 38421800*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = u, 4*r + 3*u - 66 = 0. Let k = 33 - r. Suppose 5*w - 5*y = -15, 5*y - 29 + 6 = w. What is the smallest common multiple of w and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 14*p - 30. Suppose 0 = -p*r, -2*r - 9 = -3*k - 7*r. What is the highest common divisor of 84 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*p - 13. Let h = 2888 - 5775\/2. Sort -0.06, p, h, 3 in increasing order.\nAnswer: -0.06, h, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m**2 - 7*m**2 + 4*m**3 + 3*m**3 - 4*m**3 + 3*m**3 + 4*m**3 + 0*m**3 - 2*m**3 + (0*m**3 - m**3 + 0*m**3)*(2 + 1 - 5) - 2*m**3 + 1 - 2 + 0*m**3.\nAnswer: 8*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*q - 1188 = 0, 4*w - 3*q + 1196 = -5*q. Let f = 684 + w. What are the prime factors of f?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 1)*(-4)\/8. Let r(o) = 1. Let c(y) be the first derivative of 2*y**2 + y + 15. What is n*c(p) - 2*r(p)?\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, h: 1, u: 3, d: 6}. Give prob of picking 1 d and 1 u.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 40?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**10*((c**0\/c)\/c)\/c**9*c**(-1)\/c**(-1\/3)*c**(5\/4)*(c*c*c\/((c*(c\/(c\/((c*(c*c**(4\/3)*c*c)\/c)\/c)))\/c)\/c))\/c*c assuming c is positive.\nAnswer: c**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3047755, -6095527, -9143299, -12191071, -15238843?\nAnswer: -18286615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 1, w: 1, d: 4, g: 2}. Give prob of sequence wgs.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 4*i**2 + 7*i**2)*(2*i - 3 - 2*i**2 + 3 + 3).\nAnswer: -18*i**4 + 18*i**3 + 27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - 2.01. What is the closest to 1 in 2, -1, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)\/sqrt(2))\/(sqrt(66)\/(sqrt(11)*-2)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 20*x - 94. Let y(z) = -12*z + 3. Determine d(y(k)).\nAnswer: -240*k - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -7 in ascending order.\nAnswer: -7, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6632, -13279, -19942, -26621, -33316, -40027, -46754?\n\"Answer: -8*z**2 - 6623*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-406)\/140)\/((-20)\/(-200)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 5*c**4\/12 - 25*c**3\/2 + 90*c**2 - 4877*c. Find o, given that x(o) = 0.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*t = t + 14, -78 = 5*b - 3*t. Let q = 23 + b. List the prime factors of q*3\/6*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4017 - 6a?\nAnswer: 3a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)\/(d**17\/d)*(d**18\/d*d)**(18\/5) assuming d is positive.\nAnswer: d**(219\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 0*k + 1 - 5\/2*k**2. Calculate g(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -4151*p + 4154*p - 5*i + 3*i, -2*i - 6 = -p + 1 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - 156. Let w = b - -73.1. Let v = -4 - w. What is the closest to -1 in -5, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 6. Let h be l(3). Let z = 30 - 31. Let f(o) = -o + 1. Let g(c) = 1. What is h*g(s) + z*f(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2\/9 - 24121*k\/9 - 359790 = 0.\nAnswer: -23986, -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 885.3*4\nAnswer: 3541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-429)*-11*3\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 93 - 75. Calculate the lowest common multiple of 250 and c.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/8383 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 50. Calculate k(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -5 (c) 11 (d) 30 (e) 0.266\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5 - t**3 - t**3 - 2*t + 0*t**2 + 3*t**3 - 4*t**2. Let u be f(5). Solve u = 4*r + r - z, -14 = -3*r - z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 + 48*u**3 - 11446*u**2 - 426756*u + 898880 = 0. What is u?\nAnswer: -53, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14620?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 155? (a) -2 (b) 2\/3 (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 21*z**2 - 6*z - 9. Let k(t) = t + 9. Let g be k(-12). Does 24 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, j: 1, m: 10, d: 5}. Give prob of picking 2 d and 1 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1614*k**2 - 37*k**4 - 57*k**5 - 2421*k**3 + 1087*k**2 + 4846*k**3 - 2423*k**3 wrt k?\nAnswer: -3420*k**2 - 888*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 41 = -x, 2*s + 2*x - 6*x = 38. Solve -3*m = -5*m - 2*y, -2*y - s = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 3, y: 7, h: 8}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24300 - 22311?\nAnswer: -102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106 - 36517?\nAnswer: -36625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j - 184. Let n = -15 + j. Suppose 32*k = n*k + 164. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 - 798*t**4 + 20030*t**3 + 21630*t**2 - 20032*t - 20832 = 0. What is t?\nAnswer: -1, 1, 28, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 25*c**2 - 26*c + 23. Let a be h(24). Let m = a - -53. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 23. Suppose 3*t + 12 = u, 5 + 4 = -3*t. Suppose -u*w + y + 2 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131352 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121)*-2*-3 - (sqrt(121) + 2*(sqrt(121) + -4*sqrt(121))))\/(sqrt(396) + (4*sqrt(396) - sqrt(396)) + (sqrt(1331) - sqrt(1331)*-1)).\nAnswer: 6*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5575*h. Let m(t) = 2*t - 82. What is m(u(f))?\nAnswer: 11150*f - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/21393?\nAnswer: -5\/21393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p - 21 + 86 - 27 - 26 to v*p + h and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-80)\/((-12)\/(-28)*(-6)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-6*(sqrt(2) + 3) - sqrt(2)) + sqrt(2)*-2 + -3 - (sqrt(2) + -4 + sqrt(4)\/sqrt(2) + sqrt(2) + sqrt(12)\/(sqrt(30)\/sqrt(5))))**2.\nAnswer: 442*sqrt(2) + 631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 6, k: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1440 + -3?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.4 take away 0.1?\nAnswer: -262.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 6224.\nAnswer: 43568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 182*u**2 - 632*u + 5568.\nAnswer: -2*(u - 4)*(u + 8)*(u + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.16 - 0.16. What is the biggest value in 1\/4, 0.7, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, -26, -55, -94, -143?\n\"Answer: -5*t**2 - 4*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.3 at most as big as 1\/1336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.06835 hours?\nAnswer: 21846.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352130 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 341879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -816 - -820. Solve -35 + 15 = r*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16487470147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -4*o. Suppose 0*p = 4*i + 4*p + 12, 9 = 2*i - p. Suppose i*u + c + 198 = 5*u, 132 = 2*u - o*c. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 135, 286, 497, 768, 1099, 1490?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/108*36\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 226*n**4 - 108 - 62 - 178*n**4 wrt n.\nAnswer: 192*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**3 - 44*p**2 - 153*p + 20. Does 14 divide z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -8. Calculate the remainder when 4 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 24*t**2 + 3*t**2)*(2*t + 4*t - 5*t + (0 - 6 + 4)*(-t + 0*t + 0*t)).\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 at most as big as -0.031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = 5*o + 4*i, 12 = 2*o - 2*i. Suppose 2*l + o = 5*l. What is the tens digit of (2\/8)\/(l\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 40, 67, 98, 133?\n\"Answer: 2*p**2 + 17*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-8\/3))**35)**(-12))**(-44) assuming x is positive.\nAnswer: x**(-49280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-524)\/(-10) + 2\/(-5). Let p(x) = -137*x - 5 + 47*x + 55*x + 2*x**2. Let h be p(18). What is the highest common divisor of s and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + d - d)*(2*d**2 - 26*d**2 + 5*d**2) - 4*d**3 - 5*d**3 + 2*d**3 to the form s*d**2 + a + g*d**3 + y*d and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(704) - (sqrt(704) + 0)) - (-4 + (sqrt(11) - sqrt(891))))*-5)**2.\nAnswer: 1800*sqrt(11) + 22675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5 - (-70)\/15)\/(11\/(-24)) and 44\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**5 - 3810189*o**3*w**3 - 5*o**2*w**3 - 3*o**2 - o + 15*w + 23082 wrt o?\nAnswer: 180*o**2 - 22861134*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*y**2 + 2*k*y + 2*k + 264907*y**2 + 7*y - 101 wrt y.\nAnswer: 4*k + 529814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 0.1 (c) 122\/5 (d) 3 (e) -0.4 (f) -1728\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 1:06 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 23 - 1)*(8 - 8 - 8*u + (-3 - 1 + 5)*(-3*u + 7*u + 0*u)).\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 11:16 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 12928*b - 8 = -12929*b, 5*p + 5*b + 50 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -654, -1408, -2462, -3816?\nAnswer: -5470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 36?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -3.89\nAnswer: 7.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 - 1. Let z(l) be the second derivative of l**4\/3 + l**2\/2 + 3*l - 25. Let d be 5\/(-2 - (-3 - -2)). Calculate d*t(k) - 4*z(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x + 32 = 0. Let v = -10 - x. Put 2, v, -3 in ascending order.\nAnswer: -3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 1260046.\nAnswer: -153\/1260046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-8\/5)*g**(3\/4)*g**(-5)\/g*g*g*g**(-1\/2) assuming g is positive.\nAnswer: g**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4925758*q**3 - 4925769*q**3 + 5.\nAnswer: -11*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72843 + 108721. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1641.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 - 1018*o + 12184\/3.\nAnswer: 2*(o - 1523)*(o - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwcbbbywcbybybb. What is prob of sequence cwwc?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.51585 to 2 dps.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356.48 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = 3*g, 5*x + 3*g - 28 + 13 = 0. Sort -2\/9, x, -2\/3.\nAnswer: -2\/3, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 881 = -481 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*f = -2*f + 32, -3*f = -2*j + 16. Let q(a) = 3 - 2*a + 2*a + 2*a. What is the remainder when q(6) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*sqrt(204)*-1)\/sqrt(12))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17917\/985 - 118879987\/13790. Suppose -n = 4*n - 43175. Let d = n + z. Calculate the common denominator of d and -67\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 949.9 - 950.9. Which is the closest to -2? (a) 2\/51 (b) 3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3080096 and 43\/72.\nAnswer: 27720864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 14. Solve -3*i + 2 = -s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 7*s**2 + 8*s + 24*s - 5*s**2 + 30 = 0?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiij when four letters picked without replacement from jjijijjiiijji.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 478 - 495. What is the nearest to -1 in 3\/7, b, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -29*a**3 - 4*a - 4. Let x = 4554 - 4293. Let z(t) = 1885*t**3 + 261*t + 261. Calculate x*d(f) + 4*z(f).\nAnswer: -29*f**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -24*i + 100. Give a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 15998, -1 in ascending order.\nAnswer: -1, 37, 15998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/10014 and -67\/42.\nAnswer: 70098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 169504?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/34 and 35\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33 * -496.5.\nAnswer: -163.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*c + 50*c - 54 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -20*o. Let c(j) = -858*j**2 - 4*j + 16. Calculate q(c(f)).\nAnswer: 17160*f**2 + 80*f - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 220 - -3416406?\nAnswer: 3416626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 9. Suppose -4*a = 12, 2*p - 7 + 3 = -2*a. Let q(d) = -d - 5. What is p*q(o) + 3*y(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 9854*y + 46 = 9859*y, 3*y - 30 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -4 + 5 + sqrt(2299) + (sqrt(2299) + sqrt(2299) + sqrt(2299)*2 + sqrt(2299) + 1 - sqrt(2299)) + 3)**2.\nAnswer: -287695 - 4400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39012 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151.18 - 151. Which is smaller: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -8 + 5 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53255.\nAnswer: 5, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - 2*v)*(1 - 3 + 3)*(-31 - 24 - 9).\nAnswer: -64*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 7*p**5\/10 - 255*p**2\/2 + 73*p. What is the first derivative of q(l) wrt l?\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/20*(-8)\/(-4)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16971477 and 5859?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/176877 and -5\/18.\nAnswer: 353754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7*(o*o**(-21\/2))\/o*o**(-11)\/o**(-4\/17) assuming o is positive.\nAnswer: o**(-485\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -494, -500, -516, -548, -602?\n\"Answer: -j**3 + j**2 - 2*j - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 210.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 791125 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f + 48*f - 3 - 3*f + 59*f. Is a(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*n + 53 - 29, -5*n - 2*u = -21. Let d(t) = -t**3 + 6*t**2 - 4*t + 1. Give d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380 + 1212 = -432*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.234 + 143.234. Let d = 143.67 - f. Let r = 0.33 + d. Sort r, 2, 0.2 in decreasing order.\nAnswer: 2, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18511, 37020, 55529, 74038?\nAnswer: 92547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14378931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223482650?\nAnswer: 2, 5, 47, 61, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3918, -3917, -3916, -3915?\n\"Answer: x - 3919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 193*x**2 - 328*x - 3281. Is s(-10) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30086?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-50150)\/(-26) - 4\/(-26). Suppose 0 = 4*a + t + 623. Let z = -242 - a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 45, 79, 129, 201, 301, 435, 609?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -24*i**3 - 4*i**2 + 3*i + 6. Calculate the remainder when y(-2) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*k = -4, -2*x - 2*k + 7*k = 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 4*b**2 + 3*b + 2. Let t be g(5). Let h(q) = q**2 + 9*q - 9. Let a be h(t). Let u = -10 - a. Calculate the remainder when 20 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(405) + 2.\nAnswer: 2 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-509*q - 433 + 433)*(-1 + 2 + 0).\nAnswer: -509*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10511368 - 55553?\nAnswer: -10566921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -308823 divided by 4?\nAnswer: -308823\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 5. Let v be ((-4)\/5)\/(1\/t). Suppose -4*m = -10 + 2. Solve 3 - 7 = -r - a, -m*r + 4*a - v = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(175) - sqrt(175)*-2) + sqrt(175)) + (sqrt(120) + -1*sqrt(120))\/sqrt(10) - ((-3*2*sqrt(432)*-1)**2 + -3).\nAnswer: -15549 + sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, g: 4, h: 2}. What is prob of picking 1 g, 1 k, and 2 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -213*o + 6. Let a(j) = -1070*j + 32. What is 2*a(l) - 11*r(l)?\nAnswer: 203*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - j**2 + 2. Let i be 3 + 0\/(-3) + -1. Let q be b(i). Let v be (-8)\/66 + 4\/q. Is v greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933362 is divided by 466614.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 1, i: 2}. Give prob of picking 1 f and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nvvnnvnnnv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/25 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1046 by 4.\nAnswer: -523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**5 + 3*l**2 - 2*l + 3. Let j(y) = y**5 + y**2 + y + 1. Let w(d) = c(d) - 3*j(d). Find the second derivative of w(r) wrt r.\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 39*g + 17. Suppose 0 = -y - 7 + 10. What is the hundreds digit of r(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 + -77. Let p be -7 + 0 - (u\/(-7) + -4). Sort 4, 5, p, 3 in ascending order.\nAnswer: p, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from spwppwktwwkxwtwwk.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 52.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -13. What is the third smallest value in 0, v, -1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9011.\nAnswer: 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*d + 18*d + 11*d)*(2 + 1 - 4)*(-2*d**3 - 6*d**3 + 2*d**3) in the form z + p*d + t*d**3 + w*d**2 + o*d**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhshsghhhhuuh. What is prob of picking 1 h, 2 u, and 1 s?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 113, 269, 487?\n\"Answer: 31*k**2 + k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 24 = 5*l. Suppose -9 = -l*o + 7. Suppose b + o*b - 21 = 0. Solve b = 3*g - k - k, -5*g + 5*k + 10 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35686 - -35342.47. Let h = -306.4 - c. Let f = h + -37. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by 3?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z + 22. Let n be c(-13). Let i = n - 67. Calculate the highest common divisor of 413 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + (-266)\/(-190)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119682392.\nAnswer: 2, 641, 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45278291 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 5*x + 15. What is l(13)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + k + 3. Let n(q) = q**2 + q. Let u(z) = f(z) + 3*n(z). Let p be u(-3). Suppose p*b = -b + 27. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101300 + 99201.93. Let d = 2132 + x. Let r = d + -34. What is r rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22288 by -3.\nAnswer: -22288\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162006960 by -5.\nAnswer: -32401392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + l = 6, 3*r + 3 - 13 = 4*l. Let j be (r\/(-3))\/(4\/30). Suppose -4*u + v = -51, -35 = -j*u - 3*v + 16. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 - 0 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = l - 38, 2*k = -2*l + 48. Suppose 3*n + 2*z + 23 = 0, 5*z = 6 - l. Let f = -15 - -11. Which is the biggest value? (a) -1\/4 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309 + 285. Are t and -29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*c - 114*c + 203*c.\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 15 = -3*k. Suppose k*b = 6*b. Suppose b = -0*r + r - 17. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -303 + 3335\/11. Let w(o) = -o**2 + o + 13. Let j be w(4). Which is the closest to j? (a) 5 (b) y (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28142395 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 8) + (1 - (-34 - -4)). Suppose -217*z = -224*z - w. Which is the third smallest value? (a) 52 (b) 2\/7 (c) z (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705.2199 millennia to centuries.\nAnswer: 7052.199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 7:38 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 9*d**2 + 73*d + 34. Let z be w(-14). Let y(i) = -i**2 + 5*i - 4. Let m be y(3). List the prime factors of (-2695)\/(-20) - m\/z - 3.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*d**3 - 6118*d**2 - 99*d - 333089406 with respect to d.\nAnswer: 87*d**2 - 12236*d - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x + 5401. Is h(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, r: 3, a: 11}. What is prob of picking 1 h and 2 a?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -7085 + 7087 - 21*b**3 - 2*b**2 - 3*b**3 in the form f*b**3 + v + o*b**2 + d*b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 + l**2 + (2*l + 2*l - 2*l)*(2*l + 0 + 0))*(-3*l - l + 2*l + (-l - l + 3*l)*(-1 + 2 - 3) - 31*l - 23*l - 110*l).\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/319982007 and 103\/32166?\nAnswer: 1919892042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 14 = 11. Suppose 2*x + p = -13. Suppose 4*t + 5*z - 8*z - 16 = 0, -24 = 3*z. Put t, 1, x in descending order.\nAnswer: 1, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10*z**2 - 2*z + 6. Let l(j) = -j**2 + 1. Suppose 4*c + 2 = 9*q - 10*q, 4*q - 6 = -2*c. Give c*i(k) + 5*l(k).\nAnswer: 5*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.6382 - -5.728178. Let m = v + -0.09. Round m to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11176, 11177, 11180, 11185, 11192, 11201, 11212?\n\"Answer: f**2 - 2*f + 11177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1831, 3664, 5493, 7318, 9139, 10956, 12769?\n\"Answer: -2*q**2 + 1839*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27906.26 and 9.\nAnswer: 27915.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -602479 + 6?\nAnswer: -602473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -17 - -11) + -15 + 17 + 10\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/50*(-2163)\/(-103).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d - 1. Let s(u) = -u. Let g(i) = o(i) + 6*s(i). Let w be g(1). Solve y + w = 3, 4*v = 2*y + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/93, 5, 1\/22, -0.1 in descending order.\nAnswer: 5, 1\/22, -2\/93, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 219, 503, 903?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 20*k + 34. What is the units digit of p(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:16 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -13*s**7\/945 + 7*s**6\/180 + 67*s**5\/270 - 7*s**4\/36 - 2*s**3 - 15*s**2 + 37. Find h such that b(h) = 0.\nAnswer: -18\/13, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 3957 + 5045 = 0. Let q = 1259\/2 - p. Calculate the common denominator of (-279)\/(-12) + 0 + -1 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2381 greater than or equal to -16673\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1866 times -2.1\nAnswer: 3918.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 5*g**2 + 5*g + 2. Let i(s) = 4*s - 2*s + 0*s - s**2 - 3*s. Let n(d) = 14*i(d) + 2*u(d). Factor n(p).\nAnswer: 4*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6145 * 7484.\nAnswer: -12082.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64\/5 in -0.5, 18, 2\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 4)*(13*h**2 - 60 + 60 - 68*h**2).\nAnswer: -330*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01193535 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.074 (b) -2\/7 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:19 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 19 + 13 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {o: 1, p: 1, z: 2, t: 2, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122397 to the power of 1\/2, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -2.1. Let l = -20 + 19.9. What is the closest to l in h, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12202012 (base 3) to base 15.\nAnswer: -1395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-65)*191\/382?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 1, 8, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.5 + 18. Suppose -6*s + 3*s = 6. Let w = s - -1. What is the closest to 0 in u, 2\/3, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 55*n - 1. Let b(j) = 500*j + 497*j - 993*j. Calculate b(t(o)).\nAnswer: 220*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -630351*l**2 - 6*l**3 + 1260586*l**2 - 630235*l**2.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*w - 51200004 = 3*o, -3*o - 38400010 = -5*w. Round o to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38\/13 + -855\/208. Calculate the common denominator of 27 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -6) + (-2 - -2 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*j**2 + 3 - j**2 - 4 in the form o*j + h + p*j**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*1 + ((sqrt(280)*-2)\/sqrt(7) - sqrt(40)))\/((sqrt(264)\/sqrt(11)*-1)\/sqrt(3)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 5381*q + 200605. What is f(37)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 0.35 (c) -6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 6*z**2 - 16*z + 3. Let w be a(8). Suppose 4*f - 1482 = -3*r, 13*f - 16*f + 1113 = w*r. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221754259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 = -w, 3*w - 8*w + b = -125. Let y be (-31 + w)*2\/(-10). Solve -3*g - h - y = 14, 5*h = -4*g - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -640 + 1216. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 10:18 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(((-24)\/(-32))\/(3\/8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*j + 16. Suppose 0 = -2*r - 22 + j. Let l = 12 + r. What is the greatest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1455*u + 1. Let f(k) = 978*k + 1. What is -7*f(y) + 5*m(y)?\nAnswer: 429*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 6*g + 3. Calculate m(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**4 - 148*u**3 + 160*u**2 + 304*u = 0.\nAnswer: -38, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 163?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 6*o**2 - o - 6. Let x = -2 - 4. Let m be f(x). What is the second derivative of -2*b**2 + b**2 + m*b + b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.3 - 3.2. Which is the smallest value? (a) -1 (b) 2\/7 (c) -4 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91656 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -257461?\nAnswer: 51492.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40845.32 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0 (c) 5\/2 (d) -30641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 = -2*v, -2*v = -0*v + 8. Sort 1, 4, 22, m in descending order.\nAnswer: 22, 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 153733586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88970 and 21.\nAnswer: 266910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (686990\/(-2886))\/5*(-39)\/(-13). Let o = f - -1862\/13. Calculate the common denominator of -73\/10 and o.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - r = -160, -8*q - 1506 = 3*r - 237. Sort 1\/2, q, -2, -5 in descending order.\nAnswer: 1\/2, -2, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/14)\/(6\/(3\/1)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 482 - -c?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*(-13 - 28*(-40)\/80).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k - 1326 = -25*k + 53*k for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30142, 60278, 90414?\n\"Answer: 30136*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -966.5*-0.16\nAnswer: 154.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*b = 19, -4*f - 3*b + 8*b - 33 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 157*f - 19. Let r be t(-1). Is -176 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*o + 21*o = -53*o + 8668 + 5732 for o.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*x**2\/11 + 2*x - 8\/11.\nAnswer: 2*(x + 1)*(15*x - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83785662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -654, -997, -1358, -1743, -2158, -2609, -3102?\nAnswer: -3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000047596 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + (-2)\/6 + (-702)\/(-81). Which is the smallest value? (a) o (b) -4\/7 (c) -5\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6574892 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179ba22 (base 15) to base 3.\nAnswer: -1012100220201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + -1.9. What is the smallest value in -0.7, 0.5, j, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {i: 2, a: 9, l: 4, g: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (0 + -2)) + 6 + 16 + -34?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -252198914 bigger than -252198913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13.8 and -994518.\nAnswer: -994531.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2605, -6318, -10031?\n\"Answer: -3713*n + 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21733869281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 2, k: 1, j: 6, l: 3, r: 2}. Give prob of sequence kj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5751 to the nearest 100.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, i: 2}. Give prob of picking 3 r and 1 i.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7488\/4464*527\/34.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24867913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*n = 594*n - 2736 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58747*f*h**3*t + 19*f*h**3 - 81*h**3*t + 2*h**3 - 258*h + 3*t wrt f.\nAnswer: -58747*h**3*t + 19*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*r = -32299, -3*f - 3*r + 32435 = 143. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1466*u + 7240*u - 1421*u - 1404*u - 1329*u - 1370*u.\nAnswer: 250*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 36 + -3 + -11 + -13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3690, -10170, -20970, -36090?\n\"Answer: -2160*q**2 - 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -172292, -172292, -172290, -172286, -172280, -172272?\n\"Answer: l**2 - 3*l - 172290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 - 2*u + 15. Give o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m*m\/(m*m*m**(-2\/19)))\/(((m*m\/m**(2\/9))\/m)\/m)**(1\/8) assuming m is positive.\nAnswer: m**(775\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2410?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, -4\/9, -1\/9, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 11:20 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51.26 + 1.64. Let u = p - 52.89997808. Round u to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 1091845.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4\/11, 2\/3, -5, 0.2 in ascending order.\nAnswer: -5, 0, 0.2, 4\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = q - 15, 3*q + 5 = 2*u. Suppose -3*o + 5*c - 30 = -u*o, -o + 5*c + 50 = 0. Calculate the highest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 n when three letters picked without replacement from {i: 3, h: 3, f: 3, o: 2, n: 1, c: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 11 + 9)*(p**5 + 2*p**5 - 2*p**5) + 3*p**5 - 3*p**5 - p**5 - 2*p**5 + 2*p**5 - 3*p**5.\nAnswer: -17*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*z - 67, -4 - 2 = -2*z. Let q(i) = 8*i. Let p be q(-1). Let j = n + p. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -2, -37, -108, -227, -406, -657?\nAnswer: -992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 10 + 26. Calculate the least common multiple of i and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1151? (a) 2 (b) 1.01 (c) 0.2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 148140 - 2*d - 148140 - 1195*d**2 in the form m*d**2 + v + a*d and give m.\nAnswer: -1195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*w**3 + 3316208*w**2 - 3316208*w**2.\nAnswer: 525*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -35*i. Let y(b) be the first derivative of -5*b**2\/2 - 36. Calculate y(k(l)).\nAnswer: 175*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p - 5. Let g be o(6). Let b(y) = y**2 - 7*y - 17. Let t be b(14). Suppose -2*q = -t - g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 8*z**2 + 6*z - 5. Let l be c(-7). Let v(f) = -f**2 + 4. Let u(b) = -5*b**2 + b**2 + 13 + 2*b - 3*b. Determine l*u(y) - 7*v(y).\nAnswer: -y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-32)*(-1)\/(-6)*416\/1196.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1115*o - 5 + 8 - 3.\nAnswer: 1115*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 2825730*y**2 - 5651452*y.\nAnswer: -2*y*(y + 2)*(y + 1412863)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1340448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*1*(-1)\/(-2). Suppose x = -b + 3*b. Let c(y) = y**2 + y + 6. Give c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -40, 2\/13, 0, -1.3, -15\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1054912092 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*f**4 + 15*f**3 - 42*f**2 - 60*f + 24.\nAnswer: 3*(f - 2)*(f + 2)**2*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1104643036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 16 = 2*z. Let x(p) = -2*p + z*p - 6*p - 2*p. Let u(a) = -a. Determine u(x(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 + 209\/44. Is a greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*m - 57560, l = -15*m + 18*m + 28771. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 + 3 - 217\/(-7). What is the derivative of x - 16*m - m + 0*m - 54*m wrt m?\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 252, 29 in descending order.\nAnswer: 252, 29, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/10)\/(q**(-5)*q))\/(q*(((q**(-3\/7)\/q*q)\/q)\/q)\/q*q*q**3*q))**(-44))**25 assuming q is positive.\nAnswer: q**(-8690\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z + 60746 = 436680 + 15200. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1914 and 118668?\nAnswer: 118668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 26*n + 60. Let z be d(24). Let t(i) = 292 - 292 - z*i**2 - 10*i**2. Let a(u) = -u. Give a(t(q)).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 755*k**2 - 11 - 3 - 745*k**2. Let g(m) = m**2 - 1. Calculate -28*g(z) + 2*v(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:05 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1012\/(-528) + (1 + (-15)\/4 - -4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = 23811 - 23604 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 179 - 74 = 0. Let r = d + 137. Calculate the greatest common divisor of 32 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -2 - -2) + 0. Suppose -4*k = -c - 2*k + s, -4*c = 2*k - 24. What is the first derivative of -2*u**3 + 3 + 4*u**3 - c + 4 wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s + 3. Let z be y(3). Let m = z - -5. What are the prime factors of (0 + 0)\/3 - m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/9)\/(1\/(-9)). Suppose -4*v = v + 4*l - 17, c = 3*v + l. Is v less than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17908, -34908, -51872, -68782, -85620, -102368, -119008?\nAnswer: -135522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 11*l - 2. Let o(j) = 32*j - 5. Let a(w) = -3*o(w) + 8*z(w). Let k be ((-1)\/2)\/(1\/2). Let h be a(k). Solve -t = -3 + h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513 (base 6) to base 14\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/96*-4)\/(-4)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/80*10)\/((-19)\/380)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -35, -1, -19 in increasing order.\nAnswer: -35, -19, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 844 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 15. Let k be (-1 - (-12)\/15)\/((-357)\/210). Which is the closest to 2? (a) t (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -11*s - 12. Let w(g) = -g**3 - 5*g**2 - 6*g - 7. Calculate the remainder when w(-5) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let t be m(-3). Let o = 42 - 36. Solve -3 - o = -t*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((1*sqrt(550) - sqrt(550)) + sqrt(550))*5)\/sqrt(11))\/(6*(sqrt(1210) - (sqrt(1210) - -2*sqrt(1210)))).\nAnswer: -5*sqrt(5)\/132 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1032 and 0.15.\nAnswer: 0.01548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40515 is divided by 94.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n**2 - 2*n. Suppose 3*b + f = 0, b - 8 = 3*f + 2. Let d be p(b). List the prime factors of ((-2*1)\/(-1))\/(d\/80).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let i(u) = -127*u**2. Give l(i(c)).\nAnswer: 32258*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*q + 32 = 0, 6*z - 38 = z + 3*q. Let d be ((3\/(-15))\/(4\/z))\/(-1). Let h = -3\/28 - 13\/140. What is the second smallest value in d, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 4*j + 7*j)*(28 + 25 - 6) to the form t*j + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 + 3*m + 7. Suppose -2*u - 2*b + 24 = 0, -19 = 3*u + 5*b - 63. Is g(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 18*c + 7 + (6*c - 2*c - 3*c)*(-2 + 3 + 0))*(-2*c - c + c).\nAnswer: -38*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/8 and 107\/23894.\nAnswer: 95576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 1509460 = -534331. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*b - 330*b = 1507090 - 149098. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in -2\/3, 0.5, -13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*y + 5*y + 8, 2*d + 4*y = 0. Is 6 a factor of (d\/24)\/((-1)\/93)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeo when three letters picked without replacement from ooefoqqqeqroqeq.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6)*-1)\/((-3)\/(-9)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(1 - (-2 - -1)). Suppose 3*u = -3*f - 6, 3*f = 4*f - 5*u + a. Let g = -52 - -207\/4. Is f at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2. Let q(w) = 1928318*w**2. What is q(b(k))?\nAnswer: 7713272*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602532297?\nAnswer: 3, 43, 193, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 - 6*c**2 + c + 5. Let y(l) = 1 - l**3 + 0*l**2 + l**2 - 2*l**2. Determine x(m) - 5*y(m).\nAnswer: m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 44.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 3:15 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 3*k - 2. Let p(q) = -2*q**2 + 5*q - 3. Suppose -7*i + 12 = -3*i. Suppose 0 = f + 9 - i. Give f*p(j) + 10*m(j).\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 12 - 5 + 8 + d. Let j be v(-11). Suppose 37 = -5*i + 3*x - 0*x, -5*x = -4*i - 40. Sort j, 0.5, i in descending order.\nAnswer: j, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1, -2\/71.\nAnswer: -2\/71, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1162 - 1158 = -16*v. What is the tens digit of -26*(v\/(-10) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 181 + -913. Let g = p + 731.998947. Round g to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -5)\/(-18)*4. Which is the closest to -4? (a) -2\/7 (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/4*2\/(-2 + 0). What is the units digit of s\/(75\/36)*(-55)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001371466413 rounded to six decimal places?\nAnswer: -0.001371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58698 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8 = 5*f - 3*f, 0 = -3*c - 12. Suppose 0 = f*j - 4*j. Is 1\/9 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -271.192 - -271. Let y = -0.492 - h. What is the smallest value in 5, y, 1\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15+207\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 15*k**2 + 9*k + 3. Let r be t(-8). Which is smaller: -334\/7 or r?\nAnswer: -334\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-4)))\/h**(2\/15))\/((h**(-5)\/h)\/(h**(-4\/3)*h)) assuming h is positive.\nAnswer: h**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -74*s + 344. Let r be m(3). What is the highest common factor of r and 2074?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = 48*z - 909. Solve -20*g + z*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 0*p - 4*p + (0 + 3 + 0)*(-p + 2*p - 6*p) - 2*p + 4*p + p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1049, 2\/13 in descending order.\nAnswer: 1049, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*(-80)\/24 + 585\/(-27)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/3 + -19*(-66)\/209?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3.1. Let r = -0.2 - i. Let d = -1.9 - r. Round d to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13221956*g**5 - 4*g**2 - 88387*g - 1 wrt g.\nAnswer: -793317360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1061 or 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, r: 1, k: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y = -227*m + 218*m + 12*y + 12, 3*y - 12 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**3 + 17*u**2 + 20*u + 6. Let y(w) = 3*w**3 - 6*w**2 - 7*w - 2. Let m be -1 - 3 - (-5 - (0 - -5)). What is m*h(a) + 17*y(a)?\nAnswer: 3*a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32308\/205*(1 + 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 187 - -2?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + ((sqrt(1539) - (-2*sqrt(1539) + -4) - sqrt(1539)) + (sqrt(1539) - (sqrt(1539) + 1 + sqrt(1539) + -1)) + sqrt(1539))*1)**2.\nAnswer: -6165 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.443 - -0.463. Let s = t - 0.02. Let b = s + 8. What is the third biggest value in 0.2, b, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/7 - (-444)\/(-28). Let a = 4 - w. Which is greater: a or 19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -160*v**3 + 11*v**2 + 71*v + 188. Is 40 a factor of c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1775600*p**5 - 1612698*p**2.\nAnswer: -106536000*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)\/(t\/t**(1\/5))*(t\/(((t\/(t\/t**(2\/9))*t)\/t)\/t))\/(t\/t**(1\/3))*(t**(2\/3)\/t)**13*t**4*t*t**(2\/7)\/t assuming t is positive.\nAnswer: t**(-1492\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (68 - -2) + -9 + -1 + -611 + 617\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 30*s - 33*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.76 + -0.24. What is the third biggest value in -0.3, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5 - 1154*l**4 - 220994*l**3 - 13970238*l**2 + 15532308*l + 85196016 = 0 for l.\nAnswer: -212, -183, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(441) - (sqrt(441) + sqrt(441) + sqrt(441)*-4))\/(sqrt(108)*-3) + 1)**2.\nAnswer: 7*sqrt(3) + 151\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 435\/76 + 29\/19. Which is greater: 0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*j - 16 = 0, 28 = 3*q + 5*j + 8. Solve 2*v = -2*s - 0*s - 6, -2*s - 5*v - 21 = q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + 1\/(-2)*0. Let z = -67 + 114. Suppose -3 = 4*x - z. Solve -j - x = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 12*v = -3993191. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3741971909 to the nearest integer?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z = -2. Let f = 130.94 - 126. Let b = f + 0.06. What is the closest to -2\/5 in 3\/4, b, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 - -209. Find the third derivative of c - 5*c - 4*c**f + 7*c**2 - 4*c + 4*c wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l + 1838 = 1208 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.2. Let v = 21.3 - 21. Put -0.2, i, v in ascending order.\nAnswer: -0.2, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3055776 - -0.6596. Let q = -0.354 + i. What is q rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1\/12*-1. Let x = -73 - 11. Let y = x + 87. Which is the third smallest value? (a) 9\/4 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k - 560. Let a be o(56). What is the third smallest value in -3\/7, 1.5, a?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5493 + 5703. What is the lowest common multiple of 2352 and c?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00273149104 rounded to 7 decimal places?\nAnswer: -0.0027315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 84*k + 10197. Does 15 divide y(103)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {m: 6, s: 2, u: 6, t: 4}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let c(g) = g - 2. Suppose -49*i = -50*i + 39. Suppose 0 = x + 37 - i. Determine x*l(f) - c(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 7*t + 0 + 0*t**4 + 1\/6*t**3 + 0*t**2 + 1\/4*t**5. What is the second derivative of z(w) wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91\/6? (a) -1\/19 (b) 2\/11 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/18 and -93\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 + 10 - 1073\/87)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 = 2*a + 3*a, -3*a + 3*x = 12. Let r(n) be the third derivative of 4*n**2 + 0*n - 1\/6*n**4 + a + 1\/2*n**3. Differentiate r(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -346*o**2 - 2*o. Let b(t) be the third derivative of 7*t**4\/8 - 1905*t**2 - 2. What is n(b(x))?\nAnswer: -152586*x**2 - 42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 14*d - 1. Let y be l(7). Let h be (y + 33)*((-10)\/(-8))\/1. What is the highest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -5\/2*d**2 - 1\/4*d**4 + 14 - 3*d + 7\/3*d**3. Determine f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*o**2 + 134*o**2 + 95*o**2 + 107*o**2.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**3 + 5*q**2*r**3 + 264*r**3 wrt q?\nAnswer: -9*q**2 + 10*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6457, 6418, 6331, 6178, 5941, 5602, 5143?\nAnswer: 4546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62035 by 1735.\nAnswer: 12407\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 143. Let o be (860\/3)\/((-62)\/(-465)). Suppose z*p - o = 84*p. What is p rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 40*h + 519. Let y(o) = 8*o + 111. Give -2*i(c) + 11*y(c).\nAnswer: 8*c + 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7301 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 12) to base 2\nAnswer: 1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 31 = 17. Solve 4*o + c = 4*n + 2*o, 4*o + 2 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 752, 2550, 6056, 11840?\nAnswer: 20472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23178459 to the nearest integer?\nAnswer: 4814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 65. Determine y(0).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1524 - 909 - 10*i + 8*i to the form v + n*i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {e: 5, a: 5, q: 1, c: 3, z: 6}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43 - -0.19.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3 + 268*r**2 + 353*r + 88 = 0. What is r?\nAnswer: -88, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71512574, -143025150, -214537726, -286050302?\n\"Answer: -71512576*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 678, 0, -2\/35093 in increasing order.\nAnswer: -2\/35093, 0, 678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g - 135 + 1869. What is the greatest common divisor of g and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 1. Let b(v) = -9*v - 2. Suppose -23 = -5*x - 8. Let g = 8 - x. Suppose 0 = -4*y + 3*m - 25, -2 = y - 0*y - g*m. What is y*i(j) - 3*b(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 185, 0.1, 1156.2, -4, -0.5, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -2209?\nAnswer: 11045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from eyeewwe?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.21 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/((-375)\/6))\/(24\/(-10))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g. Let d(y) = -4*y**2 - y + 10*y**2 + 0*y - 3*y**2. Let r be d(1). Let v(q) = 17*q**2 + 17*q**r - 31*q**2. Give v(f(a)).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115 + -1727\/15. Let g = -13 - -13. Let c = 0 + 0.2. What is the closest to 1 in u, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 36 = -0*r + 2*d, 7*r + 2 = 2*r - 18*d for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.197624 to 4 decimal places.\nAnswer: 0.1976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -7136?\nAnswer: -7116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29889 is divided by 41.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/2)\/a**(6\/5)*a**(2\/39)\/a**24 assuming a is positive.\nAnswer: a**(-10393\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11321189, -22642380, -33963571, -45284762?\n\"Answer: -11321191*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/47946 and -56\/414735.\nAnswer: 6628294770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7468\/11 - -679. Sort -0.1, 0.5, h, 0, -3\/2.\nAnswer: -3\/2, -0.1, 0, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1531 and -1530 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1549 + -2130. Is -579 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61 + -62 - (-5 + -1 + -1) and 211?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61 - 9?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4991 * -0.18\nAnswer: -898.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211221302 (base 4) to base 10.\nAnswer: -154226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 10. Let m(k) = 2*k + 4. Let v(s) = -s + 2. Let n(c) = -m(c) + v(c). Give n(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p - 4. Let x be z(-3). Let n(f) = 6 - f**x - 6. Let j(u) = 3*u**2 + 6*u. Let v(b) = 3*b**2 + 5*b. Let s(r) = -5*j(r) + 6*v(r). What is s(n(t))?\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4\/5 - 36*p**3 + 168*p**2\/5 + 352*p\/5 = 0.\nAnswer: -1, 0, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z**3 - 2*z**2 - 3*z**3 + 2 + 4*z - 12*z**2 + 0 = 0. Calculate z.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47629717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 380 - 1571. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877.6818 millilitres to litres.\nAnswer: 0.8776818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -943, -1954, -2865, -3676, -4387?\nAnswer: -4998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let g = 0.59 + 0.01. Let t = -2.4 - g. Which is the smallest value? (a) 0.1 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**6\/360 + 7*y**5\/120 - 5*y**4\/24 - 5*y**3\/6 - 7*y**2. Let c(z) be the first derivative of n(z). Give c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 34560 = 30*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0589403076 rounded to 5 decimal places?\nAnswer: 0.05894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42915725*c - 118280135 wrt c.\nAnswer: -42915725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from lpnppplllnppnplnp.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 110211211 (base 3) to base 7\nAnswer: 36205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.4. Let z = p - -0.3. Let m = 421 - 421. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1459*j - 14431 - 451 = 36183 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12794 + 2628 = -17*u. Is 25 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.613 - 1.613. Put p, 1, -2\/1487 in increasing order.\nAnswer: -2\/1487, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 - (31 - 25) - (12 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1, 139, -3 in decreasing order.\nAnswer: 139, 1, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7704986 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(27) + sqrt(27) + sqrt(162)\/(sqrt(42)\/sqrt(7)))*4)\/(5*-1*sqrt(729) - sqrt(729) - sqrt(729)).\nAnswer: 8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 5*a**2 - 30*a + 304. List the prime factors of p(24).\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-2)\/((-7920)\/(-26824))) + 74\/407\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169 - 169. Let f(c) be the third derivative of 0 - 1\/36*c**4 + 1\/90*c**5 + n*c - 2\/9*c**3 + 3*c**2. Factor f(s).\nAnswer: 2*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 31.98. Let n = -0.02 - r. Is n less than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**5 + d**3 - d. Let u(l) = -6*l**5 - 5*l**2 + 12*l**3 - 2*l - 4*l**3 - 6*l**3. Let p(g) = u(g) - 2*z(g). Find the third derivative of p(x) wrt x.\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39441?\nAnswer: 3, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eenj when four letters picked without replacement from pjesjpneewjjjjwpwjn?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 3, -2\/15, -29, 1\/6.\nAnswer: -29, -2\/15, 2\/15, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*8 + -2 + (-672)\/120. What is the nearest to -1\/2 in -5, k, 12, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:04 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 9. Suppose 4*c = p*z - 66, -3*c + 65 + 23 = 4*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 106, 80, 20, -92, -274, -544?\n\"Answer: -3*a**3 + a**2 - 8*a + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/27 and 17\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269708235 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -37. Suppose v*n + 4 = 3*m, 7 = -5*n - 5*m - 3. Let s be (0\/(-1))\/((2\/n)\/(-1)). Is 1\/25 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 divided by -38?\nAnswer: -347\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -0.16.\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112277 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -554239, -1\/2, 0.03 in increasing order.\nAnswer: -554239, -1\/2, 0.03, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11774521.\nAnswer: 11, 1070411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-3))\/m*m)\/((((m**3\/m)\/m)\/m)\/m))**(-1\/3)\/(((m*m**(-1)\/m*m)\/m)**(2\/23)*(m*m*m**2*m)\/(m\/m**(-3\/4))) assuming m is positive.\nAnswer: m**(-1333\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -40\/9, -2\/2865, 1 in decreasing order.\nAnswer: 1, -2\/2865, -40\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125)\/1750)\/(4 - (-2190)\/(-546)) + (-4)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 824086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*j - 25 = 0. Solve -j = x - 3*u + 5, 5*x = -3*u + 4 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 2134436 and 10700?\nAnswer: 53360900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/22 - 23\/((-5060)\/(-84)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*p - 43 + 29, -20 = -5*o - 5*p. Let z = 244 + -142. Calculate the highest common divisor of o and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 divided by -22?\nAnswer: 349\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -39, 44, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -102, -152, -258, -438, -710, -1092, -1602?\nAnswer: -2258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(2 - 0) - -381. Find the first derivative of n*b**2 - 382*b**2 - 16 - 12*b**3 wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117.67 + -117.53. Let i be ((-6)\/8)\/(4\/32). Sort i, c, 2\/9 in ascending order.\nAnswer: i, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353 (base 15) to base 14\nAnswer: -3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8112)\/(-234)*1\/8\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13357 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(2*a**4 - 83*a**3 + 83*a**3) + 0*a**4 + 2*a**4 + 0*a**4 to r + b*a**4 + x*a**2 + v*a + n*a**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1003*x**2 + 1003*x**2 - 95*x**3)*(4*x + 4*x - 6*x) as h*x**3 + b*x**2 + p + k*x**4 + q*x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + s. Let i(t) = 11*t**3 + 2*t. Give -3*i(c) + 6*r(c).\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53978721.\nAnswer: 3, 2711, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8035, 8031, 8025, 8017, 8007, 7995?\n\"Answer: -m**2 - m + 8037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 16)*(-6*t - 7*t - t).\nAnswer: 238*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2202 + 22?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3616166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 34*o**3 - 8*o + 7. What is the hundreds digit of g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-1)\/2 + 31. Let j = t - 17. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 325561?\nAnswer: -325552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-8)\/(-96)*(-80)\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/232011 and -85\/4021524.\nAnswer: 12064572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*a + 8, -3*a - 1902 = 2*n - 1903 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3 - 1 - 3 - 12*b - 4. What is the tens digit of d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-10 + 7 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1458 + 14583\/10. Which is the biggest value? (a) -1.5 (b) 2\/11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316987 (base 10) to base 3.\nAnswer: 121002211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 15 = -5*p, p = 6*w - 2*w - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18493*n - 336*n - 6861*n - 11453*n - 6273*n.\nAnswer: -43416*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(1573)*6 - ((sqrt(1573) - -1*(sqrt(1573) + 2)) + sqrt(1573) + (((2 + sqrt(1573) + sqrt(1573) - sqrt(1573)) + 0)**2 - sqrt(1573)))) + 2.\nAnswer: -1122*sqrt(13) - 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/((-12)\/212))\/((-1)\/4). Calculate the highest common divisor of a and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 4*i**2 + 3*i**2 - 2*i + 3 + 3*i**3. Suppose 6 = -6*f + 18. Is l(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 65*r - 228. Is w(27) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.96 + -9.96. What is the third smallest value in 0.3, n, -1422?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 101530, 203070, 304628, 406216, 507846?\n\"Answer: 2*a**3 - 3*a**2 + 101535*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 2*l - 3*l + 215*l**3.\nAnswer: 215*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(432) - -3*sqrt(432)))**2.\nAnswer: -288*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 520*y**2 - y + 73. Let j(q) = 347*q**2 - q + 54. Determine -7*j(x) + 5*k(x).\nAnswer: 171*x**2 + 2*x - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44883029 to three dps.\nAnswer: -0.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -60, 91, 2\/73 in increasing order.\nAnswer: -60, -1\/4, 2\/73, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/18)\/(-8)*(128\/(-96) - 1\/(-3)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221385 is divided by 277?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 16 + (-12 - -5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -657 + -1?\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x**3 - 7*x**2 + 7*x + 20. Is j(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3721.109l to millilitres.\nAnswer: 3721109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 - 105*l**4 + 106*l**4 - 9*l**3 + 5*l**2 + ((0*l + l**2 + 0*l)*(3 + 0 - 1) + 0*l**2 - l**2 + 3*l**2 + 4*l + l**2 - 4*l)*(l - l - l**2).\nAnswer: -4*l**4 - 9*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3 - 94*f**2 + 34*f**2 + 4. Let h(s) be the first derivative of -s**2 + 72319. Give h(j(a)).\nAnswer: 120*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50955?\nAnswer: 3, 5, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**3*w + 853*p**2 + 2229*p*w + p wrt p?\nAnswer: 30*p*w + 1706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5\/7 + 3501*j**4\/7 - 1290369*j**3\/7 + 151985475*j**2\/7 + 313073736*j\/7 - 463772340\/7 = 0.\nAnswer: -3, 1, 302, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = -5*w - 110, -i + w - 37 = -44 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 16619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d**3 + d**2 + 26*d + 6. Let u(w) = 14*w**3 - 2*w**2 - 26*w - 7. Let c(k) = -5*o(k) - 4*u(k). Find the second derivative of c(a) wrt a.\nAnswer: 24*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14093.11649 + -14083.11649007. Let d = b - 10. Round d to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2232411 (base 8) to base 16.\nAnswer: -93509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 6. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 24967*g + 2596565. Calculate r(-104).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 5*u. What are the prime factors of m(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -2*b - 12, 3*b - 2 = -3*s + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 215.156909 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 2:45 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 377688034 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ellleellell. Give prob of picking 3 l and 1 e.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(-1 + 2 - 3)*(-104*d**4 - 80*d**2 + 80*d**2).\nAnswer: -832*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -45*p**2 + 275*p + 125. Let c(r) = -22*r**2 + 137*r + 63. Let o(d) = -5*c(d) + 3*m(d). Factor o(y).\nAnswer: -5*(y - 6)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -2\/19, -232, 546 in increasing order.\nAnswer: -232, -23, -2\/19, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -741 less than -5192\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -963098.3 to the nearest ten thousand.\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxxxxppppppppppppxp. What is prob of picking 2 p and 1 x?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-624)\/117 - -6) + (92\/(-6))\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 34.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261.2*-0.39447.\nAnswer: -103.035564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.944 to the nearest integer.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - j + j - j - 55*j**3 + 58*j**3 - 128.\nAnswer: 3*j**3 - j - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41469031.\nAnswer: 41469031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**3 + 17*c**2 + 2*c - 7. Let b(w) = w**3 + w**2 + w. Let y(t) = -3*b(t) + j(t). Is y(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10486 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -69 + (-19 - (3 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6592*i + 2016*i + 1288*i - 3048*i + 4801*i to n*i + t and give n.\nAnswer: 11649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*t**2 + 1500*t**2 + 3 - 502*t**2 - 501*t**2 + 14.\nAnswer: -2*t**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 35*d**2 - 37*d + 39. Let q be t(36). Let c(a) = a**3 + 6*a**2 + 11*a + 30. Let l be c(-5). Solve -w - q*w = l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -522.5 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 207223236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/2)\/((-32)\/(-12) - 3) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.179 + 0.083. Let n = 8 + -7.977. Let j = f - n. What is j rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*l = -3963 + 255. What is the highest common factor of 1413 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.047.\nAnswer: -0.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5442932 by -30.\nAnswer: -2721466\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from yrvze?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1725 (base 9) to base 8\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99\/14 - 312\/7. Find the common denominator of b and 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/19 + 26*t**2\/19 + 96*t\/19.\nAnswer: -2*t*(t - 16)*(t + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 738*g = 740*g - 25, -3*t + 24 = 3*g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0 - 3\/2*a**3 - 6*a**2 - 6*a = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Suppose q*k = p - 22, 6 = 2*k + k. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 111\/7, -1\/27 in increasing order.\nAnswer: -1\/27, 111\/7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*u + 2*q - 19, 2*u - 5 = 5*q. Suppose -27*r + 84 = -u*r. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826 a factor of 7900964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -88450?\nAnswer: -35380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19125432 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) - sqrt(3888)*2)\/(4*sqrt(225) - sqrt(9)) - -6*((sqrt(12) + sqrt(3) - sqrt(3))**2 + 2 + -2*sqrt(48)).\nAnswer: -924*sqrt(3)\/19 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.584499 centuries?\nAnswer: 1901.3988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3 (b) 0.4 (c) 0.25 (d) 0.5 (e) -6\/103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*t + 8\/7*t**4 + 12\/7*t**3 + 8\/7*t**2 + 2\/7*t**5.\nAnswer: 2*t*(t + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/54 + (-1606)\/1155.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*y + 671 = -26*y - 62*x + 59*x, 2*y + 15*x - 4*x + 415 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483684 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**3\/3 - 18230*l**2\/3 - 24285*l - 18210 = 0 for l.\nAnswer: -3642, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 4)*(3*f - f - 4*f) - 2*f + f + 2*f - 1 + 2*f + 1 - 8 + 366*f - 365*f + 1 + (f - 3 + 3)*(2 - 3 + 2) - 25 + 25 + 11*f)*(f + f - f).\nAnswer: 18*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (0 + 14)) + (-3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 45 = -5*s. Suppose 2*m = 5*x - 20, 0*x - s = 5*m + 5*x. Which is the closest to 0? (a) 3 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317504753?\nAnswer: 14983, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 5, 100.\nAnswer: -4, -3, 4, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 5*y**2 + 4*y - 1. Suppose -k - 4*v = -6 - 12, 0 = -2*k + 2*v + 66. Suppose b + k = -4*b. What is the units digit of f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + 29. Let a be (-2 - p) + (2 - 3). What is the greatest common factor of a and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39a7 - 28?\nAnswer: -3a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 2*a + 2*a + 32*a + 5*a - 5*a to the form v + b*a and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574332373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a - 385. What is the remainder when 12 is divided by x(-43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by -4*(-3 - (-4)\/(-16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6819585\/8342*((-44)\/(-99))\/((-10)\/(-3)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -177.999652 + 178. What is h rounded to 5 decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69293\/50424 + 5\/6303. Let j(i) be the third derivative of 0 - 7\/6*i**3 + 18*i**2 + 0*i - x*i**4. What is the first derivative of j(u) wrt u?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2551280.\nAnswer: 2, 5, 31891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3940 + -2128. Find the common denominator of -71\/12 and 1\/256*-129*302\/q.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1880 divided by 215334?\nAnswer: -940\/107667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 8. Let s = -145 + 149. Suppose 0 = -2*d + w + 4, -7*d - s*w = -5*d + 6. What is the closest to d in 0, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/2 + -7\/10. Let g = -4917.6 - -4918. Which is the second biggest value? (a) 1 (b) -1\/7 (c) g (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -50, -1\/5 in descending order.\nAnswer: 4, 0.4, -1\/5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -199179, -1593301, -5377345, -12746271, -24895039, -43018609, -68311941, -101969995?\n\"Answer: -199160*d**3 - d**2 + d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*x**4 - 5262*x**3 - 2938857*x wrt x.\nAnswer: 936*x**2 - 31572*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6699 - 6011. What is the greatest common divisor of 1118 and l?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232 and 243020?\nAnswer: 486040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 52. Let a = k - 12.24. Round a to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2063*(12 - 154\/11). Which is greater: c or 4127?\nAnswer: 4127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327 and 14779419?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221354 and 6208.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d - 5 = 0. Suppose 73 = d*i - 112. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 106916*(-3)\/(-75) - 4. Let c = -4274 + q. What is the common denominator of 582\/(-28) + 4\/14 and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3322 - 3277. Calculate the remainder when 189 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 88c - 14?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/11 (b) 4\/103 (c) -5\/6 (d) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19939 divided by -261?\nAnswer: -19939\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-728)\/8)\/13 - -439. Let p = -1 - -11. Suppose -p*l + 7*l + f = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3026.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -174*f. Let y(m) = -1795*m**2. Give y(h(a)).\nAnswer: -54345420*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l + 2*m = 24, -3*l - 2*m = -16. Suppose 2*g = l*u + 878, 11*g - 12*g + 441 = -u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986581.2l to millilitres.\nAnswer: 986581200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 10857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*s = -4*s - 1, -q = 2*s - 1. Suppose -q - 5 = -2*d. Suppose -d*v - 13 = -5*v. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -19. Suppose -6 = g*a + 8. What is the third smallest value in -1\/32, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 187978087 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -461 + 86 = -5*g. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u - 7713*u**2 - 1358*u**2 + 5006*u**2 - 6363*u**2 - u + (u + u - u)*(2*u + u - u) + 2*u**2 + u**2 - 2*u**2 as w + f*u + s*u**2 and give s.\nAnswer: -10425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1218\nAnswer: -243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*m**2 - 1)*(9*m - 100 + 97 - 5*m) in the form w*m + o*m**3 + t + s*m**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - 85*v - 1073. What is the thousands digit of o(-51)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94224 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -2*l + d, 0 = -4*d - 16. Suppose -t + 0*t = l, 0 = 3*g + t + 10. List the prime factors of 1 + g - (-3 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/(-18)*(-12)\/10. Suppose 0 = l + 2*o + 7, 6*l - l + 59 = 2*o. Let p = 19 + l. Solve -2*b = -n - p, 3*n + 12 - d = b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219440 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r**3 - 15*r**2 - 45*r + 5. Let s(d) = -9*d**3 - 18*d**2 - 47*d + 6. Determine 6*m(y) - 5*s(y).\nAnswer: -3*y**3 - 35*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/749 and 43\/749.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u + 5*w - 655 = 0, -4*u + 3*w = -1245. Suppose -5*y + 492 = m, 2*m - u = -4*y + 81. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15a8 + -44?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1125882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u - 4 + 4*u + 5 - 38*u. Let x(r) = 2*r. Calculate x(b(f)).\nAnswer: -58*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 55 = -19. Let p = -22 + d. What is the remainder when 44 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mknnmomnnmkzzmzkvmz. What is prob of sequence zzm?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -312448\/67 + 79933745\/17286. Let z = b - -235\/6. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -84*13\/(-104).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*r**5 + 27552*r**4 - 1324248*r**3 + 24151136*r**2 - 119613156*r + 176118912 = 0. What is r?\nAnswer: 23\/7, 32, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q + 4*h - 824, -3*q + 614 = 4*h. Let i be (5000 + 0)\/((-7)\/q*-2). Round i to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 450*g**5\/19 + 3270*g**4\/19 - 11752*g**3\/19 + 5696*g**2\/19 + 2176*g\/19 + 160\/19 = 0.\nAnswer: -10, -2\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*(-45)\/420*-28. Suppose 6*d = 8*d - 8. Suppose -d*v + v - c = -694, -5*v - c + 1156 = 0. What is the greatest common factor of v and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -195 or -956?\nAnswer: -956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478469332.\nAnswer: 2, 11, 107, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -218.97607 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + 5. Let i = 49547.23937 - 49527.24. Let l = s - i. Round l to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/1680 - y**6\/720 - 13*y**5\/30 - y**2 + 11. Let j(c) be the third derivative of p(c). Suppose -3*k + 1 = -5. Give j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -933*m**2 + 420*m**2 + 6 + 351*m**2 - m**2 - m**2 + 4*m**2 + (-2*m + 2*m + 2*m)*(m - 3 + 3).\nAnswer: -158*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -455, -451, -449, -449?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -835465*a*b**2 - 2*a - 42993*b wrt b.\nAnswer: -1670930*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o + 5*b + 116 = 0, 0 = 2*o + 4*b + 64. Let q(g) = -g - 8. Is 4 a factor of q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 16 - 36 - 3*d)*((-3*d + 0*d + 5*d)*(-3 + 1 + 1) + 0*d + 3*d + 0*d).\nAnswer: -3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16604895*g*i*n + 2*g*i + 1311*g*n - 2523*n wrt i.\nAnswer: -16604895*g*n + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/18 + (-390)\/27. Let c = o + 6. Let q(n) = -n**3 - 6*n**2 + 12*n + 3. Is 5 a factor of q(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from timiiit. What is prob of picking 1 t and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.8717 - 0.1283. Let y = -4.092 + -16.878. Let m = i - y. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-42)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-56))\/((-55)\/(-1925))*(-32)\/5\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 533 - 735. What is the second smallest value in -5, i, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 + 176*i - 35. Let m be v(35). Solve m = -7*s - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 - 2*r + 2. Suppose q + 4*q + 10 = 0. Let m(g) = 5*g**2 - 3*g + 3. Suppose 18*t = 6*t + 36. Calculate q*m(j) + t*s(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -16 (b) 19 (c) 5 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1410 - -1414. Sort 3\/11, n, 34.\nAnswer: 3\/11, n, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5590462616 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52498900, 52498901, 52498902, 52498903, 52498904, 52498905?\nAnswer: 52498906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3\/5)*z**(-1\/4))\/((z\/z**(-3\/2))\/z**(-2\/7)) assuming z is positive.\nAnswer: z**(-201\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43430125 + 3?\nAnswer: 43430128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/5*-5*1\/2. Let w(j) = j + 7. Determine w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6779567265 - 22.\nAnswer: -18.3220432735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnso when four letters picked without replacement from {s: 2, j: 4, o: 3, n: 2, i: 3, v: 2}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3741*a. Let i(c) be the second derivative of -2*c**3\/3 - 3082*c. Give i(b(m)).\nAnswer: -14964*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*(137376\/2088 - 66)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + 421*t - 29578\/3.\nAnswer: (t - 23)*(t + 1286)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 + i. Let n(p) = -p**2 - p - 1. Let j(c) = -c - 1. Let h(q) = -j(q) + n(q). Let w(o) = 4*g(o) - 22*h(o). Factor w(x).\nAnswer: 2*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -520*x + 2. Let o be z(4). Let n = o - -33267\/16. Find the common denominator of n and 9\/(4 - -7 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**3\/6 - m**2 + 2*m + 3. Let v(w) be the first derivative of x(w). Find the first derivative of v(y) wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296937132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19338 or -1137?\nAnswer: -1137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-91 + 97 + 22)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i - 1. Let o be z(0). Let s be 18\/(-4) + o\/(-2). What is the units digit of (-6)\/s + 2\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10*j + 3 - 3*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48216 divided by 12054?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -58374 divided by -8\nAnswer: 29187\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by 4.\nAnswer: 79\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 3*y**2 + 6*y**2 + (3*y - 2*y - 2*y)*(5 + 2*y - 5) + (3*y - y - 4*y)*(32 + 9*y - 32).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*b + 80*b + 6. Let r(l) = -l**3 + 2*l - 3. What is r(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76442 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 - 7 = 82*t. Calculate the greatest common divisor of 250 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*((sqrt(686)*-4 + sqrt(686) - sqrt(686)) + sqrt(686)))\/((sqrt(98)*4 + sqrt(98))*2)*6.\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 9*r + 3. Let i be z(-7). Let o = -8 - i. Suppose n = -3*n + 16. Are n and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 601726 and 414?\nAnswer: 5415534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 391, -2, 4 in descending order.\nAnswer: 391, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 4440\nAnswer: -35520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234309061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -418963, -841492, -1264021, -1686550, -2109079?\n\"Answer: -422529*i + 3566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111642.\nAnswer: 2, 7, 271, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s - 3*d = 35*s - 12, 0 = 3*d - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8837 divided by -8837.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 2\/5, 568?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2412, -9512, -21338, -37884, -59144?\nAnswer: -85112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 3*b**5 + 0*b**3 + (2*b**3 - 3*b**3 - b**3)*(11*b**2 - 16*b**2 - 2 + 1).\nAnswer: 7*b**5 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h*h**(-1\/3)*h)\/((h\/h**0)\/(h**(-1\/3)*h*h)))\/((h**0*h)**(2\/13)\/(h**(-1\/7)*h*(h*h**(-2\/9)\/h*h)\/h)) assuming h is positive.\nAnswer: h**(1486\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.45 + -2.45. What is the second smallest value in -1, -4\/3, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 10*m + 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 612, 354, 82, -210, -528, -878?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 8*o - 8. Calculate n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13971356349837+-18\nAnswer: -13971356349855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8452 + 3 + -15)*25*2. Round d to the nearest ten thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14073283.\nAnswer: 7, 37, 67, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmm when three letters picked without replacement from mwwmwwwwwm.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j**2 + 3*j + 3. Let a(f) = -22*f**2 + 7*f + 7. Let h(g) = 3*a(g) - 7*c(g). Let t(k) = 4*k**2. Determine h(t(d)).\nAnswer: 176*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvnvvvvvf. Give prob of picking 2 v.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 239798664 > 239798664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 11*p**2 - 7*p + 5. Let k(r) = -r**2 + r - 1. Determine -5*k(a) - x(a).\nAnswer: 2*a**3 + 16*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 2*i**2 + 0*i**2 + (2*i - 2 + 2)*(-i - 2*i + 0*i) to q*i + n*i**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide ((-96)\/3)\/(4\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -558?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133489.7711643244 + 0.0347356756. Let c = 133479 - o. Let n = c - -10.8. What is n rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 442763\/50890 + -2\/5089. Suppose 0 = -252*h + 250*h + 4786. Let b = h - 21568\/9. What is the common denominator of c and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 1911 = 6*d. Round d to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1463268, -1463265, -1463262, -1463259, -1463256?\nAnswer: -1463253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -31?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 1, -0.29, -2\/7, -15 in ascending order.\nAnswer: -15, -0.29, -2\/7, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/5 in 0, 4, 2\/3, 2, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5 - 20*f**4 + 1505*f**3 + 1520*f**2 = 0. Calculate f.\nAnswer: -19, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(-27)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4960, 4956, 4958, 4972, 5004, 5060?\n\"Answer: t**3 - 3*t**2 - 2*t + 4964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200722?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 468 and -8574608.2214.\nAnswer: -8574140.2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 456613780 divided by -1420?\nAnswer: -321559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 16*p**2 - 192*p + 307. Is m(98) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18260648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 1. Let n be v(-1). Let u = n + 8. Let m = -0.12 - -1.12. Which is the closest to 1? (a) u (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 23*q + 0 - 1\/6*q**3 + 0*q**2. Let t(d) = -2*d**2. Calculate y(t(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61886990.\nAnswer: 2, 5, 11, 19, 29611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/15 + 98*o**3\/15 + 1408*o**2\/15 + 968*o\/3.\nAnswer: 2*o*(o + 5)*(o + 22)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0*x**2 + 0*x**3 + 0*x**5 - 15*x + 0*x**7 + 0 + 0*x**6 - 1\/4*x**4 + 11\/56*x**8. What is the third derivative of a(l) wrt l?\nAnswer: 1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-5\/4)*a))\/a*a*a**(-2\/17)\/a)\/((a*a\/a**(-1))\/a)**(-14))**(-1\/6) assuming a is positive.\nAnswer: a**(-1913\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2500000*v + 93750. Let k(u) = -1. Let y(o) = 93750*k(o) + t(o). Let d be y(5). What is d rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*n\/(n*n\/(n**(-6\/7)*n))*n))\/n)\/n)**(11\/6)*(n\/(n\/(n**5*n)))**(-34) assuming n is positive.\nAnswer: n**(-4328\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 432?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**2\/2 - 15*j + 1. Let s be i(7). What are the prime factors of 0 + -1 - (s + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693407 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, n: 11}. What is prob of picking 4 n?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -2\/13, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -11\/2737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-22)\/4)\/(-11) + (-51)\/(-2). Suppose 2*f - 3*p = -6*p + v, 4*p + 2 = f. Which is the nearest to 0.1? (a) f (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620272 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 27, 40, 55, 72, 91, 112?\n\"Answer: c**2 + 8*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33143580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + 57.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.081 - 1.801. Let k = g - -1.72. Which is the closest to 1? (a) -2\/13 (b) -1\/6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075379292?\nAnswer: 2, 3, 13, 2297819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 + 163.999194. Round z to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 31 + 11 = 0. Solve 5*t = -0*t + o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 2*n - 1. What is f(6)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/4*-4 - 6. Solve 0 = j*m - 22*m + 133 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rekfneqfk. Give prob of picking 1 q and 1 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -75*w + 80*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.630978 rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) - 60\/(-14). Suppose z = -3*p - 2, -5*p = g - 19319990. Suppose 5*d + g = -2*d. What is d rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let z be 16\/3 - l\/6. Let o = 0.8 - 0.3. What is the biggest value in 0.4, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(4\/35 - (-6)\/21). Let u = j - -38. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2905 - 2200. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 44. Give y(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22300 is divided by 5304.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 160\/163421 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.5 + 21.5. Let t = -7.5 - -1.5. Let v = t + s. What is the closest to -0.1 in 2\/15, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116237475 + 3.967\nAnswer: 116237478.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47649 divided by 16.\nAnswer: 47649\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + h + 2. Let o be v(0). Put -5, o, 3\/7, 8 in decreasing order.\nAnswer: 8, o, 3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1622\/1845 + -2\/205. Which is smaller: 0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (38 + -1028)\/22.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -1\/9 (c) -0.02 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 408 - 3 = 3*h, -5*v = -5*h - 480. Suppose -4*c + 105 = 5*t, 0*c + v = 3*c - 3*t. Suppose 5*w + 5*j = 280, 2*w + j - c = 77. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) - (sqrt(1053) - ((sqrt(1053) + 2 - sqrt(1053))**2 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/168 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.11 and 162.\nAnswer: 162.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/5492339?\nAnswer: 2\/5492339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82925 - 83289 = 26*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.24 - 158.42?\nAnswer: -151.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95)*1 + sqrt(95) + sqrt(95))*4)\/(sqrt(20)\/(sqrt(20)\/sqrt(5))).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 12*i + 22. Let l be j(-10). Is 1\/(l + (-1983)\/993) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/3 (c) 1 (d) -1\/5 (e) 56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -76. Calculate the greatest common factor of g and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94\/11*i**2 + 92\/11*i + 2\/11*i**3 + 0.\nAnswer: 2*i*(i - 46)*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4 = -i, 18 = -4*i - 4*b + 2. Let f = 8 + i. Suppose -2*a + 0*k + 34 = -f*k, a + 3*k = 17. Solve -a = 5*u + 2*w + 7, w = -2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4503 or 4501?\nAnswer: 4503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 + 6 = 0. Suppose y*u - 7 - 7 = 0. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**6\/120 - 13*d**5\/60 + 11*d**4\/24 + 8*d**3\/3 - 2*d**2 + 93. Give w(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.9 - 0.9. Let r = 321 - 320.9. Let l = -0.3 + -0.2. Which is the second smallest value? (a) v (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -3.98. Let v = 9 + j. Let w = 281.24 - 280.24. What is the second biggest value in 3, w, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7500 - 619*j - 7500 in the form x*j + a and give x.\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 14*q**3\/3 + 3*q**2 - 9*q + 56. Let u be x(3). Calculate the greatest common divisor of u and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.4 + -23. Let y = -7 + i. Let v = 0.0564 - -1.9436. Which is the biggest value? (a) -1\/3 (b) -3\/5 (c) y (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -0*a - a. Suppose 4*f - a = 2*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*o + 243 = -0*r, 5*o = -3*r + 727. Does 58 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2355047 from -6453248.\nAnswer: -4098201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 52\/(-32) - 145573\/(-7816).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -33\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-104))\/(((-288)\/208)\/1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 484 - -153. Find the common denominator of 1*2 - (-13 - c\/(-70)) and -65\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 13*k**2 + 83*k + 8. What is w(-6)?\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11860 + -3?\nAnswer: 11856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1417982 or 1417986?\nAnswer: 1417982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-440)\/24 - 14). What is the highest common factor of 97 and o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 1:20 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 6*h + 3. Suppose 4 = -2*l, w + 0*l + 1 = -3*l. Determine r(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 54. Let k(o) be the second derivative of o**4\/2 + 8*o - 10. Give k(a(d)).\nAnswer: 6*d**2 + 648*d + 17496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-330)\/4400*-140)\/((-14)\/(-20)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 - (-41 - -36). Solve 4*i - 27 = 5*z, 3*z + n*i - 24 = 7*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*t**2 + 6 - 15 + 11 wrt t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35928 = 9643*c - 10641*c for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (3 + -280)\/(2 - 69\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, -3149\/3, 3\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8039\/2 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mve when three letters picked without replacement from {o: 1, v: 1, m: 1, e: 1, z: 2, t: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.324498 + -8.432.\nAnswer: -8.107502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384971158 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14)**(7\/6)*h**26*h*h**(-4\/3)*h*h assuming h is positive.\nAnswer: h**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2115*v - 12789. Determine b(-6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2312945718 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -5 (c) 26\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -138. Let w = 783\/11 + v. Let r be (((-6)\/4)\/3)\/1. Which is the third biggest value? (a) r (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from bsyhhfhyss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*d - 23*d. Let i = 5 - -2. Suppose 2*s + 0 = g - i, d = -5*g + 2*s + 67. Calculate the remainder when 57 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**38\/((a*a**(-2\/7)*a)\/a)**(-20) assuming a is positive.\nAnswer: a**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(1 - 0) + 7. Suppose f*j = j. Suppose j = i - 4, -3*i - 43 = t - 6*t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2348, -4509, -6670?\nAnswer: -8831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82547 - h**3 - 82550 + 53*h + 4*h.\nAnswer: -h**3 + 57*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 3290 = 3317 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, 2, 99, -9 in descending order.\nAnswer: 99, 11, 2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072)*-2)\/(sqrt(90)\/sqrt(360)).\nAnswer: -144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0329 + 0.1329. Which is the closest to -1\/4? (a) g (b) 2\/7 (c) 1 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 30*o**3 - 392*o**2 + 22*o + 32. Let s be d(13). Let i(c) = -2*c**2 - 42*c - 29. Give i(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 15150*m**2 + 927811*m + 912660.\nAnswer: -(m - 15211)*(m + 1)*(m + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {i: 12, b: 6}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*x + x. Suppose -t = x - 0, 5*m + 4*t = 14. Suppose -5*c = 3*f - m*f + 493, -4*f + 650 = -3*c. List the prime factors of f.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2477 + 2483. Sort -3\/2, -1\/30, z in ascending order.\nAnswer: -3\/2, -1\/30, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 81, 5 in descending order.\nAnswer: 81, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {a: 11, b: 3, q: 1, n: 4}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729 - 174 = 37*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105350 + 520202?\nAnswer: 410412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + 200100010101222?\nAnswer: 200100010100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 5. Let m = -31 + 36. Let j be 18 - (-5 - m\/(l\/(-3))). What is the greatest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148 and 12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1409540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 26376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22100202102 + 0?\nAnswer: -22100202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -3 - (2 + 1)) + 4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/588*4684\/5855?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2*s - 10 + 12 = 0, -5*s + 21 = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18007445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -67, -85, -129, -211, -343, -537?\n\"Answer: -2*h**3 - h**2 - h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2. Let f(x) = -5*x + 142. Let o be f(28). Let h(g) be the first derivative of 0*g**o - 9 + 25\/3*g**3 + 0*g. Give h(d(t)).\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/12)\/(90\/(-480)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2169 = 4*t, -13*t = -9*t + 4*h + 2204. Which is smaller: -1085\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 426122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 695906*b*l**2 + 2*b*l + 22452460*b + 3*l**2 wrt l.\nAnswer: 1391812*b*l + 2*b + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15*n - 386. Determine k(27).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c**(-2)*c)*c)*c))\/(c\/(((c\/(c\/(c\/(c*c*c*c*(c\/((c\/(c*c**17\/c))\/c)*c)\/c))))\/c*c)\/c)) assuming c is positive.\nAnswer: c**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.3 and -0.05727554.\nAnswer: -0.819040222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*(-6)\/7. Which is the smallest value? (a) 1\/8 (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3742*q + 104670 - 62886 = -126606 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -994 - -994. Solve -4*u + 13 = 3*z + 3, -2*u + 4*z + 16 = o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -655594.05 and -186.\nAnswer: -655780.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v + 18 = -3*r, 3*v - 2*r = 26. Let d = v - 5. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/13 + 86*c**2\/13 - 146034*c\/13 - 1345086.\nAnswer: 2*(c - 299)*(c + 171)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/24 + 71*x**3\/12 + 35*x**2\/2 + 24*x - 3. Determine j, given that n(j) = 0.\nAnswer: -70, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 1:20 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 equal to -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:19 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 7*c**2 - 8*c - 12. Calculate r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 602353.7ns?\nAnswer: 0.0006023537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 65154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/8, -5, 0.3, 7\/20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 + 2*u + 1. Let q(j) = -3*j**2 + 3*j. Let v(c) = -3*q(c) + 2*t(c). Let z be v(6). Is -4*(-2 + (-150)\/z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 62*q + 66*q - 90*q. Let u(h) = -2*h**2. Determine u(b(y)).\nAnswer: -2888*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(204)\/(sqrt(12)*1)*4.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36340 = 356*x + 1205*x + 19*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -727 or -18893\/26?\nAnswer: -18893\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8 = 2. Let j be 2*y\/(4\/(-11)). Let n = j + 19. What is the remainder when 15 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 13) in base 11?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**2 + 2*y - 1. Let j be c(-2). Suppose 223*d**2 - j*d**2 + 13 + 23 - 168*d = 0. Calculate d.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*-2*(-6)\/(-9). Let a = -2634.5 - -2634. What is the smallest value in -2\/13, k, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*t - 4*t - 698017 + 698226 - 1946*t**4 wrt t?\nAnswer: -7784*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/875 + 696\/1155?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*k**4 - k**3 + 29*k**2 + 3813*k wrt k.\nAnswer: -120*k**2 - 6*k + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 7*n**2 - 7*n - 8. Let b be y(8). Let u = b - -4. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42373, -84747, -127121, -169495?\n\"Answer: -42374*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28393 or 28403?\nAnswer: 28393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 0 + 3*i + 0. Let u(y) = -7488 - 2*y + 7488. Calculate u(k(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 541831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19811, -19858, -19905, -19952?\nAnswer: -19999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249 + 253. What is the third biggest value in 0.4, u, 9\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4640 and 327555?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13295*u + 13528*u = -8388 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55\/(-88)*-8 - (-15)\/(-3). Let c(u) be the first derivative of y*u**2 - 22 + 1\/3*u**3 + 0*u. Let o(m) = 2*m**2. What is o(c(w))?\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 + 2*y - 3. Let d(q) = -5*q**3 - q + 4. Suppose 21*s + 140 = 35*s. Suppose -5 = 5*v + 5*r, 2*v - 2*r + s - 28 = 0. What is v*m(i) + 3*d(i)?\nAnswer: i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 4*j**2 + 80*j - 30. Is n(-31) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -864854 - -0.016269.\nAnswer: -864853.983731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 245415 (base 6) to base 8\nAnswer: 52723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 2*t**2 + 8*t + 1. Suppose 0 = 3*n + 2*v + 14, n - 12*v + 13*v + 5 = 0. Let y be s(n). Is y greater than or equal to 3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/1 - (-962)\/(-182). Which is the closest to 0? (a) 0.3 (b) -2\/21 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -1. Let r be 1\/2 - t\/(-6). Let d be 2\/(r + 1 + -1). What is the smallest value in 0, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67418727949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**2 - 41 + 66*z**2 + 41*z**2 + 78*z**2 + 254 with respect to z.\nAnswer: 374*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/285000 and 101\/22580?\nAnswer: 321765000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*n + 1\/3*n**3 - 6*n**2 + 0.\nAnswer: n*(n - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1390*k**2 - 4137*k - 60. Give l(-3).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**7\/840 + i**6\/480 + 2*i**2 + 6*i. Factor d(q).\nAnswer: -q**3*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.264552 times 0.002\nAnswer: -0.004529104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m + 785 = 5*w, 0 = 5*m + w - 797. Calculate the remainder when m is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u - 57*u = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6963 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7 = 2*a - 0, 2*a - 5*y = 37. Suppose -a = -s + 2. Suppose s*u + 10 = 3*u, -u + 20 = d. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13 - 3*g - 5*g + 18. Let k(p) = -p + 1. What is a(b) - 6*k(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let z(q) be the second derivative of -4 - q + 5\/12*q**4 + 1\/3*q**3 + 0*q**2. What is -2*d(k) + z(k)?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 8 - (-16 - ((58 - 26) + -7))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -20d8?\nAnswer: 20d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100300)\/(-1239))\/(-85)*12\/5?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.006 - 0.094. Which is the closest to -0.6? (a) s (b) -2\/7 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -183, -368, -563, -774, -1007, -1268, -1563, -1898?\n\"Answer: -g**3 + g**2 - 181*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (164\/8)\/(21\/(-6)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 13 + 8 = 0. Suppose 3*r - 2*r + j - 9 = 0, -4*r - s*j + 33 = 0. What is the remainder when 22 is divided by (0 - 2)\/(2 - 13\/r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55519520.\nAnswer: 2, 5, 7, 19, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15643829, 15643837, 15643845?\nAnswer: 15643853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*c**2 + 38*c**4 + 61*c**2 + (-c**2 + 5*c - 5*c)*(2*c - c**2 - 2*c) + 2*c**4 - 5*c**4 + 5*c**4 + 2*c**4 - 2*c**4 + 2*c**4.\nAnswer: 43*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3402539 kilograms to nanograms.\nAnswer: 340253900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*z + 37 + 221*z - 37.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -86. Sort 4\/5, 3\/2, h, 2\/9 in descending order.\nAnswer: 3\/2, h, 4\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3\/3 + 18*j. Determine g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5 - 17) - (-48 + 33).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617113 is divided by 242.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 546.3 + -573. Let c = -26.70000588 - y. Round c to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 82 + 46 = 0. Let j = -22 - q. Let n be (32\/24)\/(j\/3). Which is the closest to -1\/2? (a) n (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2081 + 452.762?\nAnswer: -1628.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1472.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*w**3 + 4 + w**3 - 2*w**3 wrt w.\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -185, -553, -1087, -1781, -2629, -3625, -4763, -6037?\n\"Answer: j**3 - 89*j**2 - 108*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/5 of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335699, 671928, 1008175, 1344446, 1680747, 2017084, 2353463, 2689890?\nAnswer: 3026371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37261380, 37261382, 37261384?\nAnswer: 37261386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + -133. Let b = -4 - -3.7. Let f = -3 + 3.5. Sort f, h, b in increasing order.\nAnswer: h, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5627, -4076, -1473, 2188, 6913, 12708, 19579, 27532?\n\"Answer: c**3 + 520*c**2 - 16*c - 6132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230622971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17596880.91ns?\nAnswer: 0.000000029095371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 2 - 7 - 7 - 4*p**2 - 22*p**3 + 8 + 1 to the form t*p + z*p**3 + u + b*p**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + 742. Let s be 20\/90 + (a\/1962)\/(-2). Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:47 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.98845+934773\nAnswer: 934776.98845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 9. Suppose -7 = -4*q + 13. Suppose q*l - 6 + 56 = 0. Let b be m(l). What is the highest common divisor of 22 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.861 times 78?\nAnswer: -3343.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkff. Give prob of sequence kf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(-1)\/k))\/k)\/k)**(-14)\/(k**3*k**(-2\/5)))**(-9) assuming k is positive.\nAnswer: k**(747\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 743 and 9673\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonsuhhw. Give prob of sequence sw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 20. Let o = -4 - -11. Let b be (h - o) + (1 - 4). Solve -3*m + 4*p = -p + b, 4*p = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3230 is divided by 1049?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**7\/945 - k**6\/540 - k**5\/270 + k**4\/108 - 10*k**2 + 32*k. Factor o(h).\nAnswer: 2*h*(h - 1)**2*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2898*y**2 + 4*y - 2896*y**2 - 4*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 19088. Let o(r) = 4*r + 6. Calculate o(i(b)).\nAnswer: -8*b - 76346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 55 = -46. Put -2, -5, h, -11 in decreasing order.\nAnswer: h, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 - 6*p - 2. Let w(x) = -x + 7. Let o be w(5). Let l(a) = -a + 3*a**o - 2*a**2 - 11 + 11. Let t be (-28)\/(-6) + 2\/6. What is t*l(b) - c(b)?\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 1 - 66*l - 61*l + 125*l. Let f(w) = -4*w**2 - 9*w + 5. Let u = 14 + -5. Give u*h(p) - 2*f(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-74)\/(-12) + 4\/(-24). Suppose -5*u + 5*n = -835, v*n = 7*n. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 49611 - 49611 + 4*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.028 in -2\/7, 4, -3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13276158 and 22.\nAnswer: 146037738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/5)*r\/(r*(r*r*r\/(r*r\/((r\/r**4)\/r)))\/r)*(r**(2\/5)\/r)**(-30))\/((r*(r\/(r*(r**(2\/3)*r)\/r*r))\/r)\/(r\/(r**(-1\/4)\/r)))**50 assuming r is positive.\nAnswer: r**(6511\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 935667 and 4806.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/1584*-16)\/(-16*(-8)\/(-48))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.954 and -30.736669.\nAnswer: -39.690669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - -193. Suppose 0 = 4*f + 5*i - 484, -2*f - 2*i + l = -i. Suppose 0 = -9*q + f + 163. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-6)\/(-20)). Let d = -2.3 - -9. Let t = d - 7. Which is the nearest to 2\/5? (a) i (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 562 + 1bb9b?\nAnswer: 20541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 4. Let l(r) = -127. Let j(k) = -190. Let f(b) = -2*j(b) + 3*l(b). Determine -5*f(m) - q(m).\nAnswer: -6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/8*1\/10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 - -100.88. Suppose 5*x + 4 = 19. Which is the nearest to m? (a) 2\/9 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 * -0.26\nAnswer: -0.0754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1, 5, -3.\nAnswer: -5, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/10 + 3*s**3\/10 + 213*s**2\/10 + 413*s\/10 + 102\/5 = 0?\nAnswer: -12, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1383*i + 59. Let y(k) = -346*k - 13. What is 2*a(w) + 9*y(w)?\nAnswer: -348*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 - 56. Let v be (-565)\/(-339) - ((-18616)\/6)\/(-4). Let n = v - -986. Calculate the remainder when n is divided by d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + o - 3 = -4*f, 4*f - 3*o - 7 = 0. Let a(g) = -2*g**2 + 5*g + 4. Let u(s) = s**2 - s - 1. Let k(j) = f*a(j) + 4*u(j). Give k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1269943911 + 1269943802.9999967. Let l = -108 - j. Round l to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*c + 42*c - 16*c**2)*(3*c - 15*c - 14*c)*(5 + 3 - 6).\nAnswer: 832*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5, 14, -31, 1 in descending order.\nAnswer: 14, 1, -5, -17, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 128\/(-40)*10\/(-4). Solve 3*z - z - c = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145051 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 90\/(-20)*(-4)\/3. Let g(v) = 31*v**2 + 2. Let p(k) = -15*k**2 - 1. Let y(i) = j*g(i) + 13*p(i). What is the first derivative of y(a) wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 + 3 = 0. Let h be 0 + c - (-1 + -1). Solve -4*g + 4*j + 2 = 10, h = 5*g + 5*j - 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -684 (b) -4 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(2\/27)*y)**(3\/4) assuming y is positive.\nAnswer: y**(79\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1700) - sqrt(1700)*-3*1).\nAnswer: 3 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**35*h*h*h*h)\/h)**(-45) assuming h is positive.\nAnswer: h**(-1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**2 - 213*x - 985. Let t be p(-6). Solve z + 3*n = 5*n - t, 2*n = 2*z + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1987*w**2 + 10 - 4 - 7 - 2*w + 294*w**2 to t*w + o*w**2 + j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 - 4*f**3 - 9*f - 8 - 2*f**2 - 5*f**2. Determine t(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k**3 - 3*k**3 - k**3)*(-13 - 7*k + 3 + 7) to the form s*k**2 + h*k + q*k**4 + b + y*k**3 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103967 is divided by 855?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let h(f) = 91*f + 632. Let z be h(-7). Let n be (9 - 4)*(-4)\/45. Which is the nearest to v? (a) z (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1544032 or -7720161\/5?\nAnswer: -7720161\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -27. Suppose -4*s + v = -0*s. What is the third derivative of -s*c**4 - 4*c**4 - c**2 + 10*c**4 - 2*c**2 wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by -5?\nAnswer: 214\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 658620 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, 0, 0.3, 1, 10\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 6*w + 15*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15742 + 22490. Let h = v + -108015\/16. What is the common denominator of -101\/24 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6610 is divided by 1317.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.106 + 0.006. Let t = -35 - v. Let i = 4 + t. What is i rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-87)\/(-2) - (-4)\/8. Suppose -7*g + z = 4*g. Suppose 2*n - 60 = g*h, -4*n - 3*h + 65 = -0*n. Solve 0*d - n = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(-4*sqrt(10))*4 + -5 - (sqrt(117)\/(sqrt(90)\/sqrt(10)) + -6*3*sqrt(13)))**2.\nAnswer: -160*sqrt(13) + 3353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxvxvxvvxvlv. Give prob of picking 1 v and 1 l.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 56. Factor 2*a + 47 - 64*a**2 + 17 + 0*a**2 + 0*a**3 + m*a**3 - 5*a**3.\nAnswer: -2*(a - 1)*(a + 1)*(a + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 2*s - 3, 0 = 5*x. Let q = 16741\/36 - 465. Let v = 19\/36 - q. Which is the nearest to v? (a) -1\/2 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 791846\/5 = 158370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4443 + -3.9.\nAnswer: -4.3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222 - 154. Let d = n - -379. Let c = 0 + 0. Solve c = -3*o - 2*p + p, d*o = -3*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4969.\nAnswer: 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2*(-6)\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 + 5.81. Let l = r - 18.31. Let a = l + 17.9999997. What is a rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 3\/11 (c) 2 (d) -18\/73 (e) 3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i + 3. Give b(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 1. Let a(c) = 7*c - 18. What is a(l) + 3*x(l)?\nAnswer: 4*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 7*v**2 - 9*v + 3. Let z be i(4). Let b be 10\/z*(-2 + 4 - -61). Suppose -10*a + b = -7*a. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.12, -6.66.\nAnswer: -6.66, 0.12, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 86 - 3571\nAnswer: -3485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 471953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1176.6 - -0.2.\nAnswer: -1176.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 0*s)*(18 + 1 + 38 + 2 + 0 - 1 + 0 + 4 - 2 + (2 - 3 + 3)*(-2 + 2 + 1)).\nAnswer: -62*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 = 3*y - y, 4*v = -2*y - 10. Is ((-63824)\/12)\/(-2)*y\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -8.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 2, v: 1, o: 2, l: 4, j: 3, h: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 481, 2\/201 in decreasing order.\nAnswer: 481, 2\/201, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5148 times -47712\nAnswer: -245621376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 200\/(-130) - ((-24)\/(-10))\/(-6). Put -0.6, -1, h in decreasing order.\nAnswer: h, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 5. Let h(s) = -s. Let u(l) = 6*h(l) - z(l). Let m = 1627 - 1617. Let t(c) = -4*c + 3. Determine m*t(n) - 6*u(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2130*t + 1 = 2128*t, 0 = t + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10832271907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnbnnnb. What is prob of picking 3 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40585, -81178, -121771, -162364, -202957?\n\"Answer: -40593*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose -x*q + 5*a + 16 = 2*a, 0 = -q + 4*a + 13. What is the remainder when 12 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4924668.3 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642 divided by 642.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -11*u**4 + 185*u**3\/2 - 411*u**2\/2 + 20*u + 104 = 0.\nAnswer: -13\/22, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - 12*y**2 - 14*y - 31. Give j(8).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-1\/3)))**(-25))**(-48) assuming k is positive.\nAnswer: k**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 16*w + 29 - 4 - 18. Suppose -3*s + 40 = -2*r, -3*s + 9*r - 4*r + 46 = 0. Calculate the remainder when q(1) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -21\/4, -3\/5, -0.3, -797, -6.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 - 2*a - 10 + 2 + 10*a + 3*a**2. Let l(i) = i - 3. Let c be l(-5). Let h be 122\/14 + -2 - c\/28. What is v(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**3\/3 + z**2 + 30*z. Let q be l(-3). Calculate the greatest common divisor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-222)\/(-8) + (-14)\/(-56) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 855.7 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than -110\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v. Let h be u(-4). Let k be h\/(-70) - 200\/14. Let z be 4\/k + (-4)\/(-14). Solve 5*g + 5*i = 24 + 1, z = -3*g - 2*i + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/8))\/(g\/(g*g**(2\/11))*g*g) assuming g is positive.\nAnswer: g**(-105\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 1, z: 14}. Give prob of sequence kx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4787007101 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 61. Let k = -758 + -309. List the prime factors of k\/n*(-2 + 4\/(-2)).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 881.63885957 and 9.\nAnswer: 890.63885957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035776119 to seven dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.58 - -8.6. Let j = a + -0.02. Let g = 27361\/2 - 13682. What is the smallest value in g, -4, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1010 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184\/212931 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 8\/5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -3 - (-80 - -2 - 4). Suppose 0*k + 27 = 3*i - 3*k, -5*i = 3*k - d. Solve b + 3 = 4*g + i, 9 = -3*b - 2*g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5 (base 12) in base 7?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 5, 0, -78, -4, -2 in descending order.\nAnswer: 5, 0, -2, -4, -29, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 60. Suppose 4*s - 2 - 9 = -b, -4*b + s + 27 = 0. Let r = -2 + b. Are q and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -623 - -617. Does 48 divide (y + -126*(-1)\/5)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m = 0. Suppose -5*v = -3*b - 28, -4*v = 2*b - b - 19. Solve -j = -v*r, j = -m*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433819673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 + (-1170)\/(-54). Suppose a = 3*a - b. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 1622.96991302.\nAnswer: 1622.86991302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 40*n + 68. Let q be a(18). Which is smaller: -9 or q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 + -73. Suppose 0 = 4*g - 2*g - 14. Calculate the highest common factor of b and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, 0.057, 0, -0.5 in ascending order.\nAnswer: -0.5, -0.3, 0, 0.057, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 25 = 10*p. Solve 2*n = 5 + p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/5978526 and -25\/51.\nAnswer: 5978526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -2, 96, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 0 + r + 0*r**3 + 0*r**4 + 1\/10*r**5 + 1\/2*r**2. Differentiate k(q) with respect to q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, o: 14}. Give prob of picking 2 o and 2 n.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -16) + 15 + 4 + 1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1268 = -4*y - 4*m, -4*y + 5*m - 2*m + 1282 = 0. Let u = y + 21. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.036601 < -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let y(a) = -a - 2. What is -i(k) - 3*y(k)?\nAnswer: 4*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54951116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*v = -3. Let k be 4 - v*10 - 4. Let i = k - 8. Solve -3*n - 4 - i = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 7*c**2\/2 - 10*c + 1223. Let l(q) = 4*q - 5. Suppose 4*w - 9 = -0*w + a, 0 = 2*w - 3*a + 3. Calculate w*v(b) - 5*l(b).\nAnswer: b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1482 (base 11) to base 3.\nAnswer: -2121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, 20, 72, 146, 242?\n\"Answer: 11*m**2 - 3*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 8*y - 25, -17 = s - 5*y. What is the greatest common factor of s and 864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**4 + 106782*w**3 - 4809240*w**2 + 72158850*w - 360844875 = 0.\nAnswer: -35639, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -511522 + 42?\nAnswer: -511440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 94379961 a multiple of 1075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, c: 3}. What is prob of sequence dccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -236506 (base 7) to base 14\nAnswer: -11a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*v**4 - 865210*v**3 + 96491310.\nAnswer: -32*v**3 - 2595630*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504220 divided by 4?\nAnswer: 626055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 637.36 to the nearest 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 - (-7)\/4. Suppose 16 = y*b + 6. Is b > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/775 and -13\/50.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -636, -369, 532, 2385, 5508, 10219?\nAnswer: 16836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5499605 to the nearest integer?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 22*u**4 + 12*u - 27*u + 1 + 6*u + 2*u**2 to the form i*u**2 + x + k*u + v*u**4 + m*u**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 12 - 15)\/1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*j - 15. What is the second derivative of -23*d - 668*d**3 + 3*d + 695*d**j wrt d?\nAnswer: 162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 128. Is d a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 2.91579\nAnswer: -34.08421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(10\/(-14)) - -13. What is the greatest common divisor of m and 1040?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/19 + (-4 - (-1 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 14. Let f be (3 - 0)*(24\/(-8) - -2). Calculate the remainder when ((-26)\/(-6) - f)\/((-1)\/(-3)) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1576.978 to the nearest 10.\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/6*(405\/(-63))\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(6\/7)*z**(2\/47)\/z assuming z is positive.\nAnswer: z**(296\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 10. What is the units digit of v(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -432*d**4 - 31*d**4 + 802*d**4 + (-5*d**4 + 9*d**4 - d**4)*(-1 + 4 - 4) as q*d + r*d**3 + p*d**4 + t*d**2 + c and give p.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Let c(n) = u*n**3 - 5*n**3 + 2*n - n - 2*n**2 - 2. Let i be c(-2). Solve -2*s = -0*q + 3*q + 3, -4*q - 5*s = i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9397657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 708679758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 899 and 12.19.\nAnswer: 911.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 66*l + 3144. Determine p(98).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0.1. Let i = c - -0.1. Which is smaller: i or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(0 + (-2)\/6). Let x(l) = 2*l + l - i*l - l. Let a(t) be the second derivative of -t**4\/4 - 6*t. Give a(x(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, 1 y, and 1 t when four letters picked without replacement from {j: 1, y: 2, k: 1, q: 3, p: 1, t: 5}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Let j = -192 + 1346\/7. What is the second smallest value in j, l, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346 divided by 45.\nAnswer: -346\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -3625?\nAnswer: -3625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*q + 32 = 0, 88*j - 83*j = 3*q - 45. Let v(x) = 9*x - 2. Let y(z) = -26*z + 5. Calculate j*y(g) - 17*v(g).\nAnswer: 3*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64984 and 11?\nAnswer: 714824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 166597139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -242, -361, -480?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.4127 centuries in decades?\nAnswer: 2474.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1 - -5)\/(-2))\/(-1). Let j = 10 + -4. Suppose -p + 2*p = -y + j, 18 = 5*p + y. Solve z*m = p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10450*q - 162823 = 87977 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8549944300 to the nearest 1000000.\nAnswer: -8550000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-64*a**3 - 18*a**3 - 14*a**3) to w + u*a**3 + g*a + m*a**2 and give u.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2270, -4072, -5874, -7676, -9478?\nAnswer: -11280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyz when three letters picked without replacement from {u: 1, y: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/950 and -12\/1615.\nAnswer: 16150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2154124 (base 7) to base 12.\nAnswer: -109811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57983899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 2*a**2 + 236201*a**3 - 236199*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 21. Suppose -5*g + 2*n + 155 = 5*n, -w*g + 141 = -n. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.86 - 42.86. Which is the smallest value? (a) -0.4 (b) u (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12))\/((3402\/(-28))\/(-27))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 3*v**2 - 4*v - 2. Let m be (-6496)\/(-364) - (-2)\/13. Calculate the smallest common multiple of i(-3) and (17 - m)*(-21 - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 4*a**2 + 7*a - 1. Let y = 5313 - 5311. Let i(u) = u. Give y*j(c) - 14*i(c).\nAnswer: -2*c**3 - 8*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/((8\/10)\/(-2*(-3)\/(-15)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u + 5. Let f be h(5). Suppose -35 = -3*n + f. Calculate the highest common divisor of 160 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.5326 equal to 0.2291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*a**2*b**2*z + 2*a**2*b**2 + a*b*k*z + 3*b**2*k + 13*b**2 - b*k*z wrt a?\nAnswer: 10*a*b**2*z + 4*a*b**2 + b*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21643720 rounded to the nearest one hundred thousand?\nAnswer: 21600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*k - 17, -5*y - k - 35 = -6*k. Let v = 4 + y. Put 1, 0, v in descending order.\nAnswer: v, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:32 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5470957.237 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**6 - 199*u**5 + 495*u**2?\nAnswer: -120*u**3 - 11940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*j - 595*j - 594*j - 599*j + 2418*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (3 - (-5 - -7) - 3) + 16.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**3 - 10*v**2 + 3*v + 3. Let d(x) = -9*x**3 - 20*x**2 + 7*x + 7. Calculate -3*d(j) + 7*i(j).\nAnswer: -j**3 - 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 9*m - 7. Let h be w(-6). Let k be 6\/(-9) + (-5)\/(-3). Let r(i) = 12*i + k - 2 - 11*i. Let x(o) = 2*o - 2. Determine h*r(s) - 6*x(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -323 + 344. Calculate the least common multiple of q and 77.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9654, 38627, 86892, 154431, 241226, 347259, 472512, 616967?\nAnswer: 780606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -662241 + 0.1?\nAnswer: -662240.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -7*j**6\/10 + 33*j**5\/20 + 3*j**4\/4 - 11*j**3\/2 + 6*j**2 + 10*j. Suppose f(v) = 0. Calculate v.\nAnswer: -1, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -282154*r**2 - 4*r + 2867460 wrt r?\nAnswer: -564308*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12*2*6*2. Let w be -3 - (r\/4)\/(12\/(-16)). What is the third biggest value in w, 1\/4, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410463549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18973534.\nAnswer: 2, 1523, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -40*g - 14. Calculate y(-4).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -4*z - 5*s, z + 0*z - 2*s = 24. Suppose 3*p + 4*w - z = 0, 4*w = -5*p + 17 + 43. Calculate the highest common factor of p and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186, 901, 2724, 5289, 8602, 12669, 17496, 23089?\n\"Answer: d**3 + 362*d**2 - 6*d - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -282 + 5*c**2 + 137 + 139 as h + l*c**2 + o*c and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 80. Let z(m) = 5*m - 398. Let s(a) = -11*n(a) + 2*z(a). What is the tens digit of s(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/27409974 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by -64?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 719006 and 846.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*k - 9. Let b = 5 + -6. Let g be -4*((-5)\/(-4))\/b. Solve -j - 16 = -g*h, -4*h + k + 2 = -2*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, -31, 0, -5, -3, -17 in decreasing order.\nAnswer: 22, 3, 0, -3, -5, -17, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 198212015 + -115670147. Suppose 4*h - a = -2941868. What is h rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15312.06 to the nearest 10.\nAnswer: -15310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 274764474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5056708 is divided by 147?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -149, -156, -167?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n. Suppose 6*h - 5*h - 5 = n. What is the smallest common multiple of 2 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 38. Which is the biggest value? (a) -2 (b) j (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87324 and 116432?\nAnswer: 349296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676 divided by -4?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -594160668.3999391 + 594159492.4. Let l = 1745 + -569. Let m = l + j. Round m to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 2:24 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17493391 to the power of 1\/2, to the nearest integer?\nAnswer: 4183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 49, 31, -23, -125, -287?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - 3*f + 0*f)*(f**3 - f**3 + f**3 + (12*f**2 - 28*f**2 - 149*f**2)*(2*f - 2*f + f)) to the form k*f**2 + m*f**3 + a + h*f + i*f**4 and give i.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2897787.93 times -0.5\nAnswer: 1448893.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**5\/20 + s**3\/6 - 5*s**2 + 67*s - 2. Give u(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-8)\/(-2))*-4*3946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/198 and 39\/1496.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 13*n**2 - 26*n - 3. Let k be c(9). Let b = k + -787\/9. Sort 6, b, -1.2 in descending order.\nAnswer: 6, b, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2365336 and 39955.\nAnswer: 11826680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1154\/7501)\/(14\/(-26))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*o - 5 + 4*o**3 + o**3 - 473*o + 152*o + 133*o + 2*o**2 to y + k*o + u*o**3 + s*o**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/3311 and -127\/2838.\nAnswer: 19866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 + 950*k\/11 - 4200.\nAnswer: -2*(k - 420)*(k - 55)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-771)\/(-51) + -29*340\/986\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i**2 + 5*i + 5. Let f(h) = 18*h**2 - 12*h - 12. Calculate -5*f(n) - 12*j(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/7 - 72*n**2\/7 + 44*n\/7 + 408\/7.\nAnswer: 4*(n - 17)*(n - 3)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25501.935104 and 4.\nAnswer: 25505.935104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t**3 + t**2 - 1. Let c be o(1). Let h = 50 + -50. Suppose h = 4*x - c + 4. Solve 4*g + 3 = -x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Suppose 4*i - 206 = -2*b, -l + 0 = -b. What is the remainder when i is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182686496*c**2*h - 399932738*c**2 wrt h.\nAnswer: 182686496*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 2. Let m(z) = -2*z + 4 - 10*z + 6*z. What is -11*a(k) - 6*m(k)?\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*g**2 + 21*g**2 + 18*g**2 as o*g**2 + i*g + v and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/8)\/(-3) - 11\/44. Let g be (-1)\/((-3)\/((-54)\/r)). Let s be ((-8)\/g)\/((-26)\/117). Let k(d) = -3*d**3 + 3*d - 1. What is k(s)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22584 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**30*(w*(w\/w**14)\/w*w)\/w assuming w is positive.\nAnswer: w**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - y - 12 = 0, -2*u - 5*y = -u - 18. Suppose 4*s + 1004 = u*h, 2*h = 2*s - 94 + 764. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1488900633 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f + 125. Let i be h(-13). Suppose 4*z + 34 = 646. What is the remainder when z is divided by (78\/i)\/((-48)\/80)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/(27\/(-21)) - 116\/48 and -47\/292.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.7, -3, -0.08, 0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -557*l**3*w**4 + 2*l**3 - 25*l**2*m + 22885*l**2 + 2337*l*m*w**2 wrt w.\nAnswer: -2228*l**3*w**3 + 4674*l*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 10*q + 22. Let c(i) = 8*i**2 + 11*i - 25. Let u be c(3). Suppose -m - u = 9*m. Calculate the least common multiple of k(m) and 14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by -46\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4 - 1)*25\/(-150)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -4.32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -10\/33693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2501 - -27\nAnswer: 27.2501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -153*v**4\/8 - 5*v**3\/3 - 6*v**2. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 4. Does 12 divide z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 4*b + 7, -3*b + 35 = 5*c. Let d(y) = y**3 + 18*y**2 + 13*y - 19. Let h be d(-17). What is the greatest common divisor of h and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = 5*i, -1 + 5 = 3*u + i. Suppose -2*h = 3*f - 59, -4*h - u*f + 109 = -5*f. Calculate the greatest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 1977 = 4850. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-7 - 20) - (-35 + -3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15385004 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1029\/9)\/(23\/(-3)). Let n = i - -705\/46. Let l = n + 2\/23. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 437 + -256. Let z = p + -124. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2133 + -4267\/2. Put -4, p, 1\/103, 0 in increasing order.\nAnswer: -4, p, 0, 1\/103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 25729*s + 180219. Calculate b(-7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 10397328?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 9*z + 3. Suppose 0*u + u - 4*p = 1, 0 = u - 5*p + 1. Let o be f(u). Solve 0*a - o*a = 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3 + 6 - 19*x - x**2 + 2. What are the prime factors of o(-16)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvv when three letters picked without replacement from vwvv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.042 - 4.958. Let m = -7 + 6.95. Which is the nearest to m? (a) o (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 154 = 2*c - 158, -6 = 2*c + 4*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1845699l to millilitres.\nAnswer: 184.5699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -241 - -241.5. Let f = 612 - 608.97. Let p = -0.03 + f. What is the biggest value in p, n, -0.02?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367452.\nAnswer: 2, 3, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-4)*(-700)\/(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1157\/1440 - 1\/288. Let y = 2\/55 + 104\/165. Let h = -0.4 - -0.4. Which is the nearest to 0.1? (a) y (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 35*d**2. Let s = 34 + -32. Let i(v) = 580*v**2 + 573*v**s - 1155*v**2. Give i(l(w)).\nAnswer: -2450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/26 != -0.035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 9999028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000113815 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17953 - 7892. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19932?\nAnswer: 2, 3, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, -14 in descending order.\nAnswer: 4, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476354 divided by -43.\nAnswer: 11078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i**2 + 49*i**2 + 3*i**2 - 547*i**3 - 5 - 3*i**2.\nAnswer: -547*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.9 + -22. Let r = 0.003 - -1.997. Sort r, 1\/5, d.\nAnswer: d, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - k + 3 = 24, -4*k + 8 = -3*v. Let t = 1 - 2. Let d = t - -2. Is d smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34942181 is divided by 60?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11100001 (base 2) to base 12\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)*-1 + (6*(sqrt(121)*-2 + sqrt(121) - sqrt(121)) - sqrt(121)) + sqrt(121))\/((-1*-1*sqrt(55))\/((-1*sqrt(20))\/sqrt(4))).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -23. Let o = i - 321\/11. What is the closest to -0.1 in o, 1, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-245)\/60)\/(9\/(-24)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.972 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5090, -2\/23 in descending order.\nAnswer: 5090, -2\/23, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 9\/16 (b) -0.095 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 2, c: 2, q: 2, e: 1, w: 1}. What is prob of sequence cnq?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*w - 3 = 3 + 3, -2*w - 27 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*y + 3*y + 138 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101133312 (base 4) to base 11.\nAnswer: -49935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -224\/35239 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41942 - 41900. Calculate the lowest common multiple of s and 1491.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 24*f + 19. Let x(r) = -2*r**2 - 47*r - 38. Let i(h) = 10*g(h) + 6*x(h). Let b be i(-20). Solve b*d - 5*o - 29 = -0*o, d - o = 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(-2\/11)*w)\/w))**(-21)\/(w**9\/w*w*w*w*w**(1\/21)\/w) assuming w is positive.\nAnswer: w**(-8054\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/4)\/(50\/(-8700)*-87).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -202, -399, -602, -811, -1026, -1247?\n\"Answer: -3*y**2 - 188*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 20 = d - 2*a, 4*a - 8 = 0. Let k(c) = -4*c + 10. List the prime factors of k(d).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2 - 2030712*x - 343649268912 = 0.\nAnswer: -338452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -340 - 124. Let w = -273 - -253. What are the prime factors of (-16)\/w + i\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -0.12?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3863 minus 927?\nAnswer: -4790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 863274.78 minutes in days?\nAnswer: 599.496375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/11 - 28*g**2\/11 - 14*g\/11 + 156\/11 = 0. Calculate g.\nAnswer: -13, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*h + 6*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 757520 rounded to the nearest one thousand?\nAnswer: 758000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-6 - (11 + -6 - 5)) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40124, 40088, 40052?\nAnswer: 40016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.0081 + -1. Round u to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:13 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -5*r**4 + 4*r**3 - 2*r**2 + 4*r**4 - 2*r**2 - 3 + 7. Determine q so that p(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.3 or -4\/10501?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -35849\/2599?\nAnswer: -35849\/2599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5 + 12*h**4 - 52*h**3 - 188*h**2 - 192*h - 64 = 0. Calculate h.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92862258 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 139647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 4*x + 8*u + 35, -2*u + 27 + 3 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/5 = 60\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-34651.\nAnswer: 13860.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-33))\/(3\/6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(1 + (-7)\/5). Let d = 64 - 68. Let v be ((-2 - d) + 6\/(-2))*-2. Solve -i*c - 4*g = 13, 5 = -v*c - 2*c - 5*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 6*a - 1. Let u be h(6). Let j be (u\/2 - -1)*0. Let d = 0 + j. Solve 2*z - 6 = -d*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50035 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*a = -124*a + 30 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-120)\/5*((-33)\/(-9) + -5). Let j be (-1)\/(3\/(-2) + 1). Solve j*v - 4*o + 28 = -0*v, -3*v = -4*o + u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - -1 - 84) + 88?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7735\/6388 - -50647093\/43055120. Let d = 1\/337 - m. What is the common denominator of d and -3\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19208*g + 1 - 1 - 692*g.\nAnswer: -19900*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 327251501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*255\/(-270)*((-8)\/28)\/1.\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 434537 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z**(-9\/4)*z)*z)\/z)\/((z*z\/(z*z\/z**15*z*z))\/z*z))\/(z**(-1\/2))**(-46))**(-1\/36) assuming z is positive.\nAnswer: z**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55820, -55807, -55784, -55745, -55684, -55595?\nAnswer: -55472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 8*r**2 - 7*r - 1. Let a be k(9). Let d be (0 + (-1 - -1))\/(-2). Suppose -a + d = -y. Solve -2*t + 3*w + y = 0, -17 - 10 = -2*t + 5*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Let t be (-3 - 0)\/(9\/(-12)). Suppose -c - t = -4*j. Solve j*i + 2*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d - 6. Let m(k) = -k**2 - 7*k - 7. Let x(v) = -3*m(v) + 4*n(v). Is 5 a factor of x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -1) + -6 - (23 + -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 3*x - 2. Let m be y(3). Let k = 23 - m. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22003.010907 - 22003. Let l = 0.0107 - c. What is l rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1000\/(-5310) - 10\/295) + ((-3185)\/9)\/5.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -164475, -164477, -164479, -164481?\n\"Answer: -2*z - 164473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/5 + 104*n**2\/5 + 66*n - 30492\/5 = 0.\nAnswer: -33, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 36*o - 92 = 0. Let b = 42 - 36. Suppose 31 = -2*g + b*g - 5*s, -4*g = -4*s - 28. Solve -4*x - 5*y - g = -o*y, 3*x - y + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -68. Solve 0 = -4*j + w + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.109 - -30.709. Let p = o + -22.6. What is the nearest to -2 in -2, p, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -222874?\nAnswer: 222883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25472981 and 10815670?\nAnswer: 36288651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*a - 2*k + 10, -4*k + 12 = 2*a. Let u = -198 + 200. Suppose -a*p + 100 = u*p. Solve -4*v - v - p = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**8\/20160 + p**7\/2520 - p**5\/90 - 13*p**4\/24 + 27*p**2. Let i(s) be the second derivative of q(s). Factor i(g).\nAnswer: -(g - 2)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1107 + 1109.782. What is s rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 12) + (-54 - -52).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*-1)\/(2\/(-2 + -6)). Let b be 2\/i + 1*26\/24. What is f in 1 + 1\/3*f**2 - b*f = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 19. Suppose -4 = -5*y - 4*u + 3, -3*u = -4*y + 18. What is the smallest common multiple of y and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2 - (2 + -1)). Suppose b*k + 2 = k. Solve -5*p = k*d - 25, -4*p + 3*d - 6 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 50.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*12\/9*21\/28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 19 + -24 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in 5, 2, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + 6 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 876*s**2 + 4*s + 4. Let z be u(-2). What is z rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -5*n - 26, -2*v - 8 = 5*n + 2*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnunnnununu. Give prob of sequence nnu.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/337676 and 107\/33292?\nAnswer: 2363732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 10*o**2 + 23*o**2 - 14*o**2 as g*o + a*o**2 + d and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {m: 3, i: 6, g: 2, l: 1, s: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 m when four letters picked without replacement from {l: 4, m: 7, j: 5}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*j + 1447 = -833 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8873 = 18*d + 3131. List the prime factors of d.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 2*r. Let t be o(-2). Suppose -9 = -2*i - 1. Suppose -i*b - b + 4*a + 16 = t, 5*b = 3*a + 17. Solve b*n + 6 = -14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 636705?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 961657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/5*(-4)\/(-16). Let l = 32559 - 162792\/5. What is the closest to l in -5\/4, -1, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66329\/9610 - -2\/961. What is the common denominator of (60 + -15)\/15 + -2 + (-814)\/1068 and v?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - sqrt(567)*1) + sqrt(567)\/sqrt(9) + ((sqrt(21)\/sqrt(3))**2 + 0)*5.\nAnswer: 3*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3 - 8) + (7 - -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = -q + 494, -q + 4*u + 526 = 0. List the prime factors of q.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -286 and -20170067360.\nAnswer: -20170067646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 - 287 + 189*n**3.\nAnswer: 189*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39032015?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7)*y*y**(-9)*y)\/((y\/((y*y\/((y**(2\/9)\/y*y)\/y)*y*y*y)\/y)*y)\/y*y*y**(3\/4)*y*y*y) assuming y is positive.\nAnswer: y**(-1901\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = 14. Suppose 4*t - i = 2*b, 3*b = 4*b + 2*t - 2. Suppose -v - 3 + 21 = b. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2403701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*a + a**2 + 8*a**4 - 2*a**2 - 11*a**4 + (-19*a**2 - 92*a + 92*a)*(0*a**2 + 3*a**2 + a**2)*(4 + 2 - 4).\nAnswer: -155*a**4 - a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.71 and 0.2.\nAnswer: -0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7982.6826 and 8?\nAnswer: 7990.6826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*w**2 + 54*w**2 + 430*w**2.\nAnswer: 946*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31248271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 274035 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 9:21 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -8 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993579.6 months to centuries.\nAnswer: 827.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.36 - -7.6. What is q rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12848251 rounded to four dps?\nAnswer: -0.1285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)\/(w\/(w*w\/(w*w**(2\/7)\/w*w)))*w*w\/(w\/w**(-2))*w*w**(-3))**(38\/7) assuming w is positive.\nAnswer: w**(-3572\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 29*c - 14)*(-2*c + c + 3*c) to the form b + w*c**2 + o*c and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2198 + 153. Is (-48)\/16*d\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*d - g, 2*d + 5*g - 18 = 7*g. Solve 2*b - 4*b - d*c + 20 = 0, 2*b + 4*c = 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20590 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 8*w**2 + 4*w - 12. Let h(f) = 2*f**3 + f**2 - f - 4. Calculate the smallest common multiple of c(8) and h(2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 2, m: 2, q: 1, t: 1}. Give prob of sequence dqzd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3848 and 320?\nAnswer: 153920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*(2 - 6 + 3)*(-2*o**2 + o**2 + 11*o**2).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01457 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Let x = q - 6. What are the prime factors of 1*(x + 3 - -21)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/795559722 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 129\/18) + -6*9\/756*7.\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-42) + 16\/14)*7. Is ((-15)\/p)\/((-2)\/2348) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18101352 >= 18101354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17175 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1319 = 539. What is the highest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-15 - (-5 - -3)). Calculate the highest common divisor of 80 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 184. Let g be a(35). Suppose -3*r = -j + 26, 5*j - g = -0*j - r. Calculate the remainder when 2*65\/2 + 0 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*g - 7*o + 48 = -143*g, 2*g - 2*o + 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -60. What is the nearest to -2 in -3, v, 0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-5 + -66 + (-6 - -2))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + 4*r)*(-123*r + 384*r + 165*r)*(-2 + 1 - 1).\nAnswer: -1704*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -354.5184 rounded to one dp?\nAnswer: -354.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -17. Suppose -b = -18 - r. Solve -6*u + 4*u = -2*o - 2, 3*o + b = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1473 and -123\/20.\nAnswer: 29460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 10. Let c be x(-10). Suppose -5*k + 6*k = c. Let y(v) = -v**3 + v**2 + v + 1. Give y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5460149 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/30 + 7*y**4\/24 + 7*y**3\/6 - 4*y**2. Let r(w) = 0*w**2 - 3 + w**2 - 1 - 4*w. Give -4*j(c) - 7*r(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 2*n - 2. Let l be t(-3). Let y = l - 15. What is the units digit of (-8 - 2)*y\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:45 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459)*6)\/(sqrt(300)*-1 + sqrt(300) + sqrt(3)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 0, -g - 25 = -22*y + 27*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 2:39 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 28. Let d be 6\/(-5)*15\/g. Let y = 40 - 4. What is the highest common divisor of y and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 80374.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/6120920 and 74\/20735?\nAnswer: 1952573480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 6) to base 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-342)\/(-931))\/((-249)\/(-4648))\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6)\/54*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1, 2.\nAnswer: -29, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppwppppwp. What is prob of sequence wppw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 0\/(-1))\/((-2)\/1). What is the third derivative of -3*g**2 + 5*g**2 - 4*g**c - 15*g**2 + 8*g**4 wrt g?\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*n**3*x - 121666*n*x - 8*n + 4*x - 101284754 wrt n?\nAnswer: -105*n**2*x - 121666*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 3*v - 4. Let s be k(-4). Let r = 10 + s. Solve 2*c + r*h = -c - 9, 2*h + 5 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 6:36 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3823443432 to the nearest integer?\nAnswer: 61834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**3 + 11*j**3 - 9*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4161 - 29362\/7. Let f = -111\/14 + p. Find the common denominator of -103\/10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2119, -2, 2, -140 in ascending order.\nAnswer: -140, -4, -2, 2, 2119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y + 1. Let g(h) = -4*h**3 + 7*h**2 - h - 1. Let w(c) = -g(c) - s(c). What is the third derivative of w(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 11 = 2*o + 18, -3*o = 2*x + 17. Let u(b) = 5*b - 7. Give u(o).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (125*g - 308*g + 106*g)*(-1 + 1 - 3) as k*g + l and give k.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*s + 67. Suppose -7*w = w - s. Solve 4*p + w*z - 2 = -21, 2*p - 13 = 3*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 821*s**2 + 65*s - 290. Is 73 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.946 + -0.054. Let z = n + -51. Let g = z + 56.8. Which is the fourth smallest value? (a) 3\/2 (b) 0 (c) -4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25226 - 23339 = -111*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2045160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Which is the closest to p? (a) 1\/3 (b) -2\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13198 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + 10 + -4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = 7 + 1. Put 3, -20, j in increasing order.\nAnswer: -20, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/11)\/w**(2\/11))\/((w**(-2\/7)*w)\/w**(-1)) assuming w is positive.\nAnswer: w**(-153\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = -16. Let w be 12\/15*2\/((-4)\/j). Let s be (w*2\/(-8))\/(10\/60). Solve 5*l = s*f + 11, -2*l = 5*f + 5 + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2687, -5386, -8117, -10898, -13747, -16682?\nAnswer: -19721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*a - 2*a - 4*y, -5*a - 5 = -2*y. Suppose 2*w + 4*c = -2, 5*c + 1 = -3*w - a. Let t be (-8)\/(-5) - (w + 1). Sort -4, t, 0.2.\nAnswer: -4, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyxy. What is prob of sequence xx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56726353189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5866957.\nAnswer: 5866957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 1 + 1 - 4*r + 0*r - r + (1 + 3 - 3)*(4*r + 0*r - 5*r) - 1 - 2*r + 1)*(-10*r + 3*r + r) to p*r + l + v*r**2 and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*x - 108 = x, -5*x + 175 = 5*v. Let r = v + -2. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74, 379, 880, 1553, 2374?\n\"Answer: -4*j**3 + 122*j**2 - 33*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464867?\nAnswer: 13, 35759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41439 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 7*r + 9. Let p(i) = 3*i**2 - 3*i - 4. Determine -9*p(m) - 4*t(m).\nAnswer: -7*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(117) - -1*sqrt(117)))\/(sqrt(1296)*1)*-1.\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.84 - -0.16. Put z, -0.4, -0.3 in decreasing order.\nAnswer: z, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -398568*c**3*v**4 - 390*c**3*v**2 + 5986*c**3*v + 6893*c**3 - 2*c - 2*v wrt v.\nAnswer: -4782816*c**3*v**2 - 780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98242463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*o**2 + 13\/3*o + 16 = 0. What is o?\nAnswer: -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 29, -19\/154 in increasing order.\nAnswer: -1, -19\/154, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 22*t**2 + 15*t + 21. Is s(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 50268\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 5:58 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j + 44*j - 43*j - 5610. Suppose 328 = -p - p. Let t = j + p. Does 42 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1773044 divided by 14.\nAnswer: 126646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 8 = k, -5*k - 16 = -u + 3*u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -14*j**3 - 7388*j**2 - 12616*j + 4208 = 0.\nAnswer: -526, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c9bd3 (base 14) to base 12.\nAnswer: 4157b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, n: 6}. Give prob of sequence zznn.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 14. Solve -35 + z = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13890491.\nAnswer: 79, 175829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/6)\/p)\/p*p**27*(p\/(p*p*p*p**(-13\/2)*p))**(-1))**(-37) assuming p is positive.\nAnswer: p**(-2368\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 722 and 40071.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168267915?\nAnswer: 5, 19, 12297557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603064?\nAnswer: 2, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*350\/(-200)*6\/7. Solve 939*k - i = 936*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 5*j + 4*z - 7, 0 = -2*j + 5*z + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let r be z(0). Let w be (-1)\/(2\/4 - r). Let d = w - -9. Solve v - d = 3*v + g, 4*v - 5*g = -7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 5*p**4\/24 + p**3\/6 - p**2. Let s be j(1). Does 19 divide 118\/s - (-4)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.85 - 1.2. Let u = -0.25 - -0.3. Let w = g + u. What is the biggest value in 4, -5, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1732, 1716, 1666, 1564, 1392, 1132, 766, 276?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**7\/14 + j**6\/5 - j**4\/2 + j**3\/2 + 49*j + 21. Let v(k) be the first derivative of g(k). Determine b, given that v(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/75*(-120)\/(-48)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -61, -7, 89, 227?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303 divided by 101.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 322\/(-63) + (-100)\/(-90)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6550164 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 + -273. Sort g, -1\/2, -0.1, -5 in descending order.\nAnswer: -0.1, -1\/2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/5)*x*x*x**(-13))\/((x*(x**(2\/7)\/x)\/x)\/x)**(3\/7) assuming x is positive.\nAnswer: x**(-2221\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12167, 12237, 12225, 12131, 11955?\n\"Answer: -41*u**2 + 193*u + 12015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 16) to base 3.\nAnswer: 101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -400676912*b - 923905027?\nAnswer: -400676912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**2 + 6444*o - 6448 = 0.\nAnswer: -1612, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65865 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by 6\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-13338)\/(-111605) + 3\/(-30) and -3\/136.\nAnswer: 13736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 91*i - 13*i - 23 - 80*i. What is v(6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 6*i**2 - 10*i + 29. Let t = -98 - -103. Let d be g(t). Suppose -4*f - l + 529 = 0, -d*l - 138 - 122 = -2*f. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, j: 4, u: 4}. What is prob of picking 2 g and 2 u?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/11 (b) 0 (c) 1\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (13 - 9)) + (2 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/55 + -69\/385. Let t be (-280)\/126*4\/((-8)\/(-3)). Let z = t - -128\/33. Which is the closest to 2? (a) k (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 22.2. Let s = -5.08 - -0.08. Sort s, 6, w in increasing order.\nAnswer: s, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512964 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 6. Let t(a) = -a**3 - 4*a**2 + 4*a - 2. Let k be t(n). Put -3, -1, 2, k in ascending order.\nAnswer: -3, -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 10*j - 396 = 0. What are the prime factors of (j\/(-2))\/((-1)\/2*-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 11*i**2 - 3*i + 16. Let j be q(11). Let t = j - -19. Solve -y + t = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 18, h: 2}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*g + 26 - 194. What is the smallest common multiple of 470 and g?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7824 to the nearest one hundred.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2. Let u(r) = r**2 + 6*r + 2. Let y be u(-4). Let q(n) = n + 2*n - 11 - 10*n. Let m(v) = 4*v + 6. Let i(b) = y*q(b) - 11*m(b). What is a(i(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 94\/4)\/((-12)\/16). Suppose -5*s + c = -4*t, -5*s + s - 5*t = -19. List the prime factors of 24\/s - (-35 + 2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.09199792 rounded to one dp?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -8. Suppose x*p = 2*p + 68. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 141*g - 335. Give w(68).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.94 - -16. Let z be (3\/(-6))\/(4\/(-8)). Let u be -11*4\/24 + z\/3. Which is the nearest to 2\/3? (a) y (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**2\/2 + 1. Let r(j) = -4*j. Let v(t) = -10*l(t) + 3*r(t). Let u(z) = -7*z**2. Determine v(u(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.37. Let p = 0.03 + h. Which is the third smallest value? (a) 2\/11 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.2 (c) -2 (d) -0.5 (e) 16.67 (f) 0 (g) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 58 = -1174. Suppose -131*k + 135*k - h = 0. Let g = 35 + -19. Calculate the lowest common multiple of g and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 4*k - 4. Let p(t) = -t + 1. Let j(a) = -n(a) - 4*p(a). Let c(m) be the first derivative of m**2 + 1. Determine c(j(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1 - 5432*m**2.\nAnswer: -5432*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 0, j - 12*p = -7*p - 4. Sort -1, -5, j, 0 in increasing order.\nAnswer: -5, j, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -115\/7 (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189249289 to the nearest integer?\nAnswer: 13757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2. Let y(h) = -351*h. What is z(y(o))?\nAnswer: 369603*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -536 - -535.6111. Let s = w + -0.0111. What is the second smallest value in 0.05, s, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*g + 4 = -2*b, 5*g = -3*b + 6. Suppose 3*w - 6 = b*w. Solve -2*m - w = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -3*m + 2*p, -4*m = 4*p - 53 - 63. Suppose -165 - 123 = -36*j. Calculate the highest common divisor of j and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2457))\/((-1696)\/(-1767984)). Let n = g - -4\/1113. What is the common denominator of n and 59\/7?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79676490 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -26*p**2 + 153*p + 13. Let w be u(6). Which is the fourth biggest value? (a) w (b) -32 (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876317899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.33 - -1.03. Suppose 10 = -2*r, 0 = -4*h - r - 223 + 78. Let s = h - -39. Which is the nearest to 1\/4? (a) s (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -611*x + 614*x - 5*p, p = -2*x - 3*p - 8 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 h when four letters picked without replacement from hhhhhhhhkhkhkh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2187*h - 1210*h - 225036 = -1702*h for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {u: 2, f: 1, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from cjcja?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 44. What are the prime factors of q(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 7*l - 66. Calculate the greatest common divisor of 44 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161907 by 3.\nAnswer: 53969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -18*z. Let p(i) = 163*i**2. Determine c(p(y)).\nAnswer: -2934*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 0, -3*c + 29 = 4*t - 55. Suppose -c = 3*b + 5*x, 4*b - 5*x - 3 - 18 = 0. Let p be (4 - b)*(-5)\/(-5). Solve p*g + 8 = 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1503 + -2?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 35 + 55. Let w be 1*(1 - 3 - v). Let i(o) = 2*o - 8. Let j be i(w). What is the highest common factor of j and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74*198.02\nAnswer: 14653.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 6960, -5 in decreasing order.\nAnswer: 6960, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(9\/10))\/(h*h\/(h*h**(1\/6))))\/((h*h**9)\/h**31) assuming h is positive.\nAnswer: h**(319\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 3 - 3)*(n - 7*n + 14*n) + (2*n + 0*n - 9*n)*(0*n - 2*n + 0*n) to the form w*n**2 + r + u*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + x**3 + 299 - 2*x - 299 - x**2 + x**2. Let t = -414 - -417. Determine s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 1\/10*d**2 + 1\/5*d - 1\/20*d**4 + 4 - 1\/15*d**3. Factor r(j).\nAnswer: -(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 + d - d)*(1028*d + 6926*d - 616*d - 2745*d + 5 - d**2) to y*d + l + t*d**2 + n*d**3 + o*d**4 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17940 and 23460.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7 + d - 3*d + 6*d. Suppose -v - 9 = -14. Let h be f(v). Solve -3*g - h = -1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (6\/9)\/((-10)\/75). Put 6, 2, -1, w in descending order.\nAnswer: 6, 2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**3 - 6*q**2 - 11*q**3 - q**4 + 21*q**3 + q**2 + 2*q**2 + 14 in the form x*q**3 + t*q**4 + b*q + c*q**2 + p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202 - -207. Suppose -1 = r - 4*u - 5, -u = -2*r + 15. Suppose -2*j - 2*j = -r. Calculate the remainder when n is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -75\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/5, 61, -0.3?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 17}. Give prob of sequence gg.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3 - 17 = -5*s, -l - 10 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29668237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210199098 and 17128.\nAnswer: 4282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k**2 - 6*k - 2*k**4 + 9*k - k - k**4 + 2 + k**4 + k**3 in the form h*k**2 + i*k**3 + a*k**4 + m + z*k and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 30.4. What is the third smallest value in 0.5, k, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(7 - (-205)\/(-30)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29197, -116811, -262829, -467251, -730077, -1051307, -1430941?\n\"Answer: -29202*z**2 - 8*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*u + 21*u - 3. Suppose u*f = -f - 2*f. Sort f, 1, 6, 5 in descending order.\nAnswer: 6, 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21929.88 and -0.04?\nAnswer: 877.1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**2 + 10*m**2 + 26 - 2*m**2 + m**2 + 8*m + m**2. What are the prime factors of i(11)?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 6. Suppose -2*x + x + 2 = 0. Let d(s) = -3*s + 3*s**3 - x*s**3 - 3*s**2 - s. Determine d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27754826 divided by -2523166?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 22\/14 + (-23)\/(-23 + 46)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 80 = -2*g. Let u = -2185 - -2189. Suppose -g = -4*q, -c + q = u*c - 20. What is the third smallest value in c, 0.02, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4502.1901 to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/12 - 2*d**3 - 9*d**2\/2 + 56*d. Calculate the remainder when x(17) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-210)\/9 + 23)\/((-3)\/(-2446398)*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 335 - 16751\/50. What is the fourth smallest value in 0.3, -1, p, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.08, 1\/7, -0.5, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0137 rounded to four decimal places?\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 9*r - 159 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 944*v = -279*v - 447*v - 38410 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 113232110 to the nearest 10000.\nAnswer: 113230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (3*(4*sqrt(204) + sqrt(204)) - sqrt(204)) - sqrt(204))\/(sqrt(48)*1).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -316\/9 - -35. Let y be 6\/(-21) + (1518\/84)\/23. Which is the closest to -0.1? (a) p (b) 0.09 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 79 + 94 = 0, -19*c = 2*j - 279 - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/122040 and -149\/4651080?\nAnswer: 41859720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n - 1. Let u(b) = -6*b**2 + 5*b - 4. Suppose 0 = -5*p - 2*w + 5, 4*w + 6 - 29 = 3*p. Calculate p*u(x) + 4*v(x).\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:23 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -250\/9. Let v be -1*-3*(-8)\/(-48). What is the nearest to -1\/3 in -0.2, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4927 - 4927.4. Let v = -40 + 121\/3. Let x = 0.34 + -0.04. Which is the nearest to v? (a) x (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 172. Suppose -2*r = r - 21. What is the greatest common factor of r and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h**3 + 46*h**2 + 140*h + 241. Determine y(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6180 is divided by 188?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/3 + (-4)\/6. Let w(i) = -4*i + 4*i - j + 2*i. List the prime factors of w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.004, 2\/233, -5 in ascending order.\nAnswer: -5, 0.004, 2\/233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2395602*0.1\nAnswer: 0.02395602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35453*o*p**2*t - o*p*t - 2*o*p - 20*p**2 - 1613*p - 404*t + 32 wrt t?\nAnswer: 35453*o*p**2 - o*p - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-16\/7)*y)**(-30) assuming y is positive.\nAnswer: y**(-1110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eete. Give prob of picking 1 t and 2 e.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1984, 3974, 5966, 7960, 9956?\nAnswer: 11954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-3 - 1))\/(6\/4). Let s be (l\/(-9))\/(2\/(-36)). Does 22 divide 23 - (4 + s\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*q**4 - 12401270*q**3 + 5314896*q**2 + 6074120*q + 1012352 = 0. What is q?\nAnswer: -126544, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*z + 18 = 0, 4*n + 3971*z - 1979*z - 1984*z = -36 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 859 + -852.81. Let t = -1.19 + j. What is the second smallest value in 10, -1\/3, -5, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 7*w - 7. Let f be g(6). Let n = f + 4. Suppose -5*l = -4*l - n. Solve -3*h - l*x + 9 = 0, -3*h + 17 = h + 5*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 14 = -22. Suppose -2*r + x*g = 2008, r = -g + 3*g - 1004. Round r to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/4107258 and 125\/48.\nAnswer: 32858064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.68 - -4.68. Let k = 7\/8 + -3\/8. Which is the closest to -0.1? (a) 5 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) 0.2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -123, -253, -409, -603, -847, -1153, -1533?\n\"Answer: -2*j**3 - j**2 - 113*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 26*o**2 + o + 10. Let c = -7286 - -7312. Determine s(c).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 4*o - 4*q - 601, 73*o - 70*o + 0*q + q - 191 = 0 for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49638890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 4*x**2 + 13*x + 21. Let h be y(-3). What are the prime factors of 2\/((-273)\/873 + (-3)\/h)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f - 9 + 6*f**2 - 5*f**2 + 21. Let t(b) = -11*b + 14. Let p be t(2). Calculate the least common multiple of s(p) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:10 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.22, -20, 2\/3, 158.9?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = 2*p, 5*h = -5*p. Put h, -5, 8 in descending order.\nAnswer: 8, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, 0.2, -20 in decreasing order.\nAnswer: 0.2, -7\/3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*m - 11, h - 6 = -3*m + 20. Let t(r) = r + 9. Let k be t(m). Suppose 17 = 3*w - k. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154777892 to the power of 1\/2, to the nearest integer?\nAnswer: 12441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -105464184 divided by 8\nAnswer: -13183023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4 = 0, 5*j - 8*j - 3*t + 12 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137.433002378 + -39.566998512. Let i = n - -177. Round i to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158.1396 decades to millennia.\nAnswer: 1.581396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 60 - -52) + -1 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -949 - -970. Let l(c) = 9*c**2 + 21*c. Let t(g) be the third derivative of g**5\/60 + g**4\/12 + g**2. What is f*t(a) - 2*l(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 10:59 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.15487046717 and 10.6.\nAnswer: 10.44512953283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose 0 = -3*r + 2*r - f, 0 = -2*a + 4*r + 18. Suppose 10 = 6*u - a*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/10)\/((-3)\/(-4)). Let l(o) = o**2 - 3. Let k be l(f). Let d(c) = c. Let y(j) = 6*j + 3. What is k*y(s) - 5*d(s)?\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 220. Let i(k) be the first derivative of k**2 + 726. Determine i(f(g)).\nAnswer: 6*g - 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, 3, 13?\n\"Answer: 10*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.9 + -91.9. Let i = h + 79. Let q = 2 + -2.2. Which is the nearest to q? (a) -5 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45461 (base 7) in base 3?\nAnswer: -120212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-8) - (-9)\/36 - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 202*a + 12. Let p(z) = -2*z**2 - 169*z - 10. Let x(d) = -5*i(d) - 6*p(d). Let n(t) = t. Determine 4*n(j) - x(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 26 + 2248*l**2 + 16.\nAnswer: 2248*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37560841.\nAnswer: 37560841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -13. Let o be ((-2)\/c)\/((-4)\/(-3)). Let a = 30 + -34. What is the biggest value in 1, a, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, -5307, 3\/8, -2\/5, -483?\nAnswer: -5307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 21*k + 23. Let m be i(22). Suppose -2*b = m - 17. Calculate the remainder when 36 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(9\/4)\/p*p**12*p**(-23)\/p**30 assuming p is positive.\nAnswer: p**(-159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 3674 + 73366. Suppose 2*n = 18*n - h. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, k: 1}. Give prob of sequence kl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) -3\/2 (c) -18 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40558 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 19*f + 31. Let c(o) = -3*o**2 + 29*o - 46. Let w(n) = 5*c(n) + 8*d(n). Let h be w(4). Solve -4*b + 18 = h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.864983 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 + -2 + 3. Suppose -6*u + d*u = 0. Suppose r + u*r - 14 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18574491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/(17*(-4)\/(-272))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u**2 + 0*u)*(u + 2 - 31 - 4 + 3 - 3 + 2*u + (3 + 1 - 3)*(-7*u + 3*u + 3*u) + 0*u - 2*u + 4*u).\nAnswer: 8*u**3 - 66*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s - 6678 = -3*t, -8904 = -4*t - 3*s. List the prime factors of t.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27998 + 500658 = 7144*o for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4086.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1265\/(-506))\/(1\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-726)\/828 + ((-68)\/(-96) - 106\/(-848))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-756)\/8)\/7)\/(3\/(-4)). Which is greater: k or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -386 + 432. Let r(m) = -39 + 17*m - 15*m + l. Let k(b) = b**2. Give k(r(g)).\nAnswer: 4*g**2 + 28*g + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 52*l + 276 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 12, 3*a + 3*n + 5 = 2*a. Solve 2*s - a*w + 6 = -0*s, 0 = -2*s + 3*w - 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -1\/3, -4\/7, -3\/8 in decreasing order.\nAnswer: -1\/3, -3\/8, -4\/7, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c7 - b?\nAnswer: -1d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 + 2*y + 1. What is m(-8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7509 and -0.07.\nAnswer: 0.052563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.4. Let c = x - 4.1. Let a = c + 4.2. Put 0.4, -0.2, a in increasing order.\nAnswer: -0.2, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a1 (base 14) to base 6.\nAnswer: 4141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 336 = -0*t - 4*t, -4*n - t + 262 + 406 = -9*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -937 divided by 1\nAnswer: -937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.449243 - 0.4474. What is a rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 (base 13) in base 15?\nAnswer: d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.9, -15, 4, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14556 - 5?\nAnswer: 14551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.1 (c) 4 (d) 0 (e) 55\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-112))\/(36\/189).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 5*g + 3. Let h(z) = z**2 - z. Determine -c(a) + h(a).\nAnswer: -a**2 + 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 30990036?\nAnswer: 154950180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -52 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -191 - -323. Let r = -48 + q. Suppose -4*g + 8*g - r = 0. Calculate the remainder when 82 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 5*l - 5 + 33. Let z be d(13). Let n(s) = -2*s**z + 3036 - 3036. Let c(k) = 17*k. Calculate n(c(q)).\nAnswer: -578*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 4)*-2 - -2. Let o(v) = v**3 + v**2 - 1. Let p(f) = 2*f**2 + f**2 - 2 + 5*f**3 + 0*f**2. Calculate d*o(h) - p(h).\nAnswer: -h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 (base 9) in base 14?\nAnswer: d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2)\/3*10. Let p be (-1 - 0)*(0 + -4). Suppose o + p = -4*j, 5*o = 4*j + 2 + 2. Solve z + n - 1 = o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5669 = -31*j - 1608. Solve 3*h + j = 119 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.08, 3, -54, 5\/2, 2, 1.\nAnswer: -54, 1, 2, 2.08, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/9 and -4\/2607.\nAnswer: 7821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*w + 48*w + 20*w - w**3 - 247*w - 45*w**2.\nAnswer: -w**3 - 45*w**2 - 238*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1907542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193.1 - -52.9. Let g = -245.8 + j. What is the third smallest value in 0.1, g, -0.2, -0.22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7704.96603 - 7705. Round j to three dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15146 + -4?\nAnswer: 15142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 7*k + 4. Let l be h(7). Suppose 9*p - 10 = l*p. Factor -3*x**4 + 1 + 0 - 1 - p*x**3 + x**2.\nAnswer: -x**2*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 755644068 divided by 12.\nAnswer: 62970339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**2 - 8*g + 7. Let k(l) = 0 + l - 3 + 2 + 3*l**2 - 4*l**2. Suppose 0*d - 3*d = -2*r + 24, -3*r - 21 = 5*d. What is d*k(v) - h(v)?\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -185, -154, -89, 22?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + (sqrt(448) - sqrt(448)*-3))**2) + -2)*5 + -1.\nAnswer: -56011 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0498251 micrograms to grams.\nAnswer: 0.0000000498251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1242*a - 15. Let s(w) = 248*w - 3. Determine -5*l(g) + 24*s(g).\nAnswer: -258*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 w when three letters picked without replacement from mqqipiwv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x. Let i(z) = -36*z**2. What is i(t(k))?\nAnswer: -1296*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -118, -400, -950, -1858, -3214?\nAnswer: -5108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 6*c - 177. Let j be (-10)\/(((-9)\/(-3))\/(-3)). Calculate the highest common divisor of j and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x - 8*x - 18. Let q(s) = s**2 - 7*s + 9. Let b be q(6). Solve -x*w = -b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 565840100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - -43.05. Let h = z - 43.000019. Round h to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 9*w**2 + 3*w - 29. What is the tens digit of d(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 5\/3*y**3 + 0*y**4 + 5\/4*y**5 - 42*y + 0*y**2 + 0. What is the second derivative of g(a) wrt a?\nAnswer: 150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(0*o - 3*o + 4*o)*(-5 + 3 - 1).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(12) - sqrt(432)) + 0)**2 + (sqrt(750)*1)\/sqrt(10).\nAnswer: 5*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or -3\/4699?\nAnswer: -3\/4699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1053\/(-36))\/(-13)*40\/(-10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57947417 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258953 - -0.5.\nAnswer: -258952.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/4 + 23691*z**3\/4 - 36741574*z**2 + 19453510239*z + 19490257736 = 0. What is z?\nAnswer: -1, 584, 11554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1173\/35 - -169\/5. Let d = 2.5 + -2. Let c = d - 0.54. What is the closest to -3 in -4, c, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*c + 3*d + 14, -16 = c + 4*d. What is the units digit of -1*(c + 5 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.362 * -1129.\nAnswer: 408.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 4 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/63*7\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 5 - -1*10. Let t be (1 + -2 - f)*-1. Suppose 0 = t*n - 7*n. Solve n = -5*y - 14 + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 7, -17, -3\/7, -1\/2.\nAnswer: -17, -1\/2, -3\/7, -2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 15. Suppose 0*r - 5*r + 15 = 0. Suppose -y = -5 + 3. Solve t*o + 4 = o + r*w, -w + 3 = y*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20740*f + 20888*f = 6512 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.758 + -39.162. Let i = r - -46. Let c = i - 6.080269. Round c to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*j - 126 = 0, d + 32 = 4*j - 10. Let o be 1 - d\/9 - 2\/(-3). Suppose 1 = o*z - 4*u, 0 = -2*z + 4*z - 5*u + 3. Solve -2*b = -z - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1385110 and 80?\nAnswer: 11080880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(2\/5))\/(3\/6). Let x = -17 + 28. What is the nearest to 0.2 in h, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -15. Let o = 0.21281 + -0.01281. Which is the nearest to -10? (a) -2\/3 (b) o (c) g (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 128\/12 + ((-21)\/(-9) - 2). Solve -k = -4*q + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 h, 1 w, and 1 k when four letters picked without replacement from {w: 4, h: 3, c: 1, k: 6}?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -29) + (40 - (-15 + 52))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*b + 4*g, -3*b - 4*g = -5*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(72\/32))\/(2\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 926066490 to the nearest integer?\nAnswer: 30431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -904.5 to the nearest 10.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -12, -27, -48, -75, -108?\n\"Answer: -3*v**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, and 2 e when four letters picked without replacement from elmlllmemjmmllemm?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 - 169. Let b = y - -55. Solve 3*v + 4*s + 21 = 0, 4*v = 5*s - 2*s - b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*(1\/(6\/(-8)))\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**6\/50 + 87*s**5\/100 - 193*s**4\/20 - 57*s**3\/2 + 135*s**2 + 10*s + 15. Determine l so that q(l) = 0.\nAnswer: -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 <= 273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27.5857l?\nAnswer: 27585.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 3986094?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1103021212243 - 0?\nAnswer: 1103021212243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -327455 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8063077?\nAnswer: 11, 37, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 2, -87, -3.\nAnswer: -87, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -70. Let w be o\/6 - 98\/84. Is (81 - -12)*w\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -60*y**2 - 26*y + 27. Give d(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/4, -3, -11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 0 + 1\/3*n**4 + 0*n**3 + n**2 - 1\/20*n**5 + n. Let d(c) = 0*c - c**2 + 0*c + 0*c. Determine d(x(a)).\nAnswer: -9*a**4 + 48*a**3 - 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/9 in -1149, 3, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 461*-56)*(990\/(-72))\/(-11)?\nAnswer: 2, 5, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 6097*r**2 - 12193*r\/2.\nAnswer: -r*(r + 1)*(r + 12193)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 9) to base 16.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + 29. Let a = 48 - i. Put 0.5, a, -1\/5 in descending order.\nAnswer: 0.5, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*s**3*y + 106*s**3 + 4*s**2*y - 40*y - 1082 wrt s.\nAnswer: -18*s**2*y + 318*s**2 + 8*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s*s**(1\/6)*s*s))**(5\/2) assuming s is positive.\nAnswer: s**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/3, 1, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*o = -16, -2*w + 2 + 0 = 3*o. Let t = 4.5 - 0.5. Let x = t + -4. What is the biggest value in x, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*35\/(-160)*(-66)\/(-6237)*27.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(-2*r - 2*r + 2*r)*(-2 - 2 + 2 + (4 - 5 - 1)*(-2 + 2 - 1) - 1 + 2 + 0 - 3 - 4 + 5) in the form y + v*r and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(118\/1416)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.46371 milliseconds to microseconds.\nAnswer: 58463.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1185, 1862, 2987, 4560, 6581, 9050, 11967?\n\"Answer: 224*m**2 + 5*m + 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 104*d - 106*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (35 - 31 - (-1 + -1 + 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 4. Let b be q(-2). Sort b, -5, 1, 5 in decreasing order.\nAnswer: 5, 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 957 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -5 (b) 2 (c) -34 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 5*o + 1. Let d(p) = -p**3 + 4*p**2 + 3*p + 3. Let u be d(5). Let h be (-12)\/16 - u\/4. Let j = h + 4. Determine s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 574 = -27*n - 175*n - 78*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*p = 6 + 2, -3*h - 5*p + 12 = 0. Let j(n) = -2*n - 20. Let v be j(-10). Put 4, h, v in increasing order.\nAnswer: h, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-6))\/((-2)\/58)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58257, 116156, 173721, 230946, 287825, 344352?\nAnswer: 400521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1424403.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -5469, -0.6, 2\/41, 0.3, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -172 + f + 172 + 21*f**2. Let y(n) = -n. Give x(y(t)).\nAnswer: 21*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/105436 and 53\/292?\nAnswer: 7696828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 656 - 7244\/11. Calculate the common denominator of u and -57\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185636249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3 - 1 + 6 + 6 + u. Let k be h(-9). Does 14 divide 24\/(-40) - (-273)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -28 - 26 - (-38 + (1 - (0 - -4))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(117) + (sqrt(117) - 2*sqrt(117))*3)*-3)\/((-4*sqrt(54))\/sqrt(6) - (sqrt(9) - -1*sqrt(9))*-1).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532619370.\nAnswer: 2, 5, 331, 599, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2703623 or -2703619?\nAnswer: -2703623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 2*x + 3. Let r be n(2). Let z = 16 + r. Solve 4*q = 9 + z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 176.9. Which is the smallest value? (a) -4 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6)**47\/(g*(g\/(g*g**39))\/g)**(1\/6) assuming g is positive.\nAnswer: g**(577\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 307 = f, 4*d + 12 = -5*f + 1559. Suppose -r = -107 - f. Calculate the highest common factor of r and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - -1) - (-248 - -245)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18493, -18522, -18551, -18580, -18609, -18638?\nAnswer: -18667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -109*f + 14. What is j(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -10. Let u(v) = 17*v**2 - 23*v**2 + 4*v + 6 + 4*v**3 - v**i. Is u(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4717030 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2019.866cm to micrometers.\nAnswer: 20198660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:48 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-8))\/(5\/30). Suppose 3*x + 2*s + s = 0, -2*s = c*x - 4. What is the derivative of -4*h + 4 + x - 2*h wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -10 + 5 - -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9*p = 4*p + 47, -136 = -2*u + 4*p. What is the highest common divisor of u and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -191, -189, -185, -179, -171, -161?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 6. Calculate the remainder when 14 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 13*l + 455 - 1269 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1508 is divided by 141?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) -344 (c) 0 (d) -2 (e) -770\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221 + 355. List the prime factors of z.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3689342, 3689347, 3689352?\n\"Answer: 5*g + 3689337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 375*h**2 - 2219040*h - 26673840.\nAnswer: 5*(h - 636)*(h + 12)*(h + 699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -7. Let t = 0 - -3. Suppose -t*g + k = -5. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 649\/978 - -1\/326. Which is smaller: j or 2\/1315?\nAnswer: 2\/1315","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyz when three letters picked without replacement from zpypyxyayixz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + t**2 - 4*t**2 + 3*t**2 - 6 to the form w + a*t + v*t**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 11. Suppose 5*i - r - 2 - 7 = 0, 0 = -3*i - z*r + 11. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 34 = -6*u. Suppose 0 = -8*o + u*o - 1105. What is the remainder when o is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12691\/18 - 1419\/2. What is the common denominator of p and 89\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggr when three letters picked without replacement from arrjggw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 5 - 4*y - 3*y**2 + y**2. Let l be x(6). Suppose 4*w + v = 39, l*v = w + 2*v - 36. Calculate the remainder when 19 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266981757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -183, -181, -179, -177?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 3*x**2 - 4*x + 2. List the prime factors of l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468 divided by -3.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/210 - -2*(-7)\/(-20). What is the closest to 0 in 2, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.4 times -1.6?\nAnswer: 101.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssusussusu?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhxllxiixll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*x + 386*x = -2*h + 40, -28 = -h - 5*x for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 266742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 5*w**2 + w + 1. Suppose 0 = a - 5, -a - 4 = -4*i - 1. Let q be (-3 - (-11)\/i)*-2. Give y(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0330276 times 2?\nAnswer: -0.0660552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rur when three letters picked without replacement from {r: 3, v: 1, t: 6, u: 8}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itirpr. Give prob of sequence it.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/4846 + -2435\/19384. Put k, 4, -0.04, -2.5, 2\/7 in decreasing order.\nAnswer: 4, 2\/7, -0.04, k, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 + 2\/8. Let a = 3 - 2.5. Put c, -1, a in increasing order.\nAnswer: -1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/8*(-6 - 35\/(-7)). Let j(k) = -3*k + 26. Calculate j(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 5*u - 1 + 2*u)*(-14*u**2 - 7 + 7).\nAnswer: 28*u**3 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 11*l**2 + 16*l - 9. Let u be c(-11). Which is smaller: u or -184?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3223768 is divided by 230269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315)\/(-378) - (-9)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6005 - 3847 = -83*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (sqrt(45)*1)\/sqrt(5) - sqrt(81)\/(sqrt(18)\/sqrt(2) + sqrt(9)))\/(6*((sqrt(243) - 2*sqrt(243)) + sqrt(60)\/sqrt(5) + sqrt(3))).\nAnswer: sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-12)\/l)*l*l**10*l)\/((l*l\/(l\/(l\/(l*l\/(l\/(l*l**(1\/3)))))))\/(l*l\/l**(-2))) assuming l is positive.\nAnswer: l**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {i: 1, p: 11, z: 1, n: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + 0.14. What is the closest to 1 in -0.5, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*p + 1)*(-p**3 - p**3 + 4*p**3)*(4*p + 0*p + p).\nAnswer: -40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (3 - 2 - -1). Suppose -p*t = -2*t. Let d = t - -10. Calculate the smallest common multiple of d and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6 - v + 9*v - 2*v. Let t be p(-2). Let b(c) = -c - 4. Give b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3154 + -5?\nAnswer: -3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12410 + 4\/(-18) + 176\/(-99). Suppose 18*f + 2112 = x. Calculate the greatest common divisor of f and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3084 + 3168. What is the least common multiple of u and 196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/154)\/(70\/(-168))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0042869 to 5 dps.\nAnswer: -0.00429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 24881.66 minutes?\nAnswer: 1492899.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2236664 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/(-8112)*-78)\/(3*(-2)\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 98890*w**3 + 197789*w**3 - 838*w**2 - 98900*w**3.\nAnswer: -w**3 - 838*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045 + -0.235.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 81 + 45 = 0. Solve -24 + v = -6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2. Let m(r) = -r**2 + 0*r**2 - 3*r**2 + 2*r**2. Give q(m(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, c: 5, s: 5}. What is prob of picking 4 n?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + s - 14 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1206 = 736*n + 6686 + 7032 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305138.9mg in micrograms?\nAnswer: 305138900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 8*k + 12 + (-1 - 6 + 0)*(k - 2 + 2) + 0*k - 2*k + 0*k)*(-k + 3*k - k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:29 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((10 + -4)*1). What is the third smallest value in -0.2, l, 2\/5, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/186403 (b) -6\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*a)*(2 - 3 + 4) - 3*a - 3*a + 3*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 14*q**2 + 30*q - 22. What is the remainder when j(-17) is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 5*i**2 - 5*i - 5*i**3 + 6*i**3 + 4 + i**2. Let l be c(4). Suppose -12*j - j + 16237 = l. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Let i(p) = -7*p**2 + 1. What is q(i(u))?\nAnswer: -7*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 4*v + 260 - 200 - v as p*v + z and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 3*l**3\/5 - 249*l**2\/10 - 84*l\/5 + 6925. Factor t(q).\nAnswer: 3*(q - 28)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g\/g**(2\/3)*g))\/g)*g*g**(-5\/7))\/(g**(-1)*g)**35 assuming g is positive.\nAnswer: g**(55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/12*-4)\/((-1416)\/531).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -3*k + 1. Suppose -v = -k - 22. Calculate the remainder when v is divided by ((-11)\/(11\/4))\/((-17)\/34).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 4}. What is prob of picking 4 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06699 + -943904.\nAnswer: -943904.06699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)*(3 + 0). Is 1\/(1\/(-57)*j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 12*o - 3. List the prime factors of j(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6959437 or 6959438?\nAnswer: 6959437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -7.4. Let q = -0.6 - r. Let h = q + 2. Which is the nearest to 0? (a) -4 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*w**2 - 2 - 88*w**2 - 88*w**2.\nAnswer: -4*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, 646, 1, -1, 0.5 in increasing order.\nAnswer: -5, -1, -0.5, 0.5, 1, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)*r**6)\/(r**(-2\/9)*r)**(-5) assuming r is positive.\nAnswer: r**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (11 - (9 - 0)) + -7 + -86 + -1.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3)*3*23\/(-23)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + 2 + (92 - -67) + -223.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -287*t - 1143. Let u be n(-4). Suppose 2*c = -287 + 4337. Suppose -c = -u*a - l - l, -a + 3*l = -422. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/2 + -4 + 22 + -12. Put k, -8, 1\/3 in increasing order.\nAnswer: -8, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 3*o**5\/4 - o**4\/2 - 10*o**3 + 12*o**2 + 25*o. Suppose j(x) = 0. What is x?\nAnswer: -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + -32452?\nAnswer: -32425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 1929?\nAnswer: 21219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -4. Suppose 0 = -3*z - o + k, 3*z - 2*o - 68 = -z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -10, -8, -4, 1 in decreasing order.\nAnswer: 1, -4, -8, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*-1*2*2\/8)\/(332995\/(-7085))?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 307*d**3 - 96*d**3 + 83*d**3 - d + d + d**3 + (3*d + 2*d - 4*d)*(4*d**2 + 0*d**2 - 2*d**2).\nAnswer: 297*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2. Let d(r) = -r + 1. Let t be 6\/5*60\/36. Calculate t*a(i) - 2*d(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*y + y. Suppose 2*m = -4*t - 26, 4*t = -5*m - y - 41. Let c(l) = l**2 + 4*l - 3. What is the units digit of c(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-1515*b - 841*b - 966*b).\nAnswer: 6644*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 b, and 1 x when four letters picked without replacement from {b: 2, x: 1, r: 2, k: 1, s: 2, u: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.451976 rounded to two dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(sqrt(1216) + -1 + -2) + ((1 + sqrt(1216))*3 + -3*(sqrt(1216) - sqrt(1216)*-2))**2).\nAnswer: -175080 + 992*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/7)*f\/f**4*f*f)\/(f\/f**(-2\/9)*f\/f**(-9\/2)))**(13\/3))**10 assuming f is positive.\nAnswer: f**(-60905\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -2\/17, -6?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 2*m**2 - 2*m + 1. Let c be z(1). Suppose -14 = -5*w - 4. Is 8 a factor of 32 + (w - c)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59e7cc (base 16) in base 10?\nAnswer: -5892044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 43. Let v be 6\/4 + m\/6. Sort -0.3, v, 6\/11 in increasing order.\nAnswer: -0.3, 6\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533558 is divided by 74.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 2 - 4 + 5*y**2 - y**2 - 2*y. Let d be u(3). Let z = -15 + d. Solve z*o - 19 = -3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:30 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4 + 475*x**3 - 11950*x**2 + 98900*x - 153720 = 0. What is x?\nAnswer: 2, 14, 18, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 7 = -3*g - 7*q, -g = -q + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 7*s**2\/2 - 29*s + 15. Let u be o(5). Solve -3*z = 3 - u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79215.\nAnswer: 3, 5, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.3, -1322 in increasing order.\nAnswer: -1322, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, x: 10, l: 1}. What is prob of picking 1 l and 1 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8434 and 207.82353.\nAnswer: 8641.82353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-14) + ((-42)\/8 - -4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 18 = 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-9) + (-9)\/54*8. Solve -7 = 2*a + 5*y, -n*y = -5*a + a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/63 and -67\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**3 + 357*n**2 + 12*n - 1428 = 0.\nAnswer: -2, 2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7625633*b**3 - 5797228 with respect to b.\nAnswer: 22876899*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876 is divided by 286?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/7 + (-48)\/112. Suppose f = -2*u + 5*u - 57. Calculate the highest common factor of 76 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*z**5 - 1910 - 40*z**5 + 1910 - 144*z**2 wrt z?\nAnswer: -6900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d - 0*d. Let l be -5 + (9 - 1) - d\/1. Suppose -2\/5 - 4\/5*w - 2\/5*w**l = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -10*b - 117. Suppose b = 2*f + 13. What is the greatest common divisor of 143 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5*a - 6)*(6 - 4 - 2*a**2 + 8).\nAnswer: -10*a**3 + 50*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 308*l**2 - 628*l - 316.\nAnswer: 4*(l - 79)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 14*z**2 + 7*z - 21. Let b be l(14). Let v be 35\/b*4\/(-50). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 12*h**2 - 4*h + 16. Let q be s(12). What are the prime factors of q\/40*(0 + -15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -25*o**2 + 880*o - 5437. Determine w(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3598390 (base 11) to base 16.\nAnswer: 5f9021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 4*u**3\/3 - 19. Let a(s) = s**3 - s**2. What is -4*a(w) - f(w)?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**10)\/v)**(2\/65)*v\/(v\/(v*v\/(v\/(((v**(-5)*v)\/v)\/v))*v*v))*v*v**(-6\/19) assuming v is positive.\nAnswer: v**(-648\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.12 and -151202360081.\nAnswer: -151202360080.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27945 and 23895?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/8 + 170\/(-4). Let f be (6\/3)\/((-3)\/m). Suppose 4*w + 2*r - f = r, 5*r = 4*w - 28. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - (36 - -67) - -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-10)*-1)\/((-3)\/(-6)). Let z(g) = q - 3 + 2 - 13*g + 3. Let m(a) = 84*a - 32. Calculate -5*m(o) - 32*z(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 326666*t**4 + 1685*t**3 + 326667*t**4 - 2*t in the form h*t**2 + j*t + z*t**4 + n*t**3 + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 273 + -322. Put 3, 13, t in descending order.\nAnswer: 13, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1 - v**3 + 0*v + v**2 + 0*v**2 + 2*v. What is the units digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295\/4 smaller than 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-1*2 - sqrt(152)) + 4*sqrt(152)*2)\/((-4*sqrt(648) - sqrt(8))*-2).\nAnswer: 5*sqrt(19)\/74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 49 = -2*v - 4*o, -2*v - 3*o - 63 = 0. Let k be 6\/(-10) - 108\/v. Let g = 6 - k. Solve -g*n = -1 + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1417, -5550, -12429, -22054?\n\"Answer: -1373*t**2 - 14*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1140 and 1352420.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1888 and 81892.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6757561 litres?\nAnswer: 675.7561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 66*h**2 - 146*h - 86. Calculate q(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -3. Let s = g + -6.9. Let d = s - 3.1. Which is the closest to -2\/5? (a) 3 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1938 and -121\/4543318?\nAnswer: 13629954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjjitddn. Give prob of picking 1 t, 1 d, and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -27. Put 2\/7, -1, m in increasing order.\nAnswer: m, -1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 take away 18479196510578?\nAnswer: -18479196510591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**2 + 0*k**2 - 3*k**2 + (-2 + 6 - 2)*(-k**2 + 0*k**2 - k**2).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l + 3. Let q be z(3). Let r = q + 5. Sort -3, r, -5 in descending order.\nAnswer: -3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -7, -2, 0, 202, 2 in descending order.\nAnswer: 202, 13, 3, 2, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 16 + 2 = 0. Suppose 0 = 2*f + 23 + z. Find the common denominator of -107\/22 and 468\/f - -1 - -3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyfvffvv. What is prob of sequence vf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -34, 0, 19\/769, -0.3?\nAnswer: 19\/769","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k**3 + 4*k**3 + 2*k**2 + 10*k**3 as u + q*k**2 + d*k**3 + j*k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -691888014 divided by 167?\nAnswer: -4143042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/474726 and -99\/8?\nAnswer: 1898904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-14)\/(-392)*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.48 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 7*d - 7*d + (-2*d - 2 + 2)*(-16*d + 3*d**2 + 16*d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -13. Let v = w - -36. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, -1.8, 0.3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7562*i**4 + 43*i**3 - 1197416 with respect to i.\nAnswer: 30248*i**3 + 129*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -2*d**5\/5 - d**4\/24 - d**3\/6 + 137*d**2. Calculate g(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(75) - -1*sqrt(75))**2 + (sqrt(3) + (0 + sqrt(3))**2)*5 + 4.\nAnswer: 5*sqrt(3) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from mffgeffnm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94037801?\nAnswer: 11, 13, 657607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/7 - 16*n**3\/7 + 11*n**2 - 14*n.\nAnswer: n*(n - 7)**2*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 3)*(-1 - 3 + 3) + 0 - 4 + 3 - 2 - 2 - 12)*(3*a + 0*a - 5*a).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 313886 and 313883 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, o: 2, l: 2, q: 5, v: 3}. Give prob of sequence yol.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 34 = -p, p + 2*t = -4*p + 55. Suppose -p = 2*y - 1. Let h = -6 + 8. Sort 4, h, y.\nAnswer: y, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-1297355)\/(-40) - ((-306)\/16 + 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29363250 divided by 8\nAnswer: -14681625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**3 + 587*p**2 + 597*p**2 - 1162*p**2.\nAnswer: -19*p**3 + 22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-72)\/28)\/((-4)\/((-224)\/(-3)))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 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: Which is the third smallest value? (a) -0.5 (b) 1\/7 (c) 14 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4\/15 - 28*d**3\/15 - 6*d**2\/5 + 144*d\/5 + 288\/5 = 0?\nAnswer: -12, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {o: 1, g: 1, e: 1, a: 1, d: 2, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 - -252. Let l = g + -146. Solve -2*w + 8 = -5*f, -2*w - l = 3*f - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19679, -19682, -19685, -19688, -19691?\nAnswer: -19694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 3129 = 7. What is the remainder when 392 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 114333264 + 1?\nAnswer: 114333265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**4\/4 + 14*p**3\/3 - 15*p**2\/2 + 4*p - 48. Determine g(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 16. Suppose a - x - 181 = 0. Let q = a + -137. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, -1, -11\/4, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c + 467d?\nAnswer: 4611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*g - 228, 4*g - w - 204 = 36. Let x = g - 42. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5\/5 - 2*q**4\/5 - 2*q**3 + 4*q**2 + 9*q\/5 - 18\/5 = 0.\nAnswer: -3, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222174676 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -484.85 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j. Let p(q) = 2*q - 6. Let l(g) = 1. Let x(r) = 6*l(r) + p(r). Let t = -6 + 16. Let v(i) = t*x(i) + 3*c(i). Let u(y) = -3*y. Calculate v(u(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - (6 + -14 + -1). Solve -15*i + 16*i - u = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -115, -3 in descending order.\nAnswer: -3, -5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-10))**(-19) assuming u is positive.\nAnswer: u**(-209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 160*k**2 - 3*k - 1. Let f(h) = -h. Give f(w(l)).\nAnswer: -160*l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:16 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 144, 137, 134, 135, 140, 149?\n\"Answer: 2*t**2 - 13*t + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 7. Let h be (10\/3)\/(d\/21). Suppose -3*v + h*n = -5, 30 = -v + 3*v + 2*n. Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27628064 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15369.\nAnswer: 3, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvllppvpvpvl. Give prob of sequence ppp.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 2*u**2 + 2*u**2)*(-68 - 1 + 12).\nAnswer: -114*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 4, -2342?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.173 * 5.82\nAnswer: -1.00686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -190? (a) -2 (b) -1\/13 (c) -10759\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 4544435?\nAnswer: 4544435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.86797 rounded to two decimal places?\nAnswer: -2.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9544?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -482, -3, -1 in decreasing order.\nAnswer: -1, -3, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 50 + 87*w - 3*w**2 - 1 - 90*w. What is the remainder when f(8) is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8575 and 1244.351.\nAnswer: -7330.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2\/(-7)*7*104\/(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/30 and 1\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26424238 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.77 - -0.23. Let r = 0.2 + 0.3. What is the smallest value in r, -3\/10, m?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - r = -44, -2*z + 0*z = -4*r - 22. Let s be (-2)\/((-16)\/z + 2). Let p be (s\/6)\/(6\/(-16)). Calculate the greatest common factor of p and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:09 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*z = -z - 60, 3*z = -3*s + 48. Suppose 0 = 6*o + 4 - 76. What is the smallest common multiple of s and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.913, -5, 1, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.3 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*u - 17*u - 9*u)*(-57 + 50 + 40) - 3*u + 3*u - 3*u)*(5 - 1 + 4) as h*u + k and give h.\nAnswer: -5568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2776, 2775, 2774?\nAnswer: 2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/7 + 6*x**4 + 480*x**3\/7 + 1198*x**2\/7 + 1119*x\/7 + 360\/7.\nAnswer: (x + 1)**3*(x + 15)*(x + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 121*f + 2524. Determine s(-33).\nAnswer: -1469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from cccfcfcffxffcc.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -466910768*m**4 + 756264908*m**2.\nAnswer: -11205858432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1483896*f**3*u**2 - 35*f**3 - 1535*f**2*u - f**2 wrt u.\nAnswer: -2967792*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*x - 14, -2*m + 2 = -4*m + 3*x. Suppose 5*o = m*l - 44, 39 - 99 = -4*l + 3*o. Is 97\/((l\/4)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67\/(-5)*1795\/61748*172.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d - 531*d**2 + 4*d + 2*d**6 - 70*d**2 - 2549*d**3 + 2208*d**3 wrt d.\nAnswer: 240*d**3 - 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 2. Let w(o) = -o**3 + 6*o**2 + 6*o + 7. Let i be w(7). Let f be s(i). Suppose h = -f*v - 2*h + 42, 0 = -3*v + 5*h + 25. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2909 (base 13) to base 7.\nAnswer: 23162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.2312 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by 133.\nAnswer: 44\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*d - 47 - 3, d = -5*b + 44. Calculate the remainder when 78 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24394*0.4\nAnswer: 9757.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*k - 233*k = -54 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-78) + -1*474\/(-78)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3406 is divided by 571?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4022656273?\nAnswer: 263, 673, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1313 - 1312.7. Sort g, -0.15, -4, -3 in descending order.\nAnswer: g, -0.15, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 7:19 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, j: 4}. Give prob of sequence sjjs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 75*q - 1 + 3 - 7 + 3 in the form j + m*q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 885, 4, -3068 in decreasing order.\nAnswer: 885, 4, -3068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-12)\/(2952\/(-6))*(-2202)\/(-6)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 11 = -4*k + 5*s, s - 5 = k. Let u be (-6)\/(-2) - (k - 17\/(-3)). What is the fourth biggest value in 0.2, 0.5, -3\/2, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + ((-136)\/(-12) - 5) + 4\/(-2)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugp when three letters picked without replacement from gggugpppgz?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = 2*n + 3*n, 5*i - 5 = 5*n. Suppose -8*j + i*j + 258 = 0. Let m = j + 40. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5922.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29\/4 (b) 4 (c) -0.1 (d) -4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -856992*m**4 + 8*m**2*p + 6*m**2 - 1703*m*p - 55816*m wrt m.\nAnswer: -10283904*m**2 + 16*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 10) to base 14\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 11*l**2 - 29*l + 95. Determine j(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -153276\/67 at least -2289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3651182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12040, -12036, -12032, -12028, -12024, -12020?\n\"Answer: 4*y - 12044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10792.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2152*v = 7345*v - 112278 - 1234892 - 58386 for v.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 24 = -m - 5*k, 4*k = -3*m - 3. Solve -2*j + 20 = 5*l, -2*l + m*l = 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10)*(-15)\/(-12). Let w = 0.0572 + 1.9428. Is w at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 + 29 = 6*d. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:56 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + -18*(-623)\/14.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/2 - (-2 - 0). Let v(q) = q**2 + 7*q - 12. Let k be v(-10). What is the highest common divisor of w and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5169, -4, -2, -5 in descending order.\nAnswer: 5169, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 14*o**3 - 2*o. Let f be k(2). Suppose 0 = i - 50 - f. List the prime factors of i.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/57 + 2388010\/(-190380). Let a = 66\/167 - j. Find the common denominator of 123\/40 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177607\/2910 + -71 - (-1)\/(-30)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 10 = -18*a + 20*a, 0 = -4*w - a - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/652 and 47\/1387456?\nAnswer: 1387456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1531*t**2 - 1834*t**2 + 2953*t**2 + 2*t - 2*t - 2*t**2 + (0 - 2 + 4)*(-5*t**2 + 3*t**2 + 0*t**2).\nAnswer: -418*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*w - 105*w**3 + 38*w**3 + 49*w - 35*w**3.\nAnswer: -102*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3938 + 56?\nAnswer: -3892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 900729450 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**30)**38*(n**(-29))**(21\/4) assuming n is positive.\nAnswer: n**(3951\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 4. Let l(r) = 1743*r + 3652. Give -2*l(d) + 1826*x(d).\nAnswer: 166*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -970\/7 at most -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 - (-31 + 34)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01907 - 0.21907. Which is the closest to h? (a) 0.5 (b) -4 (c) 1 (d) 324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(3\/2)\/((h\/h**(2\/3)*h*h)\/h)**(-44)*(h\/h**(1\/3))**(-13\/3)\/(h*h**(-2\/5)*h)**(-31) assuming h is positive.\nAnswer: h**(9619\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 11*q**2 + 11*q - 5. Suppose -3*s + 5*d = 25, 3*s + 27 = -14*d + 17*d. Give y(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 436*v + 447*v + 447*v - 1323*v + 18*v**2 + 1 - 17*v**3 + 10*v**3 in the form h*v + f*v**2 + o + w*v**3 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 - 317*(-2)\/5. Let s = i + -124. Solve s*v + 10 + 1 = -5*g, 0 = -3*g + v - 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from pxxppxxaboxppbxpal?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + (4 + -2 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9\/5, -2, -1\/74, 2\/5, 0?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*i - 55 = 0, s - i = -4 + 19. Solve 21 = 4*a + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -34428*v**2 + 627*v + 627. Let h(g) = -110*g**2 + 2*g + 2. Give -627*h(t) + 2*i(t).\nAnswer: 114*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 2:14 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1745715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140215 or -140222?\nAnswer: -140215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 0.5, 990?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Let i(h) = -h**2 + 1 + 5*h + 0*h - 6*h + 6*h**2. Determine i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - (57 + -14) - -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2004 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17799.06 nanometers?\nAnswer: 0.00000001779906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.398, 4, 1\/5, 0.12 in increasing order.\nAnswer: 0.12, 1\/5, 0.398, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000243512008 rounded to 6 decimal places?\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5 + 167*d**4 + 495*d**3 + 493*d**2 + 164*d = 0. What is d?\nAnswer: -164, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**3 + 16*s**3 + 5*s**3 + (2*s + 3*s - 7*s)*(2*s**2 + 6 - 6) to a*s**2 + z*s**3 + l + h*s and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 4*w + w + 18*w - 7*w + 16*w + (w - 31*w + w)*(3 - 4 + 2).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2829 and 28\/1353.\nAnswer: 31119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3253974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197827?\nAnswer: 7, 59, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 1480688 = -562804. List the prime factors of p.\nAnswer: 2, 3, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*-1 + (-2139)\/(-279)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 - 3*s**2 + (-2 + 5 - 1)*(-s**2 + 0 + 0))*(-7*s + 2*s - s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.7 + 12.7. Let m = 46 - t. Let n = -34.9 + m. Round n to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e - a?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 + 13203*h**3\/4 - 16631241*h**2\/4 + 4519461317*h\/4 - 1128826083\/4 = 0 for h.\nAnswer: -4323, 1\/4, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/9)\/(1\/(-9)). Let o = -6 - x. Let v = 7 - o. Solve -n = 6*y - 3*y - v, 2*n + 3*y = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 0.09, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and -1.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 11. Let m be y(8). Suppose -m*q = -136 - 65. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrrjjajsrjjrrrvjrrj. Give prob of picking 1 s and 1 j.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/30)\/(8*(-24)\/2304)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -70 (b) -239 (c) -1 (d) 3\/5 (e) -71\/3 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.078, 2\/3, -0.2, 0.1?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1373?\nAnswer: -1\/1373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1140, -1119, -1098, -1077, -1056?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4914 + 5574. What are the prime factors of u?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 123 = k - h, -5*k + h = -197. Find the common denominator of -7\/72 and (-82)\/k - (-7)\/252*-12.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -26*g**3 + 2*g**2 - 1. Does 9 divide q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Suppose -w*z - 2*z = 35. What is the tens digit of (-57)\/(4 + z) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12100 and 3575550?\nAnswer: 7151100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476 or -68?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000 = 86*k + 164*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*d**3 + 4 - 247*d**3 + 580*d**3 + d.\nAnswer: 40*d**3 + d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -552, -554, -556, -558, -560, -562?\n\"Answer: -2*c - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 6, k: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/18359537 and -53\/63.\nAnswer: 165235833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3452*y + 1827 = -3365*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 526 = -5*q - 497, 0 = 2*k - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**3 + 37*j**3 + 317*j**3.\nAnswer: 383*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -10. Let x(b) = -3*b + 11*b - 4 + 8*b**2 - 2*b**2 + 2040*b**3 - 2041*b**3. Determine x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**3 + 18*j**2 + 3*j + 2*j**3 - 11*j**2 + 5*j**3 - 3. Let p(n) = 4*n**3 + 2*n**2 + n - 1. Determine -7*p(q) + 2*r(q).\nAnswer: -2*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205\/133 or -1?\nAnswer: -205\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -368.0000262 - -368. Round n to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - 1. Let n(u) = u**2 + u - 1. Let y(h) = 4*h**2 - 7*h - 20. Let g(o) = -5*n(o) + y(o). Let l be g(i). Do l and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**2 - 5118*m - 208998.\nAnswer: -2*(m + 51)*(10*m + 2049)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*g*j*s + g*j + 2*g + 4*s + 38 wrt s.\nAnswer: 35*g*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/60 - f**4\/6 + 2*f**3\/3 + f. Let l(x) be the second derivative of m(x). What is the first derivative of l(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from ooooooooouoooooooo?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -746, -419 in decreasing order.\nAnswer: 2, -419, -746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2993*m + 219. Let o(b) = 68*b - 5. Determine -5*a(f) - 219*o(f).\nAnswer: 73*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -3 + 4)*((-68)\/(-8) + -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/2 - -2)*74\/(-185)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 2795545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52133958 by -345258.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 6*z - 6. Let a(d) = d**3 + 29*d**2 + 201*d - 43. Let q be a(-12). What is y(q)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20004050, -20004049, -20004048, -20004047?\n\"Answer: v - 20004051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 41*q**2 - 91*q - 122. Calculate n(-4).\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m + 170 - 168 - 3*m + 23*m + m**4 as b*m + f*m**3 + i + q*m**4 + t*m**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-16))\/((-2)\/16). Let x = c - -8. Suppose 2*r = -i + 77, x*i - 128 = -4*r + 28. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37100680 rounded to the nearest ten thousand?\nAnswer: 37100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -381? (a) -5 (b) -12 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 21*l**2 - 83*l\/4.\nAnswer: -l*(l + 1)*(l + 83)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = -6. Suppose -n - 1 = -s*n. Let h = n - 1. Sort 4, h, -2\/7 in decreasing order.\nAnswer: 4, h, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/1203 and 73\/11203138.\nAnswer: 33609414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 10:08 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-112)*8*24\/(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1060, 2116, 3170, 4222, 5272, 6320?\n\"Answer: -u**2 + 1059*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 11*y - 5. Let p(k) = k**2 + 5*k - 1. Let i be p(-3). Let d be f(i). Suppose -d = -3*u - 21. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 2*c**3 + 2*c + (2 - 2 - 4*c)*(0*c**2 + 2*c**2 - 3*c**2) + (1 - c - 1)*(4*c + 2*c**2 - 4*c) + 0*c**3 + 4*c**3 - 3*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 4*w - 4, -3*z + 83*w - 82*w = -11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minus -0.4?\nAnswer: 690.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10735 and 8227.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 2*f + 13806. What is the tens digit of f*9\/(189\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = -4*h - 80, -y = 4*h + 84. List the prime factors of 6\/(-33) + (-1984)\/h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykdcj. Give prob of sequence dkjc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*q**2*s**4 - 66*q**2*s + 2*q**2 + 9*q*s**4 wrt s?\nAnswer: 144*q**2*s**2 + 108*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -408, -455, -498, -537, -572?\n\"Answer: 2*n**2 - 53*n - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 + 70*d + 95. Let c be g(24). Factor -16*w**2 + c*w**2 - 14*w**2 - 6*w**2 - 14*w**2 - 18*w.\nAnswer: -3*w*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -30 (b) 0.1 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 7 = 2*g. Let s(a) be the third derivative of -a**4\/24 + a**3\/2 - 2*a**2. What are the prime factors of s(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(70\/3)*18\/(-27). Let i = 9 + -9. Sort 1, w, i in decreasing order.\nAnswer: 1, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 11*f**2 + 9*f - 6. Let l be 3\/(((-42)\/20)\/7). Let o be k(l). Factor -y + 2*y**4 + 2*y**2 - y + 4*y**2 - 6*y**3 + 0*y**o.\nAnswer: 2*y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-910)\/390 - (-8)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -8*m**5\/5 + 19*m**3\/3 - 19. What is the third derivative of o(n) wrt n?\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117905.8 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/3, 1.7, -2\/3, 0.1, 2, -0.3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 6*n**2 + 8*n - 9. Let i be g(4). What is the third derivative of -100*c**3 + 55*c**2 + i*c**2 - 4 + 62*c**2 - 180*c**2 wrt c?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdwmmweddmmmwdmdmwe. What is prob of sequence dmem?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2965 + -1325. What is h rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 87273360?\nAnswer: 87273360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 4*f**2 - 13*f - 4. Let p be s(-5). Suppose -p*d - 165 = -37*d. Let c be 6\/(-33) + 501\/33. Calculate the highest common factor of d and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64.66 * 0.26.\nAnswer: 16.8116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-110))\/(9\/(396\/11)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/70 or -1?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2, -8*v - h + 19 = -3*v. Suppose 4 = 2*k - 5*g, -3*g = v*k - 2*g - 8. Let b(s) = 1 - 268*s + 537*s - 272*s. Give b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.43 (b) 46 (c) -7\/5 (d) -0.2 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 + 2*n + 10. Let c(t) = -11*t**2 + 5*t + 21. Let z(h) = -6*c(h) + 13*f(h). What is d in z(d) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1400 and 496153.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -859, -865, -875, -889, -907, -929?\n\"Answer: -2*l**2 - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63732.54nm in meters?\nAnswer: 0.00006373254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-9) - (1902\/54 - 2). Let t be 88\/m*(-6)\/4 - 16. What is the common denominator of (-166)\/(-72) - (-4)\/t and 1\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + ((-7)\/(14\/8) - -5). Solve -z + 5*w = -10, -f*z - 5*w - 28 = 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3831198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, o: 1, h: 1, q: 2, g: 2, l: 1}. Give prob of sequence gilo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e0a73 - 13?\nAnswer: -1e0a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292 is divided by ((-1232)\/10)\/(6\/(-15)) - (-7)\/1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 - (-3)\/(-12). Let a = 166 + -165.9. Put a, -1, r in increasing order.\nAnswer: -1, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than or equal to 6\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3992 + 5976. Is 62 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 + 19856*v**4 + 24*v**3 - 119104*v**2 - 158836*v - 59568 = 0. What is v?\nAnswer: -1, 3, 4964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.9 - 4.323. Let z = b - 181.577. Let y = z - -202.9. What is y rounded to 0 decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 - 147750*u - 1819171875 = 0. Calculate u.\nAnswer: -24625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10041 to 3 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3709 is divided by 312.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + 6168 = 4*l + 9*c, -6184 = -4*l - 4*c. Let w = l + -927. List the prime factors of w.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148888878 to the nearest integer?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 - ((-6 + 14 - 11) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42096140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10848 + -10840. What is the third smallest value in g, -22\/5, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 - -3746613372.\nAnswer: 3746613371.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/((6\/20)\/(-1)). What is the common denominator of (-4)\/14 - 351\/o and 6\/(-12) - 83\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/12 - 2 - -4. Sort -5, x, 0.\nAnswer: -5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 11100110110000010110?\nAnswer: 11100110110000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24d88 - 2?\nAnswer: 24d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 21464000 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030845418 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3299 and 7015.8604.\nAnswer: 7015.5305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 0 - 5\/3*c**4 + 0*c**7 + 3\/7*c**8 - 19*c + 0*c**6 + 0*c**2 + 0*c**5 + 0*c**3. What is the third derivative of i(v) wrt v?\nAnswer: 2880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**5\/4 + n**4\/2 - 6*n. What is the third derivative of c(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*n + 4. Let s = n + 5. Which is the smallest value? (a) -3\/5 (b) 2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -1539, 217, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 6*l - 3*f - 3401, 0 = f - 4. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-8) - 42\/(-4). Suppose 4*z + 3*l - 41 = 0, 0 = -3*z - 5*l + 28 + k. Solve -2*t + 0 - z = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -4 (c) -27.6 (d) 3 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 7 = 27. Let z = 0 - 5. Which is the second biggest value? (a) n (b) z (c) -2\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 10 + 10. Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101011001001100011111100 - -1?\nAnswer: 10101011001001100011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 445 and 20?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11*(-1237)\/(-2268) - -2 - (-4)\/1. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*r, 0 = 4*i - r - 3*r + 8. Suppose -3*z = -i - 5. Solve 0 = -j - 5*a - 13, j + 0*a = -z*a - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.14. Let k = 1.36 + x. Let s = -4.5 + k. Put s, -0.1, 0.4 in increasing order.\nAnswer: s, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9187701*l**5 - 3331*l + 5.\nAnswer: 183754020*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -13*y**3\/3 + y + 5. Let l(z) be the second derivative of 0*z**2 + 1\/6*z**4 + 0 + 76*z + 0*z**3. What is l(p(k))?\nAnswer: 338*k**4 - 52*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 52. Suppose 13*i = 11*i - o. Let d be 11\/3 + ((-20)\/i - 3). Solve a - 3*a - d = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -m + 9, a + 0*a = -5*m + 34. Let v = 6 + -26. Let l = -8 - v. Calculate the remainder when l is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9*(-9)\/12)\/(437\/4370)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1 + (17 - 1 + 10)*(2 - 5 + 4))*(-1 + 0 - 1)*((-1 + 0 - 1)*(2*o - 2*o + 2*o) - 7 + 7 + 2*o - 4*o - 2*o - 2*o) in the form d + y*o and give y.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from jxjjjjjjjjxjjjjjjxjj?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -850 + 849.99613. Round x to 4 decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11212141, -11212105, -11212069?\nAnswer: -11212033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000363193908 rounded to seven dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.4 (b) -29 (c) 8483 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 2 + sqrt(931))*6 + -3)**2.\nAnswer: 864*sqrt(19) + 43857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15*158\/3950)\/((-3)\/15)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2730, 2667, 2606, 2547, 2490, 2435?\n\"Answer: q**2 - 66*q + 2795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 390, 704163, -1 in increasing order.\nAnswer: -1, 390, 704163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*r + 2138, -4 = r - 8. Suppose 2*a = z + 101. Is 3\/(-2) - a\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29 + -11.29. Let b = -19 - t. Let s = 7.9944 + b. Round s to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: Collect the terms in -201*n + 1178*n - 192*n - 200*n - 200*n - 193*n - 190*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1780.9 + -1781. What is the closest to 2\/5 in 9, 3, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379937 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 34*g**2 + 276*g. What is j(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855966 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*i**3 - 3193407*b*i**2 + 60512330*i**3 + 8*i wrt i.\nAnswer: 12*b + 363073980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36105315 (base 7) in base 6?\nAnswer: -152252340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.252 + 0.952. Let u = 31 + -32.3. Let f = u - w. Which is the third smallest value? (a) 1\/3 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p**3\/p)\/p*p*p)\/p)\/p**(1\/6))\/(p**7*p*p**0))**(-8\/19))**(-4\/3) assuming p is positive.\nAnswer: p**(-592\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elyh when four letters picked without replacement from {r: 2, y: 2, h: 2, l: 1, e: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 31 - (-6 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 65 = -157. Let g = 3 - 3.03. Which is the closest to -1? (a) g (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.2 + 37.2. What is the fourth smallest value in -5, 14.9, 2, 3\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 640 divided by 640\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432 - 4?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 2 + 0*i**5 + 0*i**7 - 1\/12*i**6 + 0*i**3 - 1\/56*i**8 + 0*i - i**2 + 217\/24*i**4. Find the second derivative of n(j) wrt j.\nAnswer: -120*j**3 - 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 23. What is the remainder when 500\/(-40) - -13 - 3\/(-2) - -127 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 - (-7 + (-6 - -12) - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2904*q**2 + 4 - 2906*q**2 + 8712*q**2 - 2899*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 6. Let f be (10\/15)\/((-18)\/27)*-3. Suppose f*c + g*c = 1284. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3\/5 + 12288*m**2\/5 - 833379*m\/5 - 169134 = 0. What is m?\nAnswer: -1, 70, 4027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 742, 1094, 1446, 1798, 2150?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486068 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 + 275*h**2\/2 - 48251*h\/4 + 113815\/2.\nAnswer: -(h - 442)*(h - 103)*(h - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 2*f + f**3 - 382 + 443 in the form p + a*f**3 + j*f + d*f**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/9, 33, -44, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-30)\/12 - (-18)\/18. Which is the nearest to 0? (a) k (b) -0.4 (c) -28 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(4) - -1*sqrt(4)))\/(sqrt(36) - sqrt(576)).\nAnswer: -sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 595 + -2020. Let f = a + 2027. List the prime factors of f.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3444*k - 2398*k - 2307*k as o*k + l and give o.\nAnswer: -1261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 11*n - 7. Let q be l(-7). Suppose -4*d - 2*b + q = 3, -14 = -3*d - 2*b. Factor -o**d + 0*o**4 - 3*o**2 + 4*o**2.\nAnswer: -o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 125.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.162955 millennia?\nAnswer: 41.62955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43413 (base 14) to base 11.\nAnswer: -101267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/7 and -145\/3054.\nAnswer: 21378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63 - -47?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let x(a) = -a**3 + 11*a**2 + 3*a. Let u(y) = 3*h(y) - x(y). Let f(r) = -r**2. Calculate -66*f(m) + 6*u(m).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/7, 0.3, 6.\nAnswer: 0.3, 24\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 + 1231 = 140*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5760*581.\nAnswer: -3346560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 700\/(-18) - (-1)\/(-9). Let c = k - -42. Suppose 0 = c*a - 621 + 33. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3043135\/6 or 507188?\nAnswer: 3043135\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*o - 9 = 3*d + 289*o, -5*d = 3*o + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -27\/153202?\nAnswer: -27\/153202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paap when four letters picked without replacement from ppaapapapa?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/98788 and -69\/1432426?\nAnswer: 2864852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iizziiztzzizitz. Give prob of picking 3 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6247387036 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12 - 3*m + 7 - 10. Let i be 1 + (-85 - -1)\/6. What is the remainder when j(i) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 + -113. Let q be ((-6)\/(-4))\/(n\/10). Solve -4*c - 9 = -5*c - 3*s, -3*c - q*s + 9 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f**3 + 3376*f**2 - 3750*f + 3736. Determine j(374).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -43222 <= 1\/4674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v. Let a(u) = 5*u - 4. Give r(a(w)).\nAnswer: -45*w + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79030, 158060, 237090, 316120, 395150, 474180?\nAnswer: 553210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -1\/315*f**7 + 0*f**4 - 1\/90*f**5 + 4*f**2 - 1\/90*f**6 + 0*f**3 + 0 + 0*f. Factor a(m).\nAnswer: -2*m**2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 + 7)*(2*s + 5 - 5)*(0 - 3 + 4).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -875 times -1119?\nAnswer: 979125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6460467.91 and 1457.\nAnswer: -6459010.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u - 60 = 0. Suppose -4*d - 2*x = -4, 3*d + 4*x = 4*d + 8. Suppose 3*j + j - u = d. What is the greatest common factor of 12 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 759 and 10005?\nAnswer: 110055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2901866?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 + 8. Let r = p - -2.9. Which is the third biggest value? (a) 3\/7 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-8)*(928\/(-435) + (-8)\/(-60)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4 and (-13 - 120)\/(-24 + 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 2. Let v = -1.9 + l. Let a = 14783 + -14778. Is a less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v**2 + 170*v + 4. Let d be n(17). Sort -5, d, -13, -1 in ascending order.\nAnswer: -13, -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110222120122122 (base 3) to base 10.\nAnswer: -6900461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(1700) + 1) + -1.\nAnswer: 7 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(4032) - (sqrt(4032)*-1 + sqrt(4032))) + -6*sqrt(28)*2 + sqrt(28)))\/(3*((sqrt(144) + sqrt(144)*-3)*5 - sqrt(144))))**2.\nAnswer: 7\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -338 or -421?\nAnswer: -421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 - 6*a. Let g be j(-5). Let z = g - 18. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 17 + 6)*(17 + 2*k + 18 + 13) in the form x + z*k and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**11)\/m*m*m\/(m*m**(2\/31)\/m)*m*(m**(-5))**19)**(-6\/5) assuming m is positive.\nAnswer: m**(18984\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**6*t)\/(t*t\/(t**(-2)*t)*t))\/(t*t*t\/((t*t**(-9))\/t)*t\/(t\/(t\/(t**(-1\/4)\/t)))*t))\/(t**(1\/12)*t**(-5)\/t*t**(-2\/3)*t**(-2\/17)) assuming t is positive.\nAnswer: t**(-283\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 4*t**2 - 3*t + 6. Let q = 6 - 11. Let n be g(q). Sort 5, 4, n in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90598 and 25414.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5274\/1465 - (-6)\/(-10). What is the greatest common divisor of 526 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 144. Let a be 33\/h - 110\/8. Let v(t) = -7*t + 5. Let g(s) = -15*s + 11. Give a*v(l) + 6*g(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 3*n**2\/2 - 1. Let d be 24 - 58 - -57 - 20. Let w(a) be the third derivative of -a**4\/12 + 2*a**2. What is d*y(f) + 5*w(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 242*z**5 - 575498*z**4 + 342747840*z**3 - 714938472*z**2 + 474382656*z - 101616768 = 0.\nAnswer: 6\/11, 1, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -13516b0?\nAnswer: 13516ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((28 - 7) + 13) - 2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22835122.\nAnswer: 2, 29, 393709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.1 + 26. Suppose 1 = w - t + 8, 0 = 4*t - 12. Sort 0.5, w, p in decreasing order.\nAnswer: 0.5, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96462.03652 rounded to the nearest integer?\nAnswer: -96462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and 4.0814.\nAnswer: 4.1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -114 (c) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a04 + -3?\nAnswer: a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -252121?\nAnswer: 252130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3875 - -3875.07004. Let x = -0.070044071 + g. Round x to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -72*f**3 + 4*f**2 - 24*f - 80. Let w be d(-4). What is the highest common factor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*b**2 + 1353*b**2 - 679*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/651*(-175)\/(-20))\/((-5)\/(-14))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*a + 5*a = 14, i - 3*a + 5 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.6, -3\/5 in increasing order.\nAnswer: -3, -3\/5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32757\/230 + 712\/5. Suppose -3 = l, o + 2*l + 7 + 1 = 0. Let b be 17\/(-35) + o\/(-10). Are b and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1175, 4.\nAnswer: -4, 4, 1175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*x - 3. Let s = x + 7. What is the units digit of (3 + -4)*(s + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 31857*z**3 + 205*z**2 + 205*z. Let a(x) = 937*x**3 + 6*x**2 + 6*x. Calculate -205*a(i) + 6*t(i).\nAnswer: -943*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h. Let o(k) = 4*k**3 - 6*k**2 - 5*k. Suppose y = -40*v + 37*v + 2063, -v - 3*y = -701. Let j = v + -681. Give j*u(t) + o(t).\nAnswer: 4*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l**2 + 21*l - 22. Let d(u) = -10*u**2 + 17*u - 19. Let i(n) = 5*d(n) - 4*x(n). Let s(f) = f**2. Calculate -i(b) - 4*s(b).\nAnswer: 2*b**2 - b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/21*7)\/9)\/((-38)\/(-3306))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -4)\/15*1350\/540?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314569 is divided by 4808.\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 13*q**2 + q + 1. Let j = 8 + -4. Suppose 4*l = -j*n, -5*n - 2*l = -6*l + 9. Give h(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 13*u + 13. Is g(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3468 * 13\nAnswer: 45084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*a + 36. Suppose 3*l - a*l + 15 = 0. Suppose -120 = l*w - 430. Is 61 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001101111001100 (base 2) to base 9.\nAnswer: -120584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 240*b**2 + 220*b + 5069. Determine j(241).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f + 1. Let a(c) = -13*c + 236. Give a(p) - z(p).\nAnswer: -p + 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16844, 68235, 153896, 273833, 428052, 616559, 839360?\n\"Answer: a**3 + 17129*a**2 - 3*a - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 12*b - 8*b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from xmmxxrimxmrrmm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1310235442?\nAnswer: -1310235442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*b + 13. What is the second derivative of -2 + 10*m**b + 2 - 13*m**3 + 5*m wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364 divided by -11.\nAnswer: 364\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:14 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from {k: 1, p: 2, r: 1, v: 1, l: 1, m: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/250, -1\/2, -15.55, -18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 11*z**3 - 2 - 13*z**3 + 4*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*s**2 - 40*s**2 + 5*s**2 + 8 in the form c*s + y + w*s**2 and give w.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4 + 296*w**3 - 7149*w**2 + 35010*w - 48600 = 0?\nAnswer: 3, 20, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 11:03 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/390 - g**5\/78 + g**4\/78 - 35*g**2. Solve n(t) = 0 for t.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*n - 2077 - 4135 = -10571 - 12381 for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90335873 is divided by 862.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 12*w**2 - w + 2. List the prime factors of s(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/2 - 285*l**2\/2 + 431*l - 288 = 0 for l.\nAnswer: -288, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -6*j + 13. Let r be (0\/(-2))\/(j + -8). Suppose r*a = a. Solve a = -s - s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4355 - 4733 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 11*v - 2. Let a be h(3). Let o = -17 + a. Differentiate -8*l**2 - 25 + l**2 - o*l**2 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -1 - sqrt(162) - sqrt(2) - sqrt(32)*2)*-2 + 1*sqrt(2) + -4 + sqrt(2)*-2 + -1.\nAnswer: -3 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19814 take away 0.4?\nAnswer: -0.59814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -7 - -2) + 2 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -4*(sqrt(275) + -1) + 0 + sqrt(275) + sqrt(275) + 0 + -3 + ((sqrt(495) - sqrt(55))*-2)\/(sqrt(5) + (sqrt(20)\/sqrt(16) - sqrt(5))))**2.\nAnswer: -26*sqrt(11) + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(2448) - (2 + sqrt(2448))*-5)*-2*5.\nAnswer: -720*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t + 24 = 0. Let l(d) = 12*d - 99. Let g(w) = -4*w + 33. Let h(o) = -11*g(o) - 4*l(o). What is the tens digit of h(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -18, 0.1, -5.\nAnswer: -18, -5, 0.1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:18 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x**2 - 5374*x - 5390 = 0. Calculate x.\nAnswer: -1, 2695\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-1 + -1 - 16\/(-7)) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -8.65?\nAnswer: -25.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894 = -288*u - 1102 + 1420 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5005343987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 129.33171 and -0.24.\nAnswer: -31.0396104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {w: 1, t: 1, g: 1, f: 2, o: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 4:18 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -671 = -38*a - 101. Solve 3*c + a = x, -x - 8 = c - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 13. Let g(w) = -2*w - 4. Calculate the remainder when o is divided by g(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shskppz. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217, -703, -8, 2, 0.1 in ascending order.\nAnswer: -703, -8, 0.1, 2, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(6*sqrt(44)\/sqrt(4)))\/((sqrt(4356) + sqrt(4356)*-2)\/sqrt(9)).\nAnswer: -sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*m)*(7 - 7 + 2*m**3) to the form c*m + s*m**2 + f*m**4 + o + y*m**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 3*v)*(4 + 16 + 7)*(1 - 1 - 2*v)*(0 + 3 - 2).\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 8 = -28*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2299) + (sqrt(2299) + sqrt(2299)*3)*-1 - (sqrt(2299) + (sqrt(2299) - -2*sqrt(2299)) - sqrt(2299))*-1)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 = -3*n + 16, -2*t + 1 = n. Let f be 165\/(-10) - (-1)\/t. Let x be (f + 13)*(-2)\/4. Solve x*z + z + 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 3*2\/6. Suppose 0*o - l*o = -21. Suppose 0 = -5*a + o + 33. Put 2, a, 4 in increasing order.\nAnswer: 2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -14, -4, 16, 46, 86, 136?\n\"Answer: 5*l**2 - 15*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -196, -197, -198, -199, -200, -201?\n\"Answer: -b - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*c - 62*c - 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -38. Suppose -5*g = -2*k - 10, -6 = k + 5*g - 31. Suppose r - k = -0. Solve h - r*h = -p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -83*q**5\/20 - 103*q**2\/2 + 34*q. What is the first derivative of z(d) wrt d?\nAnswer: -249*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -1\/16 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12582032.\nAnswer: 2, 31, 25367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-3286*t + 1635*t - 22 + 1627*t) in the form q + i*t and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -2860\/37?\nAnswer: -2860\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Suppose 30 = 3*g - f*g. Let o(k) = k**3 + 2*k**2 + 3*k + 31. Let l be o(0). Which is greater: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 12.7. Let l = 0.7 - q. Let t = 4.1 - 0.1. Which is the third smallest value? (a) 2 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4513 - 15678499\nAnswer: -15673986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 16*t + 91. Calculate the remainder when 405 is divided by q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*h - 421, 7*u - 2*u - 234 = -3*h. Let d = -47 + h. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610278364 to the power of 1\/2, to the nearest integer?\nAnswer: 51091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15064, -121082, -408962, -969634, -1894028?\nAnswer: -3273074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 + 784*r - 1365. Let d be m(-167). Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*b**2 - 5 - 13*b**2.\nAnswer: -11*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 4. Let k be r(-3). Let x = -22 - -22. Suppose -n = -x*d - 3*d + 27, -k*d + 45 = 5*n. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/9 (b) 32\/9 (c) 0.4 (d) 19\/11 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:16 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2326 + -2306. What is the remainder when 798 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 0. Suppose -4*f + 5 - 1 = 0. Let v(r) = 4 + f - 3 + r. Calculate v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 33823858.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-44)\/(-16) - 3)\/((-9)\/36). Let f be (45 - 39) + (l*-2)\/(-2). Put f, 0, 3 in descending order.\nAnswer: f, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 - 341 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21097640*s**3 - 144595783*s**2 + 1?\nAnswer: 126585840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 13. Calculate the remainder when 26 is divided by h(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-47294)\/(-428) + (-5)\/2. Solve 3*l - 39*l - m = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8251.9 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 24*g + 132. Let x be d(-16). Factor 15 - c**4 - 4*c**x + 17*c**2 - 40*c - 5*c**2 + 18*c**2 + 0*c**4.\nAnswer: -5*(c - 1)**3*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 6. Let a be h(-4). Let j = -560 + 568. List the prime factors of 38 + a*(-4)\/j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a week?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.1. Put -0.01, t, 3 in ascending order.\nAnswer: -0.01, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 27*t - 2408. Determine g(46).\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75001 - 6194 = 83*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -9 - 7 - -11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24631 and 5.75.\nAnswer: -141628.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**3*y**2 + 117*i**2*y**3 - 678*y**3 + 3*y**2 wrt i.\nAnswer: 9*i**2*y**2 + 234*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-10)\/(132\/504 + 5 + (-897)\/182).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -269*g - 3123. Let y be f(-12). Solve 0 = -0*o + 21*o + y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3600 and 40665?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*h - 20. Suppose v = 4*x - 2 + 1, 2*v = -h*x + 10. Let z(k) = -k**3 + 4*k**2 + k + 2. Let y be z(v). Solve -c = 4*f + y, 2*f = 2*c - 5*c - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*t + 292 - 303, 0 = -3*a + 2*t - 41 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**3 - 19*s + 10. List the prime factors of l(-5).\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*q - 7 + 56 - 83*q.\nAnswer: q + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 0)*(239 - 239 - 49*n + (0 - 1 + 0)*(-2*n + 4*n - 4*n)) + (3 - 6*n - 3)*(2 - 4 + 3) to l*n + f and give l.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1872 and 87.\nAnswer: 54288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -12\/62165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 202 - 204. What is the nearest to j in 1\/4, -2\/9, -0.2, -2\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*m - 10, -5*a = -5*m - 70. Let v(c) = -c**2 + 9*c + 10. Let d be v(a). Suppose -n - n + 1706 = d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 6:01 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101704\/9 - -11300. What is the third smallest value in 0.28, o, 2\/75?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*s + s. Suppose -3*h = 2*h + q + s, -12 = 4*h + q. Let u(r) = -r**2 + 4. What is u(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -0.3 (b) 0.5 (c) 0.6 (d) 5 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = -58. Let j = z - -5. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/(2\/(-468)). Is z\/(-3) - (-4)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 5*j**2 + 4. Let i be f(5). Suppose 109 = r + 41. Suppose -3*s + 51 = -5*h, 0*s = i*s - 4*h - r. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513490 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 - (-506349)\/15 - 812\/(-580)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 7. Suppose -f = -5, 9*q - v*q = f + 20. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27989, 55957, 83925?\n\"Answer: 27968*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.4817 to 1 dp.\nAnswer: 42.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - t = 0, -j + 0 = -5*t - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 174609 = 126831. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p + 1575 = 78*p. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**2 - 5*m + 4. Let r(w) = -7*w**2 + 5*w - 5. Let d(k) = -5*r(k) - 6*s(k). Is d(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2126510736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 39*c + 45. Let i be m(8). Let g = i - 56. List the prime factors of g.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 425 = -2*n. Suppose 0 = 3*g + 2*g - n. Suppose 3*v = 25 + g. What is the remainder when 27 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/4 - 6013*d**2\/2 = 0?\nAnswer: 0, 12026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-66) + 886\/6. Let j = -80 + a. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -44?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -109, -104, -107, -124, -161, -224, -319?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 3, -0.4, 6.8, 1\/5 in descending order.\nAnswer: 6.8, 3, 1, 1\/5, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*i + 2*o, -6*i - 25 = -11*i + 3*o. Suppose 5*j = -0*j + 135. Suppose -3*q + 2*b + 4 = -6*q, 0 = q - 5*b - j. Solve 0*u - i = -q*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 38405934?\nAnswer: 192029670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 203\/2. Let m = 2 + -1.7. Which is the closest to q? (a) -6\/7 (b) -4\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, y: 3, g: 1, n: 5}. What is prob of picking 1 n, 1 y, and 1 g?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 12*u + 6. Let n be w(12). Suppose 12 = 5*f + 4*k, -f + 2*k + n = -2. Solve 0 = 8*g - 4*g + f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:07 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2440\/(-616) + (-11)\/22*-5*(-30)\/(-525)?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 9*v**2 + 3*v - 1. Let r be h(8). Let n = 33 - r. What are the prime factors of n?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 53 + r**2)*(4*r + 13 - 13)*(3 + r - 3).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/5 - 1824*k**2\/5 - 1818*k\/5 + 3644\/5 = 0. What is k?\nAnswer: -911, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from {q: 2, l: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 19240.\nAnswer: 38480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 387*b + 776. Let d be x(-2). Solve -2*o - d*k - 27 = -19, -18 = 4*o + 5*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331125 + 331125 - 5*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012112584 to five dps.\nAnswer: -0.01211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/(-847))\/(18\/(-33)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -3\/5, -2448\/13, 1\/10.\nAnswer: -2448\/13, -3\/5, 1\/10, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15587, 62352, 140299, 249434, 389763?\nAnswer: 561292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((10 - (-30)\/3) + -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**5\/150 + x**4\/15 + 17*x**2. Factor u(p).\nAnswer: 2*p*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0, -14\/9, -0.5, 0.9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -11448534.\nAnswer: -1\/5724267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 477777508 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 + 8 = 5*r, 0 = -5*r - 4*i - 2. Solve 0 = 2*u + r*t, 3*t - 6 = -5*u - 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -328715, -328776, -328943, -329270, -329811?\n\"Answer: -9*f**3 + f**2 - f - 328706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1012 divided by -2\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 t, 1 a, and 1 j when four letters picked without replacement from ackjaajjjacjatjcjaj.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 5 + 0*j - 2*j + 7*j in the form g*j**2 + p*j + a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 + 0.07. Which is the second smallest value? (a) -5 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3770349, 3770341, 3770333, 3770325, 3770317, 3770309?\nAnswer: 3770301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1098522 divided by -6\nAnswer: 183087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 3. Solve 0 = 4*y - 1 + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 923 and 2627?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 146110 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 20*g. Let d(k) = -6 + 8*k + 5*k + 6 - 10*k. What is d(u(s))?\nAnswer: 60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times -1010?\nAnswer: -50500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 7. Let s be q(3). What is the units digit of ((-1)\/1)\/(s\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i + 48 = 26*i - 4*a, -261*i - 2*a = -502 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)*i**(7\/2) assuming i is positive.\nAnswer: i**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 3*s. Let y be r(-3). Suppose y = -3*b - 5*n + 3 + 2, 2*n - 8 = 0. Let d be (3\/9)\/(2 - 3). Sort b, d, -2 in descending order.\nAnswer: d, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccukcuu. What is prob of sequence kuu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -62 and 6.004.\nAnswer: -55.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1\/7 (c) -1 (d) -5\/7 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**3 + 113*d**2 + 140*d + 33. Determine z(-10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 10, d: 2, k: 4, w: 1}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q)\/q**(1\/5)*((q*q**(-1))\/q)**(18\/11)*(q**0*q)**3*(q\/(q\/((q\/q**1)\/q)))**26 assuming q is positive.\nAnswer: q**(-1531\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 5. Calculate the smallest common multiple of 246\/g + (-12)\/(-42) and (-1)\/2*2 - (-3 - 31).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100 + -100110?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*s + 31, -4*r - 27 - 5 = 4*s. Let t = 2396 - 2396. Sort t, -4, 5, r in decreasing order.\nAnswer: 5, t, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 4*x. Let r = 18 + -23. What is f(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -110, -57, -4, 49, 102?\n\"Answer: 53*d - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*f + 90 = 0. Let i be 48\/f + (-4)\/10. Is 4*i\/(-8)*77 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 140 = 3*h. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -709, -679, -649, -619, -589?\n\"Answer: 30*q - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/1400 + 8963\/1400. Suppose -3*p + 21 = b, -5*b = -4*p - 3*b + 28. What is the common denominator of d and (5\/3)\/(p\/(-70))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006052399196 rounded to six dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -36855*p - 3611801. What is y(-98)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004585208255 to six decimal places.\nAnswer: 0.004585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 20466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 23. Let p = -1 + 1. What is the tens digit of d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195 + -158. Calculate the remainder when 138 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25656, -102663, -231010, -410697, -641724, -924091, -1257798?\n\"Answer: -25670*p**2 + 3*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 110100110100 (base 2) to base 4\nAnswer: 310310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -6 + 27\/5*b + 1\/5*b**3 + 9\/5*b**2. Factor r(w).\nAnswer: 3*(w + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 71 = 13. Suppose 90 = 2*k - 84. Suppose k - 78 = d. Solve -4*a + b = d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 2749 + 5195. Let q = z - 561. Suppose -2*w + q = w. What is the greatest common factor of w and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-2\/9))*v**(2\/7)*(v**(-6)\/v)\/v**(-1\/2))\/((v*v\/v**1)**(-50)\/((v\/v**4)\/(v\/(v*v**5*v)))) assuming v is positive.\nAnswer: v**(5923\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:45 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(475) + sqrt(475) - 1*sqrt(171).\nAnswer: 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2. Let s(v) = 1170371*v. Give s(y(t)).\nAnswer: -1170371*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3 - 62 = 0. Let i = -9 - l. Let y(p) = p**2 - 4*p. Let f be y(i). What is the biggest value in 1\/3, 1\/4, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzlxrik. Give prob of picking 1 z and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 5:20 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 10*c**3 - 2 + 0 - 7*c**3 - 33298*c**2 - 2*c**4 + 33299*c**2 + 3*c**3 to i*c**4 + d*c**2 + h*c + f + x*c**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -12. Suppose -11*p = 20 + 24. Let g = y + p. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20, -5139, 1, 11 in decreasing order.\nAnswer: 20, 11, 4, 1, -5139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, b: 2, x: 2, z: 6, n: 7}. Give prob of picking 2 b, 1 z, and 1 y.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 2:16 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/(-1608)*8004\/(-116)?\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115188?\nAnswer: 2, 83, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from tgtgtfggftgt.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1361, 56 in decreasing order.\nAnswer: 1361, 56, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53400 divided by 6.\nAnswer: -8900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 30 + 38*i**2 + 4*i**2)*(-2 - 2*i + 2)*(7*i - 13*i - 6*i) in the form u*i**3 + l + q*i**2 + v*i + m*i**4 and give m.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 3*p + 2, -12 = -4*c. Suppose p = -i - 3*i + 16. Calculate the common denominator of (198\/(-32))\/((-6)\/i) and 28\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-64)\/(-80)*1\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19831263 rounded to four dps?\nAnswer: -0.1983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (2 - 5) + (-6 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xffxxggawafn. What is prob of picking 1 w and 1 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 + 138. Let u(v) = -v**3 + v**2 + v + 1. Let c(x) = 30*x**2 - 85*x + 55. Let z(j) = r*c(j) - 5*u(j). Factor z(g).\nAnswer: 5*(g - 3)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -14. Solve h = 3, 4*v + i*v = -h + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 981.606 rounded to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.03, 5, 0.1, -972.4, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144*r + 125 wrt r.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**5*o**20)\/(o**1*o*o)**(-17\/3) assuming o is positive.\nAnswer: o**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10032 divided by 236.\nAnswer: -2508\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-25 - (-19 - 39))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -2\/341, 810\/19 in descending order.\nAnswer: 810\/19, 5, 0.3, -2\/341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004819006 rounded to 5 decimal places?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 77*v**2 - 163*v + 400. Calculate s(79).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.4 + 7. Let r = h + -3.6. What is the second biggest value in -7, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(45) - sqrt(45)*2*-5 - (sqrt(3645)*-2 - sqrt(3645))))\/(sqrt(729)*5 + (-4*sqrt(90))\/sqrt(10)).\nAnswer: -152*sqrt(5)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/3 + 440*j**4\/3 + 2134*j**3\/3 - 3536*j**2\/3 - 6880*j = 0. Calculate j.\nAnswer: -215, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)*(-4 - -3). Suppose 0 = -3*o + 4*a + 4, 3*o + 2*a + 3 = t. Solve 4*b + m + 5 + o = 0, 25 = 5*b - 5*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -437 (base 11) to base 4\nAnswer: -20030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/7832 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 221\/57 in 4, -1, 0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3 + 82925.37814?\nAnswer: 82935.67814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54121 or -8496822\/157?\nAnswer: -8496822\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*a + 15*a + 16*a + 12*a - a**2 + 15*a - 2*a**3 + 3 as t + c*a**2 + m*a**3 + z*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/24970 and 13\/7491.\nAnswer: 74910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2564*s = 108*s + 29392 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 202*z + 2214. What is i(-12)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29015998 is divided by 8130?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0567 times 396\nAnswer: -22.4532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825680?\nAnswer: 2, 5, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in -2.4, -2.445, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -28820, -0.4, -2\/3, 1?\nAnswer: -28820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - 1 - (0 + (-748)\/228) and 71\/152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 5 + 13830\/((-15)\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1\/6, -6685, -566\/11 in ascending order.\nAnswer: -6685, -566\/11, -1\/6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 1\/5 (c) 166.55 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/364 and -103\/5527236.\nAnswer: 38690652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23371 - -37672. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2162 and 67458.98?\nAnswer: 69620.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1\/2)*(-21 - -22).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -611 + 802. List the prime factors of g.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -268*c + 220 + 138 - 23 - 261*c + 523*c in the form o + v*c and give o.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -39, -710, 5, 2.\nAnswer: -710, -39, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 8*a**2 + a + 44. What is the least common multiple of 14 and m(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6745425 (base 8) to base 13\nAnswer: -4ba0b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5 - 154*p**4 + 896*p**3 - 1184*p**2 = 0. Calculate p.\nAnswer: 0, 2, 4, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 20. Is 5 a factor of -1 - ((-6 - t) + -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/358 - -10843\/1611. What is the common denominator of (-6)\/(-21) - 195\/(-28) and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 10*x - 10. Let c(o) = o**2 - 9*o + 9. Let h be c(5). Let y be t(h). List the prime factors of 24 + (-5 + 5)\/(y*-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.23 and -2.\nAnswer: -1.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73822 is divided by 24598.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 20*o**3 - 5*o**2 + 3*o + 5. Let j(c) = 21*c**3 - 6*c**2 + 4*c + 6. Suppose -60 = 10*l + 5*i, 5*i - 7*i - 29 = 5*l. What is l*j(y) + 6*k(y)?\nAnswer: 15*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 283, -0.16, 180, 4?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3476.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**2. Let u(t) = -67273403*t**2. Determine u(p(s)).\nAnswer: -3296396747*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 28403 (b) 13 (c) 2\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -373c6?\nAnswer: 373bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l - 29. Suppose 162 = 58*p - 1056. What is y(p)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -290 + 290.044. Let i = 63.9 + -61.856. Let k = o - i. Which is the second biggest value? (a) -2\/7 (b) 1\/5 (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(sqrt(147) + -3) + 1 + -3*sqrt(147)*1 + 2)**2 + -1.\nAnswer: -336*sqrt(3) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 1)*(-3*j + j + j) - 35*j - j - 7*j)*(-3 + 6 + 2).\nAnswer: -220*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6)\/sqrt(3) + sqrt(2) + -6*-2*sqrt(2))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 12:33 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1383, 2748, 4101, 5436, 6747, 8028, 9273?\n\"Answer: -y**3 + 1372*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29591693 is divided by 2266.\nAnswer: 2265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1097609 - -0.2?\nAnswer: 0.3097609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -28, -51, -92, -157, -252, -383?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 21 = -5*n. Let j = n + 10. Solve -5*i = -3*h - 3 + 1, 3*i + h - j = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 56 = 3*d. Suppose -d*g + 2*g = -9. Solve 2*t = 4*l - 18, 2*t + l - g = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15))\/(2\/((-4)\/(-3)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k - 0*k, 0 = 4*g - 2*k - 6. Let y be (11 - 6) + (-2)\/g. Is 12 a factor of 0\/1 - -4*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + 6*h**2 + 5*h + 4. Suppose -3*z + 18 - 3 = 0. Let y be r(z). Let x = y - 1799. Round x to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 159*o - 163*o - 22, -27 = 3*o + 3*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -481, 3, -1 in increasing order.\nAnswer: -481, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 8*l - 5. Let c be z(7). Find the third derivative of -2*b**c + 4*b - 2*b**5 - 4*b wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.175 * 5\nAnswer: -0.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*l**2 + 2*l**3 + 35*l**2 + 2*l + 27*l**2 + (-l + 2 - 2)*(10*l**2 - 4*l**2 + 2*l**2).\nAnswer: -6*l**3 + 6*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*t + 26080 = -97*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 128 = 4*i. Let n = -261 - -286. Let q = n - i. Are q and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14*2\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/((-5320)\/228))\/(2\/56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/72 - (1 - 5\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -4. Let q be 183\/1*4\/n. Let y = -1279\/7 - q. Which is the closest to y? (a) 0.1 (b) -1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 2\/5, 6, 3, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + f**2 + 2*f**2 + f**2 + 0*f + 0*f + (f - 2*f + 0*f)*(f + 2*f - f) - 2*f**2 + 0 + 0 - f**2 - 3*f**2 + 3*f**2 + 0*f**2 - 5*f**2 + 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 2*i - 2. Let s be 90\/21 + 2\/(-7). Let h be j(s). Let g(q) = 2*q - 8. List the prime factors of g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.3 + -12. Let d = -2.91 - 1.09. What is the fourth biggest value in 0.4, d, 0.01, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*w + 1038 + 825 = -1487. What is the remainder when 181 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-20))\/((-20)\/(-40)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 61897705 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9660 divided by 6\nAnswer: -1610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -14021.7492.\nAnswer: 2804.34984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106142111 + 106142079.9169914. Let g = -0.0819286 - k. Let y = -31 + g. Round y to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 19*m - 418 = 0. Is 36 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52694 is divided by 8438?\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 310312 and 1674?\nAnswer: 259731144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meemzme. Give prob of sequence mm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 17, 18, 21, 26, 33?\n\"Answer: g**2 - 4*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 0.0557 (c) 661 (d) 0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.501 + 1.001. What is the fourth smallest value in -0.3, 0.3, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684141.\nAnswer: 3, 97, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 + 115. What is the highest common divisor of 171 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0 + 1\/6*d**4 - d - 7\/6*d**3 + 5\/2*d**2. Let k be 1\/2 + 7\/2. Calculate l(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 214203?\nAnswer: 214143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294407729 to the nearest integer?\nAnswer: 17158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -681*z**7\/7 - 1816*z**3 - 8257. Find the third derivative of s(m) wrt m.\nAnswer: -81720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and -7608.\nAnswer: -7616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60959886 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 2)*(-4*p + 5*p + p)*(0 + 0 + 2*p**2 + (0 + 0 + 2*p)*(5*p - 4*p + p) + 3*p - 3*p + 2*p**2).\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -16*r**2 - 807*r - 357. Let a be x(-50). Let p be 50\/15 + (-1)\/3. Suppose 3 = -o, -2*o = -p*f - 4*o - 15. Put a, -1, 3, f in increasing order.\nAnswer: a, f, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + 3. Let j = 26 - z. Let p = 232.6 + -233. Which is the nearest to 0? (a) j (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6083\/(-158))\/(10\/(-45)*(-3)\/8*6)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-5))\/(1*-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5, 86, 0.5, 4, 1, -7\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.81 plus -0.1970129?\nAnswer: -2.0070129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -94, -1 in ascending order.\nAnswer: -94, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n + 97. Let f be c(-19). What is the tens digit of (69\/f)\/((-30)\/(-24))*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**4\/12 - 5*x**3\/6 + 13*x**2\/2 + 2*x. Let j be d(-6). Suppose 8*v = j*v. Solve v = -2*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292403 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42143696\/448*8\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 5052.\nAnswer: -5047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, -11, -64, -171, -350, -619, -996?\n\"Answer: -3*r**3 + 4*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-59)\/(-9) + -1 + (-104)\/(-72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 15*a + 1. Let q(o) = -o - 1. Determine 3*q(w) + u(w).\nAnswer: 12*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16734.1 + -16734. What is the second smallest value in -2\/47, a, -84?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/25 and 27\/539920?\nAnswer: 2699600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*u + 16*u - 35*u)*(4 - 5 - 1)*(21*u + 10*u - 7*u) to z*u + c + b*u**2 and give b.\nAnswer: 2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 397, 393, 387, 379?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 189\/(-18))\/((-7)\/14)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937 is divided by (24\/5)\/(-9 - 2448\/(-270))?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117499521 or 117499512?\nAnswer: 117499512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = 4*n + 18, -3*n = 3*g + 3. Let v(s) = -3*s + 1. Let b(j) = -2*j. Let t = 2 - -1. Let f(k) = n*b(k) + t*v(k). What is f(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - -303. Let j = 356 - q. Let x(o) = o**3 - 13*o**2 - 12*o - 27. Give x(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**2 - 89*g. Let a(q) = -q**3 - 5*q**2 + 5*q + 3. Let h(t) = -a(t) - 3*o(t). Determine h(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -828784, -1657217, -2485664, -3314131, -4142624, -4971149, -5799712, -6628319?\n\"Answer: -a**3 - a**2 - 828423*a - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let v be 3\/(255\/10) - 3634\/(-34). Let m = -109 + v. Let t(r) = -r - 3. Calculate m*t(i) - 6*h(i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -51698808\/31 at most -1667704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 (base 11) in base 9?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*i - i + 2 = 0, -c + 2*i - 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(-2 + sqrt(192)*1)*-5)**2.\nAnswer: -76800*sqrt(3) + 470400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 7. Let h be -1 - 2 - (-14 + 14). Let j be p(h). Let u(l) = 2*l - 3*l - j*l + 5*l. Let i(d) = 7*d**2. What is i(u(n))?\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2025)\/5400*-1*288\/4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160288, 320578, 480870, 641164, 801460, 961758, 1122058?\nAnswer: 1282360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.6 - 42. Let i = -13 + 13.3. Which is the third smallest value? (a) 4\/7 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 0*b - 5*b)*(b - 5*b - b)*(2*b + 1 - 1)*(-3 + 1 + 4).\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1. Let b(h) = 5*h**3 - 2*h**2 + 2*h - 1. Let k be b(1). Let z be (-24)\/8 - (16\/(-7) + -1). Sort v, k, z in ascending order.\nAnswer: z, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8)\/(5\/(-20)). Calculate the smallest common multiple of 5 and -2 + 0 + (5 - s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4*w - 2)*(1 - 5 + 2)*(w**2 - 3*w**2 + w**2 + (2*w + 2*w - 6*w)*(w - w + w) + 3*w - 3*w - w**2) as h*w**3 + f*w**2 + m*w + n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44 + -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2334 + -63?\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 18. Let d be q(-8). Let f be ((-8)\/56)\/(d\/(-4)). Let k = 0.1 + -0.1. Which is the second biggest value? (a) k (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 149*d - 6*d**2 + 66 - 255 - 611 + 117*d wrt d.\nAnswer: -12*d + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 5*c**2 - 9*c**2 + 2 + c**3 - 35*c**2 in the form f + x*c + t*c**2 + m*c**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379243415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) -1.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35577073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -v + 2*v. Let g be 29054\/3582 + 28\/(-9). Solve -y - 3 + 15 = v*k, -3*k + 30 = -g*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3084731, -3084727, -3084723, -3084719, -3084715?\n\"Answer: 4*d - 3084735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s + 4*k + 16, -3*s + 4*k = -32. Solve -6*w = -s*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and 0.66.\nAnswer: -22.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 4 - (7 - 7). What are the prime factors of (-30)\/m*(-28)\/(-6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b**(-1\/5)*(b**0)**(1\/3))\/((((b*b**(1\/9))\/b)\/(b*b\/b**6*b))\/(b**(-2\/5)\/b*b**5)) assuming b is positive.\nAnswer: b**(97\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 17*n**3 - 15*n**2 - 5*n - 9. Let g(q) = 4*q**3 - 4*q**2 - q - 2. What is 9*g(f) - 2*r(f)?\nAnswer: 2*f**3 - 6*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 13*w**2 - 14*w - 17. Let i be d(-12). Calculate the lowest common multiple of (96\/56)\/(1\/i) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 10:00 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 196888351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211982.\nAnswer: 2, 83, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 1, j: 5, y: 3, l: 4, k: 5}. What is prob of picking 1 l and 2 k?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.0000053 - -19. Round h to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67.2 in 0, 2.5, 0.3, -325?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90708, -181412, -272116?\nAnswer: -362820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 342 + 15*w - 158 - 3*w**2 - 176 - 110 to r + j*w**2 + s*w and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**2. Let f(a) = a - 2. Calculate z(f(d)).\nAnswer: -8*d**2 + 32*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(5 + -3 + (sqrt(304) - (sqrt(304) - sqrt(304)*2) - sqrt(304)) + sqrt(304)))**2.\nAnswer: 1152*sqrt(19) + 43915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (1 + 1 + -1). Let n be (-14)\/b - (-4)\/12. Solve 2*r - n - 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 3*m**2 - m - 3. Let c be b(-3). Solve -3*y + y - 8 = c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4425 and 22467200?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 435. Suppose -3*z + 210 = g. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2142 and -3.40522.\nAnswer: 7293.98124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 278223\/20 - 13908. What is the common denominator of c and 149\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 2*x**2 + 10*x - 4. Let w be h(3). Suppose -34856 = -w*m + 27*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45114059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/23, 2, -35 in descending order.\nAnswer: 2, 5\/23, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5139*f - 5644*f - 5103*f + 15904*f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 26.00018. What is u rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9*g*g*g**(12\/11)*g*g)**(-34\/5)*g**1*g**(-3\/10)*g**1\/(g\/(g**2\/g)) assuming g is positive.\nAnswer: g**(-10353\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 4, 67, -6 in decreasing order.\nAnswer: 67, 4, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3646?\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16310264 to the nearest integer?\nAnswer: 4039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -10 - (1 + 0) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/12 (b) 6\/7 (c) -3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020121906 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-5\/7)*f)\/(f\/(f*f**(-13))))**(3\/28)*(f**(-3\/4)\/f*f*f\/f**(-9)*f)**7 assuming f is positive.\nAnswer: f**(13847\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 4*g**2 + 4*g**2 + 4 - 4 - 4*g**2 - 2 - 2*g**2 + 2 + (-3 + 3 - g)*(2*g + 0*g + 0*g))*(4 + 0 + 1).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -591 and -1815.\nAnswer: 1072665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 636\/24)\/((-1)\/(-6)). Let a be (-8)\/(-6)*(-5 + v\/18). Solve 0 = -3*g - a*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, u: 3, e: 2, h: 6}. Give prob of picking 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 932600 rounded to the nearest 10000?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 - -0.04. Let d = -42.36 - -42.3. Let v = d + p. What is the third biggest value in 1, 1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:38 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n. Let i = -1 + 3. Let m(h) = -3 - 3*h + 3 + i*h. Determine p(m(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 897904476 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 2*o + 2. Let r be -1 - (-1)\/((-3)\/6). Let v = -1 - r. Let m(a) = 2*a**2 + 3*a + 2. Give v*m(x) - 3*l(x).\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let y(q) = 2*q**2 + 10. Let a(k) = 7 + 17*k**2 - 4 - 16*k**2 + 1. Let j(z) = -12*a(z) + 5*y(z). Determine r(j(d)).\nAnswer: 8*d**4 - 16*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5295389?\nAnswer: 11, 31, 53, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1845 and 7795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1585 - 63 - 52 + 4791)*(0*k - k + 3*k).\nAnswer: 12522*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/(-34)*(-54)\/(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*q**3 + 7*q**2 + 523*q + 67357 wrt q.\nAnswer: 234*q**2 + 14*q + 523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-44)\/3*1575\/(-300)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*k + 18, j = 5*k - 0*k - 12. Calculate the common denominator of 9\/16 and -17*3\/(-42) + j + 2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/12 + 17*81\/306. Factor -c*k**4 - 1\/3*k**2 + 0*k + 0 + 2\/3*k**3.\nAnswer: -k**2*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504252 - 504255 + 1008507 - 236*l.\nAnswer: -236*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*z - 757*z + 43950 = 4305*z + 208974 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1667 - -2939. Let c(n) = -2*n**2 + 8*n. Let t be c(1). Suppose j = t*g + 62806. What is g rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17112 and 621?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 9 + -3)\/((-3)\/6). Sort 5, -4, x.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 - 8*l - 2. Let w(a) = -4*a**2 - 7*a - 1. Let m(g) = -5*s(g) + 6*w(g). Suppose 4*c - 2*c - 10 = 0. Is m(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1163355*l + 6*l**4 - 4 + 4 + 1163336*l + 0*l**4 + 6*l**2 + 5*l**3 wrt l.\nAnswer: 144*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, -31, -1186?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**6\/10 - 23*m**5\/10 + 11*m**3\/3 - 262*m. What is the second derivative of p(y) wrt y?\nAnswer: 36*y**2 - 276*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(12) + -5 + sqrt(84)\/sqrt(7) - (sqrt(60)\/sqrt(5) + 5)).\nAnswer: -240 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -74*f. Let y(i) = -1724138*i**2. Determine y(c(z)).\nAnswer: -9441379688*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.02504 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 30, 29, 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 1, 4*t + g - 61 = -t. Suppose -t*q - 28 = 164. What is the smallest value in 0.2, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01741991 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 173033 * -235\nAnswer: -40662755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o + 14. Let h = 22 + o. Factor 3 + 1 - 11*v**2 - h*v**2 + 15*v**2.\nAnswer: -4*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401052 is divided by 18193.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -19*k**2 - 358*k + 4. What is j(-19)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/4 - 5*i**3\/3 + 2*i**2 + 7*i - 4. Let o be j(-6). Let u = o + 96. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10032 (base 4) to base 11\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + -4 + -4 + -1 + (sqrt(133)\/sqrt(7) - sqrt(19) - sqrt(19)) + 3.\nAnswer: -6 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a + 8. Let h be z(0). Suppose 2*l - 5*n - 8 = 0, -16 = -4*l - 4*n + 2*n. Solve 4*u - l*m = u - h, -2*u - 3*m - 11 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122 (base 3) to base 6\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 2*z - 3. Let s(g) = -g**3 - 1. Suppose j = 3*f - 0*j + 4, 0 = -5*f + 2*j - 5. Determine f*s(p) + o(p).\nAnswer: 3*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -39. Let v = d + 53. Suppose 0 = -q + 2 + v. Calculate the least common multiple of q and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 10*y - 3*q - 1386585, 0 = -4*y + q + 1848798. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a millimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75997*t**3*u**2*w + 18*t**3*u - t**2*u**2*w + 2*t*u*w + 1055*t*w wrt u?\nAnswer: 151994*t**3*w - 2*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 84982755?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -248, 1\/5, 18922 in ascending order.\nAnswer: -248, 1\/5, 18922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113148 and 378?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -111) + (-72 - -56 - (2 + 4) - -22)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.01 + 0.01. Which is the second biggest value? (a) p (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*i - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 837305 to the power of 1\/2, to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 997884532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*n - 14, -l + 0*l + n = -5. Let m = -93 - -52. Let j = 46 + m. Put j, l, 2 in ascending order.\nAnswer: 2, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/28, -1, 7858 in descending order.\nAnswer: 7858, 1\/28, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2 - 0. Suppose 2*l = -z*l + 124. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33386 and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 + (-10)\/(-6). Let o be 2*b - (3 + -2). Suppose -3 = a, -2*a = -5*u - 21 + 62. Solve u*m = o*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15414)\/4)\/(72\/(-96)). Suppose -3*i + 4*w + 21179 = p, 0 = i - 2*w - 5345. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4\/5 - 1347*n**3 - 184392*n**2\/5 + 818292*n\/5 - 845184\/5 = 0.\nAnswer: -31, 2, 2272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52433567?\nAnswer: 1031, 50857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from kggggeuce?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + y + 90. Let b be g(0). What is the greatest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -772*v + 7715. Calculate y(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwwo when four letters picked without replacement from wrygwowwwwewwwww.\nAnswer: 11\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-66)\/(-15))\/(6\/(-70) - 36\/(-126)). Solve -s + 23 = a*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5)\/((-3)\/270). Let s = 165 + p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-18)\/4 + -1 + (-12)\/24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 5*f**2 + 5*f - 6. What is the first derivative of d(u) wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**4 - 22*k + 22*k)*(-3*k + 6*k - 13*k)*(0 + 2 - 1).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from ppppppppvpppppppppv.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 + a**2 - a + 1. Let x be g(1). Let r be ((x - 1) + -3)\/2. Solve r*q + q = 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445647315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(55)\/sqrt(5))**2*2.\nAnswer: -8*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {g: 3, z: 8, c: 5, l: 1, b: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 + 22 = d + 5*v, -3*d - 4*v = -413. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 71.0734 hours?\nAnswer: 255864240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 4:12 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from parprrrgr. Give prob of picking 2 r.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20056083 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/2)\/((-2)\/16). Suppose -9*r + c = -7*r. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 70*l**2 - 10. Let f(g) = 8*g**2 + 5*g**2 - 2*g**2 + 3*g**2 - 7 + 33*g**2. Determine -7*f(k) + 5*y(k).\nAnswer: 21*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x. Let g(p) be the third derivative of 107*p**5\/60 + 45*p**2. What is g(u(c))?\nAnswer: 428*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 10*t**2 - 9*t - 5. Let p be u(9). Sort p, 2, 0.\nAnswer: p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v**2 + 2*v. Let x = 4 - 13. Let f(t) = -24*t**2 - 9*t. Calculate x*o(c) - 2*f(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -2\/3*y**3 + 6*y - 2 + 0*y**2. What is the derivative of l(v) wrt v?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -148 - -82. Let i be (2\/(-12) - 77\/v)*-19. Is -24 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3038*b**3\/13 - 4060*b**2\/13 + 128*b - 192\/13.\nAnswer: 2*(7*b - 4)**2*(31*b - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 9*b + 11*b + 10, 2*t - 2 = 4*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -6. Suppose 5*n = o + 22, -2*n = 3*n + u*o - 31. Suppose i - 4*i = -9. Solve -i*f - 3*w = -9, -f + 4*w - w - n = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/15 and -33\/5232860.\nAnswer: 15698580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -15 - 15. Let f = 28 - 22. Let a(m) = 9 - m**3 - m - 3 + 7*m**2 - m - f*m. What is a(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9878 - 5. What is m rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/5 - 8*t**4\/3 - 128*t**3\/3 + 1024*t**2 - 1245*t. What is o in i(o) = 0?\nAnswer: -8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.339406265 rounded to 4 dps?\nAnswer: -1.3394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 207788882?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3599 and -2304?\nAnswer: 5903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*j + 2 = -3, 2*g - 4*j - 4 = 0. Let n(u) = -u**2 - u + 2. Let l be n(g). Let t(i) = -l*i**2 + 7 - 15 + 4. Let h(m) = m**2. Determine h(t(p)).\nAnswer: 4*p**4 + 16*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**3 - 31*y**3 - 477 + 496 to c + v*y + g*y**2 + i*y**3 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477164024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -37, 32, 0 in decreasing order.\nAnswer: 32, 0, -2\/3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*c + 4 + 73*c - 35*c in the form l + o*c and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/((-14)\/(-7)). Let q = -106820 - -106819.5. What is the third smallest value in 2\/15, c, q, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Let n be -2 + 1\/a*-6. List the prime factors of (-9)\/(54\/231)*(1 + n).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*r - 4, -4*s - 8 = -3*s + r. Let t be (s - 0) + 14 + -5. Determine b, given that 5*b + 16*b + 8*b + 3*b**2 + 48 - t*b = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-11 - -9) - (-2 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81973729*k**5 - 4*k**2 + 5145582 wrt k.\nAnswer: 4918423740*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 50, 69, 88, 107, 126?\n\"Answer: 19*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016099683 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {k: 2, a: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*i + 1 + 23, -60 = -5*i + 5*t. Let o(k) = 2*k**3 - 6*k**2 - 40*k + 15. What are the prime factors of o(i)?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 24*u**2 + 3*u - 5. Give p(24).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(684)*3.\nAnswer: 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (5 - (0 - -5) - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 + 56758391*u - 56758391*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26190 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 24, 504.\nAnswer: -6, 24, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzvzzhvtsttvot. Give prob of picking 1 t, 1 s, and 1 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38017 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -47. Is (2 - 3730\/(-40))\/(k\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.5 (c) 1\/10 (d) 85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3780)\/324 - (-2)\/3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215 - -216. Sort -44, 2, o, -1 in decreasing order.\nAnswer: 2, o, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*i + 398*i + 9714 + 4922 + 29212 = 0 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j*j**(-1\/9))\/j)))**(-2\/117)\/((j*j**(2\/19))\/j*j**(-5\/2)) assuming j is positive.\nAnswer: j**(95899\/40014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -309.5.\nAnswer: -309.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.11352859 and -0.9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.661 - -2.339. Which is the nearest to 0.2? (a) z (b) 3\/5 (c) 6\/5 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by -10 - -5 - 0 - (-101 + -14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6981 = 4*r - 111527. Let f = r + -259627. Round f to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*n. Let b = n - -7. Let g = 15 - b. Solve 2*x + u + g = 0, -2*u = 3*u + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5241541 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 4*o**4 + 3*o**4)*(1 - 3 + 1) + 2*o**4 + 5*o**4 - 4*o**4 + (42 + 10 - 18)*(o**3 - o**3 + 2*o**4) + o**4 - 5*o**4 + 0*o**4.\nAnswer: 62*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) - -1*sqrt(1500)) + 2*sqrt(540))\/(sqrt(12)*2*1*2).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (255\/30 - 7) + (-27)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 2:57 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2*r**5\/65 - r**4\/13 + 21. Factor a(d).\nAnswer: -2*d**3*(d + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2, 3*h + 3*r = r + 148. Suppose -30*s - 56 = -34*s. What is the remainder when h is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21566*f - 21005*f = -20196 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2760 and 42.\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 17 - 8547\/518. Which is the third smallest value? (a) -1\/34 (b) j (c) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*z - 8, 6*q - 5*z = 5*q - 25. Which is the third smallest value? (a) -0.3 (b) -19 (c) q (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 1\/5, -4, -7\/4.\nAnswer: -4, -7\/4, 0, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/3 + 3*u**2\/2 - 2*u. Let i be t(5). Let f = 7 - i. What is the highest common factor of 98 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((-4)\/(-1))\/2. Let a = 16 - n. Let y = 9 + -2. What is the remainder when a is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1900) + -6*sqrt(1900)*-1 + sqrt(1900))*4 - 3*sqrt(1900)*-2*-2))**2.\nAnswer: 12160000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 8. Let r(n) = -n - 9. Let j(l) = -6*r(l) + 7*y(l). What is the units digit of j(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 59 = 2*f - 3*f, 4*o = -3*f + 222. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -25*h - 105. Let q be c(-6). Suppose -j + 79 = 4*j - 3*p, -3*p = -3*j + q. Calculate the remainder when 43 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.1 (c) 11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 13*w. Let c be g(-13). Solve 3*m - 5*b - 16 = c, -2*b + 6*b = -3*m - 29 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/284 - 67\/7100. Let p = t - -107\/350. Which is greater: 1\/3 or p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -4034020?\nAnswer: 4034016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c\/(c**(-2\/9)\/c))\/(c*c*c**3\/c*c*c**(-1))*(c*((((c\/(c\/(c*c**4\/c)))\/c)\/c)\/c)\/c*c*c*c\/c**(-2\/11))\/(c**(-2)\/(c*c**(-1\/7))) assuming c is positive.\nAnswer: c**(3646\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.65515 - -6.55515. Let l(s) = -s**2 + 2*s + 3. Let q be l(3). Which is the nearest to x? (a) 3\/7 (b) q (c) -0.5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7))**(17\/5)\/(((q\/(q\/(q*q*q**(-3\/7))))\/q)\/(q*q\/q**(-2\/21))))\/(q\/(q**5*q)*q*q\/(q\/(q**6*q))*q*q*q*q**(-6)\/q**0) assuming q is positive.\nAnswer: q**(262\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 213336201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.3 + -60.6. Sort 34, -0.1, 0, u in descending order.\nAnswer: 34, 0, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 11*x + 8*x - 27 = 0, -4*l - 156 = 12*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49416 is divided by 49398?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 + 208 - 113 + 808*v - 2392*v as r*v + s and give r.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-12) - (-135)\/(-36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -434, -1153, -2154, -3431, -4978, -6789?\nAnswer: -8858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2570.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.57 times -1101.7?\nAnswer: -3933.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjjjjjjjjjrjjjrjjj. Give prob of sequence rjj.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -4*s**3\/3 - 40*s**2 + 176*s + 213. Factor b(c).\nAnswer: -4*(c - 2)*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 14 - (149 - 131)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 2:09 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**3 + 21*n**3 - 9*n**3.\nAnswer: 39*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-2))\/u))**40)**(2\/53)\/((u**(-3)\/(u\/(u**7\/u*u)))\/(u**(-1\/6)*u**4*u*u)) assuming u is positive.\nAnswer: u**(2341\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 333*j**5\/5 + 29*j**3\/6 + 23*j**2\/2 + 4543*j. Find the second derivative of m(r) wrt r.\nAnswer: 7992*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*3)\/((-2)\/2). Suppose -2*q + 2*n = -8, 0 = -2*q + d*n + 13 - 5. Let i = -15.59 + 13.59. What is the closest to i in 0.2, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - 2*c - c + (1 + 4 + 7)*((3*c + 2*c - 2*c)*(2 - 7 + 1) + 3*c + 5 - 5) to d + n*c and give n.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let l = 157 + -163. What is the lowest common multiple of (-24)\/(l\/k) - -2 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-119)*102*39\/7254.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1. Let y(k) = k + 1. Let j(q) = -2*l(q) - y(q). Let c be j(-3). Suppose -c*n = a - 57, -2*n + 13 = -2*a + 107. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15865, 31721, 47577, 63433?\nAnswer: 79289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*d**3 + 934*d**3 - 466*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxbvqvvbb. Give prob of sequence xqx.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -70*m. Let l = -32 + 29. Let k(t) = 4. Let n(a) = -a**2 + 12. Let b(u) = l*k(u) + n(u). Give b(q(g)).\nAnswer: -4900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 - k**2 - k. Let d be t(-1). Solve -d*s - 4 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Let g be (2 - 1)\/(-3 + d). Let z = g - -2. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14656 - -6075?\nAnswer: -7571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 6) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, y: 8, b: 3, s: 1, p: 6}. What is prob of sequence bspp?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006*p**2 - 142 + 64 + 45 - 5043*p**2 + 33.\nAnswer: -4037*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 983110704 to the power of 1\/2, to the nearest integer?\nAnswer: 31355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/126 and -113\/62874.\nAnswer: 62874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69804 is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -175, 7, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136713 rounded to four dps?\nAnswer: 0.1367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 + 3*w - 3. Let x(d) = -5*d**3 - 7*d + 1. Let n(h) = 10*h**3 + 13*h - 3. Let z(j) = 3*n(j) + 5*x(j). Determine -4*i(m) + 3*z(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12))\/((1*-2)\/6).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6}. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5621 - -5661. What is the highest common divisor of o and 23480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 7:38 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4427 and 7961.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 651 and 624433.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**5 + 122*a**4 - 2454*a**2.\nAnswer: 240*a**2 + 2928*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b61 (base 12) in base 14?\nAnswer: 133b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/12 + 7*9\/(-12). Let m(u) = -u**2 - 9*u - 11. Let h be m(z). Sort -4, 0, 4, h in descending order.\nAnswer: h, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (17 - 16) - (-3 + 14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/60 + 23*b**5\/6 - 5*b**4\/24 - 3418*b**3\/3 - 882*b**2. Differentiate x(a) wrt a.\nAnswer: -6*a**2 + 460*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:50 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4621, -17773, -39693, -70381, -109837, -158061?\nAnswer: -215053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -2*s**7\/7 - 2*s**6\/3 - s**5\/5 + s**4\/3 - 51*s. Factor k(l).\nAnswer: -4*l**2*(l + 1)**2*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48394\/2871 - 490\/29. What is the biggest value in v, 0, -4\/7, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-7)\/4*2). What is the second smallest value in n, 0.04, 0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -1548317?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 3*c - 10, -3*c = -6. Suppose -w - 3 = -g. Suppose -78 + w = -5*t. What is the greatest common divisor of t and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000111110010001 (base 2) in base 11?\nAnswer: 251472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20546 is divided by 5464.\nAnswer: 4154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2071*c**3*p**3 + 2*c**2*p**3 - 2780*c*p**3 wrt c?\nAnswer: -12426*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 + 4. Let h = -0.044 + 0.054. Let t = 0.11 - h. Sort t, 3, k in increasing order.\nAnswer: k, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 18, 2, 67, -4, 71.\nAnswer: -4, 2, 6, 18, 67, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 89*c**2\/2 + 3*c - 1. Let v(k) = k**2 + 9*k - 7. Let x be v(-9). Let z be f(x). What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 31*g**2 - 136*g + 177. Let z be r(26). Sort -1, z, -0.71 in increasing order.\nAnswer: -1, -0.71, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*h**2 - 78*g**3*h*y - 2*g**3*y + 3*g**2*h**2*y - 4*g**2 - 2*g*h*y wrt g?\nAnswer: -12*h**2 - 468*h*y - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7033955.6 times -0.3?\nAnswer: -2110186.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -59807 (base 13) to base 12\nAnswer: -7aa55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/7 and -16\/58107?\nAnswer: 58107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 2*k - 3. Let l be y(3). Suppose -3*z = -189 + 33. Let w = l + z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 101 - 5*p**2 + p**2 + 0*p**2.\nAnswer: 8*p**2 - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (105\/420)\/((-2)\/(80\/2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11877 (base 11) in base 9?\nAnswer: -25315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9794686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -351 - -505. What is the least common multiple of 2 and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/20*10\/24*-2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i + 3*f, 10 = 5*i + 3*f. Let p be i\/2*56\/245. Factor 2\/7*a - 2\/7*a**5 - 4\/7*a**2 + p*a**4 + 0*a**3 + 0.\nAnswer: -2*a*(a - 1)**3*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19375 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/3, -9\/4, 6\/7?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83570 by -41785.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -275*z - 1. Let h(t) = -2*t. Determine h(q(i)).\nAnswer: 550*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 minus -21357990?\nAnswer: 21357989.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.036638 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -h - 1, 0 = -h + 2*s + 13. Suppose u - 4*v + h = 0, 16 = -4*u + 4*v - 2*v. Sort u, 3, 5 in descending order.\nAnswer: 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -552, -5, -4, -236 in ascending order.\nAnswer: -552, -236, -5, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 615 + -614. Let g be (-17811)\/(-18)*200\/y. Round g to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*g + 6*b + 3, 3*g - 3*b - 3 = 0. Suppose -g*i - 6 = -4*i + 2*l, 2*l = -6. Suppose -d - 8*n = -3*n, -2*n - 4 = i. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*l + 145*l = 0. Let n(u) be the third derivative of 17*u**2 + 5\/3*u**3 - 5\/8*u**4 + l + 0*u. Differentiate n(y) with respect to y.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -40*d**5 - 1012*d**4 + 360820*d**3 + 11970256*d**2 + 3558576*d = 0.\nAnswer: -89, -34, -3\/10, 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -126767.47 + 3?\nAnswer: -126764.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 17 + 7 + (0 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431579.\nAnswer: 17, 53, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 906*h - 51538. Calculate g(61).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u - 110 = 1745 + 321 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m + 7 = 0. Let r = 6.36 + -6.693. Let l = -3.333 - r. What is the second biggest value in -4, 4, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.77 * 1\nAnswer: 9.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2357*v + 9625. Determine h(4).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -9 + 1. Suppose -160 - 128 = -4*n. Suppose n = 4*i + 8*i. Calculate the smallest common multiple of l and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 1. Let y(o) be the first derivative of -o**3\/3 + o**2 - 3*o + 762. Suppose 3*v - 5*f + 2 = -6, 0 = -3*v - 2*f - 1. Calculate v*y(x) - 2*g(x).\nAnswer: x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 2, y: 1, f: 1, b: 4}. Give prob of picking 1 a and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 84. Let p be g(28). Suppose 3*v + 66 = 3*a, 4*a - 2*a + 5*v - 79 = p. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t + 3. Let l(s) = -1. Suppose -3*y = 5*x + 18, 2*x + 3*y + 9 = -0. Determine x*l(o) - c(o).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*g = 39, 0 = -4*c - 4*g + 105 + 15. Let i = -29 + c. What is the closest to i in 1\/2, 1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixwwllwlwi. What is prob of picking 1 l and 1 w?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -419, -342, -197?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-202)\/(-8) - 21 - (1\/1 + 2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 359\/665 + 3\/95. Which is the second biggest value? (a) y (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. What is the third derivative of 2*v**2 - v**3 + 4*v**a + v**2 - v**2 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/6 + p**3 + p**2 - 5*p. Suppose -2*i + 0*i = -2. Calculate the remainder when n(-3) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47271.\nAnswer: 3, 7, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0 - -14) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8489788 and 328.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117866 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/9 - 1361371*d + 12252338\/9.\nAnswer: (d - 12252338)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1*y*(y*y**(1\/5))\/y)\/((y**(-1)\/y)\/((y\/(y*y*y**5\/y*y)*y)\/y)))**(7\/6) assuming y is positive.\nAnswer: y**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -43, 5, -1, 4, -3, -555.\nAnswer: -555, -43, -3, -1, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 7*k - 6. Let t be f(-9). Let n(w) = -66*w + 2484. Let q be n(37). Calculate the highest common divisor of t and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 7:48 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(15\/(-234099)) + 232\/58?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16706 - -35965. Let w = -107259 + i. What is w rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0094 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:07 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 5:41 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -51*g + 17. Let h = -16 - -17. Let a be h*(3 - 7)*1. Is l(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {z: 1, t: 2, s: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 2535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + 4*s**3 - 5*s**3 + (-3 + 3 + s**2)*(0*s - s + 3*s) + s**3 + 3*s**3 - 2*s**3 to m*s**3 + w*s + n + k*s**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339 - 2*j + 55 - 259 - 255 to the form v*j + p and give p.\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 20) + 4 - 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 3*j = 540. Calculate the remainder when j is divided by (16\/6)\/((-2)\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-s**2 - 2*s**2 + 2*s**2) - 327 + 6849*s**2 + 2148*s**2 - 255 + 582.\nAnswer: 8999*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 - -1 - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/((w\/(w\/w**(-29))*w)\/w)))\/w**(-5\/3))\/(w**(-4\/9)*w**(-20)) assuming w is positive.\nAnswer: w**(-53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/64 (b) -1\/3 (c) -0.11 (d) 2\/9 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -38. Let a = 98 + o. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 8*x**3 + 240*x**2 + 736*x + 640.\nAnswer: -4*(x - 10)*(x + 2)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 2*u - 2*u)*(0 + 0 + 2)*(6*u + 5*u - 5*u)*(-3*u + u - u) - 3*u**2 + 3*u**2 + 3*u**3.\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3996, 14, 6146?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 18*q + 216. Let b be z(-11). Suppose -26*w + 25*w + b = 0. Is w smaller than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - (4 - 0)) + 4. Factor 0 - 2\/3*d**2 - 2\/9*d**s - 2\/3*d**3 - 2\/9*d.\nAnswer: -2*d*(d + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 23\/8 of a millimeter?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -11*a**2 + 3*a - 2. Let l(k) = 3*k - 3. Let v(o) = 7*o - 7. Let p(r) = -5*l(r) + 2*v(r). Determine f(n) + 2*p(n).\nAnswer: -11*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1870*b**4 + b**3 - 4*b + 1849 wrt b.\nAnswer: -22440*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 6. Let t = 0 + 6. Solve u*r = -1 + t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 60*m - 51*m + 3.\nAnswer: -111*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28013276 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -642, -1\/4, -0.2, 3\/17, 1, 0.1, 0.4?\nAnswer: -642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1278.8 - 1279. What is the nearest to 1\/3 in r, -4\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1185853956 - 437808.\nAnswer: -1186291764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/641215 and -22\/622197.\nAnswer: 1552381515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112795386 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14071*v**2. Let d(w) = -28*w. Give d(r(i)).\nAnswer: -393988*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - -2. What is the smallest value in -0.5, i, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 352.979 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -6103.\nAnswer: -2\/6103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 136*a - 1623. Give d(9).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y - 0*o - 2*o, y = -4*o - 5. Does 6 divide (0 - 1)*(y + -11 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 38 = 162. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o + 75. Let h be r(24). Find j such that 4*j**h + 63*j + 17*j**2 - 3*j**3 + 192*j + 16*j**2 - 289 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -10780.\nAnswer: -10779.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(104))\/((-1*sqrt(128) - sqrt(128)) + sqrt(128)) - 5*sqrt(117)\/(sqrt(54)\/sqrt(24)).\nAnswer: -17*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331031?\nAnswer: 331031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/8*(-170)\/119)\/(4\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 8. Let q be v(-6). Let m = 14.6 - 13. Let g = 1.3 - m. Sort q, -2\/9, g in decreasing order.\nAnswer: -2\/9, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/17 (b) 0.1 (c) 1747 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 2*t**2 + 2*t - 1. Let g be l(2). Suppose -c + 3*r + 1 = 7, 3*r - 15 = 0. Suppose -c*y + 15 = -6*y. Put y, g, -5, -1 in descending order.\nAnswer: y, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 13049?\nAnswer: -15\/13049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*y**3 + 14*y**3 + 0 - 3 - 4*y)*(-64 + 12 + 4) to the form s*y + x*y**2 + c*y**3 + q and give q.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 222423 + 478491 = 45974. Round g to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 0.2698294.\nAnswer: -0.2301706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 - 45*b - 8. Determine u(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453.7239 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = d, 6 = -3*d + 3*b - 6*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -111002 (base 3) to base 8\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007405 rounded to 7 decimal places?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/9 - 12890*a**2\/9 - 1834000*a\/9 - 21511000\/3.\nAnswer: 2*(a - 6585)*(a + 70)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:43 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 112*j - 36*j - 3 - 72*j. Determine h(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 19 - 1 - 17 - 9 + 3*q + 40.\nAnswer: 3*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -3\/391, 5, -653?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + sqrt(252) + sqrt(7) + -4 + sqrt(35)\/sqrt(5) + -2)*-3.\nAnswer: -24*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 12*s + 25. Let z be j(-8). What are the prime factors of 1 + 204 - (0\/z)\/4?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/12 - 5*s**3\/2 - 5*s**2 + 538*s. Determine g(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 2. Let r(z) = 4*z + 7. Let n(u) = 2*r(u) - 7*w(u). Let i(j) = -8*j. Give i(h) + 6*n(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27385393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -11*b. Let z(v) be the second derivative of v + 1\/12*v**4 + b*v**2 - 1\/20*v**5 + 0 - 1\/30*v**6 + 1\/6*v**3. Factor z(s).\nAnswer: -s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:55 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - -3) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10064\/612)\/(-74)*252?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 15) to base 8.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.9 + 1.9. Which is the closest to 1? (a) -0.3 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -70\/11, 2\/11, -2 in ascending order.\nAnswer: -70\/11, -2, -1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1643774 + -260\nAnswer: 1643514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47616590 is divided by 171901.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**3 + 970*r**2 - 61795*r - 193980 = 0.\nAnswer: -244, -3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(1862))\/(4*sqrt(242)*1).\nAnswer: -21*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 110. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*o + 185 - 29, -4*o = 3*n - 209. Calculate the smallest common multiple of 35 and o.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748350?\nAnswer: 2, 5, 73, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121025 (base 7) to base 12.\nAnswer: -1086b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -672018 > -672022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -345000 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-8) + -2*(-69)\/12 - (-1191)\/(-794).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/78 and 139\/738.\nAnswer: 9594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-1)\/(3\/(-81)*-1). Calculate the smallest common multiple of (70\/(-15) + 4)*x\/2 and 4 - (4 - (-1 - -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020 - 1102111122?\nAnswer: -1102101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(243)*1 - sqrt(243))**2 - sqrt(243)) - (3 + 1 + sqrt(243))) + -4 - (sqrt(216)\/sqrt(2) - sqrt(27))\/(2*sqrt(576) - sqrt(576)).\nAnswer: -505*sqrt(3)\/8 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675 = -78*b - 417 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4022034 and 141124.\nAnswer: 8044068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(468\/(-594)) + (-100)\/10\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {h: 2, v: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 193025323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*z + 2*z**4 - 31*z**2 - z**3 - z + 0*z**4 + 30*z**2 as l*z**4 + f*z + g*z**3 + k + y*z**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636608 and 6440168.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 0.4 (c) 150 (d) 13 (e) 2 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/9881156 and -17\/22?\nAnswer: 108692716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from zbebbbeeebbbeeeyyb?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3))**(4\/13)\/((m*m*m\/m**(-9)*m*m)\/(m\/m**(-3))))**(46\/5) assuming m is positive.\nAnswer: m**(-18124\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 47*r**2 - 2*r - 2. Suppose -v = -2*c - 8, -v - 3*c - 27 = 2*c. Let u(q) = 565*q**2 - 25*q - 25. Give v*u(w) + 25*h(w).\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2399 divided by 1.\nAnswer: 2399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2220, 4436, 6652, 8868?\n\"Answer: 2216*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 157*t + 5. Let w be i(-26). Let j be w\/22 - 1\/(-2). Calculate the greatest common factor of j and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -91. Calculate the remainder when ((-1)\/(-1))\/(14\/1022) is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/6 - -1 - (-4)\/6. Sort -0.2, t, 1\/4, 204.\nAnswer: t, -0.2, 1\/4, 204","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21758000 to the nearest 100000.\nAnswer: -21800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4099993*x - 2. Determine o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 220590, 441181, 661772, 882363?\n\"Answer: 220591*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-48)\/27) - (0 + 2). Put 4, 5, c, -1\/6 in decreasing order.\nAnswer: 5, 4, c, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-20)*x*x*(x*x**(-2\/11))\/x*(x**6*x)**(1\/31))**(5\/3) assuming x is positive.\nAnswer: x**(-10205\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124735794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 190 = 90. Let a be (-432)\/(-7) + (w\/28)\/5. Suppose 85 = 3*o + 5*m, -a = -2*o - m - m. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -130\/11 (b) 0.09 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 2:29 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2518837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 3)*(25*q - 33*q - 19*q) as z + f*q and give f.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)*b**(-2\/13)*b)\/(b**(-2\/3)\/(b*b*b**4\/b*b)))\/((b**(-3)\/b)\/((b\/b**0)\/b)*(b**(-2\/3))**(-1\/29)) assuming b is positive.\nAnswer: b**(24859\/2262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*a**3 - 587*a**3 - 62*a**3)*(4*a - 4*a + 5*a).\nAnswer: -2830*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l - 20. Sort l, -4, 2.\nAnswer: l, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 142107818?\nAnswer: 142107818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from bxbb?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 5 - 5)*(-1 + 5 - 2)*(3*d - 7*d + 27*d)*(4 - 4 - 3*d**3).\nAnswer: -138*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 417899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -369 in 5, 28, -2, 0.1, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:41 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*f = 9, -27 = 3*p - 2*f - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95.86 - -94. Let j = 6.86 + m. Which is the third biggest value? (a) j (b) 1\/2 (c) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1698 and -25544848886?\nAnswer: 25544847188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.68 + 107.32. Let d = s + -109.9. Is 2\/3 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 5255634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let f be m(-4). Let d be (-12)\/f - (-2)\/(-2). Suppose 0 = -2*t + 2*z - z + 91, 3*t - 133 = -d*z. What is the remainder when t is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3402 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59 times -23443?\nAnswer: 37274.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = -2. Suppose -12 = -0*i - 3*i. Suppose 1 = -5*c - 5*m - i, -4*m = 8. What is the biggest value in 4, v, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 11. Let u be h(-4). Suppose u*c = -11 + 35. Is 4 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + (-36 - -32)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 33. What is the second biggest value in 3\/2, -0.5, v, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0 + 2\/3*h**3 + 0*h - 4*h**2 - 1\/4*h**4. What is the first derivative of a(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i - 24. Let d be h(4). Let o(g) = g - 1. Let q be o(3). Solve q*y - d = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*w - 16 = -2*w, -2*b - 12 = -4*w. Suppose 4 = 2*u + 5*a, u + b*a + 4 - 7 = 0. What is the remainder when u is divided by 2\/6 - 20\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 80 = 13*c. Suppose 3*f = -5*n + 8*n + 2973, -4*n + c = 0. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 44. Suppose -57*m = -55*m - p. Let r be (-18)\/27 + m\/3. Which is the nearest to r? (a) -2\/5 (b) -0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 2, 2\/9, -3\/5.\nAnswer: -3\/5, 2\/9, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**3 - 3*r**2 - 2*r + 5. Suppose -392 = 87*l - 131. Let c(j) = 24*j**3 - 14*j**2 - 10*j + 26. Calculate l*c(f) + 14*n(f).\nAnswer: -2*f**3 + 2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1174*v - 106829. Determine h(91).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 4*w**2 - 2*w + 8. Let k be y(4). Solve k = 2*m + 3*q - 6, 3 + 3 = 3*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - 73?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 - 5*y**2 + y + 4. Calculate the remainder when 33 is divided by s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4781 is divided by 1588?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**4 + 13401*x**3 + x**2 - 112*x + 458.\nAnswer: 48*x + 80406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -l + 17. Let m = l - 5. Let k(g) = -g**2 - 9 + 17 + 4*g - 2. Calculate k(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -4*z + 6*z. Let u = 90 + z. Suppose -3*b - 5*l = -u, 2*l - 17 = -b - 7. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - sqrt(104)*-1)) + 1*sqrt(26)*-2 + sqrt(26))\/((sqrt(2) - sqrt(4)\/sqrt(2)*4) + (sqrt(96)\/sqrt(8))\/sqrt(6)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -543081.07 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**2 + 23*n**2 - 56 + 56 - 26*n**2 + 5*n. Let c(b) = 35*b - 1. Calculate c(r(z)).\nAnswer: 245*z**2 + 175*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjjisjsni. What is prob of sequence zijs?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/6824796 and 119\/3576.\nAnswer: 13649592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 500*o + 2518032.\nAnswer: -2*(o - 1004)*(o + 1254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(25) + -2*sqrt(25)*6)\/(sqrt(45)*2 - sqrt(5)) + 0).\nAnswer: -11*sqrt(5)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 726637717 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 + 100 + 146 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.5, -0.07, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 6, 0 = 18*w - 20*w + 2*m + 4918. What is the highest common divisor of 84 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, g: 1, n: 1, a: 7}. Give prob of picking 2 a.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + m - 3 = 0, 4*i - 5*m + 2*m = -9. Let g be i - -1 - (7 - 9). Suppose -5*c - 3*v = -8*v - 70, -g*c = 5*v - 42. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 15349170?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/((-1)\/3). Suppose -n*l - l = -4*b - 120, -l = -2*b - 42. Suppose -5*c + l = -c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 2)*(l - l - l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3541, 5, 4, 13 in increasing order.\nAnswer: -3541, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -0.142, -0.01, 4, -1, -2377, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 611?\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:43 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40331\/21105 - 2\/603. Let i = h - -19\/7. Suppose -2*b + 4*l - 9 = -1, -2*b + 2*l - 8 = 0. What is the biggest value in i, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(10\/(-3) + 0)*(-492)\/410. Let v(f) = 2*f**3 + 4*f**2 + f + 3. Let s(a) = -3*a**3 - 5*a**2 - a - 4. Calculate i*v(x) + 3*s(x).\nAnswer: -x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -3 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22183.\nAnswer: 7, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069731 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/34787, 0.2, 4.2 in increasing order.\nAnswer: -2\/34787, 0.2, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/3 + 308*h**3 + 171254*h**2\/3 + 56776*h = 0. What is h?\nAnswer: -141, -1, 0, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from mssi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2\/11 + 460*p\/11 - 2250\/11 = 0.\nAnswer: 5, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(3\/7)*w)\/w)**33*(w*w*w**(-2\/7)\/w*w)**(-5) assuming w is positive.\nAnswer: w**(270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 0.32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -911, 3.4, 31, -4, 4, 0.2 in decreasing order.\nAnswer: 31, 4, 3.4, 0.2, -4, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/15 + 16*r**2\/15 + 34*r\/15 + 4\/3 = 0?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/2 + 5*s**2\/2 - 6*s - 2. Let q(o) be the first derivative of f(o). Differentiate q(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -172, -387, -688, -1075, -1548, -2107?\nAnswer: -2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2062022115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 25.3 (c) -0.5 (d) 237 (e) 5\/4 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3 - 6213*d**2*j**2 - 11*d**2 - d*j**2 - 223*d - j**2 + 6*j wrt d.\nAnswer: -6*d - 12426*j**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(114) + -2*1*sqrt(114))*-3*1)\/(sqrt(726) + sqrt(726)*-3 + sqrt(6) + 5*sqrt(42)\/sqrt(7)))**2.\nAnswer: -85\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5043834 divided by -18\nAnswer: -280213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:43 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 314013333 (base 5) in base 11?\nAnswer: 817a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(21)*-6)\/sqrt(3) - (sqrt(175) + 2 + sqrt(175) + 2).\nAnswer: -16*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {u: 4, m: 6, q: 4}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 + 154*z - 801. What is w(5)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 = 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/35*10\/(-15)*(-2945)\/(-62)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*k = 8*k + 81, -4*k = -4. Suppose t = y - 65. Is ((-13)\/39 - t\/(-6))*29 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-6)\/6) - -201. Let b = 203 - f. What is the nearest to 1\/3 in -0.2, -4\/5, 4, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1703*q**3*t**3 + 24*q**3*t + 3*q**3 + 2*q**2*t**3 - q**2*t**2 - 9*q*t**2 + q + 743*t wrt q.\nAnswer: -10218*t**3 + 144*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1401*x = -695*x - 77150 + 24684 - 37662 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 15*w + 2*w - 13*w)*(0 - 8 + 1) to t*w + a and give t.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064396027 - -0.259461.\nAnswer: 0.195064973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -54. Let o = z - 30. Suppose -1 = -2*c - 11. What is the third smallest value in c, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000106921 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 25 = -3*b - c, -2*c = 3*b - 13. Let n = -3 + b. Let l(p) = p**2 - 8*p + 2. Let x be l(8). Solve n*w + x = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 = -53*i + 51 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(sqrt(2736) - ((sqrt(2736) - (sqrt(2736) + 2)) + 1 + sqrt(2736)) - sqrt(2736)))**2 + (4 + sqrt(2736) + -3)**2 + 4.\nAnswer: -360*sqrt(19) + 46529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-141)\/12)\/(3\/(-12)). Suppose -5*x - t = -3*s, 3*x = -2*s - s - 33. Is -11 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 25628875.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 2*h**2 + 22*h + 3. Let a(u) = 6*u**3 - 6*u**2 + 66*u + 9. Calculate 6*a(v) - 17*t(v).\nAnswer: 2*v**3 - 2*v**2 + 22*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p + 20*p + 8*p)*(2 - 2 + 1).\nAnswer: 45*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*u + 41 - 160, 2*b = 8. Let g be 2\/u*5 - (-168)\/(-27). Let w(d) = -d**3 - 5*d**2 + 4*d - 12. Let k be w(g). Which is greater: k or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -549270 to the nearest 1000.\nAnswer: -549000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 2870?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -798 + 140?\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.7 + -20.1. Let j = h - 0.7. Let r = j + 11.0999444. Round r to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4119 is divided by 516?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2)\/((f**(-3\/8)*f)\/f))\/((f*f**(-2)*f)\/((f*f\/((f*f**(-3\/4))\/f))\/f)) assuming f is positive.\nAnswer: f**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197047656.\nAnswer: 2, 3, 13, 31, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7)*(-105)\/135*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.50621 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 4, 938833?\nAnswer: 938833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 9*c + 3. Let g(w) = -w**3 + 5*w**2 - 3*w + 6. Let l be g(5). Let k be m(l). Let f(o) = 3*o - 4. Is 4 a factor of f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 6*x - 12. Let m be p(2). Suppose m*u + 4*b = 8, 4 = 2*u + b + 3*b. Let y be -12*(40\/(-18) + u)*3. Solve k + 3 = y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3425160 divided by 2190\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + 0.95. Let j = s + -0.6. Let u = -2 + 2.5. What is the smallest value in -1\/4, j, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 n when three letters picked without replacement from {j: 2, s: 1, o: 1, n: 2, e: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1378*y**3 + 328*y**3 + 1220*y**3.\nAnswer: 170*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 12 - 36)*(-224*l - 1585 + 1585) in the form q*l + g and give q.\nAnswer: 11648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -9*u + 13*u. Let i(p) = 8*p + 9*p**3 - 7*p**2 + 7 + 7 - 23*p**3 + 12*p**u. Does 42 divide i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82460 divided by -301?\nAnswer: -11780\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 2)*(2*w - 3*w + 0*w**2 + w**2) in the form g*w**2 + l + u*w and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44125 and 24215800?\nAnswer: 8825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 27*x + 308. Let u be s(-11). Calculate the greatest common divisor of 22 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 1 - 4\/15*w**5 - 1\/45*w**6 - 8\/3*w**2 - 22\/9*w**3 + 9*w - 7\/6*w**4. Solve g(b) = 0 for b.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(1\/4)*q)\/q)**(22\/7))**(-2\/15) assuming q is positive.\nAnswer: q**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 208, 313, 418?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -61*c - 18. Let v(m) = 195*m + 56. Let w(h) = 6*v(h) + 19*z(h). Let s(p) = -33*p + 17. Give 3*s(x) + 8*w(x).\nAnswer: -11*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 382 and 169\/18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/12 and 141\/(-60) - (-3 - -3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.047 - 25.047. Let w = n + 23.04. Let p = -1.9449 - w. Round p to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 13*r**2 + 9*r - 12. Calculate o(6).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 667*l**6*q + 2*l**4*q**2 + 752*l**2*q**2 + l*q**2 - 2*l - 1 wrt l.\nAnswer: 80040*l**3*q + 48*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -179, -134, -49, 88, 289?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1425))\/(sqrt(18)\/(sqrt(6)*-1)) + sqrt(931)*1 + -4*(sqrt(19) + -2 + sqrt(19)))**2.\nAnswer: -176*sqrt(19) + 2363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -29. Let x(w) = 4*w**2 - 37*w + 45. Let b(h) = -3*h**2 + 25*h - 30. Let r(f) = n*b(f) + 5*x(f). Calculate the remainder when r(-9) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 45?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aiirjajaair.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgjjjgj. Give prob of picking 3 j and 1 g.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276578\/13 + -21382. Let b = 23287\/208 + d. Find the common denominator of b and 37\/(-1 + 0 + -19).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9677 is divided by 2413.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18392 - -34705. What is t rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 13*j**2 + 16*j + 14. Let v be d(12). Let m = 64 - v. Suppose 2 = 2*x, 2*n + m*x - 13 = -1. Solve -20 = i - n*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((143\/(-3))\/(-11))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -34. Calculate the remainder when 45 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -590 + 661. Calculate the remainder when (-3)\/(-9) - 2110\/(-6) is divided by p.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 4, b: 6, i: 3, w: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqqg. What is prob of picking 1 g and 1 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 3210 (b) -3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 13*d + 5. Let y be z(7). Calculate the highest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dd0a (base 14) in base 12?\nAnswer: 1a15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -74, -0.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(6 - 7)*((-13)\/(-1) - 41)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -10931\nAnswer: 1093.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13869 = 3*m - 3*x + x, -3*m + 3*x + 13872 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*q**3 - 36*q**3 + 29*q**3 + (1 - 2 + 0)*(-1 + 1 - 2*q**2)*(5 - 3*q - 5) to n*q + b*q**3 + w*q**2 + p and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(125))**2*6 - ((sqrt(320) + -2 + sqrt(320))*4 + sqrt(320) + 4 + 1*sqrt(320))**2.\nAnswer: -35232 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*n**2 + 18 - 2989*n + 2991*n + 0 + 2 as b*n + d + l*n**2 and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-36)\/(m**(-22)*m) assuming m is positive.\nAnswer: m**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*b + 4 = -3, -b = -4*i - 17. Let w be ((-8)\/(-2))\/(25\/(-10) + 3). Let g be 2359998\/4 - i\/w. What is g rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3549 plus -0.1727?\nAnswer: 3548.8273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -595\/3?\nAnswer: -595\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259014113.\nAnswer: 61, 277, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 549\/5035 - 1\/265. Suppose -4*i = -7*i + 6. What is the second biggest value in z, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 7 = 43 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611d (base 16) to base 9.\nAnswer: 37083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 28*x**2 - 8*x + 8. Let q be s(8). Suppose -c - q = -7*c. Is c a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 174, 219, 302, 435, 630, 899, 1254?\nAnswer: 1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1050 and 19110.\nAnswer: 95550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 7594?\nAnswer: 7599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 + 15*g**2 - 64*g - 124. What is j(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2. Let v(s) = -s**2 - s + 2. Let c be v(0). What is the units digit of x(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-25))\/((-2)\/(-5)). Suppose -4*u + p = 4*o - 282, 4*o - 252 = 4*u. Let q = 187 - o. Calculate the remainder when q is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554660311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7753*a**2 + 5*a + 5. Let j(n) = -6031839*n**2 - 3889*n - 3889. Give 3889*b(f) + 5*j(f).\nAnswer: -7778*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 8. Calculate the remainder when 25\/4*(4 - 0) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 + 5355*p**4 - 26718*p**3 + 32028*p**2 + 21384*p - 42720 = 0. What is p?\nAnswer: -1, 2, 1780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*6840\/285\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 7}. What is prob of picking 4 q?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 41*r**2 - 48*r - 289. Determine d(39).\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p**2 + 121*p - 120. Let b(q) = 65*q**2 + 725*q - 720. Let t(n) = -6*b(n) + 35*f(n). Solve t(h) = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + ((-18)\/(-3))\/(-2). Solve i - 1 = -y, 4*i - q*y = 5*i - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {r: 2, e: 7, t: 1, p: 4, w: 2, c: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/491 + 964\/4419. Let p = -1 - -1. Let n = -1 - 2. Sort n, p, s in descending order.\nAnswer: s, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.3, -0.3, -2 in increasing order.\nAnswer: -2, -0.3, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7414066 is divided by 62?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 39 = -6*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57342, -57494, -57740, -58074, -58490, -58982, -59544?\nAnswer: -60170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*n + 21683 + 9251 = -11140 for n.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 9:27 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2584 + 4*w + w**2 + 2589 - 2*w**2 = 0. Calculate w.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/4)\/((-567)\/112 - -5). Let i = -134\/3 + k. Sort 1, 7, i.\nAnswer: i, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(136)*-5 - sqrt(136))\/(sqrt(8)*-1*-3 + sqrt(8)) + -3.\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*q + 5*o - 8*o, 5*q - 4*o = -28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 10 = -178. What is the remainder when u is divided by ((-9)\/(-6))\/((-3)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 - l - 226 + 9*l**2 + 427.\nAnswer: 9*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-19 - -17) - (6 - (1 + -7 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + m + 5, -2*j + 0*m + 6 = -2*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * 0.100088.\nAnswer: -2.902552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*q - 317 = 0, 3*i + 557*q - 1005 = 560*q. Calculate the highest common factor of 220 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3080 or -3071?\nAnswer: -3080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -9 - 1 - (-3 + (-6 - -3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i**3 - 16*i**2 + 29*i + 2. Let l(z) = z**3 - z**2 - z. Let g(f) = h(f) + 6*l(f). Let s be g(-23). Solve -s*c + 4 = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/24*(-1)\/2. Let f = k - 3\/40. Let x = -3.2 + 3. Which is the nearest to x? (a) 2\/3 (b) f (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275701 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.872 - 4.572. Which is the fourth biggest value? (a) 3 (b) 2 (c) i (d) -5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + -0.75. Let o = p - -32.15. Let h = o - 29. What is h rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*q + 37*q - 135*q - 358 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 - 2*v - 1. Let b be u(2). Let a(q) = -q**2 - 11*q - 4. Let x be a(-7). Let d = -9 + x. Calculate the greatest common factor of d and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35378 is divided by 305?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**3 - 3*n**3 + 0 - 4)*(-1 - 6 + 1)*(-5 + 4 + 2) to the form j + f*n + g*n**3 + u*n**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w = -54. Let t(n) = -2*n**2 + 34*n + 2. Let x be t(17). Suppose 0 = -x*d - 228 + 236. Calculate the least common multiple of d and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337 - 3*q**2 - 794 + 457.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/13 in 2166, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 8284*w**4 - 3*w + 4220*w**4 + 4152*w**4 as p*w**4 + a*w**3 + m*w**2 + d*w + z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 15. What is the second biggest value in 1\/5, h, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 6*g + 1744 = 0. Suppose -g = -3*n + 365. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = n, -6 + 0 = 2*s. Let w = n - -7. Suppose 16*m - w*m - 12 = 0. Put -10, m, -2 in decreasing order.\nAnswer: m, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 20*t**2 - 3*t + 28. Let o be q(-18). Let j = 1378 - o. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:11 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 19*p**2 + 182*p + 2968. Calculate h(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 3*u**2 + 3*u. Let a be q(2). Suppose -2*y - a*y = 0. Suppose 3*w - 53 - 55 = y. Calculate the highest common factor of w and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.064 - -3.2524. What is d rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 310, -11, -0.2, 2\/3, -1\/4 in descending order.\nAnswer: 310, 2\/3, -0.2, -1\/4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21275 (base 8) to base 14\nAnswer: -3353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2064 divided by 1002.\nAnswer: 344\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3063016 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/3546067?\nAnswer: 1\/3546067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 411?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*b**3*j + 82*b**3 - 2*b**2*j + 2216*b*j wrt b?\nAnswer: -192*b*j + 492*b - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 45a4 (base 11) to base 5\nAnswer: 143133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -5*g + 39. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -430 - -889\/2. Let v = r + -15. Let n = 0.15 + -0.05. Which is the closest to 0? (a) v (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o + 3. Let z be i(3). Suppose 3*w - z = 24. Solve -4*s - w = 4*l + l, s + 3 = -l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 - -222. Let k be ((-260)\/78)\/((-6)\/n). Solve 66*t = k*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1293, -3431, -5517, -7527, -9437, -11223?\nAnswer: -12861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -35250 divided by -282\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -3, 6, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*4\/6 - 0. Let m = 19 - h. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -1086, -3081, -6968, -13377, -22938?\nAnswer: -36281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 41413441420?\nAnswer: -41413441413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 11:01 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbj when four letters picked without replacement from bjbbjbbbbbbbbjbb?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(60\/540)\/((-19)\/1).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocokkocpooofcoofkpo. What is prob of picking 2 c?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/63 - (-11942)\/18. What is the highest common factor of n and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = 285 - 285 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdokcolcoodkdmdoco. What is prob of sequence lm?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2274 and 83\/9096.\nAnswer: 9096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1751124, -3502238, -5253328, -7004382, -8755388?\n\"Answer: 2*g**3 - 1751128*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3772.37 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-375)\/18 - 2\/12) + -1. Let u(o) = -4*o - 9. Let a be u(8). Let q = x - a. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 5*n + 1. Let f be s(4). Suppose 0*i = 3*i - f*p - 31, 3*i + 19 = -5*p. List the prime factors of i\/15 + 5656\/105.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + 0.5. Let n = 71 - 58.6. Let u = -14.6 + n. What is the second biggest value in b, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4178, -12047, -19916, -27785, -35654?\nAnswer: -43523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**5 - 35*z**3 - 367*z wrt z?\nAnswer: -20*z**3 - 210*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 294528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2788*-0.2859.\nAnswer: 797.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -42\/11?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w - 10, -5*a - 60 = -3*w. Let l be 8\/(-12)*(-78)\/(-4). Let z = a - l. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 4)*(-392795 + 52829*q + 392795) as w + f*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6327, -3, 2880.\nAnswer: -6327, -3, 2880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 93 - 8*q)*(-1 + 2 - 2)*(-1 + 0 + 0).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 2*p**2 + 2 - 6 + 0*p**3. Let r = -10 - -7. Let o be h(r). Solve 2*d = d - o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 435, 432, 441, 468, 519, 600, 717?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) -10 (c) 3 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 5*i + 6. Let k be q(-5). Let n be 672\/36 - (-2)\/k. Solve 3*d + 3 = -3*y, -y = y - 5*d - n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkkvkftvtvvkucc. Give prob of picking 1 u and 1 k.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 83. Let n be (-5 + -1)\/(11 - c). Let d = 9\/4 - 5\/2. Sort n, 2\/13, d in ascending order.\nAnswer: n, d, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l + 82*l + 5 = -5*o - 0*o, 10*l - 13*l + 5 = -4*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {o: 2, q: 1, y: 4, x: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -19. Let w(o) = 5*o. Let q(y) = -4*y + 1. What is l*q(d) + 2*w(d)?\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -755 = -6*s - 71. Let m = s - 70. Let i be (m*1)\/((-20)\/(-60)). Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**5 - 9*s**4 + 12*s**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-10)*(-10)\/4. Suppose 5*s + 1 - 11 = 0. Let m be (15\/2)\/5 - s. Put m, 0, i in descending order.\nAnswer: 0, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 4*h - 3*h**3)*(h + 4*h - 3*h) + h + 3*h**4 - h to u*h**2 + o + s*h**3 + r*h + k*h**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.66591882 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(0 - (-1 + -1)) - -3. Suppose 2 - 2 = i*w. Let k = -1 - -4. Solve k*f - 2*p = -7, w = -5*f - 5*p + 4 + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -217.9453 + 0.1453. Round s to the nearest integer.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -j - 2*m, -5*j + 5*m = -3*j + 29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 77175?\nAnswer: 77174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180))\/((sqrt(72)\/sqrt(3))\/sqrt(6)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -424*1.254698\nAnswer: -531.991952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 8*d - 10*d - 61*d**2.\nAnswer: -71*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(56)\/sqrt(7)*-5))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 45\/4 of a millisecond?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 33 = 2*s + 9*y, -6*y - 9 + 3 = 5*s - 4*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.66 + 1.34. Let f = 128 - 1666\/13. Put f, -0.07, 2\/9, d in ascending order.\nAnswer: f, -0.07, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f**2 - 5*f + 11. Let d = 52 + -26. Let l(o) = -68*o + d*o + 25*o - 4 + 4*o**2 + 19*o. Give 3*h(i) + 8*l(i).\nAnswer: -i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -686, -703, -722, -743, -766, -791?\n\"Answer: -q**2 - 14*q - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)\/(4\/2). Suppose 2*t + d*t = 16. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 31*d - 133. Calculate k(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 0.4, 3, -0.5.\nAnswer: -0.5, 0.2, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*a**3 - 10*a + 518*a**3 - 1604*a**3 + 522*a**3 + 10*a.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q**2 - 58. What is l(0)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -735117 (base 12) to base 2\nAnswer: -110111010100101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2879*j**2 - 1653*j**2 - 557*j**2 to i*j**2 + t*j + d and give i.\nAnswer: -5089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) - ((sqrt(1053) - -1*sqrt(1053)) + 5) - -1*sqrt(1053)*-4 - (-1*sqrt(1053)*-2 + (sqrt(1053)*1*-4)**2).\nAnswer: -16853 - 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11658\/59 - -964145\/354. Let d = -2946 + g. What is the common denominator of -59\/18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 4:05 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 648415085 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-17\/4))**(14\/5))**17 assuming v is positive.\nAnswer: v**(-2023\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (9\/4)\/(324\/(-864))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22608936 divided by 3148.\nAnswer: 7182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 135 = 2*f - 29, -3*f - 286 = -5*t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 3*v**2 + 9*v\/4 - 11\/2.\nAnswer: (v - 1)*(v + 2)*(v + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h - 3*n + 27, 0 = 5*h - 4*n + 5. Let q be -7 - (-20)\/h - (-11)\/15. Find l, given that -2\/5*l**3 - q*l + 6\/5*l**4 + 0 - 6\/5*l**2 + 4\/5*l**5 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -3 (c) -10 (d) -6.71 (e) 0.2 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-1980)\/(-12))*(-5)\/(-3)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 814*h**2 + 569 wrt h?\nAnswer: 1628*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*h**2 - 8 + 697*h**2 + 10 - 8*h.\nAnswer: 2*h**2 - 8*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-3)\/(3\/17). Let d = 24 + m. Calculate the greatest common divisor of 12 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9100314*p**2 - 1840481*p wrt p?\nAnswer: 18200628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412034545952 - -50.9.\nAnswer: -412034545901.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, -766, -1, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 3. Let q(m) = m**2 - 10*m - 11. Let d be q(11). Let n be v(d). Suppose n*o - 235 = -2*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**2. Let l(c) = -112*c**2 + 230. Calculate -10*k(v) - l(v).\nAnswer: 2*v**2 - 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140*r + 2\/3*r**2 + 487350 = 0. Calculate r.\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154188 - 308374 - 13252*w**2 + 154188 to the form z + x*w**2 + c*w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 34. Let g(m) = -m + 23. Determine -7*g(b) + 5*j(b).\nAnswer: 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 700 + 7*o**2 - 700. Let s(z) = 13*z**2 + 2*z + 36. Let q(d) = -26*d**2 - 5*d - 90. Let a(j) = 2*q(j) + 5*s(j). What is h(a(v))?\nAnswer: 1183*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (681 + -707 + 13 + (2 - 1) + 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/5 - 16746224*m**2\/5.\nAnswer: m**2*(m - 16746224)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by (2\/(-22)*-11)\/((-2)\/(-142))?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19*2*2\/16. Let f = 7681\/19200 + -1\/19200. Is u < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/70*(-10)\/(-4)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 23 + 12 = -3*q, 5*q = -f + 50. Differentiate 10 + f + 17*r - 14 with respect to r.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -40\/3, -1, 2\/3, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 210328423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p**2 + 69*p**2 + 45*p**2 - 227*p**2 + 63*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**3*m**3 - 31*h**3*m**2 + 415*m**3 wrt h.\nAnswer: -3*h**2*m**3 - 93*h**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 289*n - 293*n + 5*s + 109, 22 = 2*n + 4*s. Suppose b - 27 = -18. What is the least common multiple of b and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 1. Let u = w - 8.3. Let m = -0.153297 + 0.053297. What is the nearest to 2 in -5, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 - 17804*g**4 + 3*g**3 - 18*g**2 + 1791*g + 4 wrt g?\nAnswer: -60*g**2 - 427296*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**5 + 39*g**4 - 264*g**3 - 1668*g**2 + 4032*g = 0?\nAnswer: -16, -6, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00264064 rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 1595*l + 3103*l - 1495*l.\nAnswer: -2*l**2 + 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2898927539 + -121.\nAnswer: 2898927418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 964935624 by -4.\nAnswer: -241233906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 31. Let x(q) = q - 16. Let k(m) = 3*c(m) + 5*x(m). Calculate k(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/29)\/(8202\/(-39643)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64\/(-6)*(-15)\/10. Suppose 58 = -25*k + 27*k. Let i = k - n. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 - (-2 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.372 + -6.222.\nAnswer: -5.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -2 - 2)*2. Suppose 7*w = c*w + 1060. Suppose -5*z + 48 = -w. Is z a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 33 + 39 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 426*x.\nAnswer: -3*x*(x - 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55549 + 914.\nAnswer: 56463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/10 - d**3\/6 + 3*d**2\/2 - 1134*d. Let b(w) = -w**3 - w + 4. What is 3*b(h) - 2*u(h)?\nAnswer: h**3 - h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 8*z - z + 10*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 9*q = 3*d + 21, -d + 2 = 2*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from rrrrrirrirrrrir?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032012177 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o**2 + 3*o + 2. Let t(g) = 21*g**2 - 5*g - 3. Let z(k) = 3*t(k) + 5*v(k). Let s be z(-1). Solve -5*y = -4*a + 10 - 3, -3*a - s = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.9959 - -39. Round x to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 5*l**2 + l + 15. Suppose 0*f + 3*w - 6 = 2*f, 3*f + 20 = -w. Let i be n(f). Let d = i + -15. What is the greatest common divisor of 12 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-24)*k*k*(k**(-23)*k)\/k*k)\/((k\/k**(1\/22))\/k*k\/k**(-25)) assuming k is positive.\nAnswer: k**(-1539\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1833 divided by -3.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2541312 + 1?\nAnswer: 2541313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.45 - 0.05. Let c = -113.133 + 117.2. Let x = c - 0.067. What is the second biggest value in a, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120112 (base 3) in base 15?\nAnswer: 1ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, -1745, 1\/3, 0.1, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 973 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**3*s + 87*n**3 - 5921*n**2*s + 18999875*n*s wrt n.\nAnswer: 30*n*s + 522*n - 11842*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrs when three letters picked without replacement from rrrsrrrrlrlrrs?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58525, 58495, 58465?\n\"Answer: -30*w + 58555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/((-2 - 7)\/18). Let x(b) = -2*b**3 - 2*b**2 + 5. Let t(g) = -3*g**3 - 3*g**2 + 9. What is y*t(k) - 5*x(k)?\nAnswer: k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-250)\/(3430537\/(-381172) - -9). What is p rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179698*v**2 - 4*v**3 + 89852*v**2 + 89846*v**2.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/2468 - -1231\/2468. Which is the nearest to u? (a) -0.2 (b) 13\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/11518 and -57\/5.\nAnswer: 57590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 119 + 1003 = 0. Let h = 12 - -5. Calculate the highest common factor of h and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -317834*f - 639. Is p(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-330)\/(-308) - 24\/16)\/(1\/(-161)). Solve 91 = z*r - 116 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/12 + 38*n**3\/3 - 95*n**2. Differentiate s(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/5 (b) -17 (c) 11 (d) 0 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.267 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 147079001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1622853 divided by 1622853\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/89432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 2731*y**2 - y**4 - 1 + 2733*y**2 + 1 as v*y**3 + j*y**4 + c*y + h + k*y**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5 + 5. Let z be h\/(-10) - (-10)\/(-46). Let y = -5\/23 - z. Are y and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 + 4*q**3 - 1 - 1 - 21*q**3 - 11*q**3 + 8*q**3 + (-2 + 1 + 2)*(q**3 + 2*q - 2*q) in the form z*q**2 + c*q**3 + j + o*q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**2. Let l = -16 + 19. Let p(x) = l*x - x + 0*x - 4*x. What is p(a(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - 0.3. Let j = -9176 + 9173. Which is greater: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 51 + 57 = 2*x, -i - 157 = -3*x. Let j(n) = 85*n**2 + 21*n + 1. Let k be j(-1). What is the units digit of x\/k*(-75)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 20*w - 60.\nAnswer: 5*(w - 6)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5216*c + 5203*c - 10396*c - 8 - 2*c**2 as d + x*c + o*c**2 and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 6*z)*(5 - 2 - 1) + (2 + 1 - 4)*(-1 + 0 - 1)*(-z - 3*z + z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 22.2. Let l = -163\/3 - -54. Which is the closest to l? (a) f (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2194 + 2207. Solve 7*g + d = -8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most 69\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 3. Let i be c(0). What is the third biggest value in -3, -0.5, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 11*u + 4. Let l be (-42)\/(-3) - (0 - -1). What is the smallest common multiple of 8 and j(l)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**2\/2 + 6*r + 3. Let u be x(6). What is the tens digit of 12 + (-1 - (1 - u))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 12*b - 23. Suppose 3*h - 5 = -2*t + 6, 4*t - 2*h = 14. Suppose -t*o + 2 + 14 = 0. What is the closest to b in -2\/11, o, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -625a9 (base 14) in base 6?\nAnswer: -5025425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + 80. Let i = c + -102.95. What is the nearest to i in 3\/7, -1, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36519 = 15*h + 51*h - 11859. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -46, -86, -152, -250, -386?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 21 = 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 11, 2*k - 3*k + 16*l = 12*l - 46. Let d = 1 - -7. Solve k*p = f + d - 3, -2*f + 20 = 2*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/5 of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -55. Let l be ((-96)\/20)\/(a\/30). Suppose 2*j - l = 6*j. Are j and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 19*w = 5*w + 17, 2*p + 10 = -4*w + 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 - (-3 + -1). Suppose 2*o + 6 + 0 = 2*n, 5*o = x*n - 17. Let y = -47\/33 - -12\/11. Which is the closest to y? (a) n (b) -2\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -58 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c - 197 + 197)*(6 - 3 - 4 + 3*c + (2 - 4 + 1)*(3*c - c + 0*c)) to u*c**2 + r + w*c and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95)*-1 + sqrt(95))*-6 - sqrt(95))\/sqrt(1125))**2.\nAnswer: 19\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/351?\nAnswer: 2\/351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 31. Solve -5*q + a = 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82222 rounded to 2 decimal places?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90 + 90 - 6*n**3 + (-2 - 2 + 3)*(-2*n**2 + 2*n**2 + n**3) - n**2 + n**2 - n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*q**2 - 610*q**2 + 202*q**2 + 206*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-825)\/120 - (-4)\/(-32). Sort 3, -2, l.\nAnswer: l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/144*3*((-480)\/75)\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*3)\/(-6*sqrt(36)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 5*g**2 + 4*g - 2. Let v be ((-12)\/18)\/(4\/(-30)). Let q be y(v). Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325252 - -40245?\nAnswer: -255004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - ((sqrt(931) - (sqrt(931) + -2)) + sqrt(931)))**2*-1 - sqrt(931)) + 2.\nAnswer: -7*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 9. Let x(u) = u**3 - 2*u**2 + 2. Let b be x(2). Let y be j(b). Let z be 6\/21 - 40\/y. Solve -4*k + 5*s - 10 = 2, -s - z = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - 4*1*sqrt(98))*5 + 1 + 3)*6)**2.\nAnswer: -30240*sqrt(2) + 794376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**4\/24 + i**3\/6 + i**2. Suppose 3*x + 130 = 112. What is l(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 263*x + 2099. Let a be y(-8). Let n = -10 - -6. Let w(k) = 3*k**2 - 6. Let d(z) = -2*z**2 + 5. What is a*d(v) + n*w(v)?\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383885451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313.5635 millilitres to litres.\nAnswer: 0.3135635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1. Let y(d) = -15*d - 2. Let b(p) = -p**2 + 2*p + 4898. Let g be b(71). Calculate g*f(q) + y(q).\nAnswer: -15*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 17.26, -0.5, -37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 47, 35, 13, -19, -61, -113?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (27 - -7) + -36 + -26\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -1 - ((-8 - 5) + 12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c**2 + 1079*c - 3219. Calculate i(3).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by (3 + -2 + 20\/(-15))*-78.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 73.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = 2*k. Is (-2 - k\/1) + -7 + 2091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 3*m + 4. Let r be v(-3). Find the second derivative of -3*p + 2*p - r*p**4 - p**4 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**6\/60 + n**5\/20 + 19*n. Determine p, given that f(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdb. Give prob of sequence dd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 130. Suppose -4*g + 56 = -8*g. Let o = g - a. Calculate the remainder when 22 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -552877*d + 36201.\nAnswer: -552877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*c**3 + 30*c**2 - 33*c + 15*c - 238*c**3 + 6*c**4 + 4 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1995, -3\/4, 2?\nAnswer: 1995","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 29 = -7. Let d(r) = 8*r. Let m(f) = -4*f - 3*f + 6*f. Determine o*m(g) + 2*d(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(40) - sqrt(200)\/(sqrt(5)*2))*2)\/((sqrt(8) + sqrt(128)*-6)*-1) + -2.\nAnswer: -5 + sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + s, 60*h = 65*h - 4*s. Suppose 11*y - 1427 - 5976 = h. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 1, v: 6, y: 1}. What is prob of sequence yv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 3*n**2 - 2*n**2 + (4*n - 5*n + 0*n)*(-2*n + 2*n + n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4243 + 1123 = -119*o - 346 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.34 + -37.24. Let y = -305 - -341. Let n = t + y. Which is the nearest to 0.1? (a) n (b) 1\/5 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2. Let f be (-10)\/(-4) - (-3)\/6. Suppose -v + 5*c = 53, -f*v - c = -3*c + 94. Let u = 26 + v. Let w(j) = -j - 10. Give u*w(r) + 11*k(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/2))**(-40)\/(w**0*w)**(1\/6) assuming w is positive.\nAnswer: w**(-361\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + 0. Let n = 20 - l. Let q be (-1)\/(((-286)\/88)\/((-1)\/4)). Is q less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92516\/9 + -10280. Calculate the common denominator of q and 3 + ((-46)\/12)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133864824649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2667, 2704, 2773, 2880, 3031, 3232, 3489, 3808?\n\"Answer: x**3 + 10*x**2 + 2656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**3 - 1\/3*k**2 + 1\/3*k**4 + 0*k + 0.\nAnswer: k**2*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -995a (base 14) in base 8?\nAnswer: -63654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19473859, -19473861, -19473863, -19473865, -19473867, -19473869?\nAnswer: -19473871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22918918 - 15778922. Suppose -18*s + 22*s - 5*y = -28560010, -2*y = s + k. Round s to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 623 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/2 - 430*j**2 - 82777*j\/2 + 2454219 = 0. What is j?\nAnswer: -739, -162, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 15*h + 7*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 509645 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a + 253 = 7*a. Let y(g) = -g**3 + 22*g**2 + 23*g + 10. Give y(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135120 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 14) + (-111)\/259 + (-4608)\/(-168)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*a - 119*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16903673 plus 1.68?\nAnswer: 16903674.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.718225 years?\nAnswer: 56.6187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111104*h = -111114*h + 250 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhojyhcjycocjw. Give prob of sequence jow.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3677*f**2 + 549*f**2 + 1.\nAnswer: -3128*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348 is divided by 1280?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 6*t - 4. Let k(l) = -6*l**2 + 31*l - 21. Let v(o) = -11*d(o) + 2*k(o). Let w be v(-5). Let a be w\/6*-6 + -1. Solve -a*f + 7*f = -25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h - 33. Suppose -5*q + 273 = 4*j, 2*j - j + 2*q - 66 = 0. Suppose 4*l = -2*l - j. Does 10 divide i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**(-1\/3)\/s)\/s)\/(s**0\/s))\/((s\/((s\/s**(-2\/11)*s)\/s))\/(s\/(s*(s*s*s**7*s*s)\/s))) assuming s is positive.\nAnswer: s**(-302\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 + 36*n**4.\nAnswer: 3*n**4*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3441 is divided by 246?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = z - 3*f, 0 = 5*z - 3*f + 25 - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 9:40 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-308748)*6\/4*2. Let g = 81278\/7017 + d. Calculate the common denominator of g and ((-6)\/9)\/((-224)\/516).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 - -88. Sort z, 7, -2 in ascending order.\nAnswer: -2, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = 0, r = 4*y - 1504 - 1103. What is the greatest common divisor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 313466706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 18*h**2 - h + 23. Suppose -4*z + 3*t + 82 = -2*t, z + 4*t - 10 = 0. Does 2 divide y(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/(-2))\/5)\/(15*(-22)\/(-21120))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(9\/(-2)))\/(97 + (-408780)\/4212)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(132)\/(sqrt(9)\/sqrt(3)) + sqrt(44) + 2 + 2)*-5)**2.\nAnswer: 1600*sqrt(11) + 9600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 = -d - 21, d + 11 = z. Let o be (d + 0)*18\/24. What is the tens digit of o*-1*5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -56 + 3065 + -2971.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (946*h**2 + 2*h**3 - 269*h**2 - 1 - 116*h**2)*(-2*h + h - 2*h)*(1 + 0 + 1)*(-2 + 3 - 5).\nAnswer: 48*h**4 + 13464*h**3 - 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**2\/2 + 181. Let i(q) = -2*q**2 - 10*q + 1. Give i(y) - 6*o(y).\nAnswer: -2*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*i**2 - 44*i**6 - 8*i**2 + 19*i**2 wrt i.\nAnswer: -5280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*a**3*j - 840*a**3*o - 407*a**3 + 6*a**2*j*o - a*j*o + 120*a*j - j*o wrt o.\nAnswer: -840*a**3 + 6*a**2*j - a*j - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**8\/84 - 4*p**7\/105 - p**6\/10 + 11*p**2 - 67. Let u(z) be the second derivative of c(z). Determine b so that u(b) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-285)\/(-3) + (-22)\/11. Suppose -165 + 45 = -p - 5*u, -p + 4*u = -i. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 109*w**2 - 4*w - 4. Let h(m) = -109*m**2 + 5*m + 5. Determine 4*h(p) + 5*n(p).\nAnswer: 109*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-9) - (-6)\/9. What is the fourth smallest value in 2, -0.1, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -8, -39, -82, -137?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 275744374 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1266 + -2558. Let f be q\/22 - (-6)\/(-33). List the prime factors of 5\/1*(-4 + f\/(-15)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 4084?\nAnswer: 4084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -385.3742668 to two dps.\nAnswer: -385.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -436.92853 + -80.13277. Let n = 517 + c. Let y = -0.061300834 - n. What is y rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/(-182)*32\/1020\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 13*h - 50. Calculate t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 414229327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 309623 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -194, -476, -876, -1394?\n\"Answer: -59*g**2 + 13*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7146 + 10296 = -70*q for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let k = 1010\/7 - 144. Let s = -3\/14 - k. Which is greater: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 13*r**2 - 11*r**2 + 5. Let d be a(-4). Let z = d + 728. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = 4*l - 2*s, 3 = 5*l + s. Suppose 4*m + l*m = 316. Is (1 - (-2 - -2))*m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3)\/s)**(-22)*(s\/s**(-1\/2))\/(s*s**(-7)*s))**(-41) assuming s is positive.\nAnswer: s**(-3403\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqf when three letters picked without replacement from fqfffddffqf?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3733578 or 3733579?\nAnswer: 3733579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4\/11 (b) 0.08 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-1\/79)\/(((d*d**(-1\/2)*d)\/d*d)\/(d\/d**(-3))) assuming d is positive.\nAnswer: d**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*r + 13, 4*g + g + r = 21. Suppose -3*v - 85 = -5*w - 0*v, 0 = w + 2*v - g. What is the lowest common multiple of w and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 4*w**2 + 68*w**4 - 49 - 7*w + 14 - 1 to q*w**3 + h + t*w**4 + c*w + y*w**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -6. Let t = -5 - f. Let h = 0.36 - -0.04. What is the smallest value in t, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7476*k**4 + 37300*k**3 + 46325*k**2 - 500*k = 0. Calculate k.\nAnswer: -5\/2, 0, 20\/1869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 4, o: 1, e: 6, b: 1}. What is prob of picking 2 e and 1 b?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d**2 - 7*d + 10. Give k(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o - 2. Let s = -1 + 5. Calculate the remainder when w(s) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/144*47488\/(-1060).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3385b22 (base 12) in base 9?\nAnswer: 20528548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 39 = 4*n + u, 0 = -2*n - u - 15. Let q(p) = p**3 + 7*p**2 + 4*p - 4. What is the remainder when (2*12)\/(-1 - -3) - -2 is divided by q(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15524 = 4*o, -o - 25879 = 44*v - 49*v. List the prime factors of v.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10887 is divided by 165.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9952093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 167364028?\nAnswer: 2510460420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168392 divided by 97.\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 182884 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005254532 to 6 dps.\nAnswer: 0.000525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46781175.\nAnswer: 3, 5, 7, 89107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611044?\nAnswer: 2, 402761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9460543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2108bb6 (base 13) to base 2\nAnswer: 100110010100010001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/13)\/s*s*s**(-3\/10)*(s*s**(-8\/3)\/s)**(-5\/2) assuming s is positive.\nAnswer: s**(2513\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-120)*160\/(-270)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59152, -118289, -177404, -236485, -295520?\nAnswer: -354497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15*9*(-8030)\/(-438)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 54568748*r**2 + 186109293427340*r - 186109238858596.\nAnswer: 4*(r - 6821093)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*d*k*n**3 + 2*d*k*n - d*n**3 + k**2*n**3 + 80*k**2*n**2 wrt n?\nAnswer: -72*d*k - 6*d + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g. Let p be 5\/(-10)*(17 + -1). Let y(n) = -n**2 - 9*n - 6. Let r be y(p). Let b(l) = -6*l**2 + l**2 + 2*l**2 + r*l**2. Calculate j(b(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7728531 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-278)\/56 + ((-470)\/40 + 8)\/((-195)\/260)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6154 - 443 = 181*a - 262. What is the least common multiple of 99 and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415172675 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2 - 31624340*d + 125012360054450 = 0. What is d?\nAnswer: 7906085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 119. Let q be b(-11). Let a(w) = -6*w + 2. Calculate the least common multiple of a(-3) and (-5 - (-135)\/25)*q*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 5*t**2 - 2*t - 2. Let v be y(4). Let k = 11 - v. Suppose -k*a + 1 = 5*d + 6, -8 = -a + 2*d. 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 t(b) = 9*b**3 + 209*b**2 + 1078*b. Let o(y) = -3*y**3 - 70*y**2 - 359*y. Suppose 28 = 5*h - 27. Let n(x) = h*o(x) + 4*t(x). Factor n(m).\nAnswer: 3*m*(m + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(63) - (4 + sqrt(119)\/sqrt(7)).\nAnswer: -4 - 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h - 9. Let o(z) = -1. Let s(d) = g(d) + 2*o(d). Let a = 3043 + -3047. Let k(n) = 2*n + 4. Determine a*s(l) - 11*k(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8264 in 1808, -5, 2\/11, 4?\nAnswer: 1808","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17533089 and 13617?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59192441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 11*b**4\/24 - 4*b**3\/3 - 33*b**2. Let x(m) = -5*m + 4. Let f be (-2)\/5 + 344\/(-40). Let g(z) = f*x(z) - 4*h(z). What is g(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 34919109?\nAnswer: -34919108.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 3*u + 87 - 59, -4*f - 5*u + 20 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-9))\/(2\/(-3)). Let g = 0 + 13. Solve -k*w + d + 2 + 11 = 0, -g = -5*w - 4*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 54, 52, 50, 48?\n\"Answer: -2*z + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0087227544 to 4 decimal places.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 2*h**5\/5 + 9*h**4\/2 + 2*h**3 - 37*h**2 + 48*h - 5491. Determine t, given that d(t) = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v - 27. Suppose 0 = -5*k - 5*m - 40, -3*m + 64 = -10*k + 5*k. Let n be t(k). Suppose 3*w = 0, 3*j = 5*w - n - 23. Which is smaller: -38 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -524\/3 + 176. Let h = 5.7 - 5.9. What is the closest to 4 in 0.1, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z + 11. Suppose -h + 27*h - 265 = -27*h. What is q(h)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddwdddwdwdww. Give prob of picking 3 d and 1 w.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 768 and 13878.\nAnswer: 1776384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*w = -142, 695 = 5*l + 5*w - 0*w. Suppose -u + 659 = l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 1. Let v = -11.5 + 15. Let f = v + s. Sort 3, 1, f in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 15 = -5*v, -4*f - 13*v + 15*v = -18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33a0 + -c588?\nAnswer: -91e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/116)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297529*k - 5*k**2 + 18*k**2 + 148755*k + 148774*k.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -69, -102, -135?\n\"Answer: -33*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 10*w + 17. Let q be a(-9). Suppose -q = 23*g - 25*g. Factor 0*m - 8\/5*m**5 + 0 + 2\/5*m**2 - 12\/5*m**3 + 18\/5*m**g.\nAnswer: -2*m**2*(m - 1)**2*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*3\/6*-4. Suppose 181976 = 2*t + i*h, t - 5*h = -2*h + 91008. Let a be (0 - 0) + (t - -4). What is a rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 49\/(-28))\/((-2)\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*2\/(-14) - 1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 379*h - 47012. Give z(124).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 1502 + 1046. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -35. Let x = f + 18.4. Sort x, 2, -5 in decreasing order.\nAnswer: 2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41442*k**2 + 10876*k**3 - 10927*k**3 + 41442*k**2.\nAnswer: -51*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2 - 380*q - 507. Calculate b(-91).\nAnswer: 949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1280 - 604. Suppose 5*k - d + 0*d = -f, 5*k + 4*d = -671. Let m = k - -242. What are the prime factors of m?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -412 + 289. Find the common denominator of 75\/8 and 2\/1 + g\/(-66).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47923688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5181.41 + -5088. What is x rounded to 0 decimal places?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -5 - 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1454, 1392, 1270, 1088, 846, 544, 182?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2456909*o**2*p**3 - 25*o**2*p**2 + 707*o*p + o + 938*p**3 wrt o.\nAnswer: 4913818*p**3 - 50*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 15*u - 18.\nAnswer: 3*(u - 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -118470 divided by -1?\nAnswer: 118470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5451 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152704267 divided by 152704267.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from eevveeveeev?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -210211234 (base 5) to base 2\nAnswer: -11010011100010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 693361 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j + 8. Suppose g - j = -g. Solve -z - 3 = g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 24*i**2 + 66*i - 160. Let c be j(26). Calculate the greatest common factor of c and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -20*g**3 + 12*g**2 + 137*g + 7. Let w(q) = -13*q**3 + 8*q**2 + 92*q + 5. Give 5*l(b) - 7*w(b).\nAnswer: -9*b**3 + 4*b**2 + 41*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 14. Let z(c) = 3*c - 3. Let q be z(3). Let g be w(q). Solve 5*d + g = -17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {n: 5, w: 2, h: 12}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.191, 1\/2, -2, -91.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -15*f - 68. Let m be j(-18). Let c = 248 - m. What is the remainder when 179 is divided by c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 72*s + 833. Determine c(-28).\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137 take away -2384075552?\nAnswer: 2384075552.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -197*b. Let s(g) be the first derivative of 6*g**3 - 3929. Determine x(s(y)).\nAnswer: -3546*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - r + r)*(-47*r**2 - 521 + 521) to the form l*r**2 + m + k*r**3 + y*r and give k.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 + 12498178*l**2 - 37494532*l\/3.\nAnswer: -2*l*(l - 18747266)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 4 + (-3 + 3)\/(-6). Suppose -d + m*d = 3558. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/24*40\/5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306\/8 - 24\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b**2 - 6*b + 6*b)*(4*b - 2*b + 0*b - 1) - 6*b - b**3 + 1 - b**2 + 19*b + 5.\nAnswer: 19*b**3 - 11*b**2 + 13*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, 28, 2, 3\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - 0.3. Let w = g - 0.3. Let q = 200 - 204. What is the closest to -5 in -1, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -8*o + 3468. Let j = o + -296. Let g(w) = 2*w**3 + 3*w**2 - 7*w + 5. Let x(r) = -5*r**3 - 7*r**2 + 15*r - 11. Determine j*g(v) - 3*x(v).\nAnswer: v**3 + 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5\/4 + 27*u**4\/4 - 63*u**3\/4 + 33*u**2\/4.\nAnswer: 3*u**2*(u - 1)**2*(u + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -865 or -912?\nAnswer: -865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303030432 - 1141?\nAnswer: 303024241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -16, 3, -7, 28 in descending order.\nAnswer: 28, 4, 3, 1, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*a - 22 = 0, 3*g + 0*g - 3*a + 42 = 0. Let d = 8513 - 136165\/16. What is the common denominator of g\/15 - (-1 - 221\/(-60)) and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j**3\/3 - 13. Let m(i) = 3*i**2. Give m(s(q)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 1. Let v be x(2). Suppose 4*j + 409980 = 3*j + 4*w, 0 = -v*j - 2*w - 1230010. Round j to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231773 (base 8) to base 5\nAnswer: -10010333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5586 and 47775.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475346107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6 + 24. Suppose -o = -u*o + 60. Solve -3 - o = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*((sqrt(539) + -2 + sqrt(539) - sqrt(11)) + 5)*-5)**2.\nAnswer: 1123200*sqrt(11) + 26899200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 1663723.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15) - (-184)\/10. Suppose 5*z + p = 4*k - 0*k, -2*k + 2*z = -8. Suppose k*g + 5 = 19. Solve b - 5*a - 1 = -2*b, 0 = -3*b - a + g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-9 - -2 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**2 + i. Let x be s(-1). Let u be (-15)\/(-6) + (-3)\/x. Factor 11*y**3 - 4*y**u - y**2 - 8 + 4*y - 15*y**3 + 13*y**2.\nAnswer: -4*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f = q + 406, -q = -2*f + 810. Suppose -2*i = 2*h - 868, 2*i + 5*h = 3*i - f. What are the prime factors of i?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)*(40\/(-5) + 3). Solve j = 39*y - 44*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-6 - 2) - (-71 + -11 - -42)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6663935821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 440327.8nm?\nAnswer: 0.0004403278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.9.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmynmmmmyyqyyxymyy. Give prob of sequence ynq.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 614 - 611. Suppose h - 2*h + 5*y + 607 = 0, -o*h = -4*y - 1843. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30684873 and 2103?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s**3 - 8*s + 11. Calculate the remainder when m(-5) is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4370 divided by -10?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*y + 5 + 4*y**3 - 3 - 69*y - y**3 + 3*y**4 to the form f + n*y + k*y**2 + m*y**4 + d*y**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-25))**(4\/15))**27 assuming r is positive.\nAnswer: r**(-864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3432 is divided by 1672.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*q = 24994, -5*t + 8*t = -2*q + 74942. Is 32 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 1. Let k(f) = -f - 1. Let n be k(-1). Let r be y(n). Is -2 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*j + 56 - 13916 = 0. Calculate the remainder when j is divided by 118.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 18}. Give prob of picking 2 w.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1138, 1188, 1240, 1294?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4\/39, -0.077, -400 in descending order.\nAnswer: 4\/39, -0.077, -5, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -48420607 divided by 2848271\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b10a (base 14) to base 12.\nAnswer: 3399a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679353311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:26 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/3 + 2*a**3\/3 - 12*a**2 + 57*a. Suppose i(s) = 0. What is s?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z**2 + 19. Let w(x) = x**2. Determine w(b(l)).\nAnswer: 121*l**4 + 418*l**2 + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 96 = -24*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*f + 2*f**3 - f**4 + 20*f + 4 + 2*f**2 - 73*f**3 + 17*f in the form g*f + a + q*f**2 + y*f**3 + n*f**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f**13\/f)*f)*f)\/f)\/(f*f**(-1\/5)*f)*(f**4)**(1\/6) assuming f is positive.\nAnswer: f**(133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57341 = -32*j - 8381. What are the prime factors of j?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 8:10 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 56 = 2*y, 24 = y - 3*h + 4*h. Suppose 0 = -8*z + y + 14. Let g be (z + -3 - 0)*143. What is the greatest common divisor of 26 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5239.18 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose -k*v + 5075 = 3*r - 5419, r + v - 3497 = 0. Let s be -2 - r - (-6)\/3. What is s rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1708273 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1766731 - 3?\nAnswer: -1766734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j - 2. Let b(p) = 2*p + 1. Let r be b(1). Let h(t) = t. Let s(v) = r*h(v) + n(v). Differentiate s(i) with respect to i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2140*a**5 + 804*a**3 - 33116*a + 57 wrt a?\nAnswer: 42800*a**3 + 4824*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*b*b**(-8))\/b)*b)\/b*b*b)**(-20)*b**(-24)\/b**(-2\/9) assuming b is positive.\nAnswer: b**(-1834\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -230 + 224 + (1 - 25).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 3*r**4 + 11*r**5 + (-3 + 5 + 0)*(-2 + 6 - 3)*(3*r**2 - 62*r**5 - 3*r**2 - r**2) + (0*r - 2*r + 4*r)*(r**4 + 2*r**4 - r**4).\nAnswer: -109*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (4 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242376*a - 44*a**2 + 242376*a + 1)*(2*a - 2*a - a**3).\nAnswer: 44*a**5 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0 + 5 - 2 - 6 + 16*o. Let s be m(-7). What is the units digit of s\/(-9) - 4\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -11 + 7, 4*x - 3*a + 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f + 129. Give h(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19102 is divided by 2718.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**3 - 673*b**2 - 260*b - 1339. Calculate x(135).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*u + 18 = -u, 4*w = -u - 15. Let i be (-2)\/(-6) - 24\/(-9). Let c = i + w. Solve c*m - 3*m = 9, -5*k - 4*m + 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w - 3*w)*(w**4 + 3*w - 160 + 160).\nAnswer: -2*w**5 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 2:34 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469510664?\nAnswer: 2, 7, 8384119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4\/19, 0, -125\/22, 5, -4\/7 in ascending order.\nAnswer: -125\/22, -4\/7, 0, 4\/19, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b - 10. Let c be n(-6). Solve 5*u - 13 = t + 3, 3*u = -2*t + c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2280428*d**2*o**2 + 3*d**2*o + 2*d**2 + 5224*d - 50*o**2 + 283*o + 2 wrt o?\nAnswer: 4560856*d**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from blhihbdebiib?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (33 - 9) + -33?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/2*h - 3\/2*h**2 - 1.\nAnswer: -(h + 2)*(3*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23d (base 16) to base 11.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*w + 1599 + 16896 = 0. What is the remainder when 416 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 16*p - 9 - 27*p - p**2 - 6. Let g be x(-9). Suppose g*q = r - 91, -q = 5*r - 225 - 150. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -523532*i*z**5 - 3*i*z**3 + 2*i*z + i + 282*z + 1 wrt z?\nAnswer: -10470640*i*z**3 - 18*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57254418.\nAnswer: 2, 3, 13, 81559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2219641584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1614, -2627, -3638, -4647, -5654, -6659, -7662?\n\"Answer: m**2 - 1016*m - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-6)\/30)\/((-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 3. Let o be y(-2). Suppose -4*b = -u - 2*b + 56, 5*u - o*b - 275 = 0. What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 1:22 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - j + 2*j)*(5 + 27*j - 13*j - 15*j) in the form q + x*j + w*j**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 7 + 1, -4*i - 2*g + 532 = 0. Suppose 0*f = -6*f + i. Suppose 0*y - f = -y. Solve 5*l - 5*a = 2 + 3, -2*l - 3*a + y = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.35 + 16.25. Let w = -26 + 51. Is l equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*t + 3, 4*b + 3 = -3*t - 0*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 34. Let o(b) = -4 - 4*b + p - 7 + 2*b. Let l be o(-1). Solve -l*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*(78\/10)\/(198\/(-1320)*3)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-15))\/((-21)\/70). Suppose n = -3, g*n - 3*n = p - 36. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (44\/4 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/12)\/((-1)\/3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9715.152 + -9706. Round p to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 35257437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 - 5*x - 5. Let t(g) = g**3 + 4*g**2 + 4*g + 4. Give 4*r(d) + 5*t(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2048, 2076, 2138, 2234, 2364?\n\"Answer: 17*u**2 - 23*u + 2054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 2. Let k be h(3). Suppose 0 = -4*m + 5*o + 33, -m - k*o = 2*m + 19. Put 5, -4, m in increasing order.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*r + 2*o + 772, -4*r + 5*o = -604. Calculate the remainder when r is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = k + 5, 4*b + 2 = 10. Let l be (11467\/3)\/(k\/108). Suppose -36396 = 2*w + l. Round w to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12513 (base 7) to base 11\nAnswer: -2569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as -4863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:47 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*2*(1*sqrt(100) - sqrt(25) - sqrt(25))\/(sqrt(5) - -1*sqrt(5)*-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -164 + -31306?\nAnswer: -31503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**2*v + 2*l**2 - l*v**2 - 1806*l + 597*v**2 + 3*v + 3 wrt l?\nAnswer: 4*l*v + 4*l - v**2 - 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0.352. Let l = 3047 + -3053.652. Let f = l + p. Round f to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.154 - -0.246. Which is the second biggest value? (a) r (b) -0.11 (c) 0 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.787069 weeks?\nAnswer: 476019331200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*32\/132 + 2\/(-11). Suppose 0*t - 4*r = -2*t + 32, -p*t + 30 = -2*r. Suppose 0 = f + f - 2*y - 20, -2*f - 3*y - 5 = 0. Put 2, f, t in ascending order.\nAnswer: 2, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*a = 10, -3*l + 14 = l - a. Let s = 8 - -7. Let v = s - 10. Solve -l*k - 3*x = 6, 4*x = -v*k + 2*x - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-140)\/(-16)))\/(11020\/(-950)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.6 times -10\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 250*q**2 + 42*q + 21. What is the thousands digit of t(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -2 (c) 396 (d) -7 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -558300 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3\/267688 (c) -4\/39 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -632 - -636. What is the greatest common divisor of 118 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 19*i - 15. Let b be p(18). Suppose -4*o + 4*a = -568, b*o - a - 342 = 84. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(51)*2*2*1)\/((sqrt(3) + (sqrt(3) - ((sqrt(45)\/sqrt(5))\/sqrt(3) + sqrt(3) + sqrt(3))))*-2)*3.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -0.48, -0.1, 9?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 31. Let f be l + (3 - 4) + 2. Are f and 3\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-20))\/(-1))\/(1\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (1 + sqrt(1872))) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.024 + 0.024046. Round o to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 21*r + 16. Let s(j) = 10*j + 7. Let h(v) = 2*o(v) - 5*s(v). What is h(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -9 + (6 - 1) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2283268 and 6.\nAnswer: 6849804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 113. Let i = -19 - u. Suppose -3*z + i = -2. Calculate the remainder when 21 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297884813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*v + 137698 = -477325. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4552251.\nAnswer: 3, 11, 137947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -43\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133001233 (base 4) to base 12.\nAnswer: 61667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(187) - (-1*sqrt(187) - sqrt(187)) - sqrt(187)))\/sqrt(11) - (1 + (0 + sqrt(425))**2).\nAnswer: -426 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1985, -4021, -6047, -8057, -10045, -12005?\nAnswer: -13931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -66491 and -0.03.\nAnswer: -66491.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 17 + 4 + -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 7*f = 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d\/(((d*d\/(d**(1\/28)\/d)*d*d)\/d)\/d))\/d)\/d*d**(-1\/7))\/((d*d**(1\/23)*d)\/d*d)**(30\/13) assuming d is positive.\nAnswer: d**(-65493\/8372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/3))**(-21\/2)\/((v*v*v**(-3\/10))\/(v*v**(5\/4)))*(v*v\/(v*v**(-1\/2)))**(1\/48)\/((v\/v**(-1))\/((v*v**(-3))\/v)) assuming v is positive.\nAnswer: v**(-2947\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9698988 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 280.613 - -0.387. Let s = m + -282.6. Which is the nearest to -0.1? (a) 3\/2 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*t**3*y**3 + 17*d**2*t**3*y**2 + 7*d**2*t**2 + 2*d**2*t*y + 2*d*t*y**3 + t**2*y**3 wrt t?\nAnswer: 12*d**2*y**3 + 102*d**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -14. Suppose -9 = j*r + r. Let v(z) = -2*z**3 - 3*z**2 + z + 2. What are the prime factors of v(r)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -806 - -5666\/7. Which is the second smallest value? (a) 0.2 (b) -3\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123207 - 85725. What are the prime factors of k?\nAnswer: 2, 3, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = x. Let o = 3 + x. Suppose o*j - 4*p = 135, -j + 5*p = 3*j - 108. What is the highest common factor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 18 - 11 = 4*a - 2*w - 8 + 10, 28*a - 217 = -5*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + 267*c**2 + 39*c + 3486. What is a(-89)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (54 + 4*z - 133 + 67)*(-6112 + 236*z + 6112) in the form o*z**2 + a + g*z and give g.\nAnswer: -2832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542589 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/84)\/(5*2\/70))\/(-27)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 134*x**2 + 1026*x + 2286. Calculate p(-126).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 71. Let n be p(12). Which is smaller: n or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.847*-11.5.\nAnswer: 9.7405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**2 + 8*c + 14. Let s(g) = 4*g**2 - 3*g - 5. Let z(r) = 3*n(r) + 8*s(r). Let f be z(0). What is the units digit of f - (-1 - -3)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-19)\/(-1))\/57)\/((-4)\/(-84)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1048, -1144, -1238, -1330, -1420?\nAnswer: -1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2. Let o(l) = -7*l**2. Let h(q) = q**2 - 47. Let x be h(7). What is x*d(k) + o(k)?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1683 and 5128033.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48619 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: Let p(d) be the second derivative of d**6\/50 + 3*d**5\/25 + 3*d**4\/20 - 2*d**3\/5 - 6*d**2\/5 - 16*d. Let p(v) = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 2, j: 1}. What is prob of picking 1 r and 1 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axaaaaxaaaa. Give prob of picking 1 x and 3 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155 - -157. Let d(a) = -39*a**2 + 22*a**n + 22*a**2. Let c(f) be the second derivative of -f**3\/6 + f. Give c(d(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1307, -5532, -12597, -22502?\nAnswer: -35247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32\/67 - -4996\/201. What is the common denominator of n and (12\/21)\/(1\/9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -15. Suppose 0 = -4*x + 3*x + 4. Suppose m + 4*m - x*s = 30, 15 = 5*m - s. Solve -m*p - q*p = -2*a - 4, -2 = -5*p + a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331530 - 331663 - 5*f**3 + 663193.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.29\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)*n)\/n**(-7)*(n\/n**(1\/2))**(-19)*(n\/(n\/(n\/n**(-1\/4)*n)))**(3\/4)\/(n**1*n*n\/(n**(2\/9)*n)) assuming n is positive.\nAnswer: n**(-265\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, p: 2, s: 4, o: 1, e: 3}. Give prob of sequence so.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 47. Let u = 42 + h. Let j be (3\/(-6))\/(u\/42). Solve 0 = 2*i - 4*a - 2, j = -5*i - 0*i + 2*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418234477 to the power of 1\/2, to the nearest integer?\nAnswer: 37659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.2 - -4. Let n = -23\/8 - -21\/8. What is the biggest value in 0.3, c, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*d - 14*d + 690 = 0. Solve -4*k = d*t + 2 - 6, 2*t - 1 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7437748 divided by 25\nAnswer: -7437748\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86735312.\nAnswer: 2, 367, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -27\/5*w**5 + 1\/30*w**6 + 17*w + 0*w**2 - 1\/6*w**3 + 2 - 25\/12*w**4. What is the third derivative of x(p) wrt p?\nAnswer: 24*p - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -1462.4\nAnswer: -731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 36 - 1952\/152?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y + 42 = 2*l, 2*l - 4*y - 72 = 0. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 29. Let w be o\/(-6) - (-30)\/45. What are the prime factors of 52\/8*14 - w?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -224 + 214 - (0 + -9 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4354*m - 1 - 3477*m + 1 to the form j*m + a and give j.\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 14 - (-10 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by -20\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042408 to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -688*p**3 + 3*p**2 + 8*p + 7. Let u be -1 - 0 - 1 - (42 + -42). Is v(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 10257 + 10369 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-43 - (2 + -5))) + (739 - 735).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaxtj. What is prob of picking 1 j and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrtrrrrrtrt. What is prob of sequence ttrt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Let h(b) = -b**q - 3 + 3. Let r(i) be the second derivative of i**4\/6 + 25*i. Calculate r(h(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15850668 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/3 + 28228*y**2\/3 - 18824*y.\nAnswer: 4*y*(y - 2)*(y + 7059)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56350*j**4 + 76*j**2 - 533*j wrt j?\nAnswer: 1352400*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003630581 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (30 - 12) - (6 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124361897 and 259325?\nAnswer: 10373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*m**3\/7 - 1192875*m**2\/7 - 6587900700*m\/7 - 1829880375\/7.\nAnswer: -3*(m + 11045)**2*(18*m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -280, 1\/2, -2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2626 is divided by 49?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8 + 1732\/8*1. Let j be (2*3)\/(-3)*12\/y. Which is the fourth smallest value? (a) j (b) 1\/4 (c) -4 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjcccjccydcdcaccdcca. What is prob of sequence jy?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 713156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + m + 45 = 0, 2*m - 1 = 5. Let r(p) = -p**2 - 21*p - 22. Let o be r(-1). Let z be -4*o\/((-8)\/(-9)). Which is greater: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**4 + 2*l**2 + 193 + 20*l**4 - 796 + l**2 with respect to l.\nAnswer: 100*l**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020467 > -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.8 and -0.05179.\nAnswer: 2.74821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116879\/3 + -38960. Let r(f) = -f**2 + 5*f - 3. Let a be r(4). What is the nearest to -2\/7 in p, 6, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -56058, -56059, -56060?\n\"Answer: -p - 56057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h - 23*h - 7 + 13*h + 1 in the form c*h + t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50984 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -1)*640\/(-30). Are -64 and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 3*y**2 - 4*y - 2. Let v be p(-6). Let r = -29 + 42. What is the greatest common divisor of r and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -23686a?\nAnswer: 236870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 604556 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 426\/(-15)*(-4)\/(-64) and -139\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -233, -4 in decreasing order.\nAnswer: 4, 0, -4, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -1\/11*u**3 - 7\/11*u**2 + 0 + 30\/11*u = 0?\nAnswer: -10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 214*l - 91*l + 429*l - 2 + 491*l to t*l + g and give t.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) + (-2)\/((-20)\/9066) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13952249357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 774284*n. Let a(g) = g. Calculate u(a(d)).\nAnswer: -2*d**2 + 774284*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g = -24. Let l(y) = y**3 + 2*y**2 - y + 4. Let v be l(-3). Let i be v\/(-3) + 568\/g. Round i to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(135)*2)\/sqrt(9))\/(sqrt(9)\/((sqrt(243) + (sqrt(243) + sqrt(243) + 2*sqrt(243) - sqrt(243)) - sqrt(243)) + sqrt(243))).\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 17*u**2 - 5*u + 4. Calculate x(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, -4675 in ascending order.\nAnswer: -4675, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 484330 and -0.1.\nAnswer: -48433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 22*m + 14. Let u(y) = 5*y + 43. Let i be u(-13). Let h be b(i). What is the derivative of -22 - 5*t - 15*t + 2*t - h wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*7\/(14\/4). Suppose 2*o + 2*j = 930, -4*j = -d*o + 470 + 1422. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i. Let k(z) = -4944*z**2 + 53. Determine u(k(a)).\nAnswer: 34608*a**2 - 371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 2889*f**5\/20 + 4694*f**3\/3 - 2*f + 278. What is the second derivative of p(m) wrt m?\nAnswer: 17334*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 9*v**2 + 2*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Let i = -14993 - -15005. Solve 0 = 2*h - a*q - i, -7*h + 25 = -2*h - 5*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9980 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 3\/16, 10\/347?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -598*i + 1628. What is the ten thousands digit of r(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 85*k = -256. Sort k, -0.01, 5, 2\/13.\nAnswer: -0.01, 2\/13, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 374. Give r(-61).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1091 + 1371. What is the highest common divisor of 245 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278107213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.521 + -0.021. Which is the third biggest value? (a) l (b) -13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 979 - 524. Let i be v\/20 + 4\/16. Suppose i - 7 = 4*o. Solve -8*g + 4*g = o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - r = -8 - 122, 23*s + 4*r = 21*s - 74 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-31)\/1) + 5 + -6. Suppose 0 = -15*v + 19*v - l. What is the lowest common multiple of 5 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 10 (c) -4\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11033024232333 + -1?\nAnswer: 11033024232332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-52))\/(5\/(-2)*106\/(-795)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -7 (c) -0.1475 (d) 0.3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*sqrt(176)*2 - sqrt(176))*3 + -2*((6*(-1 + sqrt(176)))**2 + -2*sqrt(176) + sqrt(176) + 1) + 2.\nAnswer: -12744 - 208*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 2\/3, 0.47, 5, -1?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 8263*t**2 + 8262*t**2 + 7 - 48 + 8.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 33901 = 34153 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-1 - 0 - -64). Let j = -41 - g. Suppose 4 = -h + j. What is the lowest common multiple of h and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*f + 47998 = 303*f. Calculate the remainder when 768 is divided by f.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2122.7 + -2120.7. Let q = -4.99 + 5. What is the fourth smallest value in -3, q, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaacgaadaaaaagdigdc?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 27?\nAnswer: -16\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 15 = 8*o. Solve 0 = -3*t + 6, -z - o*t = -6*z - 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Solve -m - 5 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let s(n) = 2*n + 7. Let j(f) = 4*g(f) + s(f). Let d(k) = k**2 + k + 25. Calculate the remainder when d(0) is divided by j(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 770*r + 1 + 769*r + r**2 - 4*r**2 + 213*r**3 + 41*r**3 as x*r**2 + v*r**3 + b + t*r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/((-27)\/(-108))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -512*j*t**3 + 8882*j*t + 10*n*t**3 - 2*n*t**2 - 5*t**3 wrt t?\nAnswer: -3072*j + 60*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352077?\nAnswer: 3, 11, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1920\/(-32)*(7\/4)\/7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -184. Suppose -17*j = -19*j + c. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3))**(-2\/35))**(-6)*(x**1*x*(x**(-4)*x)\/x)**(-41) assuming x is positive.\nAnswer: x**(2866\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 0, -i = 3*i - 3*a - 13052. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:56 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2005 = -1997 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -58. Let n be y + -1 - 75\/(-15). Suppose 8*g - 40 = -n*g. Solve -2*a - 2*w + 12 = -0*w, 2*w - g = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250796198 to the power of 1\/3, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17178, -17178, -17176, -17172?\nAnswer: -17166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 - 3 - (-6 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 2*f - 2. Let g be c(3). Let l be g\/2 - (-1 - -3). Let v = l + 3. What is the highest common factor of 9 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 60, -818, 7.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -12 - (6 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/1456829?\nAnswer: 8\/1456829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 2*y. Let h = y - -2. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453105 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/8 + -1\/8. Let u be 16\/64 - 81\/180. Which is the nearest to u? (a) 6\/11 (b) -2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93*b*h**3 - 270*b*h**2 + b*h - 1159753*b wrt h?\nAnswer: -279*b*h**2 - 540*b*h + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1134, 4.\nAnswer: 4, 5, 1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 355, -1303, -4067, -7937, -12913?\n\"Answer: -553*w**2 + w + 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31950, 82804, 133658, 184512?\n\"Answer: 50854*p - 18904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*f = -14, -12 = -3*u + 3*f - 6*f. Suppose 0 = 6*w - u*w - 256. Suppose 3*q - 7*q + w = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 13. Let i be h(-13). Suppose i = -3*s + 40 + 68. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 2. Suppose 0 = -25*a + 20*a. Calculate n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -419, -62, -0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44546 - 37836 = -15*b + 720*b + 1718*b for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35520885 to the power of 1\/2, to the nearest integer?\nAnswer: 5960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127755 divided by -167?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1046*l**2 - 4889*l. Determine s(5).\nAnswer: 1705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 25 + 33 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 87*j - 319. Let c be g(-47). Solve 4*k + c = m + 3, -5*m + k + 16 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, and 1 t when three letters picked without replacement from {l: 6, x: 2, y: 1, t: 4}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r**2 - 1\/180*r**6 + 0*r**5 + 5 + 1\/24*r**4 + 0*r + 5\/3*r**3. Let k(j) be the third derivative of l(j). Calculate k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971392 is divided by 485047.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 462\/(-91) + 5 + 41406\/(-1339)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5966 - 5806. Calculate the remainder when 398 is divided by v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose -a + 4 = a + x*i, 3*a = 2*i + 6. Suppose -v + 3 = 3*t, -v + 0 + 2 = 2*t. What is the remainder when a is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2647*i. Let s(y) = 49*y. What is t(s(j))?\nAnswer: 129703*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(190) - (sqrt(190) - (sqrt(190) - 4*sqrt(190)))*1 - sqrt(190)))\/(2*sqrt(250)*1 + sqrt(250)).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*d - 2*y, -3*d = y - 0 - 1. Suppose d*h - h = 363. Does 48 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 11:13 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*u + 205399655 - 205399655.\nAnswer: 352*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) -1\/11 (b) 0.5 (c) -2\/7 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 549, -16, -3\/7, -3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 divided by 3116329.\nAnswer: -133\/3116329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 705 divided by -2.\nAnswer: -705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/5))**50*((r\/(r**18*r))\/r*r)**(-4\/5))**(-21) assuming r is positive.\nAnswer: r**(-2562\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26\/203 - 12716\/1015. Let x(p) = -p**2 + p - 1. Let i(r) = 5*r**2 - 10*r - 1. Let f(w) = -i(w) - 4*x(w). Let h be f(8). Is h >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*(-1)\/6 - 0)*(-576)\/96. Solve -f*n = -5*a + 3 - 7, 0 = 4*a - n + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1770)\/2478)\/(129\/(-63) - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**4\/12 + 2*s**3\/3 - 3*s**2 + 12*s. Give d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) 0 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 15*l + 20 = -13*d, 4*d = -3*l + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007903 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101336176 divided by 12667022\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 712708 and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 2. Let q be b(10). Suppose h = -h + q. Suppose a - h*p + 109 = 2*a, 4*p = 4*a - 476. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 15*t - 13. Let b(a) = a + 2*a - 12*a. Let u(o) = o. What is t*b(v) + 21*u(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(1088)*-1) + sqrt(85)\/(sqrt(5) + sqrt(45)) + sqrt(136)\/(-2*sqrt(40)\/sqrt(5)).\nAnswer: 35*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24468425 - -1?\nAnswer: -24468424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29)\/(((-10)\/(-8))\/5)*259655. Let h be 10\/(-75) + p\/150. Round h to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 - 4)) + (4 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2 + 3 + sqrt(98))*1)**2.\nAnswer: 28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 883 divide 5790157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -624036 divided by 3059.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = -2*b, -4*b + 2*v = -61 + 35. Let f = -1 + 1. Sort -2, f, -3, b.\nAnswer: -3, -2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -287*t. Let r(g) = 1261*g**2. Calculate j(r(q)).\nAnswer: -361907*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/8 + (-7962)\/(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -151*w**2 + 16*w. Let v(n) = 25*n. Give f(v(s)).\nAnswer: -94375*s**2 + 400*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -243*o**3*w - 127*o**2*w + 9*o + 7174*w - 79 wrt o?\nAnswer: -729*o**2*w - 254*o*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10110?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.1 times 0.21?\nAnswer: 169.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 10:34 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*c - 227*c + 22860 = 93*c for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29498 - -22363.29.\nAnswer: 51861.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-8) + (-13)\/(-4). Suppose o*s = 2*s. Suppose 0*k + k - 26 = s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 3, 5, -1\/5172?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -55 - 4.299950728\nAnswer: -59.299950728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 18 = 5*x, 3*x + x = -3*z + 14. Suppose -15 = -y - z. Suppose -3*k + 55 = -2*g, -2*g - y = k - 42. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4\/(-16)*6*-12 and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199178, -199167, -199156, -199145?\nAnswer: -199134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22489, 4, 35, 5, -2 in increasing order.\nAnswer: -3, -2, 4, 5, 35, 22489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40886610091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-2\/11)*q))**(-47) assuming q is positive.\nAnswer: q**(-94\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -254099108*s**2 + 709116127.\nAnswer: -508198216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 30*n**3 + n - 4. Suppose -26 = -4*c - 5*q, q + 14 = -0*c + 4*c. Let r be b(c). Suppose 2*k - r = -2*k. What is k rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1442 and -434?\nAnswer: -625828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {k: 3, p: 6, i: 3, c: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.95 and 3.\nAnswer: 5.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316224?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/4 - (-3)\/(-6). Let m(y) = y**3 + 6*y**2 - y - 3. List the prime factors of m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 745, -4\/65, 4 in increasing order.\nAnswer: -4\/65, 4, 745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1188, -1209, -1264, -1371, -1548?\n\"Answer: -3*y**3 + y**2 - 3*y - 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2575*g**5 - 4*g**2 + 11765*g?\nAnswer: 51500*g**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2 - u + 0*u - 1. Suppose 0*p = -p + 2*z - 8, -5*p - 32 = -2*z. Let x be -2*9\/p + (1 - 1). Calculate l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from vkvvkvvkvknvkknnkk.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-18 + 10 - (-1 + -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99382 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2. Let v(l) = -313*l**2 + 2. Give v(f(u)).\nAnswer: -313*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 854273863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(272) - (sqrt(272) + -3*sqrt(272))) + 0)**2*3.\nAnswer: -216*sqrt(17) + 7371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -713\/39 - -1736\/117. Calculate the common denominator of t and 42\/1223.\nAnswer: 11007","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - f)*(-2*f**3 + 12*f**3 - 4*f**3).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.41 - -0.23. Let v = -0.21 - x. Sort -1, -4, v in increasing order.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*q + 292*q = 5*j + 25, -3*j + 3*q = -14*j + 43 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 69 - 76 = 0. What is the remainder when 75 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwi when three letters picked without replacement from {i: 5, w: 8}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:05 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5, -3*a - 61 = g - 68. Solve g = -3*v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 7:51 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 195*p**5 + 198*p**4 - 18*p**3 + 2*p**2 + p - 7970959?\nAnswer: 11700*p**2 + 4752*p - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 1. Let h(o) = 5*o - 2. Let n be h(v). Solve -2*y + 1 + 0 = 5*i, -6 = -n*y - 3*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.431741938 rounded to 2 decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 443 and 4?\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 185406476 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -5 (c) -1 (d) 2 (e) 0.5 (f) -10\/3 (g) -4968\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 22*q + 2. Does 19 divide b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + d1?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s - 60. Is s + (2 + -2)\/2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14257*v + 2860*v + 2858*v + 2859*v + 2859*v + 2820*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/9)\/(2\/(-372)). What is the second derivative of 4*b**3 + 64*b - r*b + 65*b wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3330730.9 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81483611*u**4 + 42775446 with respect to u.\nAnswer: 325934444*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*x + x**5 - 719*x**4 - 5 - 730*x**4 + 1551*x**4 + 4 wrt x.\nAnswer: 20*x**3 + 1224*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) -3 (c) -1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 15*z + 15. Determine j(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/4 + 1107*t\/2 - 483070 = 0 for t.\nAnswer: -2884, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 16.5. Let w(p) = -p - 7. Let u be w(-5). What is the second biggest value in m, u, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -46?\nAnswer: 21\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:53 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -10, -18, -46, -100, -186, -310, -478?\n\"Answer: -d**3 - d**2 + 16*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 95.921um?\nAnswer: 0.0095921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + d + 1. Let p(s) = 7*s**2 - 2*s - 3. Calculate -4*p(t) - 9*z(t).\nAnswer: -t**2 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(1800\/(-16))*(-25)\/(-40).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let s be 46*4\/8*o. Let j = s + -15. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 104 = 29. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -54*h**3 - 77*h**2 + 17*h. Let x(k) = -9*k**3 - 13*k**2 + 3*k. Let p(l) = 34*x(l) - 6*y(l). Find the third derivative of p(g) wrt g.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*u**5 + 12516*u**4 + 25794*u**3 - 29052*u**2 + 6723*u = 0. Calculate u.\nAnswer: -83, -3, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/2 + 4*c**3\/3 + c**2 - 6. Let r be z(-2). Let g be ((-6)\/r)\/((-2)\/(-4)). Solve -g*p + 5 = -4*a, -p - 2 = -4*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75986197 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 2, n: 2, g: 3, r: 3, f: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 88133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 2*i + 46, 8 = -2*o - 4*i - 20 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 61. Let v(x) = 16*x. Let p(k) = 3*k. Let s(a) = j*p(a) - 6*v(a). Let y(c) = c**2 + 0*c + 0*c. Determine s(y(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -62 - 8. Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 313048611 to the nearest one million.\nAnswer: 313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 12.003. What is h rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352.7543l to millilitres.\nAnswer: 352754.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 46. Let a = -89 - j. Let i = -52.0000285 - a. Round i to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*p - 829*p - 13566 = 0 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2217 - 123 = 3*l. What are the prime factors of l?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9766, -9765, -9762, -9757, -9750?\n\"Answer: c**2 - 2*c - 9765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -45*a. Let q(l) = 2*l - 11. Let v be q(5). Is 9 a factor of c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*x + 136*x = j + 3, -3*j = 4*x + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 8697833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(171)*-3*6)**2 - (-2*sqrt(2299)*-4 + sqrt(2299) - sqrt(2299))).\nAnswer: -88*sqrt(19) + 55399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 15*i**2 + 7*i + 16. Give m(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/3? (a) -274 (b) -1\/4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72723625 to the nearest integer?\nAnswer: 8528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 - 0 - (6 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -10*m**2 + 192*m + 922. Let h(x) = -4*x**2 + 63*x + 307. Let k(n) = -3*c(n) + 8*h(n). What is z in k(z) = 0?\nAnswer: -31, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3*p**3 + 21324*i**3 - 235*i**2 - 12536863*i*p**4 - 2*i wrt p.\nAnswer: -3*i**3*p**2 - 50147452*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, 3, 891, -13 in increasing order.\nAnswer: -13, -5, -1, 0, 3, 891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -62 - (-515 - -495)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -698\/27 (b) -13 (c) -2\/19 (d) -2\/15 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/34213932 and 155\/164688?\nAnswer: 136855728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00134382 rounded to five dps?\nAnswer: 0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 7415 + 805. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 5*j + 12 = 0. Solve -j*v + 5 = 5*o, 0*v = -3*v + 5*o + 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 3 + 3)*(0 + 2 + 4)*(1 + 0 + 1) - 21 + 21 + 2*j + (39 + 11 - 16)*(-3*j - j + 3*j) as l + x*j and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -130\/9 or -0.0791?\nAnswer: -0.0791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p - 27, -3*w - 2*p + 6 = p - 0*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**0\/f)\/f*f)**(-19\/5)\/(f*(f*f*f**(-10)\/f*f)\/f*f*f*f*f**(-14\/3)) assuming f is positive.\nAnswer: f**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 + 317*n + 316. Give s(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2219*i + 2217*i + 7*z - 32, 0 = -i - 3*z - 16 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.4156 rounded to two dps?\nAnswer: 41.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h - 4*h. Let v = 1 + h. 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 -0.003355407 rounded to six dps?\nAnswer: -0.003355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.0305 meters in kilometers?\nAnswer: 0.5960305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-2205)*-5*-3.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1957*o**5 - 52*o + 1.\nAnswer: 39140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 11. Let i be q(9). Let x be 9\/i*8\/12. Suppose f - x = -0*f. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 69, -5, -3, -50, -1\/49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6381897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*c + 632*c = 65 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48633740, -48633742, -48633744, -48633746, -48633748?\n\"Answer: -2*q - 48633738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 2:04 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 2 - -1*7. Let a(j) = j + 6. Let m be a(-3). Suppose -5*n = -b - m. Solve -30 = -n*k + 5*w, -2*k - k - 2*w = -7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 23194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191807 + -110312. What are the prime factors of i?\nAnswer: 3, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2194*o - 46071. What is b(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-2975)\/(-170)*(-780)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3533501 and 85?\nAnswer: 17667505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + p = -2*p - 321, 2*p - 72 = -q. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 8318?\nAnswer: 24954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 5:37 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 24*x**2. Let u(m) = -4*m**2 + 6*m + 6. Let k(a) = 7*a**2 - 11*a - 11. Let q(j) = -6*k(j) - 11*u(j). Give g(q(o)).\nAnswer: 96*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -58*b. Let d(z) = 3478*z. Calculate x(d(r)).\nAnswer: -201724*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -167*h - 407*h - 148*h - 35378 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -733183168 plus 1?\nAnswer: -733183167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4 + 3*n**2 - 2*n**2 + 0*n**2 + 2*n. Let t be i(-4). Suppose -t*o + 80 = 4*w, 10 = 2*w + 4. Calculate the highest common divisor of 34 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -6*r + 89. Suppose 0 = 8*a - 10 - r. Let z be (1 - (-1 - -2))\/1. Solve y - a*y + 5*h + 13 = z, -5*y - 2*h = 30 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*b - 1486*b = -57623 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 + 4 - (10 + -16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k - 5. Let r be l(-2). Suppose -3*n - r*n = -24. Suppose n*i = -12, 0*j - 5*i + 325 = 2*j. What are the prime factors of j?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 357\/(-15) - (-4)\/(-20). Let c be (6\/(-8))\/(9\/p). Suppose -233 = -4*t - 5*i, 0 = c*t - 0*i + 2*i - 116. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 7119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 540*l - 26550. Give z(49).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 409494 and 258266?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 66*p - 570. Give b(11).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/5 + (-57)\/(-15). Suppose 2*l - l - 44 = -2*j, r = -2*j. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/11, -0.5, 2\/3493, -5?\nAnswer: 2\/3493","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cckc when four letters picked without replacement from cckckcjjckkjkkc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40.4 - 40. Let y = -6 - -10. What is the nearest to -1 in -5, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 19*f**2 + 17*f + 1. Determine m(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1015 - -2630. Let q = 6476 - v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = -u - 2*u, 16 = -2*u + 4*k. Let g(s) = s + 1. What is the units digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 11, -0.146?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a - 23 + 23)*(-a - 4*a + 3*a) + 5*a**2 - a**2 - 2 + 0 to the form k + o*a + h*a**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/((-49)\/(-21)). Let k(v) be the first derivative of 2\/7*v - m*v**2 - 1 + 2\/21*v**3. Factor k(p).\nAnswer: 2*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.41 - 0.01. What is the smallest value in -5, 3, -3, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3324\/127157 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -2\/3 (c) 8 (d) -2\/5 (e) 18\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 20007*m. Let a(r) = 39*r**2. Calculate z(a(i)).\nAnswer: 780273*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*v + 11*v + 16240000. What is v rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269\/3 - 22267\/249. Do 0 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in 0.4, -0.6, 73, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -0.08 (c) -2596\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {u: 5, f: 2, i: 1, m: 1, b: 7, j: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 973158338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 8. Let s be (-3)\/(-30) + 3905\/(-550) - -10. Solve -p*x + 3*n + 0*n - 17 = 0, 2*x = -s*n - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 582560564*x + 413519958?\nAnswer: 582560564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {x: 1, j: 1, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -968714?\nAnswer: 968713.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 79356700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 + 29 = -s, 2*q = -5*s + 7. Suppose q*d - 4 = -16. Let y be 12\/(-9) - d - 0. Sort -0.5, y, -4.\nAnswer: -4, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Let y(g) = -74*g**2 - 46*g - 88. Calculate y(f(w)).\nAnswer: -1184*w**2 + 184*w - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 461*h - 508*h + 282 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/20*255\/153\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/30 + 7\/(-3). Let j = -0.3375 - -0.0375. What is the closest to 0 in -0.5, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*y = -65, 2*y = 82*m - 79*m - 24 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -197 (base 10) to base 16.\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3)*(q + 3*q - 7*q)*(-5 + 1 + 6).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -960, -1859, -2754, -3645, -4532, -5415?\nAnswer: -6294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzkzzz. Give prob of sequence kz.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38829 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (-2 - -3 - 0). Let u be v + (-2 + 8)\/3. Suppose 3*q - 212 = -2*h, -4*q + h + 283 = 4*h. What is the greatest common factor of u and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (236\/10)\/(-59) - (-2 - 51\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*p + 885 - 54*p - 49*p - 15*p**3 + 5748.\nAnswer: -15*p**3 + 6633","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 348*l + 3*l**2 + 5 - 348*l as u*l + w*l**2 + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/1*(-10)\/1920*16?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -67. Let m = 35.99999876 + p. What is m rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**6\/120 - w**3\/3 - 5. Let r(s) be the third derivative of o(s). Let k(q) = -2*q**2. Determine r(k(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26437 = 35*k - 27988. Let z = -1034 + k. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/7*((-8)\/6)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 + 1165*d**4 - 13500*d**3 + 53360*d**2 - 70720*d.\nAnswer: -5*d*(d - 221)*(d - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45768799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144500536 - -1?\nAnswer: 144500540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/3)\/((d\/((d\/d**(4\/9))\/d))\/d*d)*(d**2)**(-5\/2) assuming d is positive.\nAnswer: d**(-73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {i: 3, h: 2, u: 4, a: 2, c: 6, n: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-11) + 136\/22. Let k = 15 - y. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/6 + 2985*s**3\/2 - 8953*s**2\/2 + 26857*s\/6 - 1492.\nAnswer: -(s - 8952)*(s - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -763916 * -2\nAnswer: 1527832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 + 7*w**2 - 2. Let p(r) = -r**3 - 3*r**2 + 1. Let f(x) = 2*j(x) + 5*p(x). Calculate f(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -492080 rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 0*n - 2*n + (-1 - 4 + 3)*(-n + 2*n - 4*n) + 0*n + n - 2*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 315\/126*2\/10. What is the closest to c in 6, -3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*j = -264, -w - j = -3*w + 130. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 - 4*m**4 - 3*m**4 + (-6*m + m + 2*m)*(-2*m**3 + 63 + 42*m - 72 - 37*m).\nAnswer: 2*m**4 - 15*m**2 + 27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -717 + 720. Find the third derivative of 58*f**5 - 4*f**5 + 30*f**3 - 5 + 33*f**3 + 57*f**2 - 66*f**j + 3 wrt f.\nAnswer: 3240*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 381, 579, 1019, 1821, 3105, 4991?\n\"Answer: 20*b**3 + b**2 + 55*b + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 424791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3\/8 - 3180*j**2 - 201984*j = 0. Calculate j.\nAnswer: -8416, -64, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*d, 2*b - 2*d + 0*d = 4. Suppose b*l = -3*t + 35186, -l + 2*l - 5*t - 8785 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3\/4, -37, 0.3, -2 in descending order.\nAnswer: 20, 3\/4, 0.3, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/75 + -16\/25. What is the closest to 0.4 in m, 1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9)*(1 - 7). Suppose -3*o + 286 = z*g + 54, o = 5*g + 109. Does 28 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -89.29\nAnswer: 85.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {o: 1, i: 2, l: 1, r: 2, h: 1, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 166976019.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -23*x**3 + 466*x**2 + 20*x. Let i(d) = -10*d**3 + 233*d**2 + 9*d. What is 7*i(o) - 3*p(o)?\nAnswer: -o**3 + 233*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:22 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/23*1*(-1)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/17)\/(j*j**(-27)))\/(j**(-5))**0 assuming j is positive.\nAnswer: j**(443\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242 + 245. Solve 2 = p*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 717*b - 5663. Let f be z(8). Solve -16*n + f*n = -456 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7651 divided by -1.\nAnswer: 7651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 17*f - 48. Let y(x) = -x**3 + 6*x**2 + 2*x - 10. Calculate y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6179415.\nAnswer: 3, 5, 11, 17, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426481 (base 11) to base 15.\nAnswer: -d714a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -16 (c) 1\/4 (d) 0.5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*s + 266*s - 144*s - 67*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.841958cm?\nAnswer: 38419580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4144)\/(-20))\/((-18)\/(-90)) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Let s(r) = r**3 - 9*r**2 + 9*r - 4. Let j be s(8). Let k be ((-3)\/j)\/((-17)\/68). Are k and h unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3 + sqrt(17) + sqrt(68)\/sqrt(4) - sqrt(119)\/(-4*sqrt(7))) + (1 + sqrt(17) + 1 - ((0 + sqrt(68) - sqrt(68)) + sqrt(68))))**2.\nAnswer: 5*sqrt(17) + 489\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12139 divided by 1258?\nAnswer: 12139\/1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = r + 11, 28 = -2*r - 2*r + 4*v. Suppose -h = 2*w - 5, 3*w - 4117*h + 9 = -4113*h. Sort -39, r, -1, w in descending order.\nAnswer: w, -1, r, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 934 - 650 = 0. Calculate the remainder when k is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23381360?\nAnswer: 2, 5, 292267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**2 + 4. Let w(k) be the first derivative of -1\/3*k**3 + 0*k**2 + 2 + 0*k. Give q(w(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 78713*b - 1023437. What is x(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239 - -240. Which is the nearest to 2\/7? (a) t (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*w, -3*v + 3*w + 14 = -2*w. Let g(z) = 5*z - 1. Let r be g(1). Suppose r = -4*y + 12. Put 4, v, y in decreasing order.\nAnswer: 4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*w = -3, 5*w + 60 = 4*z + z. What is the remainder when 35 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 5*l = 9*z + 8, 2*z = 2*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 9:37 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(2057) + -2) + 1)*-3 + (2 + sqrt(2057))*-1 + sqrt(2057)*3 + -3 + sqrt(2057))**2.\nAnswer: -5808*sqrt(17) + 296692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, -4 in descending order.\nAnswer: 18, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l - 1 - 3*l)*(31494 - 31494 - 134*l).\nAnswer: 268*l**2 + 134*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25160 by 34.\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 14*r - 1. Does 11 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:30 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 7*z**2 + 6*z - 2. Let l be 5\/((3\/(-6))\/((-2)\/(-4))). Give n(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1291955153*o**4 - 478497283*o**2 wrt o.\nAnswer: -31006923672*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-30)*f))\/f**14 assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + -7. Let n be (s\/15)\/((-2)\/(-39)). Is -27 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31821.1 rounded to the nearest 100?\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, 2\/3, 266.7, -330.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -422, -200 in decreasing order.\nAnswer: 2, -5, -200, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8625 is divided by 45.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 6 = -5*i. Suppose 5*z - i = 7. Solve -4*c - 4*p + 3 + 5 = 0, -4 = -5*c - z*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.02 - 11.04. Let f = d - -0.06. Let v = f + 24.99999961. What is v rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 643.6\nAnswer: 7079.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + 5. Suppose 2*i - i - 15 = -2*o, -3*o + 2*i = -26. Calculate the highest common factor of o and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292370747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 281\/3. Factor 1\/3*z**2 + 0 + 8\/3*z**3 + p*z**4 - 2\/3*z.\nAnswer: z*(z + 1)**2*(5*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 2*f - 704. Suppose -3*s + 32 + 64 = 0. Calculate the remainder when s is divided by (2\/(-4))\/(8\/f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/9)\/((-50)\/150) + (-50)\/30. Sort y, 10, 77 in decreasing order.\nAnswer: 77, 10, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185892319 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1708 and 38\/119987.\nAnswer: 479948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00499300351 to five dps.\nAnswer: 0.00499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1107*v - 727*v + 333 - 850*v - 333 to w + l*v and give l.\nAnswer: -2684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1.313397?\nAnswer: 6.566985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 4*y + 0*y)*(2*y + y + y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 41*l**2 + 44*l + 83. Determine o(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 39 = 2*a - 5*k, a + 5*k = 3. Suppose 0 = 6*n - 9*n + a. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -78. Let x = m + -56.8. Let l = -10 - x. What is l rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:55 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-327)\/30*(-15)\/10. Let g = l - 253\/20. What is the common denominator of 3\/2 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13262 and 4160080.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2359002.\nAnswer: 2, 3, 19, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355266 is divided by 3801?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4136 and 30080.\nAnswer: 330880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/5)*s**(-9) assuming s is positive.\nAnswer: s**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 326524.\nAnswer: 1\/81631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200001200112 - 11?\nAnswer: -200001200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/(2*(-6)\/360). What is the remainder when 164 is divided by 35*((-4)\/w + (-60)\/(-150))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + p - 4 + 9.\nAnswer: 5*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7 + 2*a**2 - 2*a - a**2 + a. List the prime factors of o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-1890)\/80))\/((88\/77)\/(-8))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 303 times 2.1483\nAnswer: 650.9349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5 - 1. Suppose -5*u + 50 = 5*z + 260, 4*u - 3*z + 182 = 0. What is the units digit of (0 + u)\/a - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11787, -47246, -106353, -189114, -295535?\nAnswer: -425622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15*(92\/(-6) + -4). Let n = 483 + s. Suppose -726 = -w - n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 228*k**2. Let r(m) = 3*m**2. Determine g(r(x)).\nAnswer: 2052*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (9 + (1 - 3)). Let g = 4 + p. Let h(f) = -f**3 + 8*f**2 + 15*f - 50. Let b be h(9). Solve 2*o + s - 9 = g, -b*o = -0*s - 4*s - 24 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 519, 513, 505, 495, 483?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.5 + 3.6. Let a = h - 4.1. Let w be (-1 + (-27)\/(-21))\/(-1). What is the biggest value in w, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t. Let g(q) = -119*q. Let v = 89 + -54. Let l(r) = v*h(r) - 3*g(r). Let x(p) be the third derivative of p**5\/30 - 33*p**2. Give x(l(i)).\nAnswer: 98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -163, 0.2 in descending order.\nAnswer: 0.2, -43, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 237992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let b(y) = 166*y**2. Determine m(b(z)).\nAnswer: 332*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -327481*t**5 + 7235746*t?\nAnswer: -6549620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4484979 weeks in microseconds?\nAnswer: 271251529920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 23 = 3*f, 0 = f - 2*f + 4*o + 10 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4318729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 - 10\/(-4). Suppose 5*a + 10 = 2*a + n*c, 3*a - 5 = -c. Solve -z = -a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*k - 4, 2*v - 5 = -k + 6*k. Let o = 0.3 - 0.4. Which is the closest to o? (a) v (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12613 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6 - 48. Let v be (-5)\/(-4) - l\/28. What is the units digit of (v - 3\/3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*g**2 + 4 - 141*g**2 + 0*g + 178*g**4 + 5*g - 4*g as q + p*g**4 + c*g**2 + m*g**3 + v*g and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 9:19 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l + 14. What is r(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 23*c**2 - 26*c + 60. Let v be q(24). Suppose 2 = -5*w + v. Solve -4*l - 2 = -w*t, 0 = -0*l + 5*l - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-108)*8*(-9)\/42?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8363 and 497.7.\nAnswer: -7865.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 7021.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h = -887*h - 14*h - 22129 + 64294 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -254*t**4 + 3*t**2 - 42*t wrt t?\nAnswer: -6096*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*w + 6 + 10, 0 = 3*w + t - 4. Suppose 4*a + 7 = -0*a - 5*k, -a - 7 = 3*k. Solve -a*h + w = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdd when three letters picked without replacement from {s: 2, a: 2, k: 3, d: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28935 * 0.3\nAnswer: -8680.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.111653 rounded to 1 dp?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**6\/720 + t**4\/8 + 3*t**2. Let x(a) be the second derivative of p(a). Let z(i) = i. What is x(z(g))?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 4. What is the remainder when ((-1)\/2*11)\/((249\/(-72))\/83) is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*g + 45*g = -55*g - 117 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**3 + 19*t**2 + 23*t - 6. Let p(y) = -11*y**3 - 38*y**2 - 47*y + 13. Let o(m) = -13*g(m) - 6*p(m). What are the prime factors of o(20)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 - 15*u + 17. Let y(c) = -13*c**2 - 30*c + 38. Determine -9*m(a) + 4*y(a).\nAnswer: 2*a**2 + 15*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 14 + -2 + -1. Suppose -5*j = -2*r - 0 - x, 2*j = -3*r + 1. Solve j*n + 2 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21) + 64\/28. Let b(s) = -6*s**3 + 5*s**y + 5 + 6*s - 5*s + s + 5*s**3. What is the tens digit of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/5 + 132*q**2\/5 - 3996*q\/5 - 8528\/5 = 0. What is q?\nAnswer: -2, 52, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 24 + 26. Suppose 0*o + t = 5*o. Suppose -4*n + 74 = o*c, 0*n - 54 = -4*n + 5*c. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1.9, 2\/7, -4\/11, 5 in decreasing order.\nAnswer: 5, 2\/7, -4\/11, -1, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:45 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(425) - ((-2 + sqrt(425))*1 - sqrt(425)))**2.\nAnswer: 300*sqrt(17) + 95629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7208 - -7203. What is the nearest to 0.1 in 0.088, -2\/11, d, 1?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -606 + 607. Solve -2*z + 13 = -g, 0 = -4*g + 4*z + t - 33 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000151 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 8*b + 2. Let j be k(-8). Let u(c) = 2*c**2 - 6*c. Let n be u(4). Let z = -5 - -10. Solve z*y + j = -n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/3, 901, 836, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-324)\/(-6615))\/(24\/56))\/((-154)\/(-35))?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 3*n + 4205*y - 4210*y + 56 = 0, 4*n - 18 = -y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbx when three letters picked without replacement from xxxbxfxfoxfxxxf?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1, -2, -3 in descending order.\nAnswer: 25, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 23*u - 252. Calculate the lowest common multiple of 14 and y(7).\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 + -0.11. Let x = 1 - 1. Let l be (-6 - -3)*(x - 1). Which is the third smallest value? (a) -1\/4 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*o**2 - 3*o**3 + 156*o**2 + 0*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwwwwwwwwdww. What is prob of sequence wd?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 20*k**2 - 2*k. Let y(q) = 58616*q. Calculate y(o(c)).\nAnswer: 1172320*c**2 - 117232*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100101 - 10000100001000?\nAnswer: -10001010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0776168*2.1\nAnswer: -0.16299528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 3*j**6\/40 - 11*j**3\/6 - 19*j**2. Differentiate u(c) wrt c.\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0 (c) 0.02 (d) -0.13 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4) + -5)**2.\nAnswer: -20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 43. Calculate the remainder when 62 is divided by 1026\/81 - ((-4)\/3 - f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1812\/(-1140) - 56\/(-280).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (-5)\/(5\/4). Solve 0 = -v*t - t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = 1. Let v = -2 - -6. Suppose x*d + 3*f - 2*f = 9, -d = -v*f + 15. Solve -d = -2*r - q, -2*q - 6 = -r - 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 + 1681*v**2 - 1136*v - 7871. Calculate b(-561).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -18*a**2 - 1 + 36*a**2 - 24*a**2 - a**3 + 8*a. Let u be -4 - 6\/(3 + -1). Determine v(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02732503 rounded to four decimal places?\nAnswer: -0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1178*d**2 - 4*d + 4. Let q be o(1). Suppose 3*u - 3*m + 897 = 0, 4*u + 5*m + q = -0*u. List the prime factors of u\/((-6)\/2)*(4 - 3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 + 10 - 27*o**3 - 5 wrt o.\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - -2 - (0 - (-1636)\/(-372)). Let k = t - 2\/31. Which is the nearest to -0.1? (a) -0.1 (b) 2\/17 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 96171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -3087932973186\nAnswer: -3087932973200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in nine tenths of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6324193 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*z = 271*z + 51 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2356 + 2?\nAnswer: 2358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 20*i + 8. Let t(f) = -f**3 + 7 + 8220*f**2 - 4125*f**2 - 4095*f**2 + 20*f. Determine -5*r(w) + 6*t(w).\nAnswer: -w**3 + 20*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -3, 3, -49\/706, -9\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000886647 rounded to seven dps?\nAnswer: -0.0000887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*23181.7.\nAnswer: -115908.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(8\/(-10))*1096\/8220.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370 and 10179662?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 - 39*s**2 - 259*s + 46. Give r(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27677.\nAnswer: 13, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 13 = -1. Calculate the remainder when 32 is divided by d\/18 - 97\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:44 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3004.9329 to the nearest integer.\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 - 7 = 9*m. Suppose -m = -0*v - 5*v. Solve -5*b + v*b = -8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/9, -0.05, -1, 60?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1542, -3074, -4606, -6138, -7670, -9202?\nAnswer: -10734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6766 - 6765.9. Let l = -2 - -1.8. What is the fourth biggest value in -2, d, 1, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -127079 - -16?\nAnswer: -127063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31536654 - 45*z**3 - 44*z**3 + 31536654.\nAnswer: -89*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/24*(1156\/5202)\/(10*(-1)\/(-6)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 783126 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*x + 2 = 0. Let g be x - -2*6 - -2. Suppose -o - i = 0, 8*o - 4*o - 2*i + g = 0. Which is the second smallest value? (a) o (b) 3\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 19. Let r be c(1). Let p(o) = -o**3 - 21*o**2 - 19*o + 37. What is p(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 566, 575, 584?\n\"Answer: 9*x + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 2:58 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/5 - 73914*p**3\/5 - 682355232*p**2\/5 + 2050393176*p = 0. What is p?\nAnswer: -18486, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -178*c + 2043. Calculate j(9).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let i be b(6). Let w be (-5)\/(-10) - i\/(-4). Suppose g - w*g = -4. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22793671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-5))\/3)\/(378\/945).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/42)\/((-4)\/(-309)) and -33\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (17 + 0 - (1 - 0)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*j + j - j)*(-3 + 1 + 1) + (-1 - 9 + 1)*(2*j + 2 - 2))*(-5 - j + 5).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041.\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 2013331203023?\nAnswer: -2013331203011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -368403*q + 368439*q - 468 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -85, -330, -739, -1312, -2049, -2950?\n\"Answer: -82*f**2 + f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -11*p + 7*p - 44155, 0 = 5*a - 4*p - 220727. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.052 + -0.1. Round g to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3014, 2836, 2670, 2516?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 3*z + 17*j - 22*j + 8, j + 7 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2023 (base 5) to base 12.\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 159*v - 942. Determine s(6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 2*r**7\/105 + 7*r**6\/15 - 16*r**5\/15 - 7*r**4\/3 + 10*r**3 + 333*r**2. Factor i(s).\nAnswer: 4*(s - 1)**2*(s + 1)*(s + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/36)\/((-8)\/2 + 2). Let f(v) = -v**3 - 6*v**2 - v - 4. Let h be f(-6). Which is the biggest value? (a) -0.5 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - 7) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j - 3. Let d be i(2). Let x = -10 + 3. Let p = x + d. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3409*g + 4203. What is the units digit of c(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53014490 divided by -5\nAnswer: 10602898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n. Suppose 42*k = 64*k - 242. Suppose n = -k*v - 1381 + 226. Round v to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -94. Which is the biggest value? (a) z (b) 5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -88c0?\nAnswer: -88c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c*c*c*c*c**(-1))\/c)\/c)**(3\/13))**(2\/41)\/(((((c*c**(-1))\/c)\/c)\/c*c\/(c**0\/c))\/(c*c**(2\/7)*c*c*c*c**6)) assuming c is positive.\nAnswer: c**(42191\/3731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 28. Suppose -9*b = -w*b - 42. Suppose -2*m + b*m - 40 = 0. Sort m, -5, 4 in decreasing order.\nAnswer: m, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/69012 and 113\/291384.\nAnswer: 2622456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-43 - (-15 - -6))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 28*m**2. Let b(n) be the second derivative of -n**4\/6 - 20*n. Calculate h(b(x)).\nAnswer: 112*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 621498.7 millennia in months?\nAnswer: 7457984400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:57 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 2:13 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1193*a**3 - 7*a**2 + 12*a + 14. Let f(g) = -398*g**3 + 2*g**2 - 4*g - 4. Let l(o) = -2*c(o) - 7*f(o). What is the second derivative of l(p) wrt p?\nAnswer: 2400*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30760 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 14 (b) 2.11 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -22842*o + 2444146. Calculate l(107).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - b**2 + 12*b**2 - 2*b**2 - 6*b**2 - 7*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -1 - (2 - 3). Suppose 0 = 4*j + j - 10. Let q(a) = -a**3 + 3*a**2 - 2*a. Let u be q(j). Is u at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1108.957 to 1 decimal place.\nAnswer: -1109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/267 and 119\/18.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**3 - 100*u**2 - 304*u - 128.\nAnswer: -4*(u + 4)*(u + 8)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 3. Let v(f) = -2*f + 3. Let k be v(2). Let p be k\/2*2*-1. Let c be (-1)\/(p + 1)*4. Give u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}