{"text":"Question: How many grams are there in 84.51504 milligrams?\nAnswer: 0.08451504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 129313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -9*z**2 - 1280*z - 16387. What is k(-128)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 65 (base 12) in base 14?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 36\/105*(-1425)\/(-60). Let 3\/7*x**2 - 60\/7 - t*x = 0. Calculate x.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 167 + -165. Let h = -163 + 807\/5. Which is the fourth biggest value? (a) -1 (b) h (c) x (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 4*p - 105. Let a be q(27). Let t = -0.6 - -0.3. What is the nearest to 2 in -2, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(-44) + (-76)\/(-209).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w = 2*w - 7*w. Put -4, -15, w in decreasing order.\nAnswer: w, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 5 + 3)*(3*w**5 - 2*w + 2*w) - 13*w**2 + 13*w**2 - 5*w**5.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 249 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 62.1 - 62. Let o = -0.6 + -0.4. Which is the third biggest value? (a) -2\/11 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 - (-8 + 10)) + (-15 - -25 - (-47 - -4)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16 - 9 - 17) + 4 + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + 56 - 103 + 52)*(-6 + 2 + 3).\nAnswer: 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange l + l - 2898 + 2475 - 2*l - 5*l**2 to the form o + z*l**2 + j*l and give o.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1395 and 37495?\nAnswer: 10461105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*p + 2492 = 3788 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (31*y**2 - 98*y**2 + 42*y**2)*(3 + 0 - 1 + 2*y) as l*y**2 + u + m*y**3 + p*y and give m.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 436399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1122510378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 13366 and 16463?\nAnswer: 1349966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-486)\/(-14) - -8*2\/56. Factor 1130*y + 206 + 18 + 35 + z*y**2 - 1 + 62.\nAnswer: 5*(y + 32)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30 - (-3276)\/(-112) - ((-11537)\/4 - 2) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*a + 4*a + 6577 - 6577.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of 1 and -1411782.\nAnswer: -1411781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 5 = -5*k. Suppose 2*q + 0 + 2 = 0, 5*q + 11 = 3*a. Let f = 13 - a. Solve -2 = -k*g - 3*w + f, 0 = w - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/3 (b) -0.4 (c) -1\/36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 228 and 74212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2*((-759)\/77 + 10). Suppose 3 = 2*j + 1. Let w = 1 + j. What is the second biggest value in 1\/2, h, w, -1.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**2 + 7*r + 7. What is w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + p = -105. Let m = p + 523\/15. Let v(j) = -j**2 + 4*j - 2. Let u be v(3). Does m = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 108392582?\nAnswer: 2, 79, 686029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3521 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 251005 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/(-14))\/(15\/1785*17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10720*u + 5*q - 31 = 10713*u, -4*q = 5*u - 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 1004 = -9*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f - 7. Let l(g) = 4*g + 20. Let c(m) = -4*l(m) - 11*o(m). Let r(j) = -6*j - 2. Give 2*c(y) - 3*r(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*w = 7*w - 175 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be -26 + 16 + (-3 - (-21)\/2). Let m = 0.4 - 0.3. Let t = -0.1 - m. Put t, 0.3, o in increasing order.\nAnswer: o, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-16)\/4)\/(4 + (-1567972)\/391986) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from hsshhssilyhhll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**3 + 27*b**2 - 546*b + 1394. What is q(-41)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of o**7\/2520 - o**6\/80 - o**5\/15 + 83*o**4\/12 + 23*o. Let n(v) be the third derivative of q(v). Calculate n(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 2*o**3 - 19*o**2 + 18*o + 19. What is the hundreds digit of y(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**7*b*b\/(b\/(b**2*b))*b)**(1\/20)*(b*(b\/b**(-2\/19))\/b*b)\/b**(-3\/2)*(b*((b\/(b\/b**(1\/2))*b)\/b*b)\/b*b*b)\/b*b**(-1\/6) assuming b is positive.\nAnswer: b**(6713\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, j: 1, e: 1, v: 2}. Give prob of sequence vje.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 28*u - 400 = -32*u, -4*m + 1583 = -u. Calculate the greatest common divisor of 36 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 34 * -10774.\nAnswer: -366316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -86 = 4*x - 14*q, -41*x = -44*x + 5*q - 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/12*-2)\/(32\/384).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 309020 is divided by 1092?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 4*p = 2*i + 35, 5*i + 50 = -5*p. Let j be i\/25 + (-24)\/10 + 38. Let u = 60 - j. Calculate the remainder when 95 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**3 + 6*h**2 - 6*h. Suppose -3*n + 8*n = 0. Suppose n*c + 11 = 3*q + c, c - 16 = -4*q. Determine w(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l + 6 = 2093*i - 2092*i, -14 = -5*i + l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 717 - 7?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/10 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 351, 0.5, 5\/8?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 108033*h - 107942*h - 273, -d = 4*h - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 3*b**3 - 11*b + 6. Suppose 33 = 6*s - 3*s. Let i(g) be the first derivative of g**4\/4 - 2*g**2 + 2*g - 1. Determine s*i(h) - 4*n(h).\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7159 + 7368. Solve -179 = -10*g - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.02, 0.28, -2, 0.077?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.02 + -4.98. Let g = a + 3. Let d = 435843\/4 - 108961. Put g, d, -4 in decreasing order.\nAnswer: d, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -106360170 divided by -3?\nAnswer: 35453390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 230\/9? (a) -3 (b) -388 (c) -1\/7 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 2*o**3 - 275*o**2 + 155*o - 1145. Give p(137).\nAnswer: 1321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 4*n - 6. Suppose 4*h - n*h = -8. Suppose -h*z + 6 = -3*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the first derivative of 535*w**3 + 120 + 185\/4*w**4 - 3610*w + w**5 - 2185\/2*w**2. Find t, given that q(t) = 0.\nAnswer: -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25, -124, -289, -520, -817, -1180?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 25 = 0, -4*p + 4*d = d + 7. Solve -4*b = 2*z + 12, p*b + 2*z - 2 = -z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -21a86 - 0?\nAnswer: -21a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 = -t + 5*t. Suppose 3 = -2*v + t. Suppose -4*o + v*l = -20, 0 = -5*o - 2*l + 36 + 10. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -842024.1 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 167282461?\nAnswer: 71, 2356091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of -j**4\/24 + j**3\/6 + 329*j**2. Let z(b) = 10*b - 4. Let h(o) = -29*o + 12. Let g(q) = -4*h(q) - 11*z(q). Give g(d) + 5*y(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6\/289? (a) -1\/3 (b) 0.1 (c) -1189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.1, 0.5, 0.2, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -2483*r**3 - 8*r - 6. Let m(p) = -2481*p**3 - 9*p - 7. Determine 6*m(f) - 7*x(f).\nAnswer: 2495*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 3*k**5 + 24*k**4 + 48*k**3 - 54*k**2 - 243*k - 162 = 0. What is k?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.4, 43, 5\/4, 0.1, -5\/3, -2\/85?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/12*4\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c and 1 x when four letters picked without replacement from {m: 2, x: 2, c: 4, w: 3, a: 6}.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-23)\/(s**(-6\/13)\/s)*((s\/(s\/(((s*s**(-2\/37))\/s*s*s*s*s)\/s))*s)\/s)**43 assuming s is positive.\nAnswer: s**(50571\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 1974 by 94.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 51362088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 - -8. Suppose -i - 11 = -3*k. Let a(f) = -f**3 - 22*f**2 + f + 24. Let v be a(-22). Solve -5*l = k*u - 30, -14 = -4*u + v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from glljwlllylllgwll?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-66 - -5) + 3 + -1 + (9 - 3 - 5).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.236 + 62.4416?\nAnswer: 62.2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**2 + 48*o - 26. List the prime factors of k(8).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -21 (base 15) to base 10\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 4\/15*(0 - 10\/(-12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p = -q + 13, 4*p + 1 = 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:15 AM and 5:39 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 + 4*q**2 - 19*q - 33. Let d be w(-6). What is the highest common divisor of d and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2760671028?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 50889 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8 and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 2 - 6*t + t**3 + t**2 + 4*t - 1. Suppose -5*s + 4*c = -56 + 21, 0 = -5*s - 2*c + 5. Suppose s + 1 = -2*k. What is u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -16*m**2. Let p(i) be the first derivative of 0*i**2 + 57 + 11\/3*i**3 + 0*i. Give p(o(d)).\nAnswer: 2816*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -19768, 5, 4, 1 in increasing order.\nAnswer: -19768, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 897 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.587 + -441.587. Let p = -441.0606 - a. What is p rounded to three decimal places?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 41 - 41. Solve 2*r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 5585661*p**2 - 4 + 7.\nAnswer: -5585661*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the first derivative of 2*x**3\/3 - 15. Let t(l) = 28*l**2. Give t(w(z)).\nAnswer: 112*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31 - (-26 - -34) - -15 - 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s. Let t(x) = -x**2 - 5*x + 3. Let k be t(-5). Let i(q) = -k*q + 6*q + 3*q. Determine i(f(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from rdrrdrrrrrrddrrdrr.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-18)*(9\/(-5))\/((-4)\/((-6720)\/(-36))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 2*v - 3. Let b(y) = -12*y + 18. Let d(k) = -6*b(k) - 34*j(k). List the prime factors of d(7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 42 - 24. Let n be (2\/(-4))\/(2\/(-4)). What is the remainder when n\/(-3) - (-924)\/18 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/3, 2\/29, -159?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 187ad2 (base 16) to base 15\nAnswer: 21a53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from ggxjxxcxbxkxxckcc.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 + 3. Find the third derivative of -r*l**5 + l**5 - l**2 + 0*l**5 + 0*l**2 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*n - 10*n = -35255. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -7 (c) 3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 51264163 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 + -1. Let t = u + 0.1. Let f = 0.736 - -0.264. Which is the nearest to -5? (a) t (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (141 - 147) + (0 - -19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -51.14 to 0 decimal places.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the first derivative of q**3\/3 - 3*q**2\/2 - 10*q + 41. Find o, given that i(o) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p, 1 x, and 1 h when three letters picked without replacement from xhpmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*n + 6264 = 7*n. Let v be (-4)\/10 + n\/(-20). Suppose -v = -3*x + 40. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 14\/(-5)*(-10)\/4. List the prime factors of (1 - 1) + h*2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -59, -122, -187, -254, -323, -394, -467?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, h: 1, b: 1, w: 1, g: 1}. Give prob of sequence whby.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-21)\/(-9) + -3 - (-132)\/36. Let l(r) = 7*r**2 - 2*r - 2. Let h(u) = -u**2 + u. What is c*h(p) + l(p)?\nAnswer: 4*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 41 - 17. Suppose 3*w = w - 4*s + d, 2*s = 5*w. Suppose 76 = 3*o + n, -o = 2*o + w*n - 77. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*v**5 + 49084*v**4 - 294558*v**3 + 441856*v**2 - 196384*v = 0. Calculate v.\nAnswer: -24548, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002368468 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the third derivative of -49*a**4\/24 + 13*a**3\/6 + 23*a**2. What is the hundreds digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 4*i**2 - 14*i - 6. Suppose 527 - 67 = 79*q - 93. Let t(k) = -5*k**2 + 13*k + 7. Calculate q*b(m) + 6*t(m).\nAnswer: -2*m**2 - 20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the first derivative of t**3\/4 - 3*t + 14. Factor n(r).\nAnswer: 3*(r - 2)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.94416926 and -0.2.\nAnswer: -1.14416926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10.1? (a) -0.2 (b) -2\/19 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/167504 and 65\/2888.\nAnswer: 167504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 - 40053?\nAnswer: -40101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 21 + (25 - (6 - -13)) + (4 - 1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -990*u**3 - 57*u**2 + 25*u - 11. Let r(z) = -198*z**3 - 11*z**2 + 5*z - 2. Let n(f) = -2*b(f) + 11*r(f). Find the third derivative of n(l) wrt l.\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -92197, -184446, -276749, -369106, -461517, -553982?\nAnswer: -646501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14*q**2 + 2*q**6 - 15*q**2 - 6*q**6 wrt q.\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 161\/159 - (16 - 15). Let c = q - 16445\/5406. What is the common denominator of -15\/8 and c?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -30.4, 5.1, 3\/8?\nAnswer: -30.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**1\/l**(-2\/3)*(l**(-2\/7)*l)**33)\/((l**(2\/7))**49)**23 assuming l is positive.\nAnswer: l**(-6232\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -4*c**3 + c**2 + 2. Let q be k(-3). Let h be (-68)\/q - 32\/(-7). Does 27 divide 1\/h + (-7550)\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -17*m + 3. Let i be j(-3). Suppose -3*z + 2*t = -z - 36, -i = -4*z - 5*t. Suppose z = k - 2. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/9071180 and 6.\nAnswer: 9071180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.01 + -0.1. Let l = i - 0.01. What is the third biggest value in 1, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 39 = -2*d - 0*f, f + 5 = 0. Solve -4*o - 12 = -4*n - 0*n, 4*o - d = -4*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -264.\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Do 0.5 and -868 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -48*q**2 + 0 + 0 - 127*q**2 - 52*q**2 to n + m*q**2 + y*q and give m.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 25073806*y**3 + 21048338*y + 2.\nAnswer: 150442836*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4624 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/(-9)*(3 - (-63)\/(-24)). What is the smallest value in m, 16, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) -1\/8 (c) 0.5 (d) 126\/19 (e) -5\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - o = -385 - 373, -4*t = 5*o + 589. Let j = 29 - t. Does 4 divide (1\/(-1))\/((-12)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1331)*1 + -4)*-6*4.\nAnswer: -264*sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -56143 + -461.\nAnswer: -56604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 - 6*f**2 - f - 9. Let s be h(-8). Suppose k - 2*k + s = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(1377) + 0 - sqrt(1377))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-66)\/(-220)*(28\/60)\/(-7)*2.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, 0, 17\/350, 1, 6?\nAnswer: 17\/350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.3, -169, -5, 248, 5, -2?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -34469\/24 < -1435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 7, 38, 127, 304, 599, 1042, 1663?\n\"Answer: 5*o**3 - o**2 - o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 170 and 76857.\nAnswer: 768570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -16*y + 10. Let m = 30 + -35. Is u(m) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the second derivative of -65*m**7\/42 + 7*m**3 + 104*m. What is the second derivative of r(g) wrt g?\nAnswer: -1300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 91456179 divided by -3.\nAnswer: -30485393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 717483 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 8) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 0 = -v, 4*v - 57 = -m. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 330\/4 - (-5 - -3)*18\/72. Solve -4*x = 2*s - 4, -5*s + 81 = 4*x + a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 + 3 + 60\/4 + -1. Let m be (1 - -1)\/1 - 6. Sort z, -1, m in decreasing order.\nAnswer: z, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 94, 446, 974, 1678, 2558, 3614?\nAnswer: 4846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3bb04 - -2?\nAnswer: -3bb02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1202 - -1205. Let y(a) = 4*a**2 - 5*a - 5. Let g(n) = n**2 - n - 1. Determine u*y(i) - 15*g(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -2*q + w - 2, -5*q = -3*w + 30. Let s be (-7)\/2 + 2 + (-27)\/(-12). Sort -0.4, q, s, -19 in ascending order.\nAnswer: -19, q, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 323 - 47627?\nAnswer: -47304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 557 (base 16) to base 11\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -24 + (-1 - 5 - -13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 5*r**2. Let l(c) = 10*c**2 - 1 - 12*c**2 + 1. Calculate l(j(w)).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -2*v**5\/5 + 3146*v**4\/15 - 414442*v**3\/15 + 548054*v**2\/15 - 45584*v\/5 = 0.\nAnswer: 0, 1\/3, 1, 259, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7071479081?\nAnswer: 1129, 6263489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {g: 3, t: 2, m: 3, i: 1, b: 3, u: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3 + 3 + -1 - -3. Suppose -k*x + 3*x = 0. What is the second derivative of 4*g + 3*g**2 + x*g - 2*g wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.05? (a) -1.9 (b) 0.16 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -5*x**4 + 1305*x**3 - 42545*x**2 + 38655*x + 82510 = 0. Calculate x.\nAnswer: -1, 2, 37, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2190010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -31 - -84. Suppose 69 = 2*s - o. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 128 = 3*y - 217, -3*z = y - 115. Suppose y*v - 118*v + 1752 = 0. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 131.3 + -124. Let u = 7 - l. Let t = -0.08 - -0.38. Put 0, u, t in ascending order.\nAnswer: u, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -229 - -236. Let w(n) = -39*n**2 + n + j*n**3 - 1 + 18*n**2 + 22*n**2. Give w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-42875)\/(-98))\/(-25)*((-16)\/4 + 0).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3543290*v + 27214237 wrt v?\nAnswer: -3543290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 7 - 4. Suppose -4*i = -r*o - 4 + 1, 3*i = 3*o. What is the remainder when 4 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-8))\/(290\/(-116))*-3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3 + (14 + -12 - (-3 - -1)). What is the highest common divisor of s and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8029171*h**4 + 3*h**3 - 106240724*h**2 wrt h?\nAnswer: 192700104*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 173\/56310 and 19\/56310?\nAnswer: 56310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -5712598 divided by 5712598?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/(-6) + 220\/3. Suppose 58*j - 17*j = 0. Suppose 6*c - x - 167 = j. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 3*c**3 + 1018*c**2 + 86361*c + 28674 = 0.\nAnswer: -177, -162, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -139 + 183. Let x(f) = -25*f + u*f - 20*f. Let n(p) = -77*p**2 - 1. What is n(x(l))?\nAnswer: -77*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is the value of 56\/168*4\/10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = 4*u - 20, -5*u + 3*c + 18 - 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q - 282 = 24. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -3*s - 4. Let x be c(-3). Let f be 4\/(-10) + (-3)\/x. Let m = 268\/5 + -54. Which is bigger: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2689912 is divided by 82.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*(9\/(-3))\/(-3). Let p be 1 - (-2 + (i - -3)). Is 14 a factor of -1 + p - (-102)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -44*f - 9. Let y(k) = 500*k + 96. Let x(r) = 3*y(r) + 32*z(r). Let p(a) = 3*a**2 + 2. Give p(x(n)).\nAnswer: 25392*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*v + 286 = 337. Determine g, given that -3\/5*g**2 + 0 + 1\/5*g**4 + 0*g**v + 2\/5*g = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16176 is divided by 246.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of 2*v**3 + 2*v**2 + 4*v - 4. Let z(s) = s + 1. Let p(h) = x(h) - 4*z(h). Let t(n) = 2*n**2. Give t(p(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 5 + 8*x - 4*x - 5*x. Let b be 9\/12*(1 + -5). Let z be b*4\/(-3) + -1. Calculate f(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -191028297 divided by -1563?\nAnswer: 122219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -335, -638, -941, -1244, -1547?\nAnswer: -1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 49.18466761 rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38230468?\nAnswer: 2, 29, 67, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 65032?\nAnswer: 2, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -37717 + 60376. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 37 (base 8) to base 10\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from iiiaia.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4 - 2)*(-2)\/(-40). Let s = 1\/10 + h. Do 0 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -24*l**2 + 33*l**3 + 75*l - 16*l**3 + 0 - 6 - 11*l**3. Let t(v) = 5*v**3 - 26*v**2 + 75*v - 4. Let b(n) = -3*t(n) + 2*y(n). Solve b(j) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2543, -2547, -2557, -2573?\nAnswer: -2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven fifths of a litre?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: -248 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 83 + -73. Solve -p - 5 = 0, -4*p - 5 = -j*r + 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -3*w - 134. Let o = 54 - w. Calculate the remainder when o is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 11*y + 13*y + 2*y**3 + 4)*(3*y**2 - 3*y**2 + y**2).\nAnswer: 2*y**5 + 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**2 - f + 7. Let h be z(0). Let q = h + 3. Suppose 5*v = 6*v - q. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -2*l + 14. Suppose 11 = -5*t - 3*q, 2*t + 0*t + 2*q = -6. Let o be (6 - (-162)\/(-30))*5. Put o, l, t in decreasing order.\nAnswer: o, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1683 - -847. Suppose 2*f = 3*f + l. What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i. Let p(w) = 33*w**2 + 17504. Give p(c(h)).\nAnswer: 132*h**2 + 17504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -1 + 3 - (-11608 - -19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 7, h: 2, y: 3}. What is prob of sequence yh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 12349 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -0*z - 70. What is the common denominator of 10\/z - 430\/84 and -1\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 16*d. Let o be 3\/6 - (-1)\/2. Let q be l(o). Calculate the greatest common factor of 48 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 6*r**2. Let b(d) be the first derivative of d**5\/60 + 8*d**2 + 1. Let q(i) be the second derivative of b(i). What is q(p(c))?\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*d = -26*d + 1388. Let j = d + 556. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 114293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8 - -13. Let o(b) = -2*b - 8. Let i be o(-6). Suppose 6*p = i*p - 10. Sort -4, u, p in ascending order.\nAnswer: p, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 11825005 and -13482.\nAnswer: 11811523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 7*d - 11. Let v be m(5). Let r = 102 - 72. Suppose -4*a = -4*k + v, 5*k = -a - 2*a + r. Calculate the highest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + v - 1 + 1 + 3*v + (-2*v + 3*v - 2*v)*(1 + 3 - 2) - 12*v - 3 + 3.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101101010010 + -11101110?\nAnswer: -110001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 20563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -q = 4*h - 6 - 11, -12*h = -11*h - 28*q + 33*q - 28 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -35 - -1 - -45 - (-5 - 65 - -7)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1053)*-1)**2 + sqrt(1053))*-4.\nAnswer: -4212 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.0121 - 0.03971. Round b to three decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*q - 171 = 51 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14339*a**2 + 1631*a - 3 wrt a?\nAnswer: -28678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*u*u**(1\/3)*u*u*u)\/u**(-4\/5))\/(u*u*u**13*u**(-4\/11)))**(1\/5) assuming u is positive.\nAnswer: u**(-1403\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2)*-2 + 1 + 6*(sqrt(2) - sqrt(4)\/sqrt(2)))**2.\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 41500 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the third derivative of r**5\/60 - 19*r**4\/24 + 8*r**3\/3 - 7*r**2. Let d be t(15). Find the common denominator of (10\/15)\/(d\/(-6)) and 25\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the second derivative of w**7\/21 - 5*w**3\/3 - 7*w. What is the second derivative of i(g) wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 + -19. Let b = 11 + y. Let r = 3 - -1. Solve 3*j = 3*m - 12, 2*m - b*j = -r*j + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -69, 25, 20 in descending order.\nAnswer: 25, 20, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -f - 174. Let h = f - 521\/6. Which is the closest to h? (a) -5 (b) -2\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 138 and 1058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -618\/5 + 123. Let g = -2.2 - -0.2. What is the nearest to g in w, -2\/5, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11 + -8. Let u be -10*(1 - (-9)\/(-6)). Suppose -f + u*y = -11, -4*f - y - 7 = -9*f. Solve -a = -1, 3*a - f = m*i - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -63 - -78. Is (-78)\/a + 5 + (-10672)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*v**3 + 47*v - 47*v + 0*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than or equal to -2\/637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -27254050 - 4?\nAnswer: -27254054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8 and 3728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (39\/104)\/((-70)\/(-11200))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and -595302?\nAnswer: 238120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1600 - 1598. Which is the fourth biggest value? (a) -2\/9 (b) 5\/4 (c) y (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 7804887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -828*r - 1600 = -823*r. Let v = 329 + r. Let c(h) = -h + 2. What is c(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -1\/7, -6, 0.19, 11 in descending order.\nAnswer: 11, 0.5, 0.19, -1\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4640 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*h**3 + 10590*h**2 - 126135*h - 473850.\nAnswer: -5*(h - 2106)*(h - 15)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/1620 and 163\/90.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2*(-3 + -8 - -12). Let a be (-2)\/(-6) - (-18)\/27. Suppose 3 = -2*t - z, t - 3 + 1 = 3*z. Sort m, 0, a, t in descending order.\nAnswer: a, 0, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -3*a - 4*c, 32 = -3*a + 2*c - 3*c. Suppose 0 = -4*p + 78 + 6. What is the remainder when 1102\/18 - a\/(-54) is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**2 - 16*j - 17. Let v be l(14). Let g = v + 317\/7. Factor -12\/7*i + g*i**2 + 18\/7.\nAnswer: 2*(i - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 + 4552313?\nAnswer: 4552312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 25062\/7 - 3580. What is the fourth smallest value in a, -8, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -120112 (base 3) to base 10\nAnswer: -419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33358 and 3250?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j**3 + 10*j**2 - 2. Let y(g) = -2*g**3 + 1 - 11*g**2 + 4 - 2. Suppose 0 = 7*z + 579 - 565. Determine z*y(m) - 3*b(m).\nAnswer: m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 2*y = -246. Let k(z) = 158*z**3 + z**2 - 7*z + 7. Let n be k(1). Let s = n + y. Is 34 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 7, b: 2, f: 1, z: 3, q: 7}. Give prob of sequence ql.\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {l: 1, e: 3, c: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-1\/4))**41*(s\/s**5*s)\/(s\/(s\/(s\/s**(1\/10)))))\/((s*s**(1\/2))**(-44)*(s**(1\/3))**(-38)) assuming s is positive.\nAnswer: s**(3871\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-157)\/(-628))\/(3*(-5)\/(-1560))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 4*r + 24, -1 = 3*a - 2*r - 15. Let g be 5\/10 - 38\/a. Let o be ((-6)\/g)\/((-6)\/(-18)). Solve -5 - 3 = o*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (-153)\/(-36) - 11\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 94413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -41*m - 241. Let p be u(-6). Solve 5*s - 5*x + p = 0, -5*s + 2*x + 1 = 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddi when three letters picked without replacement from {d: 3, n: 2, i: 2, c: 1, g: 2, q: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*b - 22 = 32*b. Suppose -2*l + 11*a - 18 = 6*a, -2*l - 5*a = -b. What is the greatest common factor of 67 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -905, -18, 6, 5, -4, 1 in ascending order.\nAnswer: -905, -18, -4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5555\/(-1210) + 2\/15 - -5 and -161\/330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the third derivative of -u**6\/120 - u**5\/3 - 37*u**4\/12 + 4*u**3\/3 + 4327*u**2. Determine p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/98 in 0.3, 1\/8, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*c**2 - 23*c**2 + 6*c**2 + 2)*(-c + 2*c + 0*c).\nAnswer: -6*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -g**2\/4 - 116*g + 465\/4 = 0.\nAnswer: -465, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18086, 45431, 72776?\nAnswer: 100121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4\/767 + 122\/767. Which is the closest to z? (a) -1.6 (b) 4 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**3 - 27*m**2 - 6*m + 98. Calculate r(13).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9345103390 + -0.248.\nAnswer: -9345103390.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-6)\/9 + 4\/12*266 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -67 (c) 33\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes after 5:28 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 18100851 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of k**3\/3 - 1. Let b(u) = -2*u**2 + 2*u - 2. Let o(c) = -4*c**2 + 5*c - 5. Let t(w) = 5*b(w) - 2*o(w). Calculate t(l(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 13.7 to 1 decimal place.\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qcffffqffffsff. Give prob of picking 1 c and 2 q.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (39\/1014)\/((-293)\/(-586)*(2\/(-4))\/1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -116093, -116097, -116101, -116105, -116109, -116113?\n\"Answer: -4*j - 116089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5524261?\nAnswer: 5524261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 - 5*q + 2. Let s be w(3). Let o = s - 12. Solve -5*p - o*f = 10, -3*p - 6 = 6*f - 3*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the third derivative of -13*p**8\/336 + 2*p**5\/15 + 2*p**2. What is the third derivative of o(w) wrt w?\nAnswer: -780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, a: 2, u: 2}. What is prob of sequence auu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3578.271 millilitres in litres?\nAnswer: 3.578271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1046 + -1182. Let t be (z\/(-40) - 3)*2. Factor 14\/5*b**2 + t*b + 2*b**3 + 0.\nAnswer: 2*b*(b + 1)*(5*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2\/4 + 9357*f\/4 + 16338.\nAnswer: 3*(f + 7)*(f + 3112)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be 198\/7 + 16\/(-56). Let g be 4\/b*2*7. Solve 5*r = -g - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 441 + -429. Solve c + 5*c = -a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that -33*x**4\/5 + 15936*x**3\/5 - 139992*x**2\/5 + 301824*x\/5 - 34128 = 0.\nAnswer: 10\/11, 2, 6, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c + 13. Let l(z) = z**2 - z + 1. Let t(r) = 2*l(r) + u(r). What is the remainder when t(-6) is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes before 1:52 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -j + 15. Let x be 33 - 0*j\/(-15). Let i = x + -29. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -197*s - 10800. Does 3 divide k(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1554*z + 5571 - 97257 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4, -1\/4, -1\/8, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -53 + -6 + 12 - (-3 + -5 + -2).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4753 - -18608. What are the prime factors of v?\nAnswer: 5, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -2089 * 358846\nAnswer: -749629294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20 and 920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g + 4, 0 = -4*n - 7*g + 9*g - 2. Solve n = -3*f - 3 + 6, i - f + 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 299262985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (-30430)\/(-12) + 318\/1908 and 20?\nAnswer: 12680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2 - -1 - -2)*-10. Let a(b) = b**3 + 11*b**2 + 11*b + 15. Let m be a(r). Solve 4*p + 28 = -4*y, 0 = m*y - 0*p - 4*p - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand p**3 - p**3 + p**5 + (2 - p**5 - 2)*(1 + 2 - 1) + 9094529*p**4 - 9094529*p**4 - 6264*p**5.\nAnswer: -6265*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*t + 32698 - 8124. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 126241 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-2\/37)\/l)**(25\/4)\/(l**(-10)\/l**(-1\/26)))**(-2\/3) assuming l is positive.\nAnswer: l**(-3086\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -18789 (base 10) to base 4.\nAnswer: -10211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**2 + 7*t - 2. Let b be o(3). Let m be (6 - (-4)\/(-2)) + 2. Let a be 0\/(((-206)\/412)\/(1\/2)). Solve m*x - 4*x - b = a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -36*d**3 - 14*d**3 - 18*d**3 - 38*d**2 - 187*d + 40*d**2 + 16*d**3 wrt d?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 7) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1640 is divided by 800\/22 + (-12)\/198*(-11 - -17)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 92507, 92158, 91585, 90794, 89791?\n\"Answer: n**3 - 118*n**2 - 2*n + 92626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**3 + 5*h**2 - 12*h - 22. Let n be j(-6). Let w(d) = d - 9. What is w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 68947?\nAnswer: 68947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13919, 13914, 13897, 13862, 13803, 13714, 13589, 13422?\nAnswer: 13207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -12198, 1\/6, -0.298?\nAnswer: -12198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**3)**(-1\/2)\/(k**(9\/5)\/(k**12\/k*k)) assuming k is positive.\nAnswer: k**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 0 - (-9 + 18 + -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 168109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -222936 divided by 168.\nAnswer: -1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1104 and 9701952.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/z**(1\/14)*z*z*z*z**(4\/9)*z)\/(z*z**(3\/5)*z*z*z*z**(2\/5)*z) assuming z is positive.\nAnswer: z**(-79\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*d - 3*d - 2, -4*a - 5*d = 22 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.04 and -58921622.\nAnswer: -58921621.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 2*j = 7, i = 2*i + 3*j + 3. Let x(g) = -4*g**2 - 2*g + 7. Let z be x(i). Let d = 39 - z. List the prime factors of d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 402693799 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.3 and -5873.\nAnswer: 1761.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = -4*l + 2*p, 2647*l + 3*p - 19 = 2630*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 38163376 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -2 + 18 + (468 - 475)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.044? (a) 4 (b) 5 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2128 - -2122. What is the nearest to -0.53 in -5, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3e + 21?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the first derivative of 74 + r - 2\/7*r**7 + 0*r**4 - r**3 + 0*r**5 + 0*r**2 + 0*r**6. What is the third derivative of f(d) wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6416903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 86 divide 30899198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*k + 183 = 57 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 72 - 142 + 70 + 8*r. Let s(t) = 4*t - 7*t + 2*t. Let a(g) = -o(g) - 12*s(g). Let q(h) = 2*h. Give a(q(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 157 - -104?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 748*y - 748*y + 18*y**3.\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 341.211 * -0.061\nAnswer: -20.813871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*t + 16448 + 0*t**3 - 16447 - 3*t**3 to the form n*t**2 + f*t + q + h*t**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -4 times -64346102?\nAnswer: 257384408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 1, -500, 151, -5, 18 in ascending order.\nAnswer: -500, -5, 1, 7, 18, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 48970718 > 48970717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.36 in 0.095, -6\/5, -1\/7?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.3, -4, -0.02, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-three eighths of a second in milliseconds?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**2 - 2*o. Let b be j(3). Let s be (-10)\/3*18\/b. Solve 0*x - s = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-6)\/f)\/(f*f*f**(-2\/19)))\/(f**(1\/5)\/(f\/(f\/f**(7\/4)))))\/((f\/((f\/f**(2\/15))\/f))\/(f*f**(2\/11))*f*f**(-3\/7)*f**2) assuming f is positive.\nAnswer: f**(-173237\/17556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 126 + -75. Suppose 2*w + 3*q = -0*w + 19, 3*q = 3*w - x. Calculate the remainder when 41 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7961177 + 2*m**2 + 7961177.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1623600 - -1?\nAnswer: -1623566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 2, i: 6}. Give prob of sequence iiiy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2.24 - 0.76. Let o = 133 + -668\/5. Which is the nearest to -0.01? (a) r (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -14\/451 and -49\/410.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 4*p = 10. Suppose -2*u + v + 4*v = -16, v - p = 0. Suppose 3*h - 24 = -h + 2*x, 0 = 3*h + x - u. Let d(t) = -t**3 + 5*t**2 + t - 5. Determine d(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26783035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + n + 629 = 210, -3*b + 1258 = -4*n. What is b rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -483589*b*f**3*k**3 + 662*b*f**3*k + f**3*k**2 - 1038*f**3*k - 109*f**2*k**3 + 166 wrt b.\nAnswer: -483589*f**3*k**3 + 662*f**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36.71 - -5.\nAnswer: -31.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 24\/805 and 27\/115.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*(-19 - -2) + -2. Let z(f) = 7*f**2 + 6*f + 3. Let s(h) = -27*h**2 - 24*h - 12. Let p(k) = y*z(k) + 4*s(k). What is n in p(n) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (60\/21)\/((-4)\/(-14)). Let n(r) = r - 15. Let x be n(u). Which is the third smallest value? (a) x (b) 3\/4 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (p + p - p)*(-p**2 - 8*p**2 - 11*p**2)*(0 + 0 + 1) as t*p + n*p**3 + k + s*p**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 90 = 5*x. Let y(g) = 3 + 3*g + 1 - x - g. Is 12 a factor of y(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6078391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27\/1188 + 31730\/14696.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - 1 - (2 - 5). Suppose -7 = -3*g + w - 2*w, -s*w - 5 = g. Is (93\/(-9))\/((-1)\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*z + 21*z - 3*z - 5*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8025575 is divided by 76434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 205307 to the nearest 1000.\nAnswer: 205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((3 - 2) + 1)\/(20 - 18). Sort 1.11, -0.03, l in increasing order.\nAnswer: -0.03, l, 1.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 2*j**3 + 8*j**2 - 57. Let o be f(-8). Let m = -246 - o. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 405 <= 404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*3\/6*24\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (((-132)\/(-18))\/2)\/(3*1\/9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25\/(-15)*-3*2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2492.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 + -1. Let q(a) = 3*a - 2*a - 2 - 7*a + 2*a**2 - 3*a**2. Let n(o) = 1. Let x(u) = 3*n(u) + q(u). Give x(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**3 + 4*x**2 - 7*x - 6. Suppose 0 = -3*v - 0*v - 15. Let s be g(v). Solve 4*t - 4*y = -4, -s*t - 4*y - 32 = -y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p**(-4\/3)\/p))\/p**(2\/9))\/(p*p**1\/p*p)**(-48) assuming p is positive.\nAnswer: p**(892\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 24 (base 13) in base 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -15 - -11. Let r = 0 - d. Let b(a) = 7*a - 3. Let k be b(r). Solve 0 = -3*u - 5*t - k, -21 = 2*u + u + 3*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 123699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 33160 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 206 and 28?\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((2\/3)\/(((-130)\/(-39))\/(-5)))\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-81)\/(-108))\/((-6)\/(-264))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 4*y = 4*r - 27, -5*r - 41 = -2*y. Let x(l) = 18*l - 151. Let k be x(12). Calculate the greatest common divisor of k and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.22 * -3.872.\nAnswer: 0.85184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 AM and 10:07 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 219 and 238289885?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2\/1465 + -99626\/4395. Let u(m) = 76*m + 1. Let c be u(1). Let j = 37 - c. What is the common denominator of w and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 36\/28417319 and -115\/24357702.\nAnswer: 170503914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(110) - ((sqrt(110)*-2 - sqrt(110))*2 + sqrt(110) - sqrt(110)))*6*-3)\/(((sqrt(100)*2 + sqrt(100))*6 + sqrt(100))\/(sqrt(90)*5)).\nAnswer: -1890*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 55 + -14. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 10b174 (base 14) to base 13\nAnswer: 16b89b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 29.59037 weeks in hours?\nAnswer: 4971.18216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 2*u - 1. Let k be g(2). What is the units digit of 91 + 1 + 1 + k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-462)\/(-80) + 13 + -22 + 2 and 19\/288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8647621l in millilitres?\nAnswer: 864.7621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 39*u + 964*u + 153*u - 3 + 3 to the form q + o*u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -3 - s + 4 - 2*s - s**2. Let b be o(-3). Suppose 0 = 6*p + 202*p - 18*p - 190. What is the greatest common factor of b and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*a + 0*a + a)*(4 - 5 + 2) - 3*a + 0 + 0)*(-2*a**4 - 2*a**2 + 2*a**2).\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -1, -1.9, 2, 2.39?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the second derivative of -x**5\/20 - 5*x**4\/12 + 5*x**3\/6 + 7*x**2\/2 + 3*x. What is the units digit of w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of 0 - 1\/3*o**4 + 0*o**2 + 3\/28*o**8 + 4*o + 0*o**7 + 0*o**5 + 0*o**6 + 0*o**3. What is the third derivative of b(p) wrt p?\nAnswer: 720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -33126 rounded to the nearest one hundred?\nAnswer: -33100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 3*o, -10*g + 3*o - 10 = -15*g. Solve -3*q = 2*q + 10, 0 = -g*l + 5*q + 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes before 2:27 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes before 3:29 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m - 42 = 21. Let b(s) = 3*s**2 + 6*s - 8. Let k(y) = 5*y**2 + 10*y - 15. Let c(p) = m*b(p) + 4*k(p). What is c(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -20 divided by 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2896.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + v + 3)*(-3 + 4 - 2) + (-1 + 2 - 5)*(v - v - v) + 2*v - 1 + 1 + (3*v - 7*v + 3*v)*(3 - 3 - 1) + 0*v - 2*v + 4*v + v + 3 - 3.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -70, 61, -4, 2, 1, 536 in decreasing order.\nAnswer: 536, 61, 2, 1, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -701 divided by 14?\nAnswer: -701\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 352\/9 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (6 - 835\/35) + ((-116)\/28 - -4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 - 1004?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5*8\/(-120)*-3. Let i be -1*2 - 0 - 0. Let f = 5 + i. Sort s, f, 2.\nAnswer: s, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f - q - 11 - 2, 5*f - 27 = -q. Let c be f*((-6)\/15)\/1. Suppose -3*l = -2*l. What is the nearest to c in -3, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and 0.782.\nAnswer: 1.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -461, -5, -13\/4, -1 in descending order.\nAnswer: -1, -13\/4, -5, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 divided by -44.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -65668134*u**4 - 111749542*u**2?\nAnswer: -1576035216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*l**3 + 26604*l**2 + 6841500*l - 6868108.\nAnswer: 4*(l - 1)*(l + 269)*(l + 6383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 0*h - 2 - 2*h + 3*h**3 + 4*h**2 - 2*h**3. Let q(g) = -16*g**2 - 6*g - 5. Let t be q(-2). Let v = -60 - t. Calculate l(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -20 - -27. Suppose g = 4*m - 17. Suppose m*z = 2*z + 16. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z\/z**(5\/4))\/((z*z**(4\/5))\/z))**(-23) assuming z is positive.\nAnswer: z**(23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3592\/120 + -6 + 20\/300. Solve 9*r - t - f = 5*r, r = 5*t + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h = -4*w - 3, -40 = -8*w + 13*w - h for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 47 (base 15) in base 7?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 9*v**2 + 853*v + 13451. Calculate w(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(1\/9))**3\/(y*y*y**(-15)\/y*y*y*y**(1\/4)\/y))**(-28) assuming y is positive.\nAnswer: y**(-1099\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 2\/55577?\nAnswer: 2\/55577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -265820, -531569, -797320, -1063073, -1328828, -1594585, -1860344?\nAnswer: -2126105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4*6\/120*5\/(-6). Which is the smallest value? (a) -0.1 (b) -5 (c) -0.07 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - -9 - 6 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 126191999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.005 + -0.00497241. What is t rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = g + 1. Suppose -3 = g*u - 2*v - 1, 4 = -3*u + 4*v. Solve u = -3*a - 3 - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/71592519 and -43\/42230.\nAnswer: 715925190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, t: 9}. Give prob of sequence tt.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*m**4 + 31*m**4 + 52*m**4 - 256*m**4 - 9*m**4 + 111*m**4 + (-3 + 2 + 0)*(-2*m**4 + m**4 + 2*m**4).\nAnswer: -67*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Total of 21745 and -2927079.672.\nAnswer: -2905334.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*b**2 + 15*b + 43*b - 19*b + 23*b + 20*b - 82*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30, -77, -162, -303, -518?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*l - 4 = 5*s, 3*l - 4*s - 1 = 28 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/8 - (-17)\/(-12). Which is greater: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2)*(3 - 4 - 4)*(4*u - u - 2*u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 28 (base 9) to base 2.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6477 less than 0.095?\nAnswer: -6476.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 155450285 to the nearest integer?\nAnswer: 12468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 PM and 6:12 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13463100?\nAnswer: 2, 3, 5, 7, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -19 - -24. Let r be (14\/35)\/(1\/u). Suppose -r*g + 20 = -82. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27941265 a multiple of 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 22 + 28 + 2*t - 68 + 23. What is m(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14 - -5. Let y(t) = -t**3 - 8*t**2 + 9. Is 30 a factor of y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 453*p**2 + 3*p. Let m(x) = 15*x**2. Calculate w(m(y)).\nAnswer: 101925*y**4 + 45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 3178*j**2 - 13 - 13 - 3179*j**2 - 5*j - 23 in the form o + f*j + q*j**2 and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2853\/3926 - -173\/302. Let h be (-6)\/3*1\/(-8). Which is the closest to 2\/7? (a) h (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 37 + -29. Suppose n*q - 9*q = -147. Is 49 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/9 - (3\/9)\/(-1). Sort -4, m, 6, 4 in decreasing order.\nAnswer: 6, 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:20 AM and 1:14 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m and 1 n when four letters picked without replacement from qmpnqqqbpmqqmbbm.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t + 4. Let b be c(8). Let y be b*(1 + 2\/(-3)). Let l be (0 - 6)\/((-3)\/10). Solve y*x - l = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**2 + 3*g - 4. Let a(j) = j - 4. Let s be (-4)\/2 - (-6 + 4). Let k be a(s). Determine u(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6 - (-6 + 1)) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1467660960?\nAnswer: 2, 3, 5, 1019209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/36*30\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2048*p**2 + 1399*p**2 + 53*p**2)*(1 + 1 - 1)*(-2*p**2 + 2*p**2 - 2*p**2).\nAnswer: -7000*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t**3 + 13*t**2 + 13*t + 12. Let k be q(14). Let g = -5 + 7. Suppose -2*i = g*i. Are i and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -39370?\nAnswer: -1\/39370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -97*u + 81. Let d be w(-5). Suppose -4*k - c = -783, -4*k + d = -3*c - 237. What are the prime factors of k?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 432 and 3190941?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -76299*t**4 - t**3 - 1160*t**2 + 18?\nAnswer: -1831176*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, -5, -1.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -34.617 to 0 decimal places.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 4*t - 48 = 0. Let x be 1\/4 + (-165)\/t. What is the greatest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -169\/5166 and -191\/29484.\nAnswer: 1208844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -141\/140 and 77\/180?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 343993 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 12 and -293?\nAnswer: -3516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the second derivative of x**4\/36 - 8*x**3\/9 + 55*x**2\/6 + 10*x + 50. Factor k(d).\nAnswer: (d - 11)*(d - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -3048*f - 4076. Let a be l(-137). Round a to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -146*m + 301*m - 153*m - 8. What is u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -36, -11, -1008 in increasing order.\nAnswer: -1008, -36, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -1000 greater than -999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1470) - sqrt(1470)*1)*3)\/(sqrt(54)\/(sqrt(54)\/(sqrt(6)*-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -n - 1 - 15 = 5*p, 0 = -5*p - 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -31575 and 0.194.\nAnswer: -6125.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*n**2*x**3 - 10*n**2*x**2 + 19*n**2*x + 4*n**2 - 2*n wrt x?\nAnswer: 12*n**2*x - 20*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**2. Let q(o) = -25 + 6*o**2 + 11 + 14. Determine q(k(v)).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 30 = 5*v + 2*j, v - 15 = -5*j. Let w be (51 - v)*(-5)\/(-2). What is the greatest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let l be 5\/((-2)\/22 - 0). Let b = 121 + l. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 336*l + 2*l**2 - 166*l - l**2 - 170*l - 53144 + 53151.\nAnswer: l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 + -14. Let u = -10 - n. Let a(q) = -q**2 - 7*q - 2. Let j be a(-5). Solve -t - 5*p + u = 14, 0 = t + 3*p + j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 3*g**2 - 1828032*g + 1828029 = 0.\nAnswer: 1, 609343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18 + -51 - (-60 + 34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 282 is divided by 144?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 22874601299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8*5\/(-1260))\/(1\/(-9)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -a1473c6 - -5?\nAnswer: -a1473c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by -6786.\nAnswer: -1\/3393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 - 13cd1dd?\nAnswer: -13cd203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -30, -128, -292, -522, -818?\n\"Answer: -33*b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cpcd when four letters picked without replacement from qpqqdqdccpcqdqqpqqcq.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -130*z - 1049 = -2041 - 3688 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15*z**3 + 16*z - 1756 wrt z.\nAnswer: -45*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1223566077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l**3 + 14*l**2 + 51*l + 266. Let k be d(-6). Solve 2 = -15*h + k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yggi when four letters picked without replacement from trrgrgiyrgiyii.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8874, -17733, -26584, -35427, -44262, -53089, -61908?\nAnswer: -70719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 117 (b) -59 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -90 + 92. Let l(n) = -n + 4. Let z be l(0). Suppose -5*a = -5*s + 7025, -3111 = z*a + t*s + 2479. What is a rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ositwwo. Give prob of sequence iwwt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Are -66952 and -66652 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/(-42) - (9\/9 + (-7)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -8977000 rounded to the nearest 100000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -3*j**2 + 31*j + 23. Suppose 634 + 741 = 125*o. What is u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (c + 0*c + c)*(-1202*c**2 + 14 + 3*c + 2384*c**2 - 1190*c**2) in the form y*c + q*c**2 + m + h*c**3 and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5490 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*g + 47*g - 5 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q. Let y be b(2). Let r be (-2)\/((y + 4)\/(-32)). What is the greatest common factor of r and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {e: 5, o: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 100962293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -4\/106365?\nAnswer: -4\/106365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1708 rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1116 and 1426?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t**(5\/3)*t)**(3\/2)*t**1\/t**(-3\/16) assuming t is positive.\nAnswer: t**(131\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9134881*d**5 + 814*d**2 + 2618*d wrt d.\nAnswer: -548092860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 693338 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 86*b**3*s**2 + 1713*b**3 + 17562*b**2*s**3 + 18*b**2 + 397*b wrt s?\nAnswer: 172*b**3*s + 52686*b**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 463*w**2 + w. Let g be l(3). Suppose 3678 = 3*h - g. Suppose h + 527 = 7*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -3720370, -3720399, -3720428?\n\"Answer: -29*w - 3720341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sqqs when four letters picked without replacement from {q: 7, s: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -966080067 + -0.02.\nAnswer: -966080067.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 2*i**2 - 68*i + 78. Let d be (-60)\/300 - 332\/(-10). Let n be v(d). Solve 3*a = -0*w - 5*w + n, 4*a + 2*w = 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - u + 5 = 0. Solve -s + 0*s + 5*c = -5, -4*s - c - u = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1286\/7 - -184. Which is greater: a or -10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -125.25 + 125.131749. Let a = 5.168649 - m. Let s = a - 5.3. Round s to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 8*v. Let x be y(-2). Let j be -8*3*x\/(-12). Let q be (-12)\/j*-6 - -2. What is the third biggest value in 4, 3\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 40*j**2 - 6*j - 10*j**2 + 35*j**2 + 317*j**4 - 27*j**2 wrt j.\nAnswer: 7608*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1505769*h**2*o**3 - 151*h**2*o + 88423*h**2 + 15*o**3 + 2*o wrt o?\nAnswer: 9034614*h**2*o + 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2337, -18995, -64335, -152697, -298421, -515847, -819315, -1223165?\n\"Answer: -2390*g**3 - g**2 + 75*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33595 is divided by 373.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 343*l**2 - 7371428 + 7371428. Let d(y) = 2*y. Determine d(k(f)).\nAnswer: 686*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.07443 + 1.92557. Put x, -3, -0.059, -2\/9, -0.6 in decreasing order.\nAnswer: x, -0.059, -2\/9, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-3 - 91\/(-11)) + -7 + 0 and 7\/1518.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1072 + 141 - 48 + 42*o**2 - 45*o**2.\nAnswer: -3*o**2 - 979","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3651602697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 3*d + 41 = 0, -6 - 6 = 4*d. Let m = 21 - l. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -10 + 217 + -232\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 150827 is divided by 25058.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 + 9*u - 2. Let x(f) = f**2 + 5*f + 6. Let l be x(-5). What is t(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i + 8. Let k be s(-6). Let m be (k\/20)\/((-5)\/(-20)). Let q = -239 - -238. Which is the nearest to m? (a) -0.2 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*s - 7*s + 114 = 0. What is the second derivative of -100*l + 11*l**2 + 4*l**2 - s*l wrt l?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 + -5. Let a = -1.00000056 - y. Round a to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3516 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.17 from 26172605.433.\nAnswer: 26172605.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -92*m**4 + 90794*m**3 - 29864646*m**2 + 3272991358*m + 356112890.\nAnswer: -2*(m - 329)**3*(46*m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*p + p**2 + 6*p + 3*p**2)*(0*p**3 - 5*p**3 + 2*p**3).\nAnswer: -12*p**5 - 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 792 - 5*t**2 + t**2 - 792.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -100000100010110011001 (base 2) to base 13\nAnswer: -2b4503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 324*i**2 + 17*i**3 - 294*i**2 + 14*i**3.\nAnswer: 31*i**3 + 30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -182 + 269c?\nAnswer: 251a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (6\/(-7))\/(1\/(-14) + 0). Solve x - m - 4 = 4*j, 20 = -5*j - 3*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5679300, 11358623, 17037942, 22717257?\nAnswer: 28396568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4611 - 5?\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 - 3*l**2 + 2*l - 8. Let x be a(-4). Solve x = -24*j + 26 + 70 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 381 by -3.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 25*m**2. Let w(p) = -5*p**2 + 9. Calculate w(c(i)).\nAnswer: -3125*i**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 98 divide 1109164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 9445172861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the third derivative of -t**6\/240 + t**5\/60 + t**4\/16 - 103*t**2. Suppose n(q) = 0. What is q?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -2*h - 3*h + 9*h + 6*h**2 - 7 + 8*h**2 - 16*h**2. Determine p(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -186, -549, -902, -1239, -1554, -1841, -2094, -2307?\nAnswer: -2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/15 - -1) + 1\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -58 + 60. Let k(v) = 14*v**3 - 9*v**2 - 17*v - 8. Let l(n) = -5*n**3 + 3*n**2 + 6*n + 3. Let z(x) = -4*k(x) - 11*l(x). Is 7 a factor of z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.072 times 0.06?\nAnswer: -0.00432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 4235\/1155*120\/66\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-13))**(-21) assuming l is positive.\nAnswer: l**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the second derivative of 0*b**7 + 0*b**2 + 0*b**5 + 8*b + 0*b**6 + 0*b**3 + 0 + 1\/28*b**8 - 1\/3*b**4. What is the third derivative of j(i) wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 16) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 8*d**3 - 17*d - 11. Let j(l) = -317 - 3*l**3 - 318 - 322 + 961 + 6*l. Calculate 11*j(s) + 4*q(s).\nAnswer: -s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 - 2*f**2 + 5*f - 7. Let d(u) = -u**3 + 4*u**2 - 5. Suppose 2*p = -3*a - 7, -2*p - 2*a - 12 = 2*a. Let k be d(p). Does 16 divide g(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*q - 14*q - y - 56 = 0, q = -3*y + 21. What is the highest common divisor of 81 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 43460981\/1525 + -28499. Do q and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-2)\/6 + (-1212)\/(-18).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(1\/5))**(-16)*(p**(-12)*p)\/(p*p**9*p))**(-5\/2) assuming p is positive.\nAnswer: p**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 24979*n**3 - 148 wrt n?\nAnswer: 74937*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*((-2)\/(-1))\/((-20)\/(-50)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 12303523 - 5?\nAnswer: 12303514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = 5*m + 5*b - 43, -3*b = 12. What is the lowest common multiple of m and 1*(3 - 0) + 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 16, -4, 2, 33 in decreasing order.\nAnswer: 33, 16, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.34 - 2.4. Let o = i - 0.14. What is the closest to -1 in 0, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 3701*q - 17668. Calculate the lowest common multiple of 378 and t(5).\nAnswer: 11718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 15992 + 21 - (-34)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a**3 - 233*a**2 + 2*a - 2. Let w(x) = -4*x**3 - 935*x**2 + 9*x - 9. Calculate -36*k(h) + 8*w(h).\nAnswer: 4*h**3 + 908*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - w = -v - 2, 3*w = -3*v + 12. Solve -v*a = -0 + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 2*v. Let d = -76 + 72. Let n be (d - -3)\/((-318)\/105 - -3). Solve v = 5*u + 10 - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1320)\/(-252))\/22*(-12)\/(-10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**3 - 5*j**2 + 8*j - 3. Let x be w(-7). Suppose -5*f = 2*z + 1, -3*z = -6*z + 5*f - x. Let t = z - -19. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 120 - 30 = 0. Solve -b + p = 3*h, -h = -4*h + 2*b + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -30*t**2 + 8*t + 8. Let s(c) = -9*c**2 + 3*c + 3. Let i(o) = -3*m(o) + 8*s(o). Let w(q) = 4*q. Determine i(w(x)).\nAnswer: 288*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 0.2966174g?\nAnswer: 0.0000002966174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0003578651 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h. Let b(j) be the second derivative of 1\/6*j**3 + 2*j + 0*j**2 + 0. Give c(b(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kekxdxzqe. Give prob of sequence qx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 239337 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -756.9 in 0.5, 0.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 - -12. Let l = -27 + 83. Let f be 992\/l - (-4)\/14. What is the highest common factor of f and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 30517 - 19286. Is h a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*m - 6*m**2 + 2*m + 3*m**2 + m**4 + (-3*m**4 - 2*m**2 + 2*m**2)*(-1 + 4 - 4).\nAnswer: 4*m**4 - 3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 241651?\nAnswer: 241651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2\/27 and 115\/144.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/4 and 2\/(-1) + (-2392)\/(-676).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes before 12:48 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 110 is divided by 61.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2550 - -6514. List the prime factors of i.\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-31)*22\/110.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30)\/(2*sqrt(5)) + sqrt(6) - (sqrt(66)*2 + sqrt(66) + sqrt(66) + sqrt(66))\/sqrt(11))\/(-6*5*sqrt(4)\/sqrt(2)).\nAnswer: 7*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v\/(v**(1\/21)*v)*v)\/(v**(-26)*v))\/((v*(v\/v**(-32))\/v)\/(v\/(((v*v**(-8))\/v)\/v))) assuming v is positive.\nAnswer: v**(83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 26 + -22. What is the closest to -3 in k, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence crc when three letters picked without replacement from {c: 6, r: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15173542?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 456, 1821, 4088, 7251, 11304, 16241?\nAnswer: 22056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -248 divided by 4.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v + 5. Let l be w(3). Let d(t) = 3*t - 2*t + 4 - t**2 + 0*t**l + 4*t. Let u(o) = o**2 - 5*o - 8. Let q be u(7). What is d(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -29*z**3 - 6*z**2. Let s(j) = 1886*j**3 + 391*j**2. Let y be (12\/(-9))\/(-14*4\/(-252)). Determine y*s(k) - 391*h(k).\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -97*z + 2870 = -459*z + 9748 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-14)\/(-4) - -2)*2. Let z(g) be the first derivative of -17*g**2\/2 + 3*g + 5. Let h be z(-5). Calculate the greatest common factor of h and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -4*x. Suppose x = -5*y + s + 15, -3*y - 2 = 3*s + 7. Solve 4*r + 18 + y = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 6*s. Let p(v) = -17*v. Suppose -11 = -2*d + 5. Let q(m) = d*w(m) + 3*p(m). Let r(u) = -u - 15*u + 16*u - 12*u - 7*u - 2*u. Give q(r(a)).\nAnswer: 63*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/(-8) + (-3)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 23, 0, -18 in decreasing order.\nAnswer: 23, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 141960 and 65.\nAnswer: 141960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1272745561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (26\/91)\/(((-8)\/2)\/(-84)). Let b be (26 - 21)\/(1\/m). Calculate the greatest common factor of 1410 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (12 + -2)*6\/(-5). Let o be 3\/(f\/4)*21000. What is o rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -957, -1903, -2847, -3789, -4729, -5667?\n\"Answer: d**2 - 949*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (9\/(-6))\/((-9)\/12). Find the third derivative of -11*o**x + 6*o**6 - 13*o**6 + 6*o**6 wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.537320915 rounded to 2 dps?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, -2\/7, -53, 407, 2\/9 in descending order.\nAnswer: 407, 2\/9, 0.1, -2\/7, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*v + 9*v - 2*v to n + i*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 182, -1, 3, 110 in decreasing order.\nAnswer: 182, 110, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-4)\/6)\/((-16)\/(-24)). Let a be l\/2 + (-1)\/(-1). Suppose z**2 - 1\/2*z**4 - a + 0*z**3 + 0*z = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -97.1 - -97. What is the nearest to p in 5, 0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v + 12 - 56 = 71 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 115*u + 6904. Suppose 0 = 3*o - 5 - 7. Suppose -36 - o = -5*k. What is the least common multiple of k and i(-60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1, -701208, 3.\nAnswer: -701208, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 - -19. Suppose -2*t = -3*t + x. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -3, -17, 232, -5.\nAnswer: -17, -5, -3, -2, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 12 = -0. Let l = -81 - -83. Put a, -3, l in descending order.\nAnswer: a, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -100 + 87. Let d = m + 14. Let u be 2 + 0 - ((-54)\/d - -3). Are 54 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 70 + 34. Let j = u + -8. Suppose 0 = -t - 3*p - 4, -t + 3*p = 4 - 12. Solve -t*k + 8 = j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*h - 71*h = -17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -17 and 0.042?\nAnswer: 17.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 715705876?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 30 = 5*l - 12, 3*l + 3 = -2*v. Let c be ((-4)\/(-12) + 2)\/(l\/9). Let f(o) = 3*o**2 + 7*o - 5. Let g(q) = q**2 + 3*q - 2. What is c*g(k) + 3*f(k)?\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:50 PM and 9:07 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 53130 and 141680.\nAnswer: 425040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*l - 33*l + 1711448 = -11*l. What are the prime factors of l?\nAnswer: 2, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 61. Suppose r = -3*r + y. Calculate the highest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*m**2*y**2 + 32*m**2*y - 3*m*y + 6*m + 8*y**2 - 143*y - 2 wrt m?\nAnswer: -4*m*y**2 + 64*m*y - 3*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(182)\/(sqrt(343) - (sqrt(343) + (sqrt(343) - sqrt(343)*3))))\/(sqrt(4)\/(sqrt(2) + sqrt(200)*4)).\nAnswer: 41*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3130 + 3130. Let b = -178 - -177.899. Put j, b, -4 in ascending order.\nAnswer: -4, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3157\/9 - -351. Let k = -585 - -584. Which is the closest to k? (a) x (b) -1\/4 (c) -8 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r + 6*g = 6, -8*r + 3*g + 2*g + 16 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -379*z + 122 + 180 - 303.\nAnswer: -379*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -13*h**3*n**2 + 323*h**3*n - 3*h - 121703*n**2 wrt h?\nAnswer: -39*h**2*n**2 + 969*h**2*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(210)\/(sqrt(1210)*-1))\/(sqrt(84)\/(sqrt(48)\/sqrt(4)) + (sqrt(63)*-2)\/sqrt(9)).\nAnswer: sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -4.908 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-6)\/(r*r*r\/r**(2\/3)))**(-7\/4)*(r**1*r)**(-2\/5)\/((r**(2\/11)\/r)\/(r**(-3\/7)*r)) assuming r is positive.\nAnswer: r**(70099\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1861249*l + 2*l**3 + 2980 + 1861249*l.\nAnswer: 2*l**3 + 2980","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-169 + 970*x**2 + 172 - x - 1056*x**2)*(-3*x**2 + 6*x**2 + 0*x**2).\nAnswer: -258*x**4 - 3*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3 - (-4 - -3)\/(-1). Let a be ((-2)\/(-3)*6 - 2) + -12. Let f be (1\/(15\/9))\/(2\/a). Sort f, -8, r, -1 in descending order.\nAnswer: -1, f, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 115 + -118. Which is the closest to -3? (a) 2 (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11902 and 110364?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/6)\/((-3)\/333). Let c = h - -43. Let i(m) = -3*m - 2. Let y be i(-4). Solve -w + c*w = -y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 98098190*3\nAnswer: 294294570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1793016 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**2 + 6*v - 3. Determine r(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 71 - 68. Let g be (18\/(-1))\/(20\/(-10)). What is the remainder when v is divided by ((-4)\/((-12)\/g))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 257, 537, 817, 1097, 1377, 1657?\n\"Answer: 280*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4197 + -4290. Let s(o) = -o**3 - 6*o**2 - 4*o + 6. Let j be s(-5). Is j smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 + 11*o**2 - 4*o + 4. Let v be p(4). Suppose 102*h - 62 = v*h. Let y = h + 100. What are the prime factors of y?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*(r*r**(-2\/3)\/r)\/r)**(6\/11)\/((((r\/(r*r\/r**(-2\/19))*r)\/r)\/r)\/(r**(1\/4)\/r))*(r**(3\/4)\/r**4)**(-5) assuming r is positive.\nAnswer: r**(7207\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 90 minutes before 6:26 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 920 and 24065120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-851)\/(-69))\/((10\/12)\/(-5)). Let x = 86 + n. Calculate the least common multiple of 164 and x.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -22411, -22486, -22611, -22786?\n\"Answer: -25*p**2 - 22386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (17 - 2) + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-1492*a**2 - 14557 + 14557)*(-a**2 + 4*a**2 - 2*a - 1 - 2) as x + m*a**2 + q*a**3 + r*a**4 + d*a and give q.\nAnswer: 2984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three thirds of a day in hours?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-42)\/(-1905) + 0)*5. Let y = -5659\/508 - r. What is the common denominator of y and 0\/(-2) + (-48)\/(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.05, 0.3, 6, -2.\nAnswer: -2, -0.05, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from gxlgogoolggglxbgxxl.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 167 = -2*r, 5*r + 73 = 243*p - 242*p. Solve -p*n + 20 = -57*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1057807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes before 4:12 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -184*c + 583. Let o(i) = -37*i + 116. Let w(s) = -2*f(s) + 11*o(s). Differentiate w(m) with respect to m.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8*(-5)\/(-300)*86\/((-29584)\/(-2322)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -4*y - 2 + 7, -10 = 4*g - 2*y. Let t be (-29)\/g - (-13)\/39. Let j(c) = c**2 - 8*c + 1. What is the remainder when j(t) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -37*m**2 + 2*m**4 + 417*m**3 - 409*m**3 + 35*m**2 in the form g + h*m**4 + a*m**2 + o*m + z*m**3 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-245)*345\/(-138)*2)\/((-72)\/(-72)).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 + 5*l**2 + 7*l. Let b be x(6). Let p(w) = -4*w**2 + 3*w + b - 6*w + w**3 - 4*w. Does 18 divide p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 690345417 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 35529 and 1120288585?\nAnswer: 11843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*v + 3*v - 8 + 2.\nAnswer: v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 22321, 4, 191 in decreasing order.\nAnswer: 22321, 191, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 14035806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 181.82253 months?\nAnswer: 1.51518775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -3*l. Solve l = -5*v - 3*j - 8, 0 = -2*v - j - 0*j - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 56299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 + 7. Suppose i + 15 = -5*m, -6*m + 5*i = -2*m + 12. Let y = g + m. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 36 = -5*u, -3*a + 5*u + 52 + 16 = 0. Let h(v) = v + 7. Let j be h(-3). Suppose -w + 2*q = 3*w - 776, 0 = -j*q - a. Round w to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 - -8. Let r be (-140)\/(-33) - (-11 + 435\/29). Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 358363459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, 87, -4 in ascending order.\nAnswer: -4, -3, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 - 2 + 8)*(-6 + 3 + 1)*(2364*z - 1690*z + 530*z).\nAnswer: -45752*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 14 = -4*c, -2*c + 18 = -0*c - 4*u. Let r(n) = -8*n**3 + n**2 + 2*n + 1. Let l be r(c). Calculate the greatest common divisor of l and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 73804692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 19 + 1. Let p be (96\/10)\/(4\/w). What is the greatest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 643977 and 24685785?\nAnswer: 74057355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 3310020 (base 4) to base 8\nAnswer: 36410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23430 is divided by 11709.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -70, -1, -8, -17, -46.\nAnswer: -70, -46, -17, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 7259*r + 13120 = 7099*r for r.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*i + 5428 = -10*i. Do i and -236 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2226 is divided by 101.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -20.092 - -20. Let z = 0.092099 + b. What is z rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37*r - 37*r - 3695*r**2 - 24799*r**2.\nAnswer: -28494*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h = -3*g - 18*h + 3, -g - 9 = 3*h. Let o(u) = 6*u**2 + u. Let w(m) = -11*m**2 - 2*m. Calculate g*w(t) + 10*o(t).\nAnswer: -6*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2 - 55128*j + 759774096.\nAnswer: (j - 27564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5*1)\/1*(-20)\/(-150)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 4:01 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6*c**2*j*o**3 + 2*c**2*j - 89*c**2 - 740*j*o**3 - j*o**2 wrt c.\nAnswer: -12*c*j*o**3 + 4*c*j - 178*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 5 - ((-24)\/(-2))\/3. Suppose 0 = -x - y + 113. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y = -4*j + 80, j - y = 6*j + 3*y + 3*y - 124 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -355 + -5?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/(-58)*((-1)\/(13\/(-117)) + -11). Which is the smallest value? (a) u (b) -11 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 30658902 divided by 15329451\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13 or -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6, 0, -7\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**2)**15)**(3\/35)\/(q**6\/q**(-4))**(20\/11) assuming q is positive.\nAnswer: q**(-1202\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 6.045032m?\nAnswer: 6045032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 106, -18, 1, 0, 4, -4 in descending order.\nAnswer: 106, 4, 1, 0, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 40*n + 38*n**3 - 42*n + 2 - 94*n**2 + 92*n**2. What is the hundreds digit of t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-125)\/(-102) - 43\/731?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 8:13 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 0.3 (c) -14 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -172*k**3 + 177*k**3 - 3*k - 22*k**4 + 4 + 18*k**4 + k**2 in the form w*k**3 + z + h*k + r*k**4 + m*k**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -268.8738 + 266.63. What is c rounded to two decimal places?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5.93 - 6.2. Round o to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffgffkdgf. What is prob of picking 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-8))**(10\/11) assuming b is positive.\nAnswer: b**(-80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + (39 + (5 - -13) - 17).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of 1\/30*l**4 + 0*l**3 + 5*l**2 - 7\/150*l**5 + 0 + l. Let b(m) be the first derivative of w(m). What is q in b(q) = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6420 - 3.\nAnswer: -6423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 22137589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 5679?\nAnswer: 11358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*((k\/(k*k\/k**22*k)*k)\/k)\/k*k*k)**(-25) assuming k is positive.\nAnswer: k**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 2*l - 2805 - 85, 5*a - 1460 = -l. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -9*f**2 + 13*f - 2. Let t(g) be the third derivative of g**5\/15 - g**4\/4 + g**3\/6 + 49*g**2. What is -7*t(p) - 3*y(p)?\nAnswer: -p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 213 - 25?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1686146804 divided by -421536701?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 + -3 + 3 + 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - g = 19, -5*g + 6 - 1 = 5*p. Suppose p*b = -4*z + 240, -2*z - 115 = -3*b + 40. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -5*j - 5*z - 26, -4*j - 3*z = 36. Let a(y) = y**2 + 6*y + 7. Let i be a(j). Let s = 8 - i. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 3*z + 2095 - 2137 = 0, 0 = 5*y - 2*z - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -2003 (base 4) in base 10?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -11\/18 and 118\/6*60\/520.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (77\/1232)\/(6\/44*((-26)\/13)\/18)\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2061 divided by 124.\nAnswer: 2061\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*u + 55 - 58 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aeeaaooa. What is prob of sequence eaea?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 5*i**2 + 2*i - 1. Let w be j(-1). Let x(g) = 34*g**w + 6 - 3 - 2. What is the tens digit of x(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1295461776?\nAnswer: 2, 3, 7, 3855541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 15502*h - 4. Let i(s) = 5*s. Calculate c(i(g)).\nAnswer: 77510*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t\/(t**(-2\/47)\/t)*t\/t**(4\/3))**(20\/3) assuming t is positive.\nAnswer: t**(7640\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 - 7 + 8*q + 85*q**2 - 18*q - 92*q**2. Determine z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 486, 494, 514, 552, 614, 706, 834, 1004?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 522 less than 0.2?\nAnswer: -521.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000354524 to 5 dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1745 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find r such that 29*r + 841 + 1\/4*r**2 = 0.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1.88744115 or -1?\nAnswer: -1.88744115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -121311321310 (base 4) to base 8.\nAnswer: -31657164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13750975571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 9261*h**3 + 25137*h**2 + 22743*h + 6859 = 0 for h.\nAnswer: -19\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -12, -3, -1, 8, 3, 14 in increasing order.\nAnswer: -12, -3, -1, 3, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -5*g**3 - g - 8. Let h(l) = -14*l**3 - 3*l - 23. Let z(p) = 2*p**2 - 21*p + 48. Let i be z(4). Determine i*h(v) + 11*f(v).\nAnswer: v**3 + v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in d**3 + 31*d**2 - 31*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 2*g**2 - 8*g + 7. Let w be a(5). Suppose w = c + u, -6 = 3*c + u - 47. Solve -3*i + c = 5*p, 3*p - 7 + 3 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 2*y - 10 = 0. Let k(w) = w - 2. Let b be k(y). Suppose -3*c + 16 = c + 4*n, 5*n = b. Solve -2*i + c = -4*v - 0*i, 2*i = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -37641623\nAnswer: 2\/37641623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -64.89 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -4, -1, -14\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y + 2*y + 0*y)*(6 + 4 - 3) - 3*y + 4*y + 10*y + (5 - 1 - 2)*(2*y - 2*y + y).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18715*28.\nAnswer: 524020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is (-3 - -2 - -2) + 83 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6610*i**5 + 13840*i wrt i?\nAnswer: -132200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/6)\/((-7)\/((-1848)\/(-11))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes before 11:16 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*m = 26*m - 3480. Suppose -s + m = 2*s. Suppose -y - b = -5*y - s, 0 = 3*y + 2*b + 95. Is -36 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 3*q**2 - 3*q + 2. Let c be d(2). Solve -4*v + c = 5*o - o, 3*o - 2 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14989 - -14988.96. Is a smaller than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 31, 22, 13, 4, -5?\n\"Answer: -9*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1262937381 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -1081.17, -0.17, 2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2704655012?\nAnswer: 2, 173, 569, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 56 and 26016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 85.991*0.5\nAnswer: 42.9955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 542, 1930, 3766, 6044, 8758?\n\"Answer: -t**3 + 230*t**2 + 705*t - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(112) + -2 - sqrt(112)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -2*z. Let w(d) = -6*d + 68. Let c be w(11). Let s(m) be the second derivative of 0*m**c - 4*m + 1\/4*m**4 + 0 + 0*m**3. What is s(v(r))?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**5\/(j*j*(j\/(j*j**(-1\/2)))\/j)*(j**(2\/7)\/j)\/j**(-9))**(-3\/5) assuming j is positive.\nAnswer: j**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 1072084757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 6*u + 8. Suppose -12*o + 32 = 3*i - 14*o, 0 = i - 4*o - 34. What is m(i)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - (254 + -4 + 0 + 1)\/36.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.15 + -0.24. Are 2.2 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = -g + 5079, -4*g + 9*g - 25395 = -5*f. Let u = g - 3157. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 98572.\nAnswer: 2, 19, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v**3 - 36236*v**2 - 164203410*v - 656233992 = 0. What is v?\nAnswer: -9057, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k*k\/k**(3\/5)))**(-34)\/(k*k**12*k*k\/(k*k**25*k)) assuming k is positive.\nAnswer: k**(298\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -12*z - 17 - 9*z**4 + 8*z**4 - 11*z + 4*z**3 - 13*z + 35*z in the form c*z + w + f*z**3 + g*z**2 + h*z**4 and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let l = 153 - 102. Suppose 0 = -30*z + 27*z + l. Let m(h) = 2*h**3 - 8*h**2 + 14*h - 7. Let t be m(6). What is the greatest common factor of t and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -182, -3, -5, 7, -1, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69*w**2 + 17*w**2 - 41*w**2.\nAnswer: -93*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 3265, 3282, 3299, 3316, 3333?\n\"Answer: 17*r + 3248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3.4 - -1.6. Let k = 23 - r. Let x = -18.7 + k. What is x rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-16)\/(d\/d**(-36))*(d*d*d**(-1\/6)*d*d)**(-49) assuming d is positive.\nAnswer: d**(-1445\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2\/10245 + 747893\/40980. Let x = -2177\/820 + -8\/41. What is the common denominator of l and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -19*n**2\/2 + 197775*n\/2 - 20818.\nAnswer: -(n - 10409)*(19*n - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 144 = d, 5*u = -4*d + 88 - 708. Let o = d + 468. List the prime factors of o.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 1 + 7*c + 7*c**2 - 7*c**2 + 0 + 7*c**2. Let k(j) = -6*j**2 - 6*j - 1. Let g(l) = -5*b(l) - 6*k(l). What are the prime factors of g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 6*k + 7. Determine u(8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/(-1312)*16\/(-800)*-80.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33 - 6510*g + 78 - 27 - 35*g - 19 - 5155*g.\nAnswer: -11700*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**3 - 11*n**2 + 15*n + 15. Let j be b(-12). What are the prime factors of 12\/4 - (j - 2\/1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.19 + -0.49. Let r = -26 + 25.99. Let q = r - -0.11. Sort 0.3, -1\/3, z, q in increasing order.\nAnswer: -1\/3, z, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13301 and 59713?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (52*v + 3 + 2 - 86*v + 0)*(3*v**2 - v**2 - 5*v**2 - 6*v**2 + v**2 - 3*v**2 + (2*v**2 - 1 + 1)*(6 - 3 - 2)).\nAnswer: 306*v**3 - 45*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 3 = -n, -3*z - 556*n + 560*n = -4 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 8932528.81 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 22, -11, -3, -103, -2 in descending order.\nAnswer: 22, 12, -2, -3, -11, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 135953, 135937, 135919, 135899, 135877, 135853?\n\"Answer: -j**2 - 13*j + 135967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - -7 - (20 + -9) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -36*d**2*x**2 - d**2*x - 207*d - 2*x**2 wrt d?\nAnswer: -72*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 70 - 74. Suppose 2*s - 4 = -4*v, 2 + 0 = 2*s + 3*v. Which is the third smallest value? (a) p (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/36 and -46\/579.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 471989.\nAnswer: 7, 67427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are -180320581 and -180320580 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/((-3)\/(-1*12)). Let d be m\/6 - (-79)\/3. Let q = d - 17. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -66477, -133001, -199529, -266061, -332597?\n\"Answer: -2*u**2 - 66518*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n - 7. What is s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of -u**4\/4 - 14*u**3\/3 + 8*u - 12. Let k be w(-14). Solve -2*r - k + 2 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 4 (c) 2\/5 (d) -1\/6 (e) 214 (f) -0.4 (g) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -16*b - 38. Let v be p(-7). Suppose v*w - 21 = 67*w. Let n = -9 + 11. Solve m = 4*k + w, -3*m - 5 - 6 = -n*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1.73 (b) -1724 (c) -2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1135 + 1130. What is the biggest value in i, 0.2, 3, -53?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*l - 3*l - 40. Suppose 5*d + 0*d = 195. Let t = l + d. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 218 + -216. Let k(w) = 1 + 44*w**2 + 0*w**3 - x*w**3 - 94*w**2 + 54*w**2. Let m(i) = i + 9. Let l be m(-6). Give k(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88350.83 meters in millimeters?\nAnswer: 88350830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.2 (c) -0.064 (d) -1.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 77 - 78.06. Let b = t + -14.04. Let u = b - -6.7. Round u to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9033.7644 rounded to the nearest one hundred?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 123004, 246008, 369012, 492016, 615020, 738024?\nAnswer: 861028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2424 (base 12) in base 4?\nAnswer: -333130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8.5 - -8. Which is the fourth biggest value? (a) -7 (b) 5 (c) k (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-14)\/(-6) - (15\/(-9) + 1). Let j be (-63)\/(-28) - h\/12. Solve t + j*t - 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 81681 = 4*c + 29686, -3*c - 148480 = -4*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/(-10) - (-2304)\/40. Let v = k - 52. What is the second derivative of -2*w**2 - 147*w + 2*w**2 + 155*w - v*w**4 wrt w?\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**1\/v*v*v*v\/(v*((v*v**(2\/3)*v)\/v)\/v)*v*v)\/(v\/v**(1\/2))**(-2\/31))\/(v**0*v**(-3\/5))**(-14\/3) assuming v is positive.\nAnswer: v**(263\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 132316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (155\/(-1085))\/((-4)\/(-14))*234\/(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 1 = 1. Let p(z) be the first derivative of -4 + 4 - z**t + 0 + 2. Let x(r) = -r**2. What is x(p(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(-3) - 91\/21. Let x = -1.21 - -0.21. Which is the nearest to x? (a) -5 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -2\/3 (b) -5 (c) 13 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of -37 and -0.59.\nAnswer: 21.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -323 - -332. Solve -p*n - n - 30 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4*7\/(-14)*(-35)\/(-28).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1481, 2, 4, -2, -19, -7 in increasing order.\nAnswer: -1481, -19, -7, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8405?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -74\/312615 and -67\/150?\nAnswer: 3126150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times -0.44?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -52 at least -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 7, w: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -38*q**2 - 54*q. Calculate u(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*z = -22*z - 856 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*r + 8 = 32. Suppose -r*i + 23 = 11. Solve -5*k + 3 = -i*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 94 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-24)\/48)\/(3\/(-72)). Solve 4*k - z = -4*w, -4*w - 9 = -5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 534.503 centimeters in millimeters?\nAnswer: 5345.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 218*q**3\/15 + 424*q**2\/15 + 194*q\/15 - 4\/5 = 0. Calculate q.\nAnswer: -1, 6\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**2 + 5*h. Let r be n(-4). Let i(b) = -3*b - 6. Let k(j) = 9*j + 21. Let a(g) = -4*g - 10. Let q(s) = 5*a(s) + 3*k(s). Determine r*q(y) - 9*i(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -439 greater than -438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (453\/3624*(-2)\/(-3))\/((-23)\/(-8))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h + 7. Let g be b(3). List the prime factors of 1\/1*(-1 + g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 3*d**2 - d**3 + 32*d + 346 + 344 - 702. Let h be q(7). Let c = -3 + 2. What is the third smallest value in -1\/3, 3, c, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the third derivative of -l**6\/60 + l**4\/4 - l**2. Let h(u) be the second derivative of o(u). Let z(t) = -1 + 28*t**2 + 1 - 30*t**2. What is z(h(q))?\nAnswer: -288*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/(-3))\/((-2)\/6). Suppose -4*m = -2*k - 18, 2*k + 177*m + 38 = 176*m. Sort 3, k, -4, b in descending order.\nAnswer: 3, b, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 626 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-11)\/(-22))\/(2 - 1). Let n = -0.32 + -25.68. Let r = n - -26.4. Which is the closest to j? (a) r (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -4*f**5 + 32*f**4 - 16*f**3 - 320*f**2 + 256*f + 1024 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 2:20 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.077 in 40\/11, -0.08, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/(-5)*1360\/(-24). Let m = 183 - v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 120*j**2 - 1083*j - 1188. Let n(a) = a**3 - 599*a**2 + 5414*a + 5944. Let l(y) = 3*n(y) + 14*o(y). Factor l(w).\nAnswer: 3*(w - 20)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 21\/19 and -79\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1422\/(-90) - -16 - (-2)\/(650\/(-365))\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 126 = -87*n - 765 + 21 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-400)\/40*(-57)\/(-95)*4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(-5\/6))**(-21)\/(y**(-3\/28))**(2\/19) assuming y is positive.\nAnswer: y**(-464\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 7, b: 3}. Give prob of picking 1 b and 1 v.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -3982584, -3982569, -3982554, -3982539, -3982524?\n\"Answer: 15*u - 3982599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 568, 4569, 15406, 36499, 71268, 123133, 195514?\n\"Answer: 570*f**3 - 2*f**2 + 17*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the second derivative of 167963*l**5\/10 + l**4\/12 + 7*l**3\/6 + 7*l**2 - 18*l. Let r be h(-3). Round r to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -5*n**2. Let p(s) = 5*s - 22. Calculate p(j(v)).\nAnswer: -25*v**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 3, 9, -0.005?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (36\/63 - -3) + 3\/7. Let 4 - 256*t - 68*t**3 - 110882*t**2 - 4 + 4*t**x + 111202*t**2 = 0. Calculate t.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 234841 is divided by 234819?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18 - 11. Suppose -3*k + 4*h = -57, -12 = -k - 4*h + l. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, -2\/161, 8359?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 175 = -3*s + 1, 0 = -2*w + s + 70. Calculate the greatest common divisor of 1332 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -2*i**3 - 45*i**2 + 44*i + 485. Let y be m(-23). Let q = -53 + 266\/5. Which is the smallest value? (a) q (b) y (c) 6\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(396) - -1*sqrt(396)) + 5)**2 - 5*((sqrt(110)*-1)\/sqrt(10) + sqrt(11)).\nAnswer: 120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23 + 95. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes before 1:00 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 3*h - 670 = -4*a, 0 = 2*a - 4*h - 344. Let j = 828\/5 - a. What is the smallest value in -3, j, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:24 AM and 6:25 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = -k + 5894 + 4082, -t + 3*k + 1992 = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399437 to the power of 1\/2, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add 0.3 and -1004.\nAnswer: -1003.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15134 + 15166. Solve 53 - b = 3*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112111 is divided by 55.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - 2 - 5 - 2 - -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -174647 - 43*c**2 + 174647.\nAnswer: -43*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 7 - 3 + 0*b - 4*b. Let l be o(5). List the prime factors of 2 + -1 + l\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -201*j = 249*j + 1491*j + 25233 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 12622180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (-3 + 1) - (-27)\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(1*sqrt(90) + sqrt(90)))\/(sqrt(81)\/sqrt(36) - sqrt(9)))\/(sqrt(12)\/(sqrt(294)*2 + sqrt(294) + sqrt(294) + sqrt(6))*4).\nAnswer: -58*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -4, 3, 1\/2 in descending order.\nAnswer: 3, 1\/2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 - 13*q - 5. Suppose 0 = g - 3 - 8. Let s be r(g). List the prime factors of (-3)\/(-2)*(-36)\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*q**(12\/11))\/(q**(2\/29)*q))\/(q**(-7)*q**(-3\/5)))**(-45) assuming q is positive.\nAnswer: q**(-123768\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2681458 rounded to the nearest ten thousand?\nAnswer: -2680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/((5400\/16)\/25).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2 + -3 + -36*1. Let i = v - -42. Suppose 2*s - i*b - 24 = 0, b - 2 = 3*s + 3*b. Solve -2*w - s*z = w + 19, 0 = -2*w + 5*z + 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5446.5 minus 1.53824?\nAnswer: -5448.03824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddsdysdsdsdsssduy. Give prob of picking 1 u, 1 s, and 1 d.\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = 236 - 233 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 12\/10*(-40)\/(-12). Let n be 3 - (-4 - -55)\/(-3). Suppose -12 = -m*w + n. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9667438769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 202.5 + -197.5. Let o be ((-50)\/4)\/5 + -1. What is the nearest to 0 in f, -2\/19, o?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3.4092 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(539) + 5 + -1.\nAnswer: 4 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -18*m**2. Let v(j) = 9*j**2. Give -4*c(t) - 9*v(t).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10782758.\nAnswer: 2, 7, 431, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -79 (b) 1\/4 (c) 4 (d) 1\/2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -25 - -24.974. What is y rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -237830 - 215866 = -7089*r for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmqqqxmx. What is prob of picking 1 q and 1 x?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 5, 153\/4, 63?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 236959345 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -45 + 48. Suppose -b - a = 0, -3*u + 18 = b - 3*b. Calculate the remainder when u is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 - f - 1. Let k(s) = -6*s**3 + 89*s**2 + 3*s + 2. Give k(z) + 3*o(z).\nAnswer: -3*z**3 + 89*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*o - 322 - 350 = -36*o + 32*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of 0*n + 9\/2*n**2 - 8. Let u(w) = -3*w**2. Calculate d(u(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3484183 and 4402.\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -4*v - 3*z + 4, 0 = 5*v - 5*z - 25. Let k be -2*1\/2*v. Let u(p) = -p - 6. Let x(o) = -1. Calculate k*u(f) + 4*x(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -66*y - 64. Does 23 divide p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6*18\/72*-4)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9585*p**2 + 10*p - 10*p.\nAnswer: 9585*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -4.23 from 6.812.\nAnswer: 11.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*-0.025.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 780 = 1395*u - 1655*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of -i**5\/20 - 5*i**4\/12 + i**2\/2 + 2*i - 1. Let t(f) be the first derivative of k(f). Is t(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 539455716?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 46020 divided by -1180\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7 and -2849.\nAnswer: -19943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 953 a factor of 356077444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*o + 0*o - 30 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3321 + 2543*x - 10131*x + 3321 - 2181*x.\nAnswer: -9769*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/1 + (-20)\/(-32). Let b = 1\/2 - 3\/4. Put i, -3, b, 1\/11 in decreasing order.\nAnswer: 1\/11, b, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 27933889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -32*w + 14. Let a(t) = -11*t + 5. Let z = 1 - -5. What is z*j(u) - 17*a(u)?\nAnswer: -5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 1 - 8*g**2 - 7*g + 1 + 16*g**2 - 9*g**2. Let i be p(-7). Differentiate 4*h**3 - 3 - 3*h**3 - 2*h**2 + 2*h**i with respect to h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 164508370 and 260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 18177 divided by 18177?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -2 - 3*v**2 - 3*v**3 + 4 - 2. Let m(s) = 3*s**3 + 3*s**2. Let f(b) = 3*i(b) + 4*m(b). Find t, given that f(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*s - 7*s - 10*s - s - s + s - 4*s + 2*s + s + (-2 + 2 + 1)*(s + 0*s - 3*s) - 4*s - 2*s + 4*s + s - 1 + 1 - 7 + 7 - s.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, h: 2, b: 1, u: 2, z: 1}. What is prob of sequence pb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + u**2 + 0)*(-10*u + 12*u + 4 + 24)*((-2 - 8 + 2)*(4 - 2 - 1) - 4 + 4 + 2) to p*u**3 + j*u + w + g*u**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 18*u + 60. Give d(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 712073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b**2 - 7*b + 6. Let i(k) = -7*k + 1. Let v be i(1). Let m be f(v). Solve -4*d + m = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rmrrrjrrjmrrrrj?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (-19 - 1 + 3)*(-1 + 1 - 1)*(-q + 6*q + 2*q) + (6*q - 3*q + 2*q)*(-2 + 3 - 2) + q - 3*q + 5*q in the form m*q + p and give m.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 66 + -67. What is the second smallest value in r, -17, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 + (2 - 2) - -2. Suppose l = -2*c + c + 3. Calculate the common denominator of -64\/9 and (0 + -7)*(-5)\/c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7*v**4 - 188*v**3 - 382*v**2 - 3*v + 60848760?\nAnswer: 28*v**3 - 564*v**2 - 764*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12202 - 10221?\nAnswer: -100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17 and -22\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r - 4*w - 188821, 134745 = 5*r - 5*w - 54070. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -39*q + 33*q + 174. Let n be (-21)\/(((-4)\/(-2))\/2). Let b = n + q. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 21155 = -5*a, 4*a - 6*b - 16938 = -4*b. Let i = a - 1771. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.006 take away 856.776566?\nAnswer: -856.770566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 124308173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 281*q - 66. Let b(d) = 46*d - 11. Let i(k) = 13*b(k) - 2*o(k). Let s(l) = -3*l**2. Give i(s(m)).\nAnswer: -108*m**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/8001 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1008 is divided by 226.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7800 and 695700?\nAnswer: 18088200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1\/1837 - -12889\/55110. Let j = 11\/10 + k. What is the smallest value in j, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 423 and 3666?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**3 - 8*s**2 - 9*s - 8. Let b be m(-7). Let l(z) be the second derivative of -z**2\/2 + 44*z. Let d(h) = 2*h - 6. What is b*l(t) - d(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -3106 at most -286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 727 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 13*g**2 + 18*g + 80. Let c(x) = 9*x**2 + 12*x + 53. Let y(o) = -7*c(o) + 5*m(o). Let d be y(-4). Which is bigger: 38 or d?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -313*k - 249. Let l be n(-1). Let x be ((-2)\/3)\/((-1)\/24). What is the greatest common factor of x and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1090723 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -494, -502, -514, -530?\n\"Answer: -2*n**2 - 2*n - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 10*m**3 - 2*m**2 + 2*m - 1. Let h be t(1). Let n = 0 + h. Suppose 0 - 68 = -8*s + 4. Calculate the greatest common factor of s and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**2 + 35*z + 158. Is k(-33) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, -1, -172.\nAnswer: -172, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -25*o. Let g(f) = 210321*f**2. Determine t(g(j)).\nAnswer: -5258025*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 2*a - 5. Suppose 5 + 15 = 2*c. Let b be o(c). Let i(p) = p + 11. Calculate the remainder when i(b) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 23*d**2 + 4*d + 73. Let y(n) = 7*n**2 + n - 2. Give t(v) - 3*y(v).\nAnswer: 2*v**2 + v + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 385119009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 909262*t**2 - 2727809*t**2 + 3*t**3 + 909268*t**2 + 909279*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2159388 and 1435.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 135 is divided by 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 323, 311, 291, 263, 227, 183, 131?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 5, s: 3, k: 4, m: 1, q: 4, w: 1}. Give prob of picking 2 m and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -572 + 578. Let d be ((-8)\/(-12))\/(1\/3). Let s(h) = -2 + 5*h + h**3 - 2*h**d + 2*h - 5*h**2. Calculate s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -46 + 18. Let p be ((-21)\/i)\/(3*(-2)\/(-40)). Solve -p*a = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 40, 72, 124, 196, 288, 400, 532?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 28267 and 1978.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1368, 11268, 38138, 90462, 176724, 305408, 484998?\nAnswer: 723978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 11815575881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 77 + -537\/7. Let t = 116242\/5 - 23249. Put m, t, 1, 1\/5 in increasing order.\nAnswer: t, 1\/5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -881*t**5 + 37*t**4 + 193989*t**2?\nAnswer: -52860*t**2 + 888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 2\/3*o**3 + 5000\/3*o - 200\/3*o**2 = 0 for o.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31 + 128 - (-1 + -9 - (-62 + 30))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(15)\/(sqrt(55)\/(sqrt(44)\/sqrt(4)))*-2 - (sqrt(18)\/sqrt(6) + 3 - (sqrt(3) + (sqrt(6)\/sqrt(8) - sqrt(3))))) + -4.\nAnswer: 11 + 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 + 1)*(-907837 - 3254*s + 907837)*(-2*s + s + 4*s)*(1 + 0 + 0) to the form a*s + w + o*s**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the first derivative of h**3 + 2. Let n(i) = 15*i. Calculate a(n(s)).\nAnswer: 675*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes before 8:37 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 714621515 and 15910?\nAnswer: 7955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 617\/2 - 308. Factor 3\/2*d**2 + 5\/2*d - 1\/2*d**3 + 1 - l*d**4.\nAnswer: -(d - 2)*(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n + n - 3*n + (2 + 3 - 4)*(2*n + 1 - 1) - 4*n + 2*n + n + 7*n - 5 + 5 - n + 0 + 0.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:36 AM and 10:05 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or 33014?\nAnswer: 33014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 368077607 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 177 + 231. Let f = 133 + 70. Let r = f - j. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -10 + 1cbdd9?\nAnswer: 1cbdc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 3*t + 193 = -2, 3*x - 197 = 4*t. Suppose -17*f - x = -12. Let k(v) = v - 2. Give k(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/2*6*4\/60\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*r - 253 = -232 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes before 7:01 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 37759040 rounded to the nearest 10000?\nAnswer: 37760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 7*o - 4*o. Let r be ((-144)\/540)\/((-6)\/(-5)). Put 0.06, r, o in descending order.\nAnswer: o, 0.06, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 42, 109, 202, 321?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-12))**16\/(r\/r**(1\/5))**(2\/81) assuming r is positive.\nAnswer: r**(-71288\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 7 + 3*r**2 + 5*r - 12*r - 5*r**2 + r**2. What is a(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + 0. Let q = -3.8 - -3.8. What is the fourth smallest value in q, o, 2\/5, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 117793 and 2788?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.5, 2, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ikni when four letters picked without replacement from {k: 1, n: 1, i: 12}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*x + 70 = 26*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 16*a - 1. Let h(s) = 30*s - 2. Let z(v) = 3*h(v) - 5*p(v). Calculate z(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -3*p**3 + 16*p**2 - 4*p + 13. Suppose 24 = 2*j + 14. What is the remainder when 49 is divided by t(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 59682, 238760, 537232, 955098?\n\"Answer: 59697*a**2 - 13*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/6)\/((24\/(-27))\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 86563048 to the power of 1\/3, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5470.562488006713 + -9.562492075713. Let g = -5461 + m. What is g rounded to 7 decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y - 3*y + y)*(104810146 - 104810146 - 17444*y).\nAnswer: 34888*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.9 - 0.8. Let g = 1.9 - -6.1. What is the closest to g in 1\/8, z, -0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-10)\/(-14)*(12 + 2 - 7). Solve a*d + x - 15 = 0, 5 = 5*d - 0*d + 3*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c + 97 - 149 = -9*k + 13*k, c - 3*k = -1 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1)\/1)\/(2\/(-4)). Suppose 2*u - 4*u = l*b - 68, 3*b = -u + 96. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11459646 and 372?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 5, a: 2, c: 2}. What is prob of picking 3 t and 1 c?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3\/5 - 66542*z**2\/5 + 110649350*z + 3875988494\/5.\nAnswer: 2*(z - 16639)**2*(z + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqk when three letters picked without replacement from {q: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 145, 1534, 4, -2, 3, -1 in descending order.\nAnswer: 1534, 145, 4, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, a: 1}. What is prob of sequence ia?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1763 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1182 - -1194. What is the remainder when 164 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 859 - 59546?\nAnswer: -58687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-6)*t*t)\/t**(1\/2)*t**(-2\/5)\/(t*t**(2\/9))*((t**(4\/3)\/t)\/t**(-1))\/(t*t\/t**0)**(-7\/9) assuming t is positive.\nAnswer: t**(-97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11 and 25919333?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45494.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (c**2 + 0*c**2 - 3*c**2)*(-2 + 6 + 0) + 33*c**2 - 169*c**2 - 149*c**2 + 2*c + 2*c**2 - 2*c.\nAnswer: -291*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.127*-0.06.\nAnswer: 0.00762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 27, 33, 49, 81, 135, 217, 333, 489?\n\"Answer: n**3 - n**2 + 2*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-14*f**3 - 7*f**3 + 3*f**3)*(1 + 2*f + 0*f - 4) as z*f**2 + n*f**3 + o*f + i*f**4 + k and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(2 + 27\/(-13)). Let h = r - -24. Let a(s) = -s**3 - 8*s**2 + 21*s + 21. Calculate the smallest common multiple of h and a(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/(-4))\/((2\/4)\/(1\/(-2)))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 49928928 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 3*n**3 - 12*n**2 + n + 1. Let q be c(4). Suppose 5*f - 16 - 14 = 0. Suppose -3*t + 5*t = f. Put 0, q, t in descending order.\nAnswer: q, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -49 by 41.\nAnswer: -49\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (5 - 23 - -67) + -14?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in five eighths of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in -8, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -11*w**2 + 13*w + 160. Let b(y) = -7*y**2 + 9*y + 106. Let x(n) = 8*b(n) - 5*q(n). Let l be x(-4). Solve h + 14 = 3*u, 2*h - h = -l*u + 21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 - 1. Suppose -3*g + 12 = -0*g. Suppose 4*i - 3 = l + 1, 2*l + g*i - 4 = 0. Solve -4*k + l - m = -o, -5 = -k - 5*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*d**3 + 141854*d - 47287*d - 47282*d - 47285*d.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 36754 divided by -799?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 9 = -6*u. Let a(y) = 0*y + 4 + y - u*y + 6*y. What are the prime factors of a(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 2541, 2550, 2573, 2616, 2685, 2786?\n\"Answer: v**3 + v**2 - v + 2540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(-2)*(-4)\/3. Let l = -58 + 58.4. What is the closest to g in 5, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dxddxdd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 0*w**2 + 5 - 3*w**2 - 2*w**2 wrt w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 23, -18658, 2, 0, -4 in decreasing order.\nAnswer: 23, 2, 0, -3, -4, -18658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -397 = 6*a - 397. Suppose 96*i - 97*i + 787 = a. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 57 = -6*r. Let v = 21 - r. Let n be 39\/v*(-80)\/12. Round n to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 36, 1\/3, 0.1, -34899?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -535*q. Let a(m) = 15*m**2 + 5*m. Determine a(d(l)).\nAnswer: 4293375*l**2 - 2675*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 = 3*g + 3*a - 400, 0 = -5*g + 4*a + 553. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 0.064, -0.0159, 36 in decreasing order.\nAnswer: 36, 2, 0.064, -0.0159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of -d**4\/12 - 25*d**3\/6 + 5*d**2\/2 + 8*d. What is the units digit of l(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14112300 rounded to the nearest ten thousand?\nAnswer: -14110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -10 - (-75 - -86)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 305 and 46315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 0 = -p, -2*v + 4*p = -46. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the second derivative of -105\/4*l**5 + 6*l**2 + 0 - 115\/4*l**4 + 17*l - 4*l**3. What is w in o(w) = 0?\nAnswer: -2\/5, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of -v**9\/1008 - v**5\/40 + 2*v**3\/3 + 4. Let f(y) be the third derivative of h(y). What is the second derivative of f(u) wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 not equal to -80.226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -28919*p - 156804 wrt p?\nAnswer: -28919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16257042 and 73156689.\nAnswer: 146313378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/18 and ((-68)\/(-24))\/(1\/((-30)\/22)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -144043 (base 5) to base 8.\nAnswer: -14004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -97*m - 138. What is i(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 13, c: 1, s: 3}?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (-2 + 3 - (-1 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 8415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -1537*j**2 + 381217*j - 1 - 381217*j + 3 in the form w*j + l + r*j**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 4:43 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1388, 2778, 4168, 5558, 6948?\nAnswer: 8338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 970113?\nAnswer: 3, 323371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(78)\/((-1*sqrt(36))\/sqrt(6)) + -4 + 0.\nAnswer: -4 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -1860*z - 66874. Calculate h(-36).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 3*a - 7. Let w be (-8)\/(-28) - (-37)\/(-7). Let j(v) be the third derivative of v**4\/12 - 2*v**3\/3 + 4*v**2. Determine w*j(i) + 3*g(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 59, -0.4 in descending order.\nAnswer: 59, 5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the third derivative of o**5\/15 - 31*o**4\/3 + 1922*o**3\/3 - o**2 - 15. Determine p, given that c(p) = 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 89811309\/1886 + -47620. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 80*u**3 + 284*u**2 + 288*u + 80. Let a(l) = -73*l**3 - 284*l**2 - 289*l - 72. Let i(v) = 2*a(v) + 3*p(v). Factor i(k).\nAnswer: 2*(k + 1)**2*(47*k + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 - -4. Let g be ((-4)\/5)\/(s\/(-10)). Let z be 3 + -5 + (1 - g). Solve 2*n = -10, -z*n = -2*y + n + 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 14 = -9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -624, -2012, -4164, -7080?\n\"Answer: -382*y**2 - 242*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 875 and -237404.\nAnswer: -207728500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -23231 - 3?\nAnswer: -23234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*i - 3*i + 80 = 0. Suppose -2*y + 32 = o, -2*o + 5*o + y = 86. Let a = i + o. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 448776683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -4*n + 3*r - 4*r, -2*r - 8 = -n. Let j be (-26)\/60 - (-2)\/(-5). Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y + 3. Let m be v(-3). Suppose m*j = -j + 2. Let w(x) = -2*x - 3. Let g be w(-8). Solve 3*n = j*a - g, -a - 11 = n + n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 5, j: 2, q: 2, w: 7, b: 1, a: 3}. What is prob of sequence hh?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -551 divided by -1.\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-26 - (-21 - -7)) + 10 + 19\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1811566 (base 10) in base 4?\nAnswer: 12322101232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(4 + sqrt(304) + sqrt(304)*1)*4 - 3*sqrt(304)*-2*1*1)**2.\nAnswer: 256*sqrt(19) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -188735, -4, 1\/3 in decreasing order.\nAnswer: 1\/3, -4, -188735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-30)\/(-54))\/(11\/(330\/75))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6722 - -17635. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 355445 is divided by 637?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -19 * -134.\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be (6\/9)\/((-18)\/(-405)). Is 15 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9719\/2 + -4859. What is the third biggest value in a, 1, 176?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, h: 5, w: 1, g: 6, k: 1}. What is prob of sequence hyk?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the third derivative of s**3 - 8*s**2 + 0 - 1\/24*s**4 + 0*s. Calculate o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-146)\/(-3) + -3*4\/18. Find the first derivative of l + 30*l - 6*l + 19*l - w wrt l.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v + 2 = 10*v. Suppose a - v = 5. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 1 + 25*g**2 - 4*g + 3*g - 7*g**2 + 37*g**2. Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 254 - 179. Suppose 5*h = 5*n + i, 0 = 4*h - 0*n - n - 60. Suppose -28*p + 9 = -27*p. What is the remainder when h is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**3 - 5*g**2 + 7*g + 1. Calculate d(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 0 - 9*o**2 + 15*o + 10*o**2 + 14. Let j = -1 - 19. What is the units digit of z(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 97 - 96. Let h = -6.82 + -0.18. Let z = h - -12. Which is the closest to p? (a) z (b) 2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2\/(348\/(-117) - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -971*k**5 + 44*k**2 - 25 wrt k.\nAnswer: -58260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 21 + 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 0*m - 85 = 0. Let g = -2 + 5. Let l = 54 - g. Calculate the highest common divisor of m and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14.795 - 2?\nAnswer: 12.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the third derivative of 5*w**4\/8 - 2*w**2. Let l(k) = k**2. Calculate t(l(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 127.2 + -127. Which is the third smallest value? (a) 2 (b) 0.3 (c) r (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**3 + 9*p**2 + 10*p - 2. Let w be b(10). Let y(l) = -13*l - 1. What is the remainder when 47 is divided by y(w)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 187088 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -437538438.98 - -0.09.\nAnswer: -437538438.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of -103*h**5\/6 + 577*h**3\/3 - 1539*h**2. What is the first derivative of m(f) wrt f?\nAnswer: -2060*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/75)\/((-24)\/(-40))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4509 in -2, 3, 5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -203495105*m**2*n + 22160189*m**2 wrt n?\nAnswer: -203495105*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-25*u + 38*u + 29*u)*(2*u**3 + 0*u**3 - 5*u**3) + 1971 - 105*u**4 - 1971.\nAnswer: -231*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -105 + 99 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-5*(-37 - 14333\/(-385)))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2764899 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16720456 and 68716.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*x, 24335*x + 20 = -2*a + 24339*x for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -54.1 - -12.1. Let j = n - -173. Let p = 129 - j. Is 3.8 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 - 12. Let y = 1.3 + l. Let f = 2\/15 + -1\/3. Put y, -5, f in descending order.\nAnswer: y, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.07665 and -0.41?\nAnswer: 0.48665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 33 or 191\/6?\nAnswer: 191\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-12)\/8 + 498\/4. Let x = -62 + r. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g + z + 8 = 0, g = -3*z - 11 + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7387.99999597 - -7388. Round a to 7 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**5\/q**8*(q**(-3\/5)*q*q)\/q**(-3\/2) assuming q is positive.\nAnswer: q**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 129 + -83. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -36841000 rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13428 is divided by 789?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -117\/52024 and -15\/4734184.\nAnswer: 4734184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/80 and -23\/26420.\nAnswer: 105680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -27 - -22. Let i be 3*(10\/(-3))\/m. Solve -i - 18 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 99 divide 724936212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (56\/(-468))\/((-76)\/12312*-6).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.4, -9, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of -14\/3*y**3 + 3 - 7*y**2 - y**4 - 4*y. Suppose m(t) = 0. Calculate t.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/8, 0.08, 1613715 in descending order.\nAnswer: 1613715, 0.08, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 0*d + 23 - 6*d**2 + 8*d + d**3 - 18*d. What are the prime factors of s(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -497*b + 4 - 284*b - 4 + 0 to the form r*b + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 19 = 5*s, 10*n = -3*s + 5*n - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 11, -0.1, -4, 0.52, -1\/5, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the first derivative of 1\/40*a**5 + 5 + 0*a + 0*a**2 + 1\/360*a**6 - 1\/3*a**3 + 1\/24*a**4. Let z(p) be the third derivative of y(p). Determine z(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u**3 - 4*u**3 + 4*u**3)*(-2 + 4 - 3) + 4*u**3 - 6*u**3 + 4*u**3 + 18 + 5*u**3 + 4*u + 11*u**3 - 19*u**3.\nAnswer: 2*u**3 + 4*u + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 434132.1cm?\nAnswer: 4.341321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 106 is divided by 63?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 1775.602um to millimeters.\nAnswer: 1.775602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 4, 34, 2 in decreasing order.\nAnswer: 34, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + -11 - 2 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 9:45 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes before 1:31 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from {c: 4, f: 2, r: 1, k: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 23 + -22. Let r = -91 + 95. Which is the fourth biggest value? (a) r (b) v (c) -0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**3 + c**2 - c + 1. Let z(y) be the third derivative of 0*y + 1\/20*y**6 - 5\/24*y**4 + 5\/6*y**3 + 1\/20*y**5 + 0 - y**2. Calculate 5*p(o) - z(o).\nAnswer: -o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 8 * -14.02211\nAnswer: -112.17688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from trttgoogttrt. What is prob of picking 1 r, 1 o, and 1 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6927 in 1\/3, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**2 + 2*t - 1. Let z be a(-5). Suppose -6 - z = 5*h. Is 18 a factor of 9\/h*1*-24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhjxgsg. Give prob of picking 1 h and 1 g.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0 - 26 - (132 - 133)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**3 + 842334*g**2 - 88690399776*g - 88691242112.\nAnswer: -2*(g - 210584)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**2 - 3*w - 2. Let g(f) = -2*f**2 - 4*f - 3. Let v(s) = -4*g(s) + 6*n(s). Let o be v(2). Solve p + 5 + o = -3*d, p = d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1100122400 (base 5) to base 15\nAnswer: -315ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s - 4. Let h be 0\/2 + 50\/5. Let z be y(h). What is the first derivative of 0*t - z*t**3 + 0*t - 2 + 6 wrt t?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 24*h**3 + 4*h**2 - 2*h - 4. Let c(x) = x**3 + x**2 - 1. Calculate -4*c(g) + r(g).\nAnswer: 20*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 2176264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x**2 - 2*x**2 - 20*x**3 + 1870 - 1871.\nAnswer: -20*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (27\/(-9))\/((-6)\/(-129)) - ((-928)\/64 + 18)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 42 or -0.1?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 3*l - 224 = 0, 3*y = -y + 4*l + 224. Suppose 0 = -i - 3*d + 5, 5*d = -i - 0*i + 3. What is the greatest common divisor of i and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p - 11*p = -34. Let c(g) = 3*g + 29. Let f be c(-10). Let a be f\/(((-3)\/(-561))\/(-1)). Calculate the greatest common factor of p and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**3 + 64*j**2 + 30*j - 84. What is the remainder when g(63) is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -20 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -4*v + 4. Let w be 2*(-2)\/4 + -4. Does 12 divide x(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*u - 14*u = 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -2*h**2. Let a(c) be the third derivative of -5*c**4\/24 - c**3\/3 + 151*c**2 + c. Give a(r(v)).\nAnswer: 10*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1801 - 1196. Let j = -1800.6025 - -1195.5696. Let a = j + f. What is a rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45082064?\nAnswer: 2, 2817629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 2*f**2 - 2*f - 1. Let n(h) = -22*h**2 + 19*h + 5. What is 4*b(y) + n(y)?\nAnswer: -14*y**2 + 11*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 31481+1.97051\nAnswer: 31482.97051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/5 not equal to 3562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(300)*1*6)\/(sqrt(6) + (sqrt(6) + sqrt(24))*-3) + 2 + sqrt(800) + -2 + -3)*1.\nAnswer: -3 + 65*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/19 (b) 1\/2 (c) 0.2 (d) 2 (e) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 726 + -690. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*k - 51*d - 1071, -24*k - 2*d - 42 = -22*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15 - 11. Let y be -4 - (3 - 8 - 9). Factor -4*v - 5*v**3 - 2*v**3 - y*v**2 + 6*v**5 - 4*v**5 + v**3 + 2*v**s.\nAnswer: 2*v*(v - 2)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 3*c, 0*u = -2*u - 4*c + 34. Suppose u = x + 2*x. Let q = -7 + x. Solve -q*y + 2*b = 6*b + 16, 4*b + 12 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -248669, -248671, -248673?\n\"Answer: -2*k - 248667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3180059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sbs when three letters picked without replacement from sssppspspbpspssfbw.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w\/(w\/w**6)))\/(w**(-2\/7)\/w*w))\/(w*w**(3\/4)*w*w*w*w*w\/w**(-4\/9)*w*w*w)*(w\/w**(-1\/6)*(w*w**(-2)*w)\/w)\/(w**(-1))**(-46) assuming w is positive.\nAnswer: w**(-15307\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37 - 15 - 10 - 12 + 11*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-3\/11)*u*u**(16\/3))\/((u*u**(16\/3)*u)\/(u\/(u**(-17)*u))))**47 assuming u is positive.\nAnswer: u**(8131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -17*d - 438. Let r be w(-26). Let h be ((-1)\/(-2))\/((-2)\/(-8)). Suppose 116 = r*a - h*a. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, j: 7, s: 2, b: 3, m: 1, e: 3}. Give prob of sequence sb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*r - 31*r = 39912. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1 + -26)\/5 + (-22)\/(-4))*(29 + -37).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -9*r**2. Let b(q) be the third derivative of q**8\/10080 + q**5\/20 - q**2. Let s(n) be the third derivative of b(n). What is h(s(a))?\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/15 (c) 0.3 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1477*455\/111240 + 20\/(-5). Let j = 27\/824 + h. Let m = 29148 + -961801\/33. Calculate the common denominator of m and j.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 337*p - 7. Suppose 3*g = 5*k - 19, 2*k + 4*g = g - 5. What are the prime factors of o(k)?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + (-5 - (1 - 1) - -10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 5, o: 1, r: 7}. What is prob of picking 2 p and 1 r?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 541845.15 hours in weeks?\nAnswer: 3225.26875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-2))\/(17\/(-34))*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 304263 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 5 - 2)*(-7*g**3 - g**3 - 5*g**3).\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 - 9*m**2 - 16*m - 3. Let t = -5212 - -5205. Calculate k(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.2? (a) 14 (b) -8 (c) -3 (d) -0.1 (e) -21 (f) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(304) - (1*sqrt(304) + 4 + sqrt(304))) + sqrt(304) + 2*(-2 + sqrt(304)))*4 + -4 + -4)**2.\nAnswer: -2560*sqrt(19) + 21056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2 or 1.642295?\nAnswer: 1.642295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0 (b) -1\/4 (c) 2 (d) 6 (e) 2942\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -22*v**2 + 24*v + 53. Calculate o(-4).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 110*a*c*n**2 + 27*a*c*n + 8*a*n**2 - 86*c*n**2 - 7*c*n + 28 wrt a?\nAnswer: 110*c*n**2 + 27*c*n + 8*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (6\/9)\/((-86)\/(-903)). Solve 0 = m*h - 4*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7241713 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2127?\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 2 = -0*u + 2*x, u + 2 = -2*x. Suppose 2*g = 0, -4*n + u*g - 20 = -4*g. Let f be 5 - ((-9)\/(-3) - 1). Sort n, f, 5 in increasing order.\nAnswer: n, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10175, 265, -0.1, 0.1, 3 in decreasing order.\nAnswer: 265, 3, 0.1, -0.1, -10175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 52*x**3 - 3*x**2 - 3. Let m(o) = 1144*o**3 - 65*o**2 - 65. Give -3*m(b) + 65*p(b).\nAnswer: -52*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 3.46, 0.4, 1\/10, -30, -23 in descending order.\nAnswer: 3.46, 0.5, 0.4, 1\/10, -23, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-31 - -30)\/((-1)\/3). Solve -4*o + 18 = -r, 0 = -o + 2*r + 2*r - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tv when two letters picked without replacement from tvvvvvvvtvvvvvvvvvv?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 10 = -0. Suppose i - b - 7 = 0, 16 = 2*i - 5*b + j. Suppose -5*z + i = -8. Put z, 0, -1 in decreasing order.\nAnswer: z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3596 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -2910 + 3*k**2 - k + 1454 + 2*k**4 + 1446 + 4*k**4 as j*k**3 + f*k**4 + s*k + m*k**2 + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.2 - -0.3. Suppose 0 = 4*a - 12, -75 + 129 = 15*h + 3*a. Sort h, -2, r, 0 in ascending order.\nAnswer: -2, 0, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the third derivative of -o**4\/3 + 4*o**3\/3 - 17*o**2. Is 11 a factor of s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b - 8. Let p be o(5). Let d be p*(-1)\/(-3) + 35. Let k = d + -32. Let t(i) = -i**2. Determine t(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -2*p**2 - 49*p - 70. Determine q(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 1538*h - 1535*h - 6921. Suppose -m = 2*m - 2*b - 2317, -h = -3*m - 3*b. List the prime factors of m.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dd when two letters picked without replacement from dddrddrdddd?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.4 in 0, -0.2, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 3*s. Let r be l(6). Let h be (-11)\/(396\/(-1284)) - 2\/(-6). Calculate the highest common factor of r and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 48 = -11*v + 81 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -73 + 60 + 20 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -203 - -1831\/9. Let x = 7\/9 - b. Let j = -168 - -1510\/9. What is the second biggest value in 2\/17, j, x?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9105 = -3*h + 2*c, -534*h + 531*h + c = -9099. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1006672750.\nAnswer: 2, 5, 59, 139, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -228 (b) 3 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b**3 - b**2 + b - 1. Let p(x) = -18*x**2 + 25*x**2 - 5*x + 3*x**3 + 8 - 1. Let q(y) = 2*f(y) + p(y). What is q(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -2*g + 4. Suppose g*k = -0*k + 120. What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 112 a factor of 66216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-16)*(-6)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 57923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w - 6. Let o be z(6). Suppose -270 = -o*b - 3*b. Let q(l) = 262*l + 14470. Let u be q(-55). What is the highest common factor of u and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -49.9 - -52.952. Let d = 2376 + -2375.948. Let f = d - q. Which is the nearest to f? (a) 2\/9 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 20*y - 2 + 0 - 2 - 5*y - 4*y. Let s be (-1 - 1) + (2 - -1). Let g be -13*(-1 - -2)*s. Let n(q) = 5*q - 2. Calculate g*n(l) + 6*c(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 79968 = 25*i - 147203. What is the greatest common factor of i and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d\/(d\/d**(-9))*d))\/d**(11\/2)*(d\/(d*d**(2\/23)))\/(d*d**(-3\/8)))**38 assuming d is positive.\nAnswer: d**(9747\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y**2 - 2*y**2 - 2*y**2)*(-8 + 8 - 2*y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - (3 - (-3 - -9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/5 of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4543681*n**3*r**2 - 6*n**3*r + 11921*n**2*r + n**2 - n*r + 2*r wrt r.\nAnswer: 9087362*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1465238984.\nAnswer: 2, 11, 16650443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes after 8:42 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 - 13 = 10*f. Solve 4*m + f = 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 391420 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 502141 is divided by 4306.\nAnswer: 2645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 - -34) + -26 - (-4 + 4 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/11 and 29\/3152.\nAnswer: 34672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1150350972 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tsqgaaoggogt. Give prob of picking 1 q and 1 g.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3431 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s - 2. Let x be g(0). Let k(h) = -h**2 - 1 - h - 2 - 2*h. What is k(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 + 6\/(-1 - 1\/(-3)). Let a = 37 + f. Suppose 32*j - a*j = 212. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 345, 821, 1311, 1821, 2357, 2925?\n\"Answer: g**3 + g**2 + 466*g - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 9\/280 (b) -489 (c) -0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l**2 - 6954112*l - 6044959213568 = 0. Calculate l.\nAnswer: -1738528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add together 2309 and -45.41048089.\nAnswer: 2263.58951911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 - 6. Let r = 808089.0000032 - 808087. Let t = r - z. Round t to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 79788225 and 510.\nAnswer: 159576450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -14917, 5, -4 in ascending order.\nAnswer: -14917, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 719047727.\nAnswer: 719047727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 179459690.\nAnswer: 2, 5, 181, 99149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/4 + (-36)\/(-24). Let z(i) = -3*i**k - i**2 - i**2 - i**2. Let t(p) = -p. Let s(a) = -2*a. Let y(u) = -s(u) + 4*t(u). Calculate y(z(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from ammrxmmamaaalaax.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 2617*l + 8. Let y(s) = s - 2. Determine g(a) + 5*y(a).\nAnswer: 2622*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.6, -1\/6, -660?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 22*m - 18*m. Solve -m*j + 3*n - 14 = 0, 4 = -4*j + 4*n - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -60416, -60654, -60894, -61136, -61380, -61626, -61874?\n\"Answer: -m**2 - 235*m - 60180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 326451?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 4*i = -2*i. Suppose i = 7*r + 12 - 26. Suppose -2*j + 14 = -2*g, 4*j + g + 2*g = 0. Solve 0 = j*x + r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -21.75 - -22. Let d = -0.55 + i. Put d, 2\/11, 0.1 in increasing order.\nAnswer: d, 0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z + z - 199 = -207, 2 = -3*w - 2*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 3*a - 13 = 0, 2*a = a - 5. Let k(n) = 133*n + 5634. Calculate the lowest common multiple of c and k(-42).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*y - 11*y - 2*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -90093 or -90091?\nAnswer: -90093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -49*y**2 - 41*y + 42. What is z(2)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -379623*t - 6 + 379631*t - 5.\nAnswer: 8*t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 222*b - 14427. Let q be g(65). Solve 5*v - 21 + 56 = 5*w, 0 = q*v + 2*w + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27389857 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 27425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/2 or 991952?\nAnswer: 991952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of -21*i**4\/2 + 49*i**3\/3 + 94. What is the third derivative of l(m) wrt m?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 577323 - 156880. Let b = 420419.99945 - p. Let r = b + 23. What is r rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - q - 15 = 0, -q = 5*t + 4*q - 45 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -243, 2, 4, 3, 275, -5 in increasing order.\nAnswer: -243, -5, 0, 2, 3, 4, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00490670643 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 118205349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3465 + 3515 = -5*m - 5*i, -m + 4*i = -60 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) 0.5 (c) -2\/9 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -20 - -34. Let d = -9 + g. Suppose d*q - q - 80 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8566 - 8618. Which is the third biggest value? (a) d (b) -12 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -9 + -133 + 135 - (1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50457 is divided by 113?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rurrreurerrr. What is prob of picking 3 e and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*f = 27*f - 8. Suppose 3*p + 0*p + 5*d = 15, 5*p + f*d - 25 = 0. Put -4, 3, p in descending order.\nAnswer: p, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the third derivative of v**7\/30 - 13*v**5\/4 + v**4\/24 + 6*v**3 - 3589*v**2. Differentiate o(q) with respect to q.\nAnswer: 28*q**3 - 390*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/3*4*-9. Let o = 5308 + -53001\/10. Find the common denominator of 430\/k - (-3)\/(-12) and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**2 - y. Let r be m(3). Let g = -3 - r. Suppose -6*v = -3*v - g. Solve 4*x - v*l + 9 = 3*x, 22 = -4*x + 5*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -37 in -5, 0.3, -124.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let i = -4 - -14. Calculate the greatest common factor of i and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 734 + -73. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -1094*j. Let t(s) = -185*s**2 + 36*s. Calculate t(u(p)).\nAnswer: -221414660*p**2 - 39384*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -372 - -578. Suppose -52*a + 54 = -r. Solve 2*q = -3*q + 4*k - 13, 5*q = a*k - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0872 times 4\nAnswer: 0.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8.43 and -22.\nAnswer: -185.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b + y = 8, 2*b = 3*b - 3*y + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -13481 - -19570. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the third derivative of 0*g + 0*g**5 + 3*g**2 + 2\/3*g**3 - 1\/120*g**6 + 0*g**4 + 0. Differentiate c(b) wrt b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2405897 is divided by 982.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 80*u. Let f(s) = -78*s**2 - 2. What is f(v(k))?\nAnswer: -499200*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y**2 - 4*y. Let r be x(-4). Suppose r = -i - q - 13, -5*q - 4 = -i + 13. Let b(l) = -3*l - 72. Let v be b(-22). Which is greater: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 5*-0.1416\nAnswer: -0.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6061\/5 + 1212. Let u = 6\/37 + 56\/111. Which is the nearest to -2? (a) u (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1045, 5, 220?\nAnswer: 1045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 111 + 15 + (91 - 162)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 20*g + 6615 = -10*g. Calculate the greatest common divisor of 196 and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 55235028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.6596 - -0.0894. Round i to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5)\/5*(-12)\/4*(-567)\/(-49). Factor -27*c + f - 51\/7*c**2 - 3\/7*c**3.\nAnswer: -3*(c - 1)*(c + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*j + 27*j + 4 = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 21515900 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -20*m**2 + 3*m - 20. Let i(u) = -u**2 - u - 1. Let s(p) = 3*i(p) + x(p). What is the first derivative of s(a) wrt a?\nAnswer: -46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = g - 4*i + 5, 0 = 5*g - 4*i - 4. Suppose 3*q - 3 = g*q. Which is greater: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1))**(2\/95)\/(p**5\/(p\/(p*p**(-7)))))**(-32) assuming p is positive.\nAnswer: p**(-6016\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76)\/((4*sqrt(20))\/sqrt(5)) - ((-4*(sqrt(19) + -1))**2 - (1*sqrt(95))\/sqrt(5)))*-3.\nAnswer: -399*sqrt(19)\/4 + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -464*u**2 - 7*u**3 + 8*u**3 + 2 - 861*u**2 to the form g*u**3 + v*u**2 + j*u + p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 47, 36, 27, 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -2*r + 39, r - 5*h + 878 = 890. Calculate the remainder when 544 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1085036.067 rounded to the nearest 100?\nAnswer: 1085000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-10 + 4)*(-9)\/6*1. Suppose p*f + 16 = 13*f. Solve -f*z - 9 = -j, -j = 4*j - 2*z - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the second derivative of n**8\/560 + 2*n**7\/175 - 3*n**6\/50 + 247*n**2\/2 - 21*n - 1. Let f(q) be the first derivative of o(q). Factor f(w).\nAnswer: 3*w**3*(w - 2)*(w + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -154, -143, -156, -205, -302, -459, -688?\n\"Answer: -2*b**3 + 25*b - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 30\/7 + -6 + 160\/28. Suppose z*w - 294 + 58 = 0. Suppose 40 = 3*k + 2*i, -w = -4*k - 2*i + 5*i. Calculate the greatest common divisor of 21 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90 = -6*k + 3*k + 8*k. What is the remainder when -1 + 0 - (-62 + 3) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 343352726 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ko when two letters picked without replacement from {k: 3, u: 2, t: 6, r: 6, o: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1011 - -10011001?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 438908802 to the power of 1\/3, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 - -2 - (-2)\/(-6). Which is the smallest value? (a) o (b) -2\/3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -21322200 - 10?\nAnswer: -21322210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*j + 20*j + 6*j + 0*j - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/144)\/((-125)\/(-16) - (32 + -24))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 36, 113, 7, -2, -7 in ascending order.\nAnswer: -7, -2, 7, 36, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of -c**7\/42 + 2*c**6\/15 + 31*c**5\/20 - 35*c**4\/6 - 42*c + 4. Factor d(y).\nAnswer: -y**2*(y - 7)*(y - 2)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:40 AM and 9:36 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0006341 to five decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3033*l**3 + 2473*l**2 wrt l?\nAnswer: 18198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 354 is divided by 159.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 227*m**2 - m - 2. Let o be h(-1). Suppose 3*v - 3*z = 321 + 27, -2*v + o = z. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3859 + 6228. Let m = -1254 + j. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 838 is divided by 405?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*q**5*t - 7*q**4 + 21*q**2*t - 3*q*t + 3*q + 1280*t - 2 wrt q?\nAnswer: -60*q**3*t - 84*q**2 + 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 10*a + 2*a - 23*a + 13*a. Let x be ((-8)\/10)\/((-2)\/5). Let h(j) = 0*j**x + j**2 + 5*j**2. Give h(s(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1, 0, -7 in decreasing order.\nAnswer: 1, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -18\/521 (b) -2\/3 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b + 5*b + 18. Let g(k) = -599*k - 42. Let u(r) = 659*r + 47. Let o(x) = 11*g(x) + 10*u(x). Calculate o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5861602 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(1\/4)*c)**(-19)*c\/(c\/(c**(2\/7)\/c))*c**3)\/(c\/(c\/((c\/c**0)\/c))*c**4*c**(-4\/9)*((c*c\/(c*c**4))\/c)\/c*c*c) assuming c is positive.\nAnswer: c**(-10337\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -880*n + 1585 - 32388 = -168*n + 8357 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-14)*(f*f*f*f**(1\/4)*f*f)\/f)**8 assuming f is positive.\nAnswer: f**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 64072202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s + 721 = 686. Suppose -5*p = -3*r + 660, -146 = -s*r + p + 976. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1276 (base 15) in base 3?\nAnswer: -12101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the third derivative of -39*r**4\/8 + 47*r**2. Let s(j) = -j**2. What is s(q(w))?\nAnswer: -13689*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 40045.5767 rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 2 b when three letters picked without replacement from {w: 4, b: 6, n: 3}?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -66055, -66057, -66059, -66061, -66063?\nAnswer: -66065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -2*k - 1. Let c(g) = 96*g**2 - 87*g + 6. Let p(v) = -c(v) - 6*t(v). Find the second derivative of p(w) wrt w.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -844a5 + -1?\nAnswer: -844a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2662 + -369. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - 0 - (-14 + (-66 + 70 - (2 + 41))).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 1565451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 256141471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 136930184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -112 (base 8) in base 10?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12363 + 12366. Solve -35 = -4*u - d*g, -2*u + 18*g - 17*g = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*d**2 - 10*d - 40.\nAnswer: 5*(d - 4)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-12)\/(-9)*(1 + -10). Let i(m) = m**3 + 12*m**2 + 6*m - 3. Let r be i(g). Let v = 129 + r. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**3 - 7*f**2 + 617*f - 3641. What is h(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -12 by 10098.\nAnswer: -2\/1683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -69716 divided by 6?\nAnswer: -34858\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/5*i**2 + 0 + 1\/5*i.\nAnswer: -i*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*r**2 - r**2 + r**2 - r**2 + r**2 + r**2 - 4*r**2 + 3*r**2 + 3*r**2 + (-3 + 0 + 1)*(0 + 0 - 2*r**2) + (20*r + 12*r - 11*r)*(12 - 3*r - 12).\nAnswer: -58*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*g**2 + 0*g**2 - 1 - 2*g**2)*(-8 + 9 + 0*g**3 + 2*g**3).\nAnswer: 4*g**5 - 2*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -3 (b) 0.5 (c) -130 (d) -5 (e) 0.243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*o**3 - 5*o**3 - o**3 + (0*o + 11*o - o)*(4*o**2 - 2*o**2 - 3*o**2).\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -4, 554 in descending order.\nAnswer: 554, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 476636805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31156238 - r**2 + 31156238.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**3 + 4*g**2 + 4. Let p(l) = l**3 + 19*l**2 + 17*l - 25. Let z be p(-18). Let i(a) = -a**3 + 7*a**2 + 7. Determine z*s(q) + 4*i(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0\/(-2))\/(1 - 3). Let j be (8\/16)\/(2*(-2)\/(-136)). Solve h = 2*n - n + 4*p - j, n - 2 = -p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5479 - 5462. Solve 3*v - t = -5*j + 6*v, -12 = 3*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -16 - -18. What is the derivative of -8*k**y + 12 + 2*k**2 - k**2 wrt k?\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the first derivative of -8*s**3\/3 + 2. Let b(i) = 2*i**2 - 1187*i + 1187*i. Calculate w(b(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 1468 = -5*k, 17*k + 5*q - 1171 = 13*k. Which is bigger: k or 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*x**4 + 6*x**3 + x**4 - 1 + x**2 - 13*x**3 + 6*x**3 + 0*x**4 as i*x**2 + r*x**4 + w*x**3 + s*x + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f + 1. Let d(p) = -p**2 - 9*p - 12. Let b be -2 - (8\/(-36) + (-33)\/(-27)). Let m(j) = b*d(j) - 6*w(j). Factor m(r).\nAnswer: 3*(r + 2)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000004265 to 7 dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - f = -49, 0 = -w + 5*f - f + 2. Let z be 146252\/w*(-15)\/20. Let k = z + -6076. Calculate the common denominator of k and 51\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5*1223\nAnswer: -611.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of p**3*t**3 + 2*p**3 + 736*p**2*t**3 - 349*p**2 + 1 wrt t?\nAnswer: 3*p**3*t**2 + 2208*p**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 1\/2, -40, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/4? (a) -37 (b) -0.2 (c) -23 (d) 0.2 (e) -3 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 - ((-3)\/3 + 0). Suppose y = -5*j - 3*d + 209, -5*j + d + 2*d + 191 = 0. Let g = j - 24. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5.051085 to 1 dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 102805.1 rounded to the nearest 1000?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38640312.\nAnswer: 2, 3, 536671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(2\/25)*r)**(14\/5)*(r**(-1\/10))**(16\/5) assuming r is positive.\nAnswer: r**(338\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(153) - 1*(sqrt(153) + 0) - sqrt(153)) + 0 + sqrt(153) + 0 + sqrt(153))*-5)**2.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 63*r + 8 - 9 - 2413*r.\nAnswer: -2350*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 344*a + 12. Let i be z(9). Suppose -4*d = 4*o - i, -d + 239 = -o + 1026. Round o to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -6120 divided by -6\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(8208) + (sqrt(57) + sqrt(1425) + sqrt(57) - sqrt(57))*-5)\/(-3*sqrt(432)*4*3).\nAnswer: -sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19389.\nAnswer: 3, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -616*z**2 + z + 1761. Let m(l) = -1225*l**2 + 2*l + 3523. Let x(j) = -11*a(j) + 6*m(j). Find the first derivative of x(u) wrt u.\nAnswer: -1148*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -9 and -11346?\nAnswer: 102114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 67, -5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**3 - 10*r**2 + 2*r + 16. Let w be k(-10). Which is the fourth smallest value? (a) -3 (b) w (c) 5 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes after 3:35 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwxwwwwwwwxwxww. Give prob of picking 1 w and 2 x.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -5671, -11370, -17095, -22858, -28671, -34546?\n\"Answer: -2*c**3 - c**2 - 5682*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.0711 and -0.5.\nAnswer: 0.53555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 9 = 1. Let t = -0.07 + 0.47. Sort t, r, -5 in ascending order.\nAnswer: -5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1882?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -568371 (base 10) to base 8\nAnswer: -2126063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + 0 + (0 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of l**3\/3 + 5*l**2\/2 + 5*l. Let f be w(0). Suppose -48 = -4*p + f*z, -2*p - z = p - 55. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1.6, 5 in increasing order.\nAnswer: -1, 1.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence apu when three letters picked without replacement from gkpguuza.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 8*t + 16. Calculate x(-15).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -37 - -21. Let k be ((-5)\/4)\/(4\/w). Which is the nearest to 1\/2? (a) -1\/12 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p\/p**(-2\/9)*p)**(-1\/15))**(-8\/5))**(-2\/15) assuming p is positive.\nAnswer: p**(-64\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*(((-6)\/(-33))\/(-1) - 8\/(69960\/(-19663)))?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from oclooooglowaaowccgo?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(5 + sqrt(192) + sqrt(192) + -2 + sqrt(192) + 3 + ((sqrt(192) + sqrt(192)*1)*1 - (3 + 0 + sqrt(192) + sqrt(192))))**2.\nAnswer: -3474 - 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, 1.1, 5.\nAnswer: 0, 1.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 94088 divided by -2476\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -92*l**3 - 2067*l**2 + 4131*l**2 - 2064*l**2.\nAnswer: -92*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -1539*y - 416924. Give i(-271).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -320, -324, -330, -338?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qgq when three letters picked without replacement from {b: 9, v: 3, q: 2, g: 1, j: 3}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 0*h**3 - 11*h**3 - 5*h**2 + 5*h + h**3 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -13*l**3 + 14*l**2 + 62*l + 10. Is z(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 272075 plus 0.1?\nAnswer: 272075.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 15 = -6*o, -2*o + 1398 = 2*i. Suppose 0 = -2*x + 6, -i + 105 = -4*w - x. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10101010110001011110 (base 2) to base 14.\nAnswer: -142cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 169655999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 11 and -110.52?\nAnswer: 121.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 - 20 = 4*j, -2*j = n - 15. Solve 4*m = n + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-24)\/44 + (-672)\/(-264) + 18\/(-10). Which is the biggest value? (a) 13.71 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3.1 + -0.9. Let i be (5\/21)\/(-3 + 5). Let l = 1\/6 + i. Which is the nearest to l? (a) 3\/5 (b) w (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -5*t + 56. Suppose 10*c - t*c = -15. Let n be 2\/3 + 10\/c. Solve -2*y + n*y + 10 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -41 + 43.3. Let r = x + -0.3. Which is the smallest value? (a) 0.5 (b) -1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 484 divided by 242.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0, -5, -19 in ascending order.\nAnswer: -19, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 324 - 274 = -10*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 723220 and 2.\nAnswer: 723220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1715 + -27725157871\nAnswer: -27725156156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 41 - 285698674656\nAnswer: -285698674615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - -1257.13.\nAnswer: 1260.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is d in -4*d**4 - 1055744*d**3 - 69685432828*d**2 - 3064160846640*d - 2994476469552 = 0?\nAnswer: -131946, -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*i - i**5 + 2*i + 14 + 2*i**5 - 14 - i**5 - 2*i**5 + 5*i**5 + (i**2 - i + i)*(2*i**3 + 0 + 0).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**2 + 3*u. Let k be b(-3). Let y = 0.02 + -4.02. Let v = 4.3 + y. Put 5, k, v in descending order.\nAnswer: 5, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -59 + 63. Solve -6*p + 2*s - 20 = -4*p, 4*p = -q*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -156126*n**3 - 156850*n**3 + 312971*n**3 - 6*n.\nAnswer: -5*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 27658 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 13236 - -23?\nAnswer: 13261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -6 (c) -0.4 (d) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3.4052 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -40 + 55. Let k(c) = 26 - 10 + c - g - 18*c**2. Give k(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -46\/8127 and -167\/714?\nAnswer: 276318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -19*k**3 - 30*k**2 + 5*k - 111. Is z(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3771 + 124*t + 3771 to p + o*t and give o.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**2 - 5*d + 23. Let y be z(-7). Calculate the greatest common factor of 99 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 67, 136, 205?\n\"Answer: 69*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*1*sqrt(288)*-3)\/(-3*sqrt(9)*-2 - sqrt(27)\/sqrt(3)*-2).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 413 divided by 413.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 2, x: 1, p: 2}. Give prob of picking 1 x, 1 p, and 2 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**1*l**(-12)\/l)**46*(l**(5\/4)\/(l\/l**(3\/11)))**16 assuming l is positive.\nAnswer: l**(-5980\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -9*a - 19*a**2 - a**3 + 51 - 25 + 3 + 5 + 12. What is the hundreds digit of c(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -10520300 to the nearest one hundred thousand.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 668035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - -7 - 1) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 - -3. Let y = 2 - t. Suppose -y*m - 5*x + 5 = 0, -5*m + 5*x = -27 - 3. Solve s + 3*s = -4*w - 20, m*s = 2*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 62 divided by -24562\nAnswer: -31\/12281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = 8*p - 5. Let i(v) = -6*v - 24 + 13 + 14 + v. Let y be i(p). Is -3 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 0 - 12\/9 - (-3905)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u**3 - 5*u**2 - 14*u - 15. Let t be v(-3). Solve 3*n = -12, t*f = 4*f - 2*n - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x + 0*x = -0*x + 36 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0 + -5)*11\/11. Let z be p\/1*(2 - 3). Suppose 5*v - z*k - 121 = 2*v, 2*k = -2*v + 86. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25227697, 25227695, 25227693, 25227691, 25227689?\nAnswer: 25227687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -5*y + 37. Suppose -t - y = -3*c, -12 - 4 = -3*c + 5*t. Suppose -o + 5*m = 30, -c*m + 4 = -6. What is the nearest to -0.2 in 4, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14 - -16. Suppose -4 = 2*f + 4*a, -4*f + 11 = -c*a - 11. Solve -f*n - 1 = -9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the first derivative of -b**4\/32 + b**3\/24 + b**2\/16 - b\/8 + 4. Factor t(w).\nAnswer: -(w - 1)**2*(w + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (6\/(-5))\/(1528\/(-760) - -2). Suppose 35 = 119*p - i*p. Suppose -2*n = -4*n + 6. Solve -2*v + p = 3*t - n*v, 2*v + 4 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 53\/857?\nAnswer: 53\/857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0\/(-2) + 1 + -2. Let d(i) = -2*i + 47. Let t be d(6). Let b be (-30)\/t - 22\/7. Sort 2, b, c, -3 in ascending order.\nAnswer: b, -3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 118*y**3 + 6*y**2 - 11*y + 26. List the prime factors of r(4).\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 337 divide 23242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 418577.9 - -122?\nAnswer: 418699.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77) + -5*sqrt(77)*1)\/(sqrt(21)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5 + -718?\nAnswer: -721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -62127 by 27.\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 13412960 a multiple of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -24*h + 2. Let v(g) = -6836*g. Determine v(z(t)).\nAnswer: 164064*t - 13672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-82)\/(-697) - (-270)\/17.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1041097943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (3 - (0 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1811232279 to the nearest integer?\nAnswer: 42559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 882400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 6968 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -6334695 divided by 1767?\nAnswer: -3585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:28 AM and 8:04 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2.628694 times 6\nAnswer: 15.772164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 2*o. Let v(c) = -2*c**2 - 243*c - 5038. What is m(v(g))?\nAnswer: -4*g**2 - 486*g - 10076","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiitmtimmmtittimmtm. What is prob of picking 1 m and 2 i?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 28068 + -27669. Calculate the remainder when m is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - -1 - 4 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - -2 - -5 - -14 - (-7 - -6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 43070 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**37)**(3\/8)*(t**(-1\/18))**(-17))**(-11) assuming t is positive.\nAnswer: t**(-11737\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -66534025 (base 8) to base 11.\nAnswer: -8100365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -8*b**4 - 7*b**4 + 18*b**4 - 2 + 113*b**3 - 6*b - 2*b**2 - 114*b**3 in the form x + d*b**3 + i*b**4 + a*b + g*b**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of 9.43 and 3.\nAnswer: 28.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -3944700 to the nearest ten thousand.\nAnswer: -3940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*v + 17 + 18 - 35.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*q**3 + 3*q**3 - 2*q**2 - q**3 - q**3.\nAnswer: 5*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be -4 + 2 - (-2 + 5). Let o be -5*(17\/j - -3). Let z(q) = -q**o - q**3 + q - 2 - 4*q + q**3 + q**3. What is z(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 169759817 to the power of 1\/2, to the nearest integer?\nAnswer: 13029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooc when three letters picked without replacement from {k: 7, o: 8, c: 3}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4570?\nAnswer: 2, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 48\/11 - 100\/33. Let w = 2.96 + 0.04. Which is the smallest value? (a) w (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the first derivative of -13*k**5\/60 + 11*k**3\/6 - k**2 + 10. Let s(u) be the second derivative of v(u). Differentiate s(y) wrt y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -6525, -26080, -58677, -104322, -163021?\n\"Answer: -g**3 - 6515*g**2 - 3*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 9, l: 1, p: 4}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) 7909\/15 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7243.2 + 7268.08045. Let p = a - 25.01. Let z = 0.13 + p. What is z rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7478.\nAnswer: 2, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 55114686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 3 + 0)*(10*f - 1 + f - 2*f)*(-f**4 + 2*f**3 - 2*f**3).\nAnswer: -9*f**5 + f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -111014523 + -2?\nAnswer: -111014525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v + 5*v - 35. Suppose -u - 4 = 0, 0 = v*c - 4*u - 27 - 49. Calculate the highest common factor of c and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 43*f*h*n**2 - f*n**2 - 2*f*n + 140*h*n**2 - 618*h*n - 47752*n**2 - 9*n + 6 wrt h?\nAnswer: 43*f*n**2 + 140*n**2 - 618*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from ynnynnyyynhyhnyhy?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 721 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/21)\/(43 + 53360\/(-1240))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 591 = 12*v - 897. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -27 by -24346.\nAnswer: 27\/24346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/25215 or 1?\nAnswer: -2\/25215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 - 62*z**2 - 31*z - 1634. Calculate the remainder when 1174 is divided by i(63).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 32*w**2 + 9*w. Let s(j) = -j. Calculate s(h(t)).\nAnswer: -32*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1331*g**3*t**2 - 127*g**3*t - g**2 wrt t.\nAnswer: -2662*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - 3. Let v = 2 + j. Suppose v*w - 2*w - r + 10 = 0, -20 = -5*r. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*m**2 - 4*m**2 + 2*m**2 + 0*m + 0*m + m**2 + (0 + 0 + 2*m**2)*(-3 + 3 + 2) + (0 - 2*m + 0)*(-m + 0 + 0) + 4*m - m**2 - 4*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*p**2 - p**2 + 4*p**2)*(0*p + 0*p - 2*p) - 4*p + p**3 - 2*p**3 + 2*p.\nAnswer: -19*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 38 - 19. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 - -5. Let v(d) = -12*d**3 - d**2 + 2*d - 1. What is v(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -85*c**3 + 43*c + 1 wrt c?\nAnswer: -510*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be -5*3\/12 + (-10)\/(-8). Suppose -21 = -3*p - 6. Solve p*z + 2 + 23 = c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 2*v + 22. Let k(i) be the second derivative of 1\/6*i**4 - 4\/3*i**3 + 4*i**2 + 0 + v*i. Factor k(u).\nAnswer: 2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -16*f**3 - 1010*f**2 - 121*f + 147. Calculate a(-63).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6 + 2636)\/(22\/35). Let x = o - 4180. Let t = 345 + -2421\/7. Find the common denominator of x and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 229886885?\nAnswer: 5, 149, 308573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 174 and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 110454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4331, -4110, -3897, -3698, -3519, -3366, -3245, -3162?\nAnswer: -3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 13*s - 4. Suppose 5*r + 24 = -16. Let j = -5 - r. Is z(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/47, 2\/3, -0.3, -25.904 in decreasing order.\nAnswer: 2\/3, -1\/47, -0.3, -25.904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = -0*d + 45. Let y(s) = s**2 + 9*s - 12. Let g be y(-11). What is the second derivative of -g*w**5 - w + d*w**5 - 2*w wrt w?\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 811899 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 237 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-35))**(3\/26))**38 assuming k is positive.\nAnswer: k**(-1995\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r = 2*m, 15 = -2*m - 2*r + 7*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 8*d**2 - 16*d + 2. What is the tens digit of n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - 4. Suppose -j = -3*j + 10, -i = -j + 9. Let o = 4 + -6. Sort a, i, o.\nAnswer: a, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -679 + 0.1171.\nAnswer: -678.8829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -25, -57, -105, -175, -273?\n\"Answer: -q**3 - 2*q**2 - 19*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**2\/7 - 3251*j\/7 + 3258.\nAnswer: -(j - 7)*(j + 3258)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.15 * 0.571.\nAnswer: 0.08565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -15*n + 12. Let b(c) = 7*c - 6. Let x(m) = 5*b(m) + 2*t(m). Does 6 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 971428?\nAnswer: 2, 23, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.3 and -46658911.\nAnswer: 13997673.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2*1)\/(34\/51). Let u be d - (-1)\/((-12)\/32). Let o = 1.8 + -2. Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.01265 - 0.41265. Let c be ((-43)\/3)\/((-12)\/84). Let y = c - 99. Sort m, y, -4\/5.\nAnswer: -4\/5, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -2*d - 14. Determine z(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**0)**(-11\/3)*(i**(-4)\/i)\/(i\/(i\/i**(-4\/11))) assuming i is positive.\nAnswer: i**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**2 - 4*i**2 + 3*i**2. Let t be 5 + -1 + -1 + 1. Let l(p) = t*p + 2*p - 5*p. Calculate l(v(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hqm when three letters picked without replacement from qmmqqmqqhm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = a + 2. Let c = a + 14. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2592074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1567*q**2*t + 734*q**2 wrt t?\nAnswer: -1567*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-9)\/(54\/(-12)) + -2. Suppose y = 7*w - 633 - 277. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -101 - -139. Suppose 6 - 37 = 2*a + 3*y, 0 = -5*a - 2*y - 94. Let b = k + a. What is the remainder when b is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -45736.09815 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*p**6 + 168*p**3 + 131*p**2 - 6*p wrt p?\nAnswer: -360*p**3 + 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**3 + 9*q**2 - 7*q + 2. Let j be u(-8). Suppose -5*b + 2*x = -135 - 67, -3*b = -x - j. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-7)\/21 - 0)\/(2\/(-12)). Suppose -13 = -y - 2*t, -4*t - 2 = -4*y - u*t. Find the second derivative of 23*n**4 + 14*n - 18*n**5 - y*n - 23*n**4 wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -31783 - -6197638\/195. Find the common denominator of o and 46\/325.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 162.79 - 165.79. What is the closest to -1 in -3\/7, n, -2\/5, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 35621462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5110 and 3650.\nAnswer: 25550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be 26\/6 + 8\/(-24). Suppose -4*v - 16 - u = 0. Let m = -0.009 - -0.109. Which is the third biggest value? (a) 4 (b) m (c) v (d) -2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 458.3 + -458. What is the closest to 2 in -1, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -456, -3761, -12752, -30273, -59168?\nAnswer: -102281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.3 (b) 15 (c) -1\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes after 8:22 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**2 + 19*f - 38. Let c be k(16). Suppose 0 = a - 7 + 2. Suppose a*s + 1130 = c*s - 3*x, 0 = 5*x - 25. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 81385, 162805, 244227, 325651, 407077, 488505, 569935?\n\"Answer: g**2 + 81417*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 618*w**2 + 10891*w**3 - 618*w**2.\nAnswer: 10891*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1772 + 1774. Solve -s*n = 0, -4*v + 11*n + 8 = 10*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*z = -221 - 213. Suppose -32*y + 321 = -z. Solve 0 = -3*o + 2 - y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 245844 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, b: 2, w: 1, p: 6}. Give prob of sequence jbw.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-264)*11*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7734 = -4*h - 2*l, -2*h + 0*l + 3887 = 5*l. Let y = h + 30. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (5*sqrt(130)*1)\/sqrt(10).\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 25*d**5 - d**3 + 3*d**2 + 73*d + 5?\nAnswer: 500*d**3 - 6*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 499 - 494. Solve -5*b - 1 = f*h + 4, -4*h - 2 = 3*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29921452.\nAnswer: 2, 11, 101, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.091 - 0.909. Sort -4, o, -0.3 in decreasing order.\nAnswer: -0.3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of 156*n**5\/5 + 2*n**3\/3 + 41*n - 56. Find the third derivative of y(l) wrt l.\nAnswer: 3744*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 338*n**2 - 4*n**3 + 27*n**2 - n - n**4 - 381*n**2 to the form c*n + g*n**3 + y*n**4 + r*n**2 + z and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 11555297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 21 rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 29, 351, 1073, 2345, 4317, 7139?\n\"Answer: 25*g**3 + 50*g**2 - 3*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) + -4 + sqrt(275) + 3 + (4*(sqrt(275) - (sqrt(275) + 1))**2 - sqrt(275)))*3*-2.\nAnswer: -30*sqrt(11) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -5*a**2 - 47*a - 105. Give z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 - 3. Let b be l\/(-22*(-1)\/(-2)). Let z = -4379 - -4376. Sort z, -1, -6, b in descending order.\nAnswer: b, -1, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2983 - -3945. Calculate the highest common factor of 78 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 93671693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(3) + -3 + 4*sqrt(192) - (sqrt(300) + 0)**2*5*6.\nAnswer: -9003 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14 + 15. Which is the closest to 2\/11? (a) -0.1 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.5 take away 73009589?\nAnswer: -73009592.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 35*v**2 + v + 2. Let r be c(-2). Suppose 0 = -7*n + 3*n + r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*y = -23 - 37 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 33340938 divided by -241601\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*g**2 + g**2 + 3*g**2)*(2*g - 2*g - 2*g**2)*(710*g - 1395*g + 742*g).\nAnswer: 228*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -561, -560, -559, -558?\n\"Answer: i - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 93094 a multiple of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 2*b = -3 - 15, 5*z - 90 = 4*b. Suppose -z = 5*i + 42. Let p be -1 - -1 - (-8)\/i. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 43784111 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + d + x = 20, -5*x + 10 = 0. Suppose 4*h + 29 = 201. Let n = h + -33. Calculate the lowest common multiple of d and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 0*q = q + 47, 4*q = -2*t + 36. Let g be 2\/8 + (-4)\/t. Put 2, g, -2 in ascending order.\nAnswer: -2, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 620 - 616. Solve 4*b - 4 = -n*x - x, -5*b - 16 = x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000005725887 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -52, -302, -714, -1288?\nAnswer: -2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1450 is divided by 197?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 219*h - 109. Let c be f(12). Suppose -3*q + j = -j - 2521, 3*q - c = j. List the prime factors of q.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -156523360, -313046720, -469570080, -626093440?\nAnswer: -782616800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in 90\/17, -0.766, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1969\/7 + -281. Which is the third biggest value? (a) 3 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -11 - 1. Suppose 0 = -y*h + h. Let p = 1 - -1. Solve h*x = -2*x + p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5798813 to the nearest integer?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 3*f)*(-16*f**2 + 42*f**2 + 59*f**2).\nAnswer: -255*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**0)**(-5\/7)*(i**(3\/7)*i)\/i**(1\/4) assuming i is positive.\nAnswer: i**(33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -63, -101, -141, -183, -227, -273?\n\"Answer: -l**2 - 35*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -3 + 8 - (-211 - -238)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*t + 9 = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes before 11:42 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 384 = -5*n, -13*h + 12*h - 2*n = -192. Calculate the highest common factor of 36 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1479, -532, 1047, 3258?\nAnswer: 6101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1431500 + 0?\nAnswer: -1431500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -172, 4, -85.\nAnswer: -172, -85, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -73*q - 237 - 55 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from aahhhahhahahh.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (4*g + 0*g + 2*g)*(6*g**2 + 4 + 2*g - 3*g - 109*g**3 + 107*g**3) as u*g**2 + l*g**4 + a*g + r + t*g**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1743 + 5?\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -9378 - -5?\nAnswer: -9373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 2*q = 6, 3*q = -3*k - q + 9. Let i(m) be the first derivative of 16\/9*m + 20\/9*m**k - 25\/18*m**4 + 4*m**2 + 7. Let i(c) = 0. What is c?\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26068651 divided by -5.\nAnswer: 26068651\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.4 - 1.6. Which is the closest to 1\/3? (a) -5 (b) -1\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6423 divided by -3?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -3, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 798 and -0.1?\nAnswer: 798.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 78.26 - 79. Let t = 0.7575 + s. What is t rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 109*d**2 + 423*d + 347. Determine g(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add -6914341 and -89.\nAnswer: -6914430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g**2 - 2*g**2 - 6*g**2)*(1 - 4 - 1) - 2*g**2 + 2*g**2 - g**2 - 10*g**2 + 11*g**2 + 22*g**2.\nAnswer: 46*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -4334.515702+353558\nAnswer: 349223.484298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 7:27 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 792\/13 - 3778\/65. Is x > -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -85544100 and -85544100 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 278666?\nAnswer: 2, 139333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*f - 5*g + 86273 - 86251, -4*f - 5*g = 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -626.8394 to 1 dp.\nAnswer: -626.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -36*i + 75. What is the hundreds digit of u(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes after 9:07 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 + 1. Let m(r) = 7*r**3 - 16*r**2 - 3. Let i(l) = m(l) + 3*p(l). Find c, given that i(c) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q + 24 + 357. Let g = q - 71. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114047 is divided by 28185.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 88409?\nAnswer: 211, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 243234362?\nAnswer: 2, 7, 17373883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 276, 3, 4.8351, 2\/11 in increasing order.\nAnswer: 2\/11, 3, 4.8351, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 196 + -196. Suppose 0 = -2*n + 5*n. Let u be n*(2\/(-2) - 0). Solve h*w + w + 3 = u, 25 = 2*k - 5*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156)\/(sqrt(768)*1) - ((sqrt(13) - (sqrt(208))**2*3) + -4))*-4.\nAnswer: -2512 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12383093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of -n**3\/3 - 9*n**2\/2 - 8*n - 3. Let p be y(-6). List the prime factors of (-6)\/(-15) - (-146)\/p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.05 + -0.05. Let a = -139 + 138.5. Suppose i + 3*i = 8. What is the nearest to i in x, a, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -134167\/670785 - -2\/134157. Let o = 227\/5 + -46. Which is the third smallest value? (a) o (b) m (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02151226355 rounded to five dps?\nAnswer: -0.02151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -5*d + 3 + 14, -3*d + 2*b = -23. Solve -o = -5*s - 6*o + 25, -d*o + 23 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) 1\/2 (c) -3 (d) -0.04 (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 + (6 + -11)*7\/11. What is the second smallest value in 1, 2\/9, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26 + -76. Let k = -102.0486 - s. Round k to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1240 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**2. Suppose 0 = 4*q - 2 - 2. Let z(w) = -w**2 + 8. Let g(i) = q*z(i) + 2*l(i). Does 19 divide g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 95 + -92. Suppose 4*u**2 + 4*u**v - 8*u + 5*u**2 - 5*u**2 = 0. What is u?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + 1 - 4 + w + (0 + 0 - 2*w)*(-4 + 1 + 0) + (-11*w - w - 13*w)*(0 + 2 - 3).\nAnswer: 32*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-121)\/66*328\/451)\/((-9)\/((-675)\/(-10)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -11*z**2 - 42*z - 299. What is d(-6)?\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 174*b**2 - 56708*b\/5 + 55838\/5.\nAnswer: 2*(b - 1)*(435*b - 27919)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -61968 and 2354?\nAnswer: -145872672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the first derivative of -s**4\/4 - s**3 + 3*s**2\/2 + s + 422. Suppose 0*c + 3 = 3*c. Let g be (-2)\/c*(-9)\/(-6). What is w(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -295*n - 3243. Let r be q(-11). Solve 2*o = -5*x - 12 - r, 3*x + 8 = -o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 8*z**3 + z**2 + z - 1. Let x be k(1). Solve -6*q = -3*q - x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -3, 50 in increasing order.\nAnswer: -3, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4547 + 4552. Put 56, -24, s in increasing order.\nAnswer: -24, s, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**3 + 4*h**2 - 4*h + 5. Suppose 5*t + 20 = 4*l, -4*l - 4*t = -3*t + 4. Let m be (15\/6 - l)*-2. What is a(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the second derivative of -g**6\/6 + g**5\/2 + 35*g**4\/12 + 10*g**3\/3 - g + 2. Factor i(m).\nAnswer: -5*m*(m - 4)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14117630 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -109*m - 32*m**3 + 30*m + 36*m**3 to the form f*m**3 + i*m**2 + b + k*m and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 74159?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - (-17 + 0) - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:16 PM and 3:21 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -2*q - 9. Suppose 2*l = -n + 3, 2*n + q*n = -l + 24. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -54*f - 22*f - 117 = 41*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -727.8, 6, -0.3, 0.5 in ascending order.\nAnswer: -727.8, -0.3, 0, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*s + 2*a + a, 8 = 4*s - a. Solve -4*y = 2 + s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -2*t**3 - 449*t**2 - 2560*t + 150822. Give u(-217).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -15 + 22. Let y be g\/1 + -4 + 2. Find the third derivative of -y*t**2 + 2*t**6 + 6*t**2 - t**6 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.52 - 108.1\nAnswer: -108.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7\/2*v - 1\/4*v**2 - 49\/4 = 0. Calculate v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(128)*3 + -1 - -6*(3 + sqrt(2))*5) + 0)**2 + -1.\nAnswer: 9612*sqrt(2) + 13752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -37*m + 4. Let d be y(-4). Suppose 5 = 5*x, -4*b + d = -2*x + 10. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -42*f. Let z(q) = 4*q. What is z(j(b))?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.0097, 2\/63, -17\/40?\nAnswer: -17\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1 + -2 - (-67 - (15 + -23)) - -13\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**3 - 7*z**2 - 3*z + 8. Suppose -l - 3*h - 5 = 0, 4*l = -0*l + 3*h - 20. Let i be y(l). Which is the nearest to -1? (a) i (b) -5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of b**3*z - 9*b**3 - 4*b**2*z**2 + 13267*b*z**2 + b wrt b.\nAnswer: 6*b*z - 54*b - 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 15166086 to the power of 1\/2, to the nearest integer?\nAnswer: 3894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 32*d**2 - 36*d**2 - 2*d + 3*d**2 - 2 - 121*d**4 in the form w + n*d**2 + p*d + k*d**3 + c*d**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7580 and 239141420?\nAnswer: 7580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 56196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 243164 and 259?\nAnswer: 1702148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 30 = q. Let p be (-2)\/q - (-42)\/110. What is the closest to 2\/7 in -4, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 668959 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 100330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**2. Let n(r) = -4*r + 1. Let z(v) = -a(v) + n(v). Let u be z(-3). What is the units digit of 2 + u\/(4\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 26103299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are -50645802\/43 and -1177810 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f + 6*f + 4 = 0. Let p(c) = -14*c**3 + 7*c**2 - 13*c - 5. Let m(n) = 6*n**3 - 4*n**2 + 6*n + 2. Let g(r) = f*p(r) + 5*m(r). Factor g(o).\nAnswer: 2*o*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the third derivative of 3*f**4\/8 - f**3 - 56*f**2 + 2*f. Let t(a) = 2*a + 2. Let y(v) = -v. Let p(g) = t(g) + 5*y(g). Determine 17*p(n) + 6*s(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 82 - 7340*z - 148 - 471*z + 66 to i*z + o and give i.\nAnswer: -7811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 15568363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 770.9564 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**3 + 2*y**2 + y - 1. Let r be f(2). Suppose 12*v = 7*v + 10. Suppose -4*w = -5 + r, v*i - 2*w = 12. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 94706*q**2 + 181579 wrt q.\nAnswer: 189412*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the first derivative of -4*w**2 - 2. Suppose 5 + 25 = -5*p. What are the prime factors of d(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4*(-1 - 10\/(-6)). Suppose d + 19 - 18 = 0, d = i - 178. Let o = i - 172. Which is the second smallest value? (a) g (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the first derivative of -1\/2*i**2 + 3 + 0*i. Let x(n) = 4*n**2. Determine r(x(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17158 + 30735. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -10311 (base 7) to base 6\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 316585292?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/(-14)*3929*1\/(-3). Let m = -187 + x. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 997*b**2 + 16 + 30 - 149*b**2 + 3*b - 317*b**2 - 9*b wrt b.\nAnswer: 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*l**2 + 0 + 2 - 223*l**2.\nAnswer: -253*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*h*j**5 - 13*h*j**3 - 2*h*j + 52*j**3 - j**2 + 31*j wrt j.\nAnswer: -120*h*j**2 - 78*h + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17559 is divided by 3466?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 292 (base 16) in base 2?\nAnswer: 1010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -270\/13 - -1041\/52. Let g = 1.8 - 1.7. Which is the third smallest value? (a) -1\/3 (b) h (c) -0.4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 128165487 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9339596 to the nearest integer?\nAnswer: 3056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 412*g - 408*g - 12 = 0. Solve -p = g*d - 3*p, -3*d = -p - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -21, 4, -2, 1, 83 in descending order.\nAnswer: 83, 4, 1, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from qnnqnnnntntnqnn?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -18 - -6. Let i(k) = 27*k + 23*k - 80*k + 29*k. Let f(r) = -2*r**2 - 8*r - 1. Let l be f(-4). Let v(t) = 14*t. What is l*v(c) + x*i(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -23 + 2200411?\nAnswer: 2200333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6984 - -6968.534. Let i = -15 - n. Let s = i + -0.066. What is the closest to 0.2 in -0.5, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 53 + -55. Which is the nearest to -1\/3? (a) 0.4 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-7 - -11) + (-30)\/8. Let s be (-2)\/4 - 18\/(-4). Suppose 3*u = s*u. Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 2\/3 (c) 507 (d) -6\/11 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (2350\/940)\/((-2)\/(8 - 4)*-1) - -40\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.38 * 0.12.\nAnswer: -0.0456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:54 PM and 6:57 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and -10.01.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 9 = 4*b - 5, 4*v = 2*b + 2. Suppose 0 = b*r - 12 - 8. Let o be (-11 - -7)\/(r\/(-10)). Solve c - 4*y + 1 - o = 0, -c = 4*y + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 + 5. Let o = m - 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -808 + 1193. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m - 14 = -i, 3*m + 3*i = -2*i + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 - 168199818?\nAnswer: -168199816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 270\/7 - 337\/14. Let j = 13 - z. Let x be 40\/(-78) - ((-1450)\/(-130) - 11). What is the nearest to -2\/7 in 0.1, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - -4331024?\nAnswer: 4331032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1113\/5 - 40133\/180. Let w be 2 + (96\/27)\/(-4). Let x = z + w. Which is the third smallest value? (a) x (b) 2\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 42 - 37. What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -250*o - 513*o = 23*o - 31440 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**26)\/b**(-2\/29) assuming b is positive.\nAnswer: b**(-723\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -6496.5 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -23 in -1\/3, 407, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2660047 is divided by 248?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the first derivative of 4*b**5\/5 - 8*b**3\/3 + 10. What is the third derivative of y(q) wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-18)\/(-6) + (-1 - -128). Suppose -a = y - 3*y. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 30030088 by -44.\nAnswer: -682502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8446226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 2*f**4 + 80*f**3 + 222*f**2 - 8*f - 296 = 0.\nAnswer: -37, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q, 1 j, and 1 o when four letters picked without replacement from rnjirqiqqorjjir?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -40 - -30151?\nAnswer: 30111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 32 and 141952?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -172285502 - -2.88\nAnswer: -172285499.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (-14 - (14 + -32)) + 2 + 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6444.6 - -6447.3907. Round j to one decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 minus 35.17239498383?\nAnswer: -37.17239498383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 383.61 rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 84 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*k = -43*k - 2. Which is the closest to k? (a) 1 (b) 8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 30 = -4*y, 2*y + 12*u - 10*u - 30 = 0. Calculate the common denominator of 18 - y - (-276)\/(-27) and 53\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -96 + 70. Let p = -91 + 116.5. Let y = v + p. Is y greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 0, -2, 2, -89, -64 in descending order.\nAnswer: 2, 0, -2, -8, -64, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (-5 + 3 - (1 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -f*z**4 - 6*f*z**3 + 2*f - 5*z**2 - 61 wrt z?\nAnswer: -4*f*z**3 - 18*f*z**2 - 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:27 PM and 9:23 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -8, 2, 52 in descending order.\nAnswer: 52, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 + -1. Let w = -3 + y. Let f = -309 - -4019\/13. What is the second smallest value in f, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1320380 divided by 3?\nAnswer: 1320380\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1078)\/42 - -5 - -19. Let m = 26 + -36. Which is the nearest to 3? (a) 2 (b) u (c) -1\/8 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 9 = -3*r, -2*r = -5*t - 2 - 4. Solve -r*y + 1 = 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2074 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {a: 7, i: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 51*h**2 + 6*h + 45. Let l(t) = -103*t**2 - 10*t - 91. Let d(r) = -3*l(r) - 5*v(r). Differentiate d(b) with respect to b.\nAnswer: 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 79 - -65. Suppose -3*t + h = -450. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -10 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**3 + k**2 + k + 4. Let g be s(0). Let c = 2 - -6. Suppose -g*z + 3*m + 12 = -c, 5 = z + m. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -3 + 6*q + 8 - 2*q**2 + 2 + 3*q**2. Let p be y(-5). Let a = 13 + -11. Solve 2*u = 8, a*c - 5*u + p = -8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 531898277?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.1, 1, 3\/5, 0.8 in descending order.\nAnswer: 1.1, 1, 0.8, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 + 6*w + 9. Let y be s(7). Find the second derivative of -2*p**3 + 4*p + y*p + p**3 wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -2*a**2 - 7*a + 12. Let i be o(-12). Find the common denominator of -1*(-2)\/(-9) - (-715)\/(-144) and (8\/i)\/(2\/484).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10272098 divided by -5136049?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1 - (-35)\/(-7) - (7 - (-7 - -21)). Solve -2*x + 6 = -b, -10*x - 3*b = -11*x + z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 15 and 18600?\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 440 in 2\/15, 0.3, -0.14, -83, -0.12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -41 - -42. Solve -5*q = 5*b + 10, -4*b + 7*q = 2*q - s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (635\/(-20) - (75\/(-4))\/(-15)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 12:46 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -413*r - 6470 = 378*r - 89*r - 26126 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -21.1 + 3.1. Let u = r - -18.7. Let w = 0.3 + u. Is w smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-2)*((12 - 6) + -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -50358, 5, -2 in ascending order.\nAnswer: -50358, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 4*d = 4*n - 17, -d = -n + 4. Let q(z) = -90*z - 10. What is the tens digit of q(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -58, -58, -52, -40, -22, 2, 32?\n\"Answer: 3*a**2 - 9*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -43\/6 (b) 2\/5 (c) 0.3 (d) 23741\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 6*i. Let p(y) = y**2 + 10*y. Give a(p(f)).\nAnswer: 6*f**2 + 60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2 - -5)*3\/3. Find the second derivative of -9*h - h + 7*h**g + 5*h**5 - 7*h**3 wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 3 = -2*h, 2*a - 4 - 8 = -2*h. Solve -a*b - 13*b = -16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -3*l**2 + l - 2. Let z(k) = 7*k**2 - 23*k - 3. Calculate -4*d(f) - z(f).\nAnswer: 5*f**2 + 19*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 89912257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 15 + -4. Let l = 5 - 3. Factor -f**4 - 13*f**2 - j*f**l + 10*f**3 - 2*f**3 + 32*f - 16.\nAnswer: -(f - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the third derivative of -y**4\/24 - y**3\/6 - 3*y**2 - 3*y - 6. Suppose -h = -5*h + 8. What is x(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 1. Let b(x) = -x + 1. Let d be b(-1). Suppose -4*r + 0*r + 14 = -d*u, -3*u = 2*r - 3. Let m(q) = q**2. Calculate u*w(o) - 2*m(o).\nAnswer: -2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 54344292451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n + 55. Let t be x(5). Let c(h) = 2*h**2 + 6*h + 5. Calculate the remainder when (-4)\/(-6) - 5\/(t\/(-1156)) is divided by c(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in -2*f**5\/3 - 450304*f**4\/9 + 1050778*f**3\/9 + 2701924*f**2\/9 + 1200848*f\/9 = 0?\nAnswer: -75053, -1, -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*h + 24 = 3*r - 56*h, 0 = -3*h - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4 - (-3 - (-13 + 2)). Let k = 173 + -121. Calculate the remainder when k is divided by (12\/30)\/(m\/(-110)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -3, -5, -2\/861?\nAnswer: -2\/861","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 357 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 5 + 7 - 1093*d - 2*d**2 - 12 + 4779*d as y + w*d + p*d**2 and give w.\nAnswer: 3686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1022798444 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 57.8 - 0.09298491098.\nAnswer: 57.70701508902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 5*q + 27. Let k be x(-5). Calculate the greatest common factor of 18 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.9205 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 0*a**2 + 0*a + 5\/3*a**4 - 1\/3*a**3 = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 3, d: 5, y: 2, i: 5, p: 1}. Give prob of picking 2 i, 1 d, and 1 r.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -36189*c + 36137*c - 3*c**3 + 2*c**3 + c**2 - 2*c**3 to the form v*c**3 + t*c**2 + d + s*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of -2*k**3\/15 + 8*k\/5 + 21. Determine a, given that q(a) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12937, 12944, 12965, 13006, 13073?\nAnswer: 13172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.2 + 1.3. Let y = 2 - r. Let v = y - -1. Which is the biggest value? (a) v (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) 0.3 (c) -4\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2409 - -2395) + (-140)\/(-13).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 802*d + 2. Let h be p(-1). Round h to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -9049 + b + 9049 - 11*b. Determine r(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7674639509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -12*w**2 + 5 + 11*w**2 - 5. Let k(v) = 2*v**2 - 8*v. Let d(i) = -i**2 + 5*i. Let o(n) = -8*d(n) - 5*k(n). Give l(o(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 116353 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose f**5 - 4*f**4 - 80*f**3 + 528*f**2 - 720*f = 0. What is f?\nAnswer: -10, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**3 - 7*j**2 - 9*j + 11. Let d be -3*1 - 44\/(-4). Let g be i(d). Let z(s) = -s**3 + 4*s**2 + s + 1. What is z(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.3 and 2614?\nAnswer: 2614.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 211342 is divided by 116?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 17, 586, -3\/8, -4.\nAnswer: -4, -3\/8, 2, 17, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 7*p = -52, 4*w + 7*p = 11*p + 32 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 441 - 558. Let c be (p\/(-26))\/((-15)\/(-20)). Suppose w = 3*g + g + 38, 0 = -5*w + 2*g + 154. Calculate the greatest common factor of c and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2297 = 3*y - 3235. Suppose y = 3*m + 4*z, -3*z - 2751 = -5*m + 274. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 2:16 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1484822610 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 29 + 57 = 4*s, 3*m = -s + 14. Suppose d + 174 = 4*d. What is the remainder when d is divided by s*1 - (-6)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -32 - 2*q + 11*q**2 + 32. What is the tens digit of a(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 10, f: 4}. What is prob of sequence oofo?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 3*b - 5*m, b - m - m = 10. Find the second derivative of -24*g**2 + 2 - 37*g**b - g**2 - 3*g wrt g.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 612583\/3 <= 204193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-3))**(-19)\/(d**(4\/7)*d**(-1\/8)))**(26\/5) assuming d is positive.\nAnswer: d**(41171\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -20362366388 - 9642\nAnswer: -20362376030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**3 + 4*t + 6. Let s(w) = 4*w**3 + w**2 + 12*w + 17. Let y(x) = 2*s(x) - 7*u(x). Find k such that y(k) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35085?\nAnswer: 3, 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**3 - 3*o**2 - 10*o - 37. What is n(-5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes before 11:21 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -65, -133, -195, -251?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*q - 17 = 7. Solve 2*k + q = r, -k + 14 = -2*k + 3*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -5351\nAnswer: 2\/5351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, a: 5, f: 4, p: 2, r: 1, x: 2}. Give prob of sequence pdr.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 54*d**2 - 5*d + 62. Let m(c) = 55*c**2 - 4*c + 62. Let u(x) = -5*m(x) + 4*v(x). What is the derivative of u(n) wrt n?\nAnswer: -118*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 6 (b) -29 (c) 0.2 (d) 3\/40 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Sort 2, 438, 4, 3, 5 in decreasing order.\nAnswer: 438, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33766, -67666, -101662, -135748, -169918, -204166, -238486, -272872?\nAnswer: -307318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -98*k**2 + 4*k. Let h be u(-1). Is (317\/3)\/(h\/36 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 31960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -115289 (base 10) to base 11\nAnswer: -79689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, x: 5, v: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -2\/7 (c) 10 (d) 0.01 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -4*y**2 + 2. Suppose m = -0*m + 4. Let o(b) = -6*b**2 - 2*b + 3 + b**2 + 2*b. What is m*j(g) - 3*o(g)?\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(112)*5 + -1 + sqrt(112)))**2 + -5*(sqrt(112) + -5*(0 + sqrt(112))) + -3.\nAnswer: -688*sqrt(7) + 64525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 438653 to the power of 1\/2, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 432 and 81?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-149 + 154 - (-26 + 1)) + -103.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 2)*(-w**3 - w**3 + w**3) - w**3 - 2*w**3 + w**3 + 2*w**3 - w**3 - 3*w**3 + 244*w**3 + 4*w + 1 - 246*w**3 + w.\nAnswer: -8*w**3 + 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 164 - 345. Let o = a + 180.99999844. Round o to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -293898120 divided by -854355?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 139590000 rounded to the nearest one million?\nAnswer: 140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -d = 0, 3*r - 12 = -r - d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144)\/(sqrt(3)*-4))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {v: 7, k: 4, r: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 452527697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*p = 2593 - 18349. List the prime factors of p.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2968\/5 greater than -595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/270 and 23\/54450?\nAnswer: 163350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -605 - 1605?\nAnswer: -200a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1*(-1 + 1)\/(-1). Let u(t) = t - 3 - 3 + 3 + 0. Determine u(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 4, f: 7, v: 5, a: 1, i: 1, l: 1}. Give prob of sequence vfl.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 48392 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 6*h + 3*h - 11*h + h + 2*h. Let l(o) = -2*o - 5. Determine -l(p) - 5*u(p).\nAnswer: -3*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 96 divide 894610272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 930256.8346 + -929958.83459826. Let s = -298 + o. Round s to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes after 9:18 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the second derivative of -17*f**3\/6 - 7*f - 236. Let d(b) = 61*b. What is d(n(a))?\nAnswer: -1037*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 8*f**3 + 550*f**2 - 137*f + 366. Give w(-69).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3 - (-4)\/(8\/26). Let w = -49 - -49. Suppose s + l - 19 = w. Is 6 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iire when four letters picked without replacement from ioioiioeorriooiixkoo.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = y, d + 6*y - 269 = 2*y. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**2 - 4*a + 2. Determine v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 34 and 1326?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 262 - 28 = -2*d, -d + 2*m - 133 = 0. Let x be 1\/6 + d\/(-6). Let s = x + -8. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**0)**30*((z\/(z**(3\/10)*z))\/z)\/z*z*z**(4\/7))**(-42) assuming z is positive.\nAnswer: z**(153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from vhohhhhhho.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of f**6\/720 + 29*f**4\/4 - 55*f + 1. Let i(y) be the third derivative of s(y). Let l(r) = 3*r. What is i(l(t))?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1618, 1619, 1620?\n\"Answer: q + 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 16*p**3*v + 59057691*p**3 + 491813*p*v wrt v.\nAnswer: 16*p**3 + 491813*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 9\/25 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 0*f - 2*f + 2 + (0 - 3 + 5)*(-5*f + f + f + (11*f + 3*f + 14*f)*(-3 + 4 - 3)) as t + q*f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15275 + -15287. Let g(f) = f**3 + 12*f**2 - 2*f - 12. Give g(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the first derivative of -11*s**4\/2 + 21*s**2 - 2*s - 37. What is the second derivative of z(v) wrt v?\nAnswer: -132*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 366624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, i: 1, f: 1, y: 9, b: 5}. Give prob of picking 1 i and 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19840022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the third derivative of -y**9\/504 - y**8\/28 - 53*y**5\/60 + y**4\/24 - 128*y**2. Find the third derivative of f(u) wrt u.\nAnswer: -120*u**3 - 720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -59*m + 17*x + 102 = -56*m, -4*m + 4*x = -80 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -633 + 1267\/2. Let w = 109 + -101. What is the closest to w in 1, -1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*z**2 - 19*z + 19*z)*(z**3 - 2*z**3 + 2*z**3) - 4*z**3 + 4*z**3 - 2*z**5 + z**5 + 0*z**5 - 2*z**5 + (0*z**4 + 0*z**4 + 2*z**4)*(5*z + 0*z - 3*z).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.3 + -0.2. Suppose 0 = -2*p - 2*i - 8, -7 = -3*p + 5*p + 3*i. Let n = 3 - 2. Which is the nearest to n? (a) x (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-4)\/(-10))\/(-1*2))\/((58286\/(-23405))\/(-386)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**2 - 57*h + 163. Calculate i(-61).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the first derivative of 793*w**3\/3 + 91*w**2\/2 - 628. Find the second derivative of j(a) wrt a.\nAnswer: 1586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 - 40 = -3*c. Let y be ((-2)\/4)\/((-7)\/c). Suppose -1 + 6 = -5*w. Do w and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -3*w**3 + 4*w**3 - 3 + 4 + w**3. Let m be k(-1). Let d be (m\/1)\/((-3)\/12). Solve -3*p + d*u = 10, -3*p - 4*u - u + 26 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/135)\/(((-5)\/12)\/(-5)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.5 + 0.5. Let f = 5 + -2. Let w = 11.2 + -11. Which is the closest to i? (a) f (b) w (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -74 - -73. Let m(q) = 2*q**2 + 3*q + 2. Let w be m(x). Solve w = 3*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(1300) - sqrt(1300) - (sqrt(78)\/sqrt(216))**2.\nAnswer: -49\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 19 = 9. What is the first derivative of y*d**2 + 18*d**2 + 11*d + 1 - 11*d wrt d?\nAnswer: 50*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 36, 1\/6, 5, -1472, -4\/53 in descending order.\nAnswer: 36, 5, 1\/6, -4\/53, -1472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 168*(8\/(-3) - -3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 42 and 41678.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 81 + -15?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -28114 (base 10) in base 5?\nAnswer: -1344424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9059, 9057, 9055, 9053?\nAnswer: 9051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1001101000 (base 2) in base 3?\nAnswer: 211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60 and 55311045.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -24495 divided by -6?\nAnswer: 8165\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*g - 207 = 32*g - 40*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 21404148 and 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-135)\/28)\/(-15) + 3\/7. Let z be (-1 + 3)\/10 + 0. Which is the second smallest value? (a) z (b) u (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = -2*u + 37. What is the greatest common divisor of 12 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1 + 30\/40)\/(1\/(-4)). Is 468 - 3 - (-2 + (p - 3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11193 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -396*c - 378*c - 2168 + 204*c**3 + 770*c with respect to c.\nAnswer: 612*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in eight fifteenths of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3852614 and 65232?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) -3 (c) -0.001 (d) -2 (e) -2\/15 (f) 2\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10601 + 11055. Which is the second biggest value? (a) x (b) -1\/2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 8793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand l**3 - 3*l**3 + 4*l**3 - 3*l**3 + l**3 + l**3 + (1 - 2 + 2)*(3 + 4*l**3 - 3) - l**3 + 3*l**2 - 3*l**2 + 3*l - 7*l + 3*l + l**3.\nAnswer: 5*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/6*(-36)\/(-48).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -223491 in 2\/7, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -3*d + 12. Let t be w(3). Let n(b) = -b**3 + 8*b**2 - 9*b + 7. Let q be n(7). Put q, 0, t in increasing order.\nAnswer: q, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v = -3*g + 2, 32*v - 29*v + 2*g - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzzz. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(264))\/sqrt(11)*3*2)\/((sqrt(864)*-1)\/(sqrt(8)\/sqrt(64))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*i + 10*i + 5*i - 4*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from {c: 1, s: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (1274\/196)\/(2\/4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -20712388, -41424777, -62137166, -82849555?\n\"Answer: -20712389*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is (-9495)\/(-30) - 1\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d + 22. Calculate k(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s + 4*y - 7*y - 29, 5*y + 45 = 3*s. Solve -l - 11 = -5*a, l - s = -a - a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - 4*s + 47. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-11\/3)*y*y*y)**(-39))**38 assuming y is positive.\nAnswer: y**988","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:08 PM and 9:02 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-2)\/((k*k*(k*k*k**(5\/4)*k*k)\/k)\/k)*k**(-1\/3)\/k*k\/k**(-1\/5))\/(k**(-1\/12)\/k**(1\/5)*k**7) assuming k is positive.\nAnswer: k**(-141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/1212 and 133\/15091308?\nAnswer: 1524222108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1072921917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are 505 and 505 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from ltjjnnljjnnlnnnltnnn?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 4*z**2\/3 + 180*z = 0.\nAnswer: -135, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddddbdddb. What is prob of picking 3 d?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -594, -880, -1180, -1494, -1822, -2164?\nAnswer: -2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-8 - (13 + -15)) + -14\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by -497423.\nAnswer: 2\/497423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2881)\/2838)\/(-67)*8\/(2*-1).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1110011011010011011001 (base 2) to base 13\nAnswer: -a254a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, h: 3}. Give prob of picking 1 h and 3 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of -z**7\/210 + z**6\/720 - z**4\/12 + 2*z. Let f(j) be the third derivative of o(j). Find the second derivative of f(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(304) + -3)**2 + -5 + 4 + (sqrt(209)*-3)\/sqrt(11)*-1.\nAnswer: -21*sqrt(19) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 99446995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -456695, -913391, -1370087, -1826783, -2283479, -2740175?\nAnswer: -3196871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2307543?\nAnswer: 3, 7, 109883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 21236000 a multiple of 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (46\/46)\/(2\/4)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 130276 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 6:49 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1177958 is divided by 1202?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17508 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from takcbtbaf. Give prob of picking 1 f, 1 b, and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*n = w + 275, 9497901*w - 9497902*w - 45 = -5*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - -5) + (7 - (4 - 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1146 or -1145?\nAnswer: -1145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 110111210333 (base 4) in base 16?\nAnswer: 51593f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 597 divide 29454801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.5? (a) -3 (b) 0.56 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cgt when three letters picked without replacement from ttggggxccgxtt.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 1101111000000001001011 (base 2) to base 3.\nAnswer: 20211210110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-48)\/(-108) - 478\/(-18). Let h(d) = a*d - 17*d - 12*d. Let k(u) = u**2 - 3*u**2 + 3*u**2. Calculate h(k(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/(-2) + 231\/726. Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, c: 3}. What is prob of sequence cc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -261 (c) -0.4 (d) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 3*r = -658. Let y = 99 - r. Let j(c) = -2*c**2 + 17*c + 13. Let b(a) = a**2 - 9*a - 7. Let i(d) = -5*b(d) - 3*j(d). What is i(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c**3 - 3*c**3 - 2*c**3)*(-c**2 + 2*c**2 + c**2) + 0*c**3 + 0*c**3 - 2*c**5 + c - c + 7*c**5 - 2*c**5 - 5*c**5 + 3*c**5.\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 57*v - 55*v - 2, -2*r = 4*v - 20. Suppose 5*a - 25 = 0, 4*c - 10 = 3*c + a. Solve v*m = -m + c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -115 + 114.8. Suppose -5*n = -5*y - 10, 0 = -2*y - 3*y - 3*n + 6. What is the nearest to y in 4, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 75.91 + -142.18. Let x = -66.93 + 0.93. Let z = x - m. Round z to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -653 + 555. Let n = b - -100. Suppose -2\/11*f**3 + 2\/11*f - 6\/11*f**n + 4\/11 + 2\/11*f**4 = 0. Calculate f.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 41 = 5*x, -15*s + 16*s - 5*x = 21. Which is greater: s or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12537 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 2*g - 4)*(-1 + 3 + 1)*(4*g**2 + g**2 + 2*g**2) to s*g**3 + o + u*g**2 + r*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the second derivative of -f**5\/60 + f**4\/24 + f**2\/2 + f. Let m(i) be the first derivative of o(i). Factor m(z).\nAnswer: -z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 132*t + 5. Let w(b) = 264*b + 11. Determine -13*q(d) + 6*w(d).\nAnswer: -132*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 6 - (-25 - -23 - 18)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 5*(3 + sqrt(1088) + 2 + -6*(sqrt(1088) + (sqrt(1088) - (-3 + sqrt(1088)))))**2.\nAnswer: 5200*sqrt(17) + 136849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*g**4 - 14*g**3*w**3 - 2*g**2*w**2 - 4*g*w**3 - 21*g + w**3 wrt g?\nAnswer: -72*g**2 - 84*g*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -1 + 6. Let t = 287 + -286. Which is the closest to 0.1? (a) -1 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 5*p - w - 2, 4*w - 3 = -3*p. Let h be 45\/105*(39\/(-6) - -3). Let a = 6 - 11. What is the second smallest value in h, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 divided by -7802.\nAnswer: 9\/7802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*c + 22940 = 26405 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39, -71, -103, -135, -167, -199?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f + 3. Let u be i(5). Let r(l) = 3*l**2 + 15*l + 1. What is the tens digit of r(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 89 = -i - 5*i, 2*i + 2*i - 56 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (198\/(-110))\/((-195)\/(-50)). Sort 0.4, 0.5, w, -7 in descending order.\nAnswer: 0.5, 0.4, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rjvdv. Give prob of sequence rd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u, 1 r, and 1 b when four letters picked without replacement from {j: 1, s: 1, u: 4, b: 2, r: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 4, o: 2, f: 4}. What is prob of picking 1 f and 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9200353?\nAnswer: 97, 94849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 4 + 1)*(0 + 0 + 4*p) + 2 - 2 - 2*p)*(-p**3 - 2*p**3 + p**3 + (-p + 6*p - 3*p)*(-p**2 + 2*p**2 - 4*p**2)).\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 2, -3, 1, 21 in ascending order.\nAnswer: -3, 1, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 109*g - 305 + 32 = 54. What is the closest to g in -1\/7, 0, -0.4, 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-3)\/9)\/((-2)\/3). Let v = 5.9 + -6.2. Let o = 0.057 - -0.243. Which is the nearest to -3? (a) o (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 98959761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 - 3305b?\nAnswer: -33058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 72 = 9*q, 2*g - 12 = -4*q + 20. Solve -6*n + 2*n + 12 = o, -o - 3*n + 9 = g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 100540336.\nAnswer: 2, 13, 483367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2 + 9*a - 14. Let d be u(6). Suppose -l + 2*r = d*r + 5, 5*l + 49 = -4*r. Let s = -2 - l. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 537 (base 16) in base 12?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -13397663 divided by -13397663\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-6)\/w**(-4))\/((w**1\/w)\/(w*w*w**1*w*w))*w**(-3\/2)*w**(-1)*w*w\/(w\/(w**(-6)*w))*w*w**(2\/5) assuming w is positive.\nAnswer: w**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pxcxccpcpxcccpcpppc. What is prob of picking 2 c and 2 x?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*q + 4*r + 7, -10*r = -5*q - 5*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.01 (b) 2\/15 (c) 1\/6 (d) 1\/12 (e) 33\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12 - -15. Solve 3*t + b = -s - 8, -10 = -5*s - 2*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 26825 and 18812909.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69*o + 2 - 1 - 73*o - 75*o - 38*o.\nAnswer: -117*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -524663 (base 7) in base 15?\nAnswer: -1bc68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - r + 6522 = 2*a, r + 6517 = 2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = w - 5*t + 9*t, -t = -5. Sort -5, -23, w, -2 in ascending order.\nAnswer: -23, -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -701*h + 698*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 2*t**3 - 18*t**2 + 37*t + 29. Suppose -2*d + m = -20, -2*m + 32 = 5*d - 18. What is the units digit of o(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84 a factor of 153947337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-7902)\/(-10) - (2 - 2). Let p = u + -1569\/2. Let y = p + -139\/20. What is the nearest to -2\/3 in -1\/2, y, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -26\/17717667 and 26\/48809.\nAnswer: 17717667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -157*x**2 + 157*x**2 + 25*x**3.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:37 PM and 11:47 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -3 + 2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -6\/7 - 2\/7*u + 2\/7*u**3 + 6\/7*u**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes after 4:52 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -323 - -331. What is the tens digit of d\/2*(184 - (1 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3430123 - -2343?\nAnswer: -3422230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 18 = 5*d, 10*d - 4*k = 5*d - 2. Let m = 7 + -4. Let a = m + d. Calculate the highest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*q - 4*r, 2*q + 0*r = 5*r - 25. Let p = q + 20. Let b be 5\/(-4) + p\/(-20). Let c(a) = -a**2 - a. What is c(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the first derivative of -4*m**2 + 3 - 1\/3*m**3 + 5*m. What is the units digit of q(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 3, s: 4, h: 4, t: 2, l: 1, d: 3}. Give prob of picking 1 l, 1 a, 1 d, and 1 h.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -111685643*w**2. Let x(y) = 2*y. Calculate z(x(p)).\nAnswer: -446742572*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes before 2:08 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -33*v**5 - 81*v**4 + 153*v**3 + 177*v**2 - 324*v + 108 = 0. Calculate v.\nAnswer: -3, -2, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 2*y = 3*y - 89, 2*y + 53 = 3*l. Suppose 3*t + 5*w = 45, -3*t = -2*w - w - l. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 825?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1742 and 22616654.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/(((-2)\/((-1)\/(-1)))\/((-29120)\/(-5096))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 32*w**2 + 3*w + 5. Let a be o(-1). Is a less than 176\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3810945 nanograms in micrograms?\nAnswer: 0.0003810945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.02 and 841.\nAnswer: 16.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*c = 12*c - 25*c - 90 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rvrr when four letters picked without replacement from {r: 4, v: 10}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h - 2. Let v be d(-8). Let m = -7 + v. Let f be m*(-2 + 3)*5. Which is the closest to 2? (a) f (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 245797533 divided by 261?\nAnswer: 941753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**15\/h*h**(5\/11))\/(h\/h**10*h)**(-27) assuming h is positive.\nAnswer: h**(-2217\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/594 in 2\/17, 14, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*o + 4*o - 293 - 13*o**2 + 586 - 295.\nAnswer: -13*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4447028 or -4447005?\nAnswer: -4447028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 131\/4 - 659\/20. Which is the fourth smallest value? (a) -3 (b) q (c) 1 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 465288 (base 9) to base 3\nAnswer: 112012022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -19514*r + 19841*r = -1962 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1011, -1008, -987, -936, -843, -696, -483?\n\"Answer: 2*f**3 - 3*f**2 - 2*f - 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, w: 2}. Give prob of picking 2 w and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -162.59 - -161. Let v = 0.09 + x. Let u = v + -1.5. Which is the third biggest value? (a) -2\/3 (b) u (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + d - 5 = 4, 0 = 5*p - 5*d + 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 336\/18*102\/(-136)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22955047.\nAnswer: 22955047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j + 5*j - 3*j)*(519 + 58*j - 519) - 2*j + j**2 + 2*j + (-4*j + 3*j + 2*j)*(3*j + 4*j - 6*j) - 2*j**2 + 4*j**2 - 3*j**2.\nAnswer: 117*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3\/29, -25, 24, -2277, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 3. Let x be ((-12)\/30)\/(2\/6670*-1). Let o = x + -84046\/63. Is t greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 2*j**2 - 74*j - 21. Let k be n(34). Let l be (-10)\/k*9 - 64\/10. Let v(a) = -a**2 - 7*a + 2. What is v(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dmkknkdkmndknddkmkn. Give prob of sequence dnk.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes after 1:53 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h - 227 + 52. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 510904 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppcppppc.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1768*w - 1770*w + 8840*w - 1774*w - 1772*w - 1768*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 4*j = 0, -3*z + 0*z = -4*j - 30. Let d(y) = y**2 - 5*y - 3. What are the prime factors of d(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1144 is divided by 1040.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004521100677 to 7 decimal places.\nAnswer: 0.0045211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8)\/(-6)*3\/2. Suppose 5*m + 9*m - 1568 = 0. Let w = m - 102. Solve 2 - w = -q*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -251*u + 2. Let a(s) = -255*s + 3. Calculate 6*a(g) - 7*p(g).\nAnswer: 227*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 - 6 = 65*q + 5*u - 3*u, -3*q = -4*u - 600 + 239 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 117*m = 143*m + 104 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27755 is divided by 677?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 62 + -58. Suppose -i*z = j - 5, -9 = 15*z - 12*z + 5*j. Solve -z*y + 10 = w, -4*w = -3*y + 2 + 13 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -4*j**2 - 11*j + 9*j + 6*j**2 + 4*j**3. Let g(y) = -y**3 - y**2 + y. Suppose 0 = -o - 3*o - 4. Calculate o*c(l) - 2*g(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the third derivative of -5*x**7\/126 - x**6\/6 - 23*x**5\/90 - x**4\/6 - x**3\/18 + 8*x**2. Factor y(b).\nAnswer: -(b + 1)**2*(5*b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/28 + (-3)\/(504\/(-44)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 231943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1 + 5)\/(((-40)\/44)\/(-5))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 27*o**2. Let b(q) be the second derivative of 5*q**3\/6 - 3*q**2\/2 + 2431*q + 1. Give b(u(k)).\nAnswer: 135*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 276*y - 51. Let l(p) = -11*p + 2. Calculate -153*l(f) - 6*o(f).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 8079 at least 8077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 + 2*o**2 - 5*o - 10. Let d be k(5). What is d rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*g**5 + 2027*g**4 - 30612*g**3 + 262687*g**2 - g - 99?\nAnswer: -120*g**2 + 48648*g - 183672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y - 3 + 3)*(788 - 1579 + 787)*(8*y**2 - 18*y**2 - 11*y**2).\nAnswer: 420*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Do -5\/1302 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -3320300, -6640580, -9960860, -13281140?\n\"Answer: -3320280*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 3*p - 9140006 = p, 5*p = 3*l + 5484015. What is l rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3951231 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -5730*z**2 + 464127*z + 230. Calculate l(81).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2)*(3*h - 7*h + 2*h)*(6 - 9 - 32)*(0 + 4 - 2).\nAnswer: -280*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (18 - 8 - 31 + (4 - 3 + 0)*(0 + 3 - 1))*(356*s - 442*s + 447*s) to a + h*s and give h.\nAnswer: -6859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Is 60\/495*464748 - (-1)\/(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9.4 - 50.6. Let o = -59.999937 - v. Round o to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.638*1.6\nAnswer: -1.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y - 4. Let d be o(-6). Suppose -d*i + 10 + 0 = 0. Suppose -i*r + r = -520. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -277 - -499. Is 8 a factor of d\/14 - (-2)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/(-7) + -3)\/((-32)\/(-112)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 54, 98, 156, 234, 338, 474, 648, 866?\n\"Answer: t**3 + t**2 + 34*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 5, -13, 429, -5 in descending order.\nAnswer: 429, 5, 3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5712 - -17162. List the prime factors of f.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**2 - 8*g - 9. Suppose -45 = -7*z + 2*z. Let x be i(z). Let t(b) = b + 10. Is t(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 3*a**3 - 6*a - 5. Let g(h) = 6*h**3 - 13*h - 11. Let q be -6*(-1)\/(-2) + -3. Let f(k) = q*g(k) + 13*x(k). Differentiate f(o) with respect to o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1, 215\/7, -35, 2, -5\/4, 5 in ascending order.\nAnswer: -35, -4, -5\/4, -1, 2, 5, 215\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -91, -149, -245, -379, -551?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 2\/11 (b) -3 (c) 5 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/3)\/(t\/t**(-3\/4)))**10*(t\/(((t\/(t\/(t*t**(2\/7))))\/t)\/t))**(-21\/4)*t\/t**(-5\/2)*t*t*t**(-4)*t*t assuming t is positive.\nAnswer: t**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + 243e?\nAnswer: 2439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4021553 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -1 + -1 + 27 + 0 is divided by ((-45)\/(-25))\/((-2*1)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 - 15*o**2 - 3*o + 7. Let j be z(-7). Let b be (-1 - (-1 - 0))\/(-88 - -79). Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3317602 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.14 + 0.18. Let t = -2.9177 + -0.0823. What is the third smallest value in -0.07, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - -2070454.253811.\nAnswer: 2070453.253811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 2. Let p = -72 - -74. Sort w, 3, p.\nAnswer: w, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m + 9787104. Let f(x) = -2*x. Give n(f(c)).\nAnswer: 2*c + 9787104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/5 or 936159?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, e: 3, d: 3}. What is prob of sequence yeee?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2*v + 6*v - v - 2*v. What is the units digit of f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 4*n = -n - 15, -2*u - 4 = n. What are the prime factors of -5 + 41 + 1*u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 117*y + 50760 = 172*y + 375*y - 70*y for y.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 13, 5, -56, 1, -1 in ascending order.\nAnswer: -56, -5, -1, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be (8 + 1)\/(12\/(-8)). Let k(m) = -7*m + 1. Let q(f) = 48 - 42 + 8*f - 7. Give g*k(z) - 5*q(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -18418 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 72\/(-6)*(69\/(-5589))\/(-3*1\/18)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 5*g. Let v = 734 + -734. Let j(r) be the third derivative of 0*r**3 + 0*r - 1\/60*r**5 + v - 6*r**2 + 0*r**4. What is j(m(h))?\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16)\/(-36)*199\/(-199)*2\/64*4.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 6) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.1653 - -16.8347. Put -1, -4, 5, c in descending order.\nAnswer: c, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/32 and -44\/12759?\nAnswer: 408288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 2*a - 977, j = -5*a + 1805 + 597. Suppose k - 22 = a. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t**2. Let l(i) = -16 + 11*i**2 + 7 + 9. Calculate l(k(b)).\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 4*d**2 - 5*d + 6. Let y(x) = -2*x + 6*x**2 + 4 + 5 - 6*x. Suppose -4*g = -4 + 24. Determine g*y(l) + 8*u(l).\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 147*d - 161. Let o(l) = l. Let j(b) = g(b) + 35*o(b). Does 7 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 362 + -266. Suppose 0 = -66*s + 69*s - c. Calculate the highest common factor of s and 320.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 3*h + 2*y - 129976, 4*y = -3*h + 129971. Let p be (h\/20)\/((-1)\/(-8)). Round p to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 72447945 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -373 - -354. What is the fourth biggest value in -0.9, 1\/3, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17127 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1)\/(-3) - 1)*-6. Suppose -3*r - 4*p - 58 + 243 = 0, 3*r = 5*p + 140. Suppose -b - m*b + r = 0. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*j**4 - 15150*j**3 - j**2 - 2*j - 5802 wrt j?\nAnswer: 24*j**2 - 90900*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -287\/3664?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be -28 - -18 - (-64)\/4. Solve -4*z + w*z - 3*i = -3, i = -2*z - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 1 + 4 + 14*s**3.\nAnswer: 14*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkbbbsbbbsbkbk. Give prob of sequence ks.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 422 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -798 divided by 6?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**2 - 69*y - 1084. What is w(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 - 2*i**2)*(-144*i - 169*i - 98*i + (3 - 3 + i)*(-6 + 2 + 3)) in the form h*i**2 + o + f*i**3 + s*i and give f.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 0*a - 2*a + a + 2*a. Let k be 4 + 1 + (8 - 10). Suppose -m = 5*h - 31, -5 = 2*m - k*h - 2. What is n(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 79*q**3 + 9*q**2 + 45*q - 205. What is the tens digit of l(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.01 and -157?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -34559 <= -34540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 + 18. List the prime factors of (-54*a\/(-264))\/((-3)\/(-1960)).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - 19) + 14 - -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(168)\/sqrt(8))\/sqrt(3).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 310376 - 176017 = 7504*l - 325865 - 477776 for l.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -11357*m - 11351. Let y be l(-1). Let q be 4\/(-1)*(-10)\/8. Sort y, -0.2, q, 2 in increasing order.\nAnswer: -0.2, 2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 + 7*p**2 - 192*p + 224. Calculate z(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*s**5 + 2841*s**4 + 115089*s**3 - 1876953*s**2 + 2597316*s + 1346532 = 0. What is s?\nAnswer: -101, -2\/5, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 57 and 547707?\nAnswer: 10406433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*o - 281962 = 363518. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 129 + (9 - (-4 - -8)). Suppose -5*k - 103 + 773 = -2*i, 5*i = k - h. Calculate the smallest common multiple of k and 33\/(-2)*(-4)\/3.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than 2\/439013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = 6*n - 7*n. Let p = 55 - n. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p\/((p**(-26)*p)\/p))\/p)\/p*p*p**(-25))\/(p**(-33)*p**(1\/19)) assuming p is positive.\nAnswer: p**(645\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 + 6*q**2 + 5*q. Let u be n(-5). Let x be 2\/2 - 3 - u. Is ((-2)\/x)\/1 - -6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16 - 8. Let w(c) = -2*c**2 - 30*c + 99. Let n be w(-12). Suppose -n = -h*d - d. Solve -5*a = i - d - 6, -4*i + 5*a = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -523.1 + 523. Which is the closest to 112? (a) -2\/7 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-35 + 2 - (286 + -302)) + -38.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r - 14. Suppose 0 = 37*p + 15*p - 832. Determine v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 151001 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 3 j when four letters picked without replacement from xjjjxxjxjx.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - 53 - 12. Let b be (1\/3)\/(v\/(-156)). What is the smallest common multiple of -20*(-1)\/b*3 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 128\/(-45) + (-12)\/(-30). Let a = r + -1. Calculate the common denominator of 1\/(-3) - -1 - 5928\/(-2016) and a.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from yxyyxxy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10 - 10.1. What is the biggest value in a, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 52163 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -4, 40, 2, -5 in increasing order.\nAnswer: -5, -4, 2, 13, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((75 - -1) + 0)*(-3)\/6. Let q = g - -40. Suppose -3 - 12 = -3*a, q*x - a = 171. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -a - 2*a + 0*a + 46 + 5*a.\nAnswer: 2*a + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*k**3 - 2*k**3 + 2*k**3)*(6 + 11 + 5).\nAnswer: 176*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -311 - 429 + 20 - 10 - 1522*k**3 - 65 wrt k.\nAnswer: -4566*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 7*q**2 - 2*q + 4. Let l(u) = -12*u + 51. Let s be l(5). Let x(y) = -3*y**2 + y - 2. Let d(p) = s*x(p) - 4*k(p). Factor d(m).\nAnswer: -(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -177 * 909.175.\nAnswer: -160923.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, k: 4}. Give prob of picking 2 k.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -216815 - -333882. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 42 and 126\/45*-34*((-30)\/4)\/1.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -13446 divided by 1494\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 248 and 63643?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24)\/20*-5*10\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 16*f - 12*f + 3*y - 11, 5*f + 20 = 3*y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.1 - -4.9. Let q = -2.2 - -0.2. Which is the second smallest value? (a) 1\/35 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r - 4. Let b(q) = -5*q + 11. Let n(f) = 4*b(f) + 11*j(f). Is n(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65)*-3*3 - sqrt(65) - (sqrt(65) - (-2*sqrt(65) + sqrt(65) - sqrt(65)))*1)\/(1*((sqrt(605) - sqrt(605)*2)*6 - sqrt(605)))*-4.\nAnswer: -52*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*j + 402 - 40*j + 21*j - 200 - 202.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0\/((-2)\/((-2)\/2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*v + 15*v = 12*v + 247 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = u + 2590, u = 3*d - 4*d + 1298. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 736 divide 3138382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (7*b - 2*b - 3*b)*(55*b + 90*b + 24*b - 37*b) in the form i*b**2 + h + a*b and give i.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2764 - 4775. Let s = f - -4620. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = y + 107, -3*r = -8*r + 5*y + 115. What is the remainder when 101 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1729 - -1728.9. What is the second smallest value in f, 763, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9587799 and 114798?\nAnswer: 1016306694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -80 - -128. Let q = -44 + g. What is the nearest to -2\/7 in -1, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 25.62.\nAnswer: -76.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 1907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 667 and 229335944.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*d - 97 = -124. Solve d = -m - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 4*c = 230 - 410, x + 5*c = 3. Let f be (-2 - -2) + 14 - 2. What is the greatest common divisor of f and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -1. Let b(q) = -q - 5. Let l(a) = 3*a**2 - a - 4. Let x be l(2). Let r be (0 + -3)\/(2\/x). Calculate r*k(s) + 2*b(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1129260959*q**2 + 1026910943*q.\nAnswer: -2258521918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -117*a**3 + 2*a**2 - 2*a - 1. Is 10 a factor of g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/8)\/(4\/8)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*q**2 - 3*q + 10 - 24*q - 11 + q**4 - 3*q**2 to r*q**3 + k + l*q**4 + n*q**2 + b*q and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2136 and 1869.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4816435.\nAnswer: 5, 13, 74099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*l + 158 + 611 = -132 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 33 + 0 + -3 + 504 + -485?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -39618.\nAnswer: 1\/39618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 156946444, 156946443, 156946440, 156946435, 156946428, 156946419, 156946408?\n\"Answer: -j**2 + 2*j + 156946443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 16d0dd18 - 1?\nAnswer: 16d0dd17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 933049370?\nAnswer: 2, 5, 11, 67, 126601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 16838*f*g**3 + f*g**2 - 284*f*g - 19*f wrt g?\nAnswer: 101028*f*g + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -82 - -77. Which is the closest to -0.2? (a) l (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1059*k**2*y**2 + 56498*k**2 + 12*y**3 wrt y.\nAnswer: -2118*k**2*y + 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 2*sqrt(847) - (-1 + (sqrt(112) + sqrt(7))**2 + sqrt(7))*4.\nAnswer: -694 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from uuuqq?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes before 12:06 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9323800.\nAnswer: 2, 5, 46619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 280 and 14945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -417631842 divided by 46403538\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24 and 15624.\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-10)\/15 + 1 - 12\/(-18). What is the second biggest value in x, 0, -0.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 829881277 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -2\/23 (b) 0.3 (c) -311 (d) 3 (e) -4 (f) 1 (g) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.015 and -2622096?\nAnswer: 39331.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 51264 and 519696.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7293243 - 2952243. Round q to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3995 or -0.2133?\nAnswer: -0.2133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1114 - 409. Let b = h + -354. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -2\/3 (b) 69 (c) 3\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 + 0)\/((-11)\/11)*-30. Let x(z) = z**2 - 253. Let g be x(0). Let k = q - g. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*x**4\/5 - 22*x**3\/5 + 14*x**2\/5 + 22*x\/5 + 4\/5 = 0 for x.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 51.56929 kilometers to nanometers.\nAnswer: 51569290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzznnzz. What is prob of sequence zz?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the third derivative of -7*f**4\/24 - 26*f**2. Let g(k) = 3*k + 0*k**2 - 3*k - 2*k**2. Determine y(g(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xagaaxnxggngna. Give prob of picking 1 a and 3 n.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 31, 143, -3\/5 in descending order.\nAnswer: 143, 31, 3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 4*v + 12 = 0, -16*n + 8*n + 326 - 38 = -11*n - 50*v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8796? (a) 0.3 (b) -1 (c) -7\/10 (d) 3 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -324*t**3 - 161534448*t**2 - 20132809994944*t + 241616981459712 = 0.\nAnswer: -2243588\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -927 - -11263. What is the thousands digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the first derivative of -4*x**5\/5 - 135*x**4 + 4*x**3\/3 + 270*x**2 + 787. Factor c(m).\nAnswer: -4*m*(m - 1)*(m + 1)*(m + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from ooououoquoouuouoo?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**2 - s - 1. Let o(k) = 140*k - 142*k - 1 - 4 + 8*k**2. Let x(r) = -5*a(r) + o(r). Let z be 4\/(-3) - 4\/6. Give x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*d**3 + 2600*d**2 - 3445*d + 860 = 0. What is d?\nAnswer: 1\/3, 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 12\/(-9)*(1 + 2065\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from tnnnnnnnntnntn.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-10))\/((-45)\/30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from sjssiee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0006 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -42 + 42.3. Which is the third biggest value? (a) z (b) 10 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -664 or -657?\nAnswer: -664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -657 + 659. What is the lowest common multiple of 4214 and h?\nAnswer: 4214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/2*133\/(-14). Suppose 0 = -17*f + v*f - 6. Solve -f*n + 6 = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5183\/13374 - -1\/743. Let r be (-7)\/((-42)\/18) - 26\/9. Let s = u + r. Which is the smallest value? (a) -1 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 17 = -r, -9*r = -11*r - 6. Let c be ((-3)\/y)\/(((-24)\/(-32))\/(-3)). Solve -2*l - 8 = -3*m, -5*l + 8 = 5*m + c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50885831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-32)\/24*5\/((-30)\/27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 103408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let 2*z**4 - 36*z**2 + 162 = 0. Calculate z.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5305, -0.13, -452?\nAnswer: -5305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the first derivative of d**3\/3 - 3*d**2\/2 + 4*d - 22. What is v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -41.1 - -49.3. Let c = -1 + 8. Let n = z - c. Is n greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 + 2. Let x = 15 + -21. Let o be z\/x*8*33. What is the highest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -3*k + w, -k + 5*k + 6 = -5*w. Let p = 1 - 5. Let x be (p\/10)\/(1\/(-10)). Sort -2, x, k in descending order.\nAnswer: x, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -536012 + -22?\nAnswer: -536034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2320279.\nAnswer: 13, 17, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -461*j + 1852 = -397*j + 444 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 72078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y**2 - 11*y**2 + 3*y**3 + 57*y**2.\nAnswer: 3*y**3 + 44*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 30276 and 0.12.\nAnswer: 3633.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 14 divided by 74202252?\nAnswer: 7\/37101126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -23 + 25. Let f = -4\/3 + d. What is the nearest to f in 0.4, 0.04, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3.8 * 4.136\nAnswer: -15.7168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 + -3. What is i in 4*i**q - 2*i**4 - 7*i**3 - i**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 130615695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 67\/4, 7\/5, 27339\/7 in decreasing order.\nAnswer: 27339\/7, 67\/4, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**3 + 3*u**2 - 10*u - 16. Give g(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70 is divided by (-4)\/(-8)*(-532)\/(-38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 153310525.\nAnswer: 5, 19, 23, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 164378 take away -1194756?\nAnswer: 1359134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 3\/340 (b) -1.2 (c) -9.6 (d) -0.06 (e) 0.3 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -45 (b) 0.36 (c) 75 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 47, 7, 645 in ascending order.\nAnswer: 7, 47, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - y = 9 - 3, -3*y - 6 = -2*p. Let h(n) = -2*n**2 - n + 2. Give h(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**13*g)\/(g*g**(6\/13))*(g\/(g*g\/(g\/g**5)))\/(g*g**(5\/7)\/g*g*g) assuming g is positive.\nAnswer: g**(439\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*z - 154 - 48 = 62. Let p(w) = 115*w - 689. Calculate p(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*j + 41 = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 1094*k - 721*k - 700*k in the form n*k + r and give n.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 79609386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 7, -39, -3.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 89153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + (6\/(-27) - 238\/306).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**3 - 3*f**2 - 5*f + 2. Let p be j(4). Let g be 50\/30 + -1*p\/6. What is the second derivative of 15*b + 4*b**g - 14*b**2 - b - 8*b**2 wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*y**4 + 4*y**4 - 4*y**4 + 3*y**4 + 4*y**4 - 4*y**4 - y**4 + y**3 - y**3 + (2*y**4 + 3*y**3 - 3*y**3)*(-2 + 1 + 2) + 1 - 2*y**4 - 1.\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*c*s**3 + 15*c*s**2 - 154900*c + 1372*s wrt s.\nAnswer: 6*c*s**2 + 30*c*s + 1372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75 + 78 = 3*q. Calculate the remainder when 57 is divided by 2\/(4*q) + 184\/16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k - 16 - 308 = 0. What is the third derivative of g - 35*g**5 + g - k*g**2 - 2*g wrt g?\nAnswer: -2100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2008268 a multiple of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -12, -127, -442, -1059, -2080, -3607?\n\"Answer: -17*f**3 + 2*f**2 - 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 - -64a?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 157\/4704 and 71\/10290.\nAnswer: 164640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, i: 4, c: 2, m: 2, z: 2, x: 3}. Give prob of picking 1 r and 3 i.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 277236291?\nAnswer: 3, 92412097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -14, -40, -92, -176, -298, -464, -680, -952?\n\"Answer: -k**3 - 7*k**2 + 2*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.03 and -4.1478.\nAnswer: 0.124434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c + 2*z - 14849990, 0*c - 24749990 = 5*c - 2*z. What is c rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 276 = -3*h + 294 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 286, -38, 4, -3 in increasing order.\nAnswer: -38, -4, -3, 4, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -604, -577, -512, -391, -196, 91, 488, 1013?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the first derivative of 1\/3*y**3 - 5\/2*y**2 + 0*y + 2. Is t(8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.7 - 45.3. Let m = f - -14. Let a = 32.14 + m. Is 0.1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -84841326304 + 3.\nAnswer: -84841326301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*m - 30*m - 2*z = 14, 0 = 4*m - 5*z - 35. Suppose -12\/5*p + 3*p**3 - 9\/5*p**4 + 9\/5*p**2 + m - 3\/5*p**5 = 0. Calculate p.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2175, 17523, 59271, 140625, 274791?\nAnswer: 474975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 15 - (8 - (-10 - -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*m + 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 217*(512\/1280)\/((-21)\/30)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - -19 - 6 - (-7 - -14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -13*i**3 - i**2 + 142*i + 142. Let v be c(-1). Let t be 1 - (0 - 1*4). Solve 0 = -t*d + 8 + v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 PM and 7:16 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**2*n\/n**(2\/27))\/((n\/(n\/(n**(-1\/6)*n)))\/n)**23 assuming n is positive.\nAnswer: n**(365\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j**2 + 2*j**2 + 2*j**2)*(-1 - 2 + 1)*(-2 + 0 - 1) + 10 - 3*j**2 - 10.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 + 9 + 119*d.\nAnswer: 119*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 600376 < 600540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58 = -11*r - 162. Let u be 4\/r*(2 - -3). Let p(g) = g**3 - 5*g**2 - 5*g - 8. Let v be p(6). Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -244\/65 + 54\/13. Which is smaller: m or 20?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -15443, -61570, -138393, -245912, -384127?\n\"Answer: -15348*m**2 - 83*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 124*p**2. Let x(m) be the third derivative of -m**5\/30 + 387*m**2. What is w(x(j))?\nAnswer: 496*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -7343 = 6635*n - 108039 - 107476 - 37323 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + 1. What is the second derivative of 8*n**2 - 3*n**2 + 2*n - 3*n - 2*n**q wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1354781 micrograms in grams?\nAnswer: 0.0000001354781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*m - 2*m = 0, -5*m - 4 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**3 - 11*i**2 - 12*i + 2. What is t(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - -2) + 4 - (24 + -31).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, i: 1, k: 1, v: 5, a: 1, y: 4}. What is prob of sequence vv?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-180)\/(-160)*1\/3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -816.6, 3, 1, -5\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**2 + 47*v + 273. Calculate g(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -22 + 6. Suppose 72 = 5*m + 52. What is the first derivative of 2*v**m - s + 3 - 2*v**4 - 7*v**4 wrt v?\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72*w = 5*w + 10519. What is the remainder when w is divided by 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**2 + 3*w - 32. What is p(7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59971580 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/8 - (99\/(-12) - -2). Suppose -g - 6 = 2*k. Let r(x) = 282*x + 273*x - 5 + x**2 - 551*x. Give r(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14729\/(-4532))\/(6\/16).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 292 is divided by 132?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**3 - 11*m**2 + 18*m - 13. Let g(c) = c**3 + 10*c**2 - 4*c - 31. Let x be g(-10). Let n be d(x). Let z = n + 76. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qur when three letters picked without replacement from {r: 7, p: 1, d: 2, u: 4, q: 1, j: 3}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (0 - 0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = 4*h - n, 7*h + 42 = 10*h - 3*n. Calculate the smallest common multiple of h and 10 - (2 - (2 - 2)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**2 + 30*n + 199. Let k be s(-8). Solve 93 = 10*i + k for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 306.8 and -93?\nAnswer: 399.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.107848+0.843\nAnswer: 0.950848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 41097148 and 1268.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((15675\/152)\/11)\/(153\/(-918)*6\/(-8))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -p + 2*s, 2*p = -p + 5*s - 11. Suppose -3*o - 16 + 91 = p*k, 5*k = 0. Solve 1 + 9 = -3*x + 5*j, -o = -5*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 48206 + -48098. Let f(a) = -5*a + 6. Let g be f(-6). Calculate the highest common divisor of o and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2312132 - -23?\nAnswer: -2312104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = b - 2. Suppose -3*k = g - 3, 0*g - b*g + 21 = 3*k. Let s be 6\/g*-2*-3. Solve 2*t + s*x = -18 - 4, 21 = -t - 4*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 232515034?\nAnswer: 2, 116257517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 5*b + 32 = 19, 4*f - 18 = -3*b. Solve 0 = -22*s + f*s - 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -2*f**2. Let b(n) be the second derivative of -n**4\/12 + n. Let j(c) = 3*b(c) - z(c). Let l(d) = 2*d. Determine j(l(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -391.87 - 2.13. Let i = -394.0000006 - m. What is i rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31463 is divided by 1161?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -15 - -13. Let o = u + 8. Let p(c) = -c**2 + 6*c + 2. Let l be p(6). Solve -l*b - 2 - o = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 4*u - 14 = 0, -a + 14 = -4*u - 8. Let j be a\/2 + 9001\/(-1). What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 30410675 * 0.04.\nAnswer: 1216427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -678, -761, -862, -987, -1142, -1333, -1566, -1847?\nAnswer: -2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1\/(-2)*0)\/1. Suppose -3*v + 27 = -5*l, -3*v - l + 11 - 2 = t. Suppose -a = -3*a + v. Is 2 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -51456 and 5.\nAnswer: -257280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -5497*q + 2731*q + 6474 = -2600*q for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*b**2 - 61*b**2 + 954*b + 28*b**2 + 11*b**2 - 954*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -12116000 to the nearest 100000.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*c**2 - 46112*c - 8287140.\nAnswer: 4*(c - 11705)*(c + 177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -3000000*k - 3. Let h be u(-5). Suppose -3*o + 4*q + 22500004 = 0, -2*o + 0*o + h = 3*q. Suppose -d + o = -0*d. Round d to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) -263717 (c) -0.3 (d) -1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c - 5*o + 124, c - 2*o - 3*o - 6 = 0. Let r be (-2)\/(-13) + 48\/c. Solve 2*k - k - 5*n - 9 = 0, r*k = 5*n + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -16*m + 5. Let h be t(-4). Let f = h - 52. What is the third derivative of 0*j**5 - f*j**5 - 17*j**5 - 3*j**2 - 31*j**2 wrt j?\nAnswer: -2040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 154 - 149. Which is the fourth biggest value? (a) k (b) 0.04 (c) 0.03 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + a + 7 = 6*a, 2*u + 3*a = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8905, 17795, 26665, 35515, 44345, 53155, 61945?\nAnswer: 70715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 1 + 0 - 5 + 4 - 253*y as m*y + p and give m.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1642132 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-672)\/(-1176)*(-35)\/740.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 - -3. What is the derivative of -a*n - 5 + 2 + 1 wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 + 0. Let z be 10\/3 + 6\/9. Suppose 67 + 103 = 2*w - 2*r, -r - 325 = -z*w. Calculate the highest common factor of d and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -104433 + -2?\nAnswer: -104440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p + 27. Let i(k) = 7. Calculate 9*i(c) - 2*r(c).\nAnswer: -2*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10 or 91\/10?\nAnswer: 91\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 714168 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = 2*g - 43, -2*a + 19 = g - 2*g. Let s be (-2)\/a + (-40)\/(-18). Suppose -2*p + s + 2 = 0. Solve -4*h + 2 = r - 2*h, -2*h - p = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(5\/3)*u\/((u**0\/u)\/u)*(u\/u**(-2\/9))\/((u\/u**(1\/4))\/u) assuming u is positive.\nAnswer: u**(221\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 163 is divided by 79?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1098 + 5*t**3 - 1098.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 147 a factor of 981340689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.056643 + 0.2?\nAnswer: 0.143357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/(5 - 4 - -1). Suppose -2*t + 7*t - 70 = f. Is 3\/((t\/40)\/7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.038 - -9.0711546?\nAnswer: 9.1091546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5.056 - -0.056. Let p = -5.1 - -0.1. Let n = 4 + p. Which is the closest to k? (a) n (b) 2\/7 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -49*g + 3722. What is the remainder when 273 is divided by u(75)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 13) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -201534895*c*z**3 + 241287*c*z + 3*c - 4*z**2 - 10*z wrt z?\nAnswer: -1209209370*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 89506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let 2*t**5\/13 + 288*t**4\/13 + 16072*t**3\/13 + 431420*t**2\/13 + 5528022*t\/13 + 26947396\/13 = 0. What is t?\nAnswer: -37, -19, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -4820*w**3 - 9230*w**2 + 758*w + 2. Let p(u) = u**3 + u**2 + u - 1. Let z(b) = 2*o(b) + 36*p(b). Suppose z(d) = 0. What is d?\nAnswer: -2, 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 686804668 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-57)\/2*(-4)\/3. Suppose -3*r + 2*t = -2*t - g, 3*t - 44 = -5*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 68255000 to the nearest 100000.\nAnswer: 68300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(432) + -2*sqrt(432)*-3)\/(sqrt(225) + sqrt(225) + 2*sqrt(225)*-2))**2.\nAnswer: 1764\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 102, 183, 254, 309, 342, 347, 318, 249?\n\"Answer: -n**3 + n**2 + 85*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-42 - -46) + 1 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s = -p - 20, 10*s - 4*p = 9*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z**2 + z**2 - z**2)*(-6*z**2 + 0*z**2 + 3*z**2) + z - z + 2*z**4 + (-3*z**3 + z**3 + z**3)*(-z + 4 - 4).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 1\/8, 139, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -19*m**3 + 0*m**3 - 2*m + 77*m**3 + 220 + 6*m**2 - 216 as c*m + n + o*m**2 + s*m**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.04 and -6.6.\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3.7 + 12.7. Let i = 0.7 - w. What is i rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = 2*u + 4*u. Is 39 a factor of (224\/35)\/(u\/(-105))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*x**4 + 1728*x**3 + 20364*x**2 + 33552*x - 162432 = 0. Calculate x.\nAnswer: -564, -8, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 348970, 1395900, 3140784, 5583622, 8724414, 12563160, 17099860?\n\"Answer: 348977*d**2 - d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 245*q - 242*q - 58 = 5*j, -520*q = 3*j - 13532 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*k - 19*k + 36*k.\nAnswer: 65*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*r + 7 - 37*r + 61*r**5 - 3 - 6 + 2*r**2 wrt r?\nAnswer: 1220*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-13*d - 1 + 45*d - 20*d)*(437*d + 206*d - 373*d - d**2) to u*d**3 + m*d**2 + n*d + h and give n.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -41742.937 + 41697. Let m = f - 0.063. Let c = -45.999845 - m. What is c rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56713900 rounded to the nearest one hundred thousand?\nAnswer: 56700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 20*l**4 + 16248*l**3 + 1002064*l**2 - 1635192*l + 616860 = 0.\nAnswer: -745, -69, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2b - -1bb?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 2.7934*0.2\nAnswer: 0.55868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -108 - 2. Let o = 113 + n. What is the second biggest value in o, -1\/10, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 200 and 8050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/(-84))\/(31\/310).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*(-6)\/(-36)*2 + (1 - 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 84 a factor of 36829898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-26)\/91 - (-10)\/(-14) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 183975 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-5 + (-4 + 3 + sqrt(1008) - sqrt(1008)) + (sqrt(1008) - (-2 + -1 + sqrt(1008)) - (sqrt(1008) + -1 + sqrt(1008) + -4))))**2.\nAnswer: -384*sqrt(7) + 16144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/(q**11*q))*q*(q\/((q**(2\/39)*q)\/q)*q)\/q*q)\/((q\/(((q\/(q*q**(6\/5)))\/q)\/q))\/((q**(4\/5)\/q*q)\/q)))**(-1\/6) assuming q is positive.\nAnswer: q**(-2057\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 0 (b) -1522594 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13 - 24 + 12*m + 55 - 18.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/32 and -25\/456.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 66 - 64. Suppose 3*c - 370 = -0*j + j, 236 = 2*c + l*j. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of -j**8\/168 + 86*j**7\/175 + 119*j**6\/300 - 392*j**5\/75 + 17*j**4\/5 + 208*j**3\/15 - j**2 - 1078*j. Let d(r) = 0. Calculate r.\nAnswer: -2, -2\/5, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 78025074.3 rounded to the nearest 1000000?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 1 q when three letters picked without replacement from {k: 2, q: 5, v: 6}.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g**2 - 30*g - 80 = 0. Calculate g.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 2*u + 43 = 0, 2*o - 2*u = -4*u + 16. Let q = 35 - -55. Suppose -2*d - 4*d + q = 0. Calculate the remainder when d is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6704 - -1763154\/263. Let w = 2363\/526 + n. Factor 3 - w*o - 21\/2*o**3 - 18*o**2.\nAnswer: -3*(o + 1)**2*(7*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -25*h**2 - 4*h - 1. Let t be m(3). Let l = t - -526. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -125*h**2 - 3763*h - 102. What is r(-30)?\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -70 - 26754.\nAnswer: -26824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1332 + 2292. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-3\/5)*r\/(r*r\/(r**(-1\/11)*r))*(r*r\/(r\/r**(-5)))\/(r\/(r*r**(-7)*r*r)))**(-12) assuming r is positive.\nAnswer: r**(6396\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2749, -10959, -24571, -43531, -67785?\n\"Answer: 9*k**3 - 2755*k**2 - 8*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 71 in 0.1, 19, -1, 5, -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3202 (base 4) to base 2.\nAnswer: 11100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -361*z + 2244 = -57*z + 116 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - 14) + (19 - (-4081)\/(-273))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 385*h - 393*h = -264. What is the remainder when 197 is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 2*f - 1536 = -2*a, -3*a - 3*f = -927. Calculate the remainder when a is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/15))**(-39)\/(v**(1\/31))**(-1\/17) assuming v is positive.\nAnswer: v**(-6846\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(((y**3*y*y*y)\/y)\/y))**40 assuming y is positive.\nAnswer: y**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**4)**(2\/43))**12 assuming p is positive.\nAnswer: p**(96\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 25595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (26\/(-65))\/((-36)\/(-15))*-6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 33*b + 235 + 128 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 215 != 956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o*o**(-1)*o*o)**(-13))**(7\/11) assuming o is positive.\nAnswer: o**(-273\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 + 49. Suppose 3*u - f + 7 = -4*n, -u - 4*n = 0. Is 2090\/7 - 5\/(140\/u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 236 - 258. Let f be 57\/(-3762) - 4\/m. Put f, 0.027, 5 in descending order.\nAnswer: 5, f, 0.027","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 0*t = -165. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 36486 + 3634 = -1003*p for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 35b3 - 353?\nAnswer: 3260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-9)\/18)\/((-7)\/906). Let m = r + -65. Suppose 0 = 3*u - 1 - 2. What is the closest to u in m, 3, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, l: 2, y: 3, j: 10, p: 1}. Give prob of sequence jj.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -92 + 49a?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 188957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-11)\/(g\/(g*g\/(g\/((g*(g**5*g)\/g*g)\/g)))) assuming g is positive.\nAnswer: g**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -2*w**3 - 52*w**2 + 52*w - 54. Let c be l(-27). Which is smaller: c or -6\/287?\nAnswer: -6\/287","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {a: 11, f: 2, g: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the first derivative of 0*s**2 - 2\/3*s**3 - 3 + 0*s. Let t(u) be the first derivative of 19*u**2\/2 + u - 1. What is k(t(d))?\nAnswer: -722*d**2 - 76*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 507 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.9 in -4, 2\/35, 0.005, 0.4, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 + 12*h**2 - 11*h - 1. Let u be y(11). Let o = 4 + -3.5. Let q = -0.1 + o. Sort u, 0.1, q.\nAnswer: u, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/(-6))\/((-10)\/(-45))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-4 + (sqrt(156)\/(sqrt(192)*1) - 3*(0 + sqrt(13) + sqrt(13))*5)**2 + -3)*-1.\nAnswer: 183981\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, y: 1, v: 2, a: 2}. What is prob of sequence yv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-32)\/912*-19)\/(2\/(-21) - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 27564 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*g**2 + 3*g**2 + 0*g**2)*(-g**2 - 4*g**2 + 4*g**2) + (-2*g + 0*g + 3*g)*(18 - 18 - 2*g**3).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 12 + 11 = 0. Let z = 13 - 22. Let p = z - -13. Put h, 5, p in descending order.\nAnswer: 5, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14 - -45. Suppose 5*o - a + 11 = 0. Factor 0 - 11\/2*w**3 - 15*w**o + 6*w**2 + 2*w + 25\/2*w**5.\nAnswer: w*(w - 1)**2*(5*w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 2.2 * -0.274452\nAnswer: -0.6037944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (74\/(-8))\/((-918)\/(-48)). Let a = j - -12\/17. Factor -a*r**3 + 2\/9*r**2 + 0 + 2\/9*r - 2\/9*r**4.\nAnswer: -2*r*(r - 1)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*v - 16 = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -9 (b) 2\/9 (c) -0.12 (d) -0.1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = g + 56, -4905*f + 4*g = -4909*f - 64 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1*3)\/((-6)\/(-20)*5). Suppose -30 = 4*p - n*r + 16, 0 = p + 4*r - 2. Is p at most -39\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*g - 4*q, 5*g + 22*q - 50 = 17*q. Suppose 0*p = g*p - 39222. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3104*q**3*y**3 + 2*q**3*y - 16*q**2*y - q*y**3 - q*y - 40418*y**2 + 8 wrt q.\nAnswer: 18624*q*y**3 + 12*q*y - 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -952*a**5 + 271335*a**3 - 930122*a + 34 wrt a?\nAnswer: -19040*a**3 + 1628010*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vmj when three letters picked without replacement from {m: 1, v: 1, j: 1, b: 1, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 984, 5536, 17568, 40818, 79024?\nAnswer: 135924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -2*s. Let w(a) = -9*a + 5. Let j(h) = -13*h + 7. Let v(f) = -5*j(f) + 7*w(f). Calculate v(z(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -104*l + 108*l - 4. Let w be (l\/2)\/(1\/(4\/8)). Factor 0*s - w*s**3 + 1\/4*s**5 + 0 + 1\/2*s**4 - 1\/2*s**2.\nAnswer: s**2*(s - 1)*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes after 3:14 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9406.\nAnswer: 2, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4437*b**3 + 2*b**2 + 4814.\nAnswer: 13311*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11\/22*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 3 + 3)*(-6*u**3 + 37*u**2 - 37*u**2) + (3*u - u - 5*u)*(5*u**2 - 6*u**2 + 0*u**2) in the form h*u**2 + i*u**3 + g*u + f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-72)\/20*2 + (-12)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -66*-16.3.\nAnswer: 1075.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 0.124, 1, 1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (33\/66)\/((-2)\/(-272))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11095 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 1.1, 1.908, -82 in descending order.\nAnswer: 1.908, 1.1, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1031\/333 - -57\/37. Let t = -52\/45 - a. Let v be ((-200)\/(-45) + -4)\/(8\/6). Sort v, t, -1 in decreasing order.\nAnswer: t, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 26278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 + -2 - -3) + (-50)\/(-25). Solve -1\/3*v**2 - 4\/3*v**p + 7\/6*v**3 + 0*v + 1\/2*v**5 + 0 = 0 for v.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4, -2, -8, -14, -111 in ascending order.\nAnswer: -111, -14, -8, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1))**(-6\/13)*p\/(p*p*p\/(p\/(p**(1\/8)*p)))*p*p\/p**3 assuming p is positive.\nAnswer: p**(-277\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0005838785407 to 5 decimal places.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 84031 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, 9.15, 23, -107\/5 in decreasing order.\nAnswer: 23, 9.15, -1\/2, -107\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 532 - 920. Let m = -1154\/3 - g. Suppose -m - v**2 - 17\/3*v = 0. What is v?\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4 - 189) + 128)\/(1 + 1 + -1)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8 - 1. Suppose 1 = 4*p - k. What is the third derivative of -4*z**2 - 2*z**2 + 3*z**2 + 2*z**2 - p*z**4 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 101 (base 4) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 92.34245ml in litres?\nAnswer: 0.09234245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 1\/6 (c) -1\/6 (d) 5 (e) 1\/456 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0086894088 rounded to four dps?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 26965873 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/342 and -63\/152?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 131*t + 15 - 8 = -124 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 2 - (-9 - (-11 + -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 9 = 11. Find the common denominator of -37\/11 and -3 - -16*4\/x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 66064608?\nAnswer: 2, 3, 191, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12427 and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -25\/6 (c) -8 (d) -67 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 a, and 1 h when three letters picked without replacement from amaaaaamaaammhhm?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3840.7822 rounded to the nearest 10?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/288*10)\/(80\/36).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 - 3)\/((-2)\/(-4)). Let h = 67619 + -67615. Sort h, 8, f in ascending order.\nAnswer: f, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 + -3.1. Suppose -22*o - 27*o + 70 = 21*o. What is the third smallest value in o, -0.4, g, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1\/3 and -2.22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 29710 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 16445, 32872, 49293, 65708, 82117, 98520?\nAnswer: 114917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j + 2*j - 2*j)*(-1 + 2 - 3) - 2 + 2*j + 2 + 680 - 387*j - 337*j + 721*j + (1 - 1 - j)*(-1 + 2 - 3)*(-3 - 1 + 6).\nAnswer: 7*j + 680","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1.4 (b) -5 (c) 5 (d) 0 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 577*i - 283*i + 16 - 292*i. What is b(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 384*k**2 + 14*k + 7. Let b(g) = -128*g**2 + 3*g + 480 - 482 - 7*g. Let a(f) = 7*b(f) + 2*i(f). Let x(r) = -3*r. Give x(a(m)).\nAnswer: 384*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -803.\nAnswer: -4\/803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -5 + 53 - ((-1 - 0) + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 0 - ((8 - -2) + -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -7, -5, 52 in decreasing order.\nAnswer: 52, 4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*b - 218*b**2 - 100*b**2 - 2*b + 342*b**2 + 2*b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 269181 and 8217?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28)\/144*-3*178\/(-623).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 38\/(-76)*3\/((-3)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 36, 126, 274, 480?\n\"Answer: 29*z**2 + 3*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 827988.18 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -114.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2851966, -2851939, -2851912?\nAnswer: -2851885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -559 = -229*j + 457 + 1045 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7 and 6691699.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 78221 and 255996.\nAnswer: 2815956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes before 8:50 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1.713 minus -333?\nAnswer: 334.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5\/3, 3, 2863?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - 2*p = -4*b + 12, -6*b + 4*p - 20498 + 20492 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.3 - -0.49. Let a = v + 0.17. What is a rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1164 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: What is the remainder when (-15)\/(-120) - (-45114)\/48 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10000122 + 12?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:44 AM and 9:55 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.082644001 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 6*o**2 - 3*o + 8. List the prime factors of r(-4).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42148111.\nAnswer: 1213, 34747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -2*j**2 - 2*j - 2 - j + 5*j. Let x(q) = 3*q + 21 - 24 - 3*q**2 + 3*q**2 - 3*q**2. Give 5*b(k) - 3*x(k).\nAnswer: -k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 3*z - 40. Let a be c(20). Suppose -r = 4*n - 16, 0 = -3*r + 5*n - 0 - a. Let o(f) = -f - 2. Calculate o(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b + 5. Suppose 5 = -3*d - 7. Let x be p(d). Suppose -3*a - 8 = v, a - 2*v = v - 16. Put a, x, -2 in decreasing order.\nAnswer: x, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -66546*r**4*w - 4079*r**3*w - 199*r**2 + 1180460*w wrt r?\nAnswer: -1597104*r*w - 24474*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 3) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 53636 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 - -39. Is 35 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -92 + 153125?\nAnswer: 153043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of -150 and -560.\nAnswer: 84000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 8 = -18. Suppose -4*n + 6 + 5 = v, 3*n = 2*v. Solve u*z = v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5836 = 448*x + 29*x - 20623 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -6 + -4 + 7 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 470563 is divided by 2189?\nAnswer: 2117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l - 4*m - 1608 = 4*l, l - 5*m - 398 = 0. Calculate the greatest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d + 2*u + 19 = 0, -3*d - 4*u - 2 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (3*(sqrt(637)*-2 + 1 + sqrt(637)))**2.\nAnswer: -126*sqrt(13) + 5740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:15 AM and 7:20 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -a - h + 6, 0 = 3*a - 2*h - 14. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 90 + 24 - 42 - 54*y**4 wrt y?\nAnswer: -216*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/33813 and -24\/63869.\nAnswer: 574821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h**4 + 2919*h**3 - 408444*h**2 + 14719164*h + 65599344 = 0.\nAnswer: -4, 82, 813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*c**2 - 8*c**3 - 22*c**2 - 6*c**2.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 6 = -z. Let j(m) = m**2 - 8*m + 10. What is the remainder when j(7) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3736003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3844*t**3 + 5 - 3*t - 1922*t**3 + 6 - 11 - 1933*t**3.\nAnswer: -11*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 63408891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -10 by 9726212.\nAnswer: -5\/4863106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*m + 38 + 2266 = 0. What is the greatest common factor of m and 2928?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 64*t - 18929 + 18929 + 148*t as q*t + u and give q.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -71 + 79. Which is the biggest value? (a) -3 (b) r (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.2936 - -0.2936. Which is the closest to 2? (a) -0.2 (b) 2 (c) s (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (434\/105*-3)\/(808 + 0) and -77\/808?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 - 13 - 890*w**3 + 152*w**3 - 1036*w**3.\nAnswer: -1774*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k - 8. Let o be r(5). Let d be o\/(85\/(-30)*18\/(-2)). What is the third biggest value in -2\/5, d, 24?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1 - (-2 - 0\/(-1)). Suppose -4*f = 5*m - 27, m - 3*f + 29 = 6*m. Let i be (-576)\/(-672)*m\/2. Solve -5*h - 5 = -i*b, 5*b - 4 = o*h + h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 5*t + 24. Let m(j) = j**3 - 4*j**2 + 3*j - 7. Let o be m(4). What is the nearest to 1\/4 in t, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1c (base 15) in base 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2608501074?\nAnswer: 2, 3, 434750179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 38*b - 72*b - 8 + 9 to the form u + l*b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33258005.\nAnswer: 5, 11, 37, 59, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14.996 + 0.796. Which is smaller: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2 + -3)\/((-1)\/6). Let i(j) = -3*j**2 - j. Let x(k) = -4*k**2 - k. Let l(n) = u*i(n) - 5*x(n). What is the second derivative of l(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 42\/(-285) + 15\/(-285).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1042, -1, -36, -3 in ascending order.\nAnswer: -1042, -36, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36079.\nAnswer: 109, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/1076 and 107\/186948.\nAnswer: 50289012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 1, 0.05, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d = 6*d - 3. Let j(b) = 14*b**2 + 1. Let x be j(d). Suppose 5*k - x = 5*g, -k + 25 = 4*k - 3*g. Calculate the smallest common multiple of 10 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**4\/2 - 3510547*g**3 - 12323954281389*g**2\/2 - 24647866436230*g - 24647852394050.\nAnswer: -(g + 2)**2*(g + 3510545)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*g - 22 = 10*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1011200202 (base 3) in base 13?\nAnswer: a694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 72, 62, 38, -6, -76, -178?\n\"Answer: -m**3 - m**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -612507*a**2 - 85*a + 852. Let h be f(29). What is h rounded to the nearest 1000000?\nAnswer: -515000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -461, -937, -1423, -1925, -2449, -3001?\nAnswer: -3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -56*y + 7*y - 16*y - 28*y as g + i*y and give i.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*m**2 - 7*m**2 - 3*m**2 + (2*m - 6*m + 3*m)*(-2*m + 21*m - 5*m).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 51545 and 4476485.\nAnswer: 58194305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes before 4:19 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -f - 9, 4*r = -0*f + 2*f + 8. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/7, -0.3, -0.9, 0 in decreasing order.\nAnswer: 0, -2\/7, -0.3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(-1\/6))**41*u**5*u**(2\/37)*u assuming u is positive.\nAnswer: u**(8929\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 125697250 by -17956750.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 7*g**2 + 5*g + 2*g - 6*g**2 + 7 + g. Let n be v(-6). Which is the second smallest value? (a) 4 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -142974, -285946, -428906, -571848, -714766, -857654?\nAnswer: -1000506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1.69 - -42\nAnswer: 43.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1153275 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 22*u**3 + u**2 + u. Let b = 98 + -99. Calculate z(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-3)*-4)\/(1854\/(-927))*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 + 5*u**2 - 7*u - 1. Calculate c(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 - (3 + 1) - -7. Let h be (-142)\/(-3) - c\/(-6). Let b(t) = -4 + h*t**2 - 43*t**2 + 5*t + 14. Let z(y) = -y**2 - y - 2. What is 2*b(m) + 11*z(m)?\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 880*q**2*w**2 + 2*q**2*w + 194*q**2 wrt w?\nAnswer: 1760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1613183 to the power of 1\/2, to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -42 - -8. Let y = 151559 - 6060999\/40. Let m = y + j. What is the common denominator of 57\/22 and m?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**2 + 4*x - 17. Let w = -2 - 2. Let b be 0 + (w - (3 - -5)). Does 20 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - (1 + (19 - 18) + -4 + (-36 - 1)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2.2899 rounded to two dps?\nAnswer: -2.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 2, y: 4, z: 4, s: 1}. Give prob of picking 2 z and 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 532 and 3752?\nAnswer: 71288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1365523820 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: Let g(h) = -h**3 + 36*h**2 - 131*h + 15. What is g(32)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00008258211 to 6 dps.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 144 plus -39453.2716?\nAnswer: -39309.2716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 73 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 228747 divided by -76249\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*i + 4*u + 45, 4*i - 101*u + 25 = -102*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -100 (base 2) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 841, 3010, 6629, 11698?\nAnswer: 18217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -5 (b) 0.18 (c) -0.3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -94 - -99. Put 29, 3, 4, i in descending order.\nAnswer: 29, i, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 4, -1, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + (-9 - -3 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 104 = -2*v, -4*q - 15 = 5*v - 107. Suppose -5*a + q = -202. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -352439902*k**3 + 4*k**2 + 6862410*k + 3.\nAnswer: -2114639412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 11123132 (base 5) to base 6.\nAnswer: 2040114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 11*g**2 + 30*g - 4. Give v(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -15*c**2 - 3*c - 2. Let u(t) = -14*t**2 - 4*t - 3. Give -4*u(k) + 5*x(k).\nAnswer: -19*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*n + 41*n = 468. Let r = n + 206. What is the remainder when r is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1503796 = -16*m + 1503332 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 390 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*g - 5*v = 12*g - 11250, 0 = 3*v. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 1250 (base 10) to base 12\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -65*f + 78735 + 40865. Is f a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -567.143 + -0.557. What is k rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**2 - 2. Let w be j(-2). Suppose 0*n = n - w. Find the second derivative of 0*b - 4*b - n*b**4 + 2*b wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-13*l**2 + 4*l**2 + 10*l**2)*(-3 + 1 + 1)*(-5 + 2*l**2 + 5) to the form t*l**4 + r*l**3 + h*l**2 + v*l + b and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 483705166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -74 - -179. Let a = -100 + n. What is the nearest to -1 in -0.3, 0, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -80803*b - 323243. What is y(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2030 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21006085, 21006098, 21006113, 21006130?\nAnswer: 21006149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 - 48*g**2 + 206*g - 96. Calculate the smallest common multiple of c(-52) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -463 (b) 5 (c) -0.2 (d) 1\/9 (e) -1\/6 (f) 204\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10.6 + 11. Suppose -3*s + 0*s = 12. Let n be (-26)\/40 + s\/(-16). What is the second biggest value in o, -2\/7, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2575 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes before 2:59 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify b\/b**(2\/3)*(b**6\/b)\/b*b**(-5)*(b\/b**3)\/b*((b**(1\/3))**(-2\/55))**(7\/2) assuming b is positive.\nAnswer: b**(-204\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be (401 - 477)*2\/(-19). Let a(u) = 2*u - 10. Calculate a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -8*n**2 - 5*n - 2. Let k(j) = 15*j**2 + 10*j + 5. Let g(t) = 5*a(t) + 2*k(t). What is the second derivative of g(i) wrt i?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 - 14*i + 4. Let h be z(-15). Let j = -5 - h. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -92458663 by 92458663.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 + 3. Let j = 4 - 6. Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-170)\/(-50) - 2\/5. Suppose 0*q - 4*u = o*q, -2*u = 6. Let r(p) = 3*p**3 + 4*p**2 + 2*p - 5. Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 2*q = 4*q - 12, 3 = -q. Let m be j\/(-4)*100\/(-525). Determine u, given that -m*u**4 + 4\/7*u**3 + 0 + 0*u - 2\/7*u**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*m + 16*m = -47*m + 2232 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 724405102 to the power of 1\/2, to the nearest integer?\nAnswer: 26915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -21 - -11. Let h = -10.001 - -0.001. Let a = w - h. What is the smallest value in -1, 0.1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.309677127 to 5 decimal places.\nAnswer: -0.30968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:35 AM and 11:34 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**2 + 3*w + 1. Let i be a(-4). Suppose -4*c + 30 = -c. Solve -i*j = -c - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 274474870?\nAnswer: 2, 5, 23, 1193369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 73211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and -0.03047.\nAnswer: 0.15235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 4, p: 1, d: 2, n: 2, g: 1, y: 2}. What is prob of sequence yg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.21, 4, -3, 152781, 3, -3\/4 in ascending order.\nAnswer: -3, -3\/4, -0.21, 3, 4, 152781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -139\/20007312 and -173\/42515538?\nAnswer: 340124304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -0.6, 1\/20, -24993\/8 in descending order.\nAnswer: 1\/20, -0.6, -3, -24993\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 273598 is divided by 1847?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/590 and -121\/60.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/2)\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 34 - 29 + 0*x**3 + 5*x**3 + x**3 - 4*x**2. Is z(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 198443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a = -10*a - 42 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -20572839*o. Let a(q) = -18*q. Give i(a(b)).\nAnswer: 370311102*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 2982431.\nAnswer: -3\/2982431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -12*y + 12*y - 6*y**3 + (-1 + 2 + 3)*(-2*y**3 + 4*y**3 + 7*y**3) + 14 + 8*y**3 - 14 as a*y**3 + z*y**2 + i*y + j and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 195*g + 95. Let u be d(2). Let w = u + -300. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -1112021211 (base 3) to base 8\nAnswer: -72624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.3 - -2. Suppose p + 3*p - 80 = 0. Let v be p\/25 + (-4)\/10. Which is the nearest to -2\/7? (a) v (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6480392?\nAnswer: 2, 810049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1220000 (base 3) to base 9\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 218790, 218800, 218810, 218820, 218830, 218840?\n\"Answer: 10*x + 218780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h - 1171 = -331. Suppose 5*j - 17 = 5*x + 38, 0 = 2*j - 3*x - 18. Calculate the highest common factor of j and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.59 + 1.69. Let n be (-2)\/7 - (-94)\/56. Let o = -3\/28 - n. Which is the third smallest value? (a) o (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 60 = -6*t. What is the highest common factor of 42 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.6 - 1.61. Let k = -1.09 + x. What is k rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25 divided by 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oouuouuuoo. What is prob of sequence ooo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 56, 66, 98, 158, 252, 386, 566?\n\"Answer: u**3 + 5*u**2 - 12*u + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**3\/13 - 94*z**2\/13 + 40*z.\nAnswer: -2*z*(z - 5)*(z + 52)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2200, -4390, -6576, -8758, -10936, -13110?\nAnswer: -15280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 133 and 4541?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**2 + 11*y + 39. Let t be m(-3). Suppose 0 = -4*d + 9*d - t. Solve -2*k - 1 = -d*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -0 - 2. Suppose -2*n = -2*z, -2*z + 0*z = -2. Let a be (v - -2) + n + -3. Which is bigger: -4\/7 or a?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 475 - 469. Let z(m) = -3*m + 5. Calculate z(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -39? (a) 0.1 (b) 10 (c) -1\/12 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -2*u + 4*u + 62, 4*u + 129 = h. Let g = u - -36. Let k be 2\/(g\/20*-2). Sort 5, -2, k in decreasing order.\nAnswer: 5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 45*c**5 - 129*c**4 - 83*c**3 - 7*c**2 - 9*c. Let o(w) = -11*w**5 + 32*w**4 + 21*w**3 + 2*w**2 + 2*w. Let n(y) = 4*j(y) + 18*o(y). Factor n(l).\nAnswer: -2*l**2*(l - 4)*(3*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r - r**2 - 4*r + 2*r + 3*r. Let w be x(2). What is the first derivative of -4 + 3 - 2*y - 3 + w wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 218*y**2 + 6*y - 6. Let b(l) = 51448*l**2 + 1417*l - 1417. Determine -6*b(t) + 1417*o(t).\nAnswer: 218*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -64908 + 123908. Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 243792 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 143, 576, 1297, 2306, 3603, 5188, 7061?\nAnswer: 9222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.079 + 2.279. Round c to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 22*r**5 + 33*r**4 - 19*r**3 + 3*r**2 - 78. Let l(u) = 5*u**5 + 8*u**4 - 5*u**3 + u**2 - 18. Let m(c) = 26*l(c) - 6*y(c). Factor m(q).\nAnswer: -2*q**2*(q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.27 - -0.07. Which is the third biggest value? (a) g (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 21, 50, 103, 186, 305?\n\"Answer: g**3 + 6*g**2 + 4*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 290 + -194. Let t = 89 - 53. Suppose -131 = -4*d + 3*a, -d - 3*a + 7*a = -t. What is the highest common factor of d and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the third derivative of -k**6\/12 - 17*k**5\/12 - 35*k**4\/24 + 20*k**3\/3 - 226*k**2. Suppose o(s) = 0. What is s?\nAnswer: -8, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56915 - 56915 + 12*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:22 PM and 9:02 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 329 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: Solve o + 8 = 2*g, 3*g + 12 = -4*o + g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -6*d + 16. Suppose -f + d*f - 18 = 0. Solve 5*k + 2*r + 24 = 0, -2*k = -0*k - r + f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -116 times -0.24?\nAnswer: 27.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 37669384 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (v - 4*v + 2*v)*(-211 - 29 - 309)*(0*v + 2*v**3 + 0*v).\nAnswer: 1098*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add -80.02173 and -193419.\nAnswer: -193499.02173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v + 41 + 571. Let t be (-1)\/7 + v\/(-42). Let s(y) = 5*y - 1. Let p(r) = -6*r + 2. Calculate t*s(f) - 4*p(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 19857775309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 5*r**2 - 9*r - 240. Determine c(-11).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (108\/(-12))\/(-3)*(48\/(-9))\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -85*g**2. Let a(d) = -7*d + 18. Let n(x) = 40*x - 96. Let z(r) = -16*a(r) - 3*n(r). Calculate z(i(b)).\nAnswer: 680*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m**5 - 9*m**4 - 109*m**3\/2 + 99*m**2 + 28*m = 0. Calculate m.\nAnswer: -7\/2, -1\/4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the first derivative of 62*c**3\/3 + 99*c**2\/2 - 134. What is the second derivative of x(l) wrt l?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 22 - 17. Solve -l = -0*s + 2*s + 9, -g*l = -4*s - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 316.281 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -45 + 38 + (0 - 2 - 8) - -78.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 - -2)*4\/8. What is the closest to -2\/7 in 5, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1183075 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 153412, 306816, 460220?\nAnswer: 613624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 440194985 to the nearest integer?\nAnswer: 20981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 9697 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 6, 5, 2\/181?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*(0 + (-3)\/(-36)). Let o = -0.2 - -0.15. Let h = 0.15 + o. Put 0.5, h, i in increasing order.\nAnswer: h, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 67601\/10 - 6760. Factor 1\/5*a**2 + 0 + o*a + 1\/10*a**3.\nAnswer: a*(a + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 3*q. Let s(f) = -f**2 - f + 1. Let w(t) = -6*t**2 - 3*t + 3. Let u(m) = -15*s(m) + 5*w(m). What is u(g(l))?\nAnswer: -135*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -530a86 (base 12) to base 8.\nAnswer: -4772406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttkkp. What is prob of sequence ppt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-34)\/10 - 10\/(-25). Let o = -4 + 6. What is the units digit of o\/(-6) + (-7)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 - 13) + 16 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = 3*y + 19, 3*y - y - b = -11. What is the second smallest value in 2, y, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000075407 rounded to 7 dps?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/((-16)\/2))\/(3\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 216404*k**2 - 2 + 9.\nAnswer: 216404*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*f - 111 = -14*f - 1023 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2627141.8 + 2.763007?\nAnswer: -2627139.036993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/v**(-4\/5)*v)\/v)**(-1\/25)\/(v**(2\/89))**(10\/9))**25 assuming v is positive.\nAnswer: v**(-9709\/4005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*c**2 - 4*c**2 + 11*c**2 to z + i*c**2 + w*c and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 99767*q - 14048 = 100206*q for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.1 (b) -4.4 (c) -4 (d) -0.8 (e) 2\/11 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**2 - 6*s + 4. Let k be h(4). Let n = k - -7. Let b(a) = 6*a**2 - 6*a - 52. Let r(f) = f**2 - f - 8. Let p(v) = b(v) - 7*r(v). What is p(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-2 - (-2)\/6*5)*-477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 303690 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 8230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 5 - 5)*(252*b - 25*b + 262*b - 6*b).\nAnswer: -483*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = 5*y - 110. Suppose -2*w + 8 = -4*s, -3*s + 5*s = -5*w + 20. Let l = s - -11. What is the highest common factor of y and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p + 23. Suppose 10 + 7 = d. Let h be x(d). Find i, given that -22*i**3 + 2 + 7*i**3 - 6*i + 13*i**3 + 0*i + h*i**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -4*v**2. Let x(s) = 296*s**2. Determine x(b(y)).\nAnswer: 4736*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -28 (b) 1 (c) -5 (d) -1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/2208 and -5\/14.\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3558.15628246 - 0.06528246. Let f = q + -3554. Round f to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/18*-12*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 27676.57944 rounded to the nearest ten?\nAnswer: 27680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jsj when three letters picked without replacement from jsjjjjjjjjjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*a + 663 = 157. What is the smallest common multiple of a and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 8*d - 2. Suppose -5*k + 26 = -9. Let p(z) = 7*z - 3 + 0 + 1. Suppose 0 = -197*j - 20*j - 1302. Determine j*w(a) + k*p(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1)\/6)\/(4\/6). Suppose -t + 6*t = -3*j - 5, -t = 4. Let m = 38.9 - 39. What is the closest to m in j, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -432 = q - 5*q. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 727*o - 25 = -2*d + 732*o, -49 = -3*d - 4*o for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5 + 403244?\nAnswer: 403251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -169\/756 and -16\/153?\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ghgc when four letters picked without replacement from {h: 4, c: 1, a: 1, g: 4, p: 5}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * -1.8073.\nAnswer: -0.36146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -28, 13232, -69, -0.3 in increasing order.\nAnswer: -69, -28, -0.3, 13232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v*v**(-11\/5))**(7\/6)*v**10\/v*v**16 assuming v is positive.\nAnswer: v**(743\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*z + 4*f + 253 - 273, 24*f = -4*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 29 - 24 + 0*m - 2*m**2 + 0*m wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 2*z**2 - z - 1. Let m be n(2). Suppose 4550 = m*j + 5*d, -1564 = -4*j + d + 2081. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/121, -4, 0.14, 0.1, 1\/8.\nAnswer: -4, 2\/121, 0.1, 1\/8, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - (49 + (10 - 4))) + (-166 - -179)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 20 = -5*y. Suppose -5*v + 20 = -v. Suppose -4*u + s = -117, 109 = 3*u - 0*s - v*s. Calculate the remainder when u is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -357*b**3*k**2 - 6*b**3*k - 4*b**3 + 9*b - k wrt k.\nAnswer: -714*b**3*k - 6*b**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1440 + -1230. Calculate the lowest common multiple of u and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-385)\/14)\/(-11))\/((-3)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9553343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 6*k**5 + 25821*k**4 + 501525*k**3 + 1272324*k**2 - 103212*k - 1696464 = 0.\nAnswer: -4284, -33\/2, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 478329 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3491 - -16375. Does 185 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 155 = 3713. Let c be (645\/90)\/(32\/f). Let z = c - -796\/3. Find the common denominator of 3\/40 and z.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**0\/s)**(2\/35)*s**(-5\/2)*s\/(s**(3\/2)\/s)*s)\/(s**(1\/7)\/(s*s\/s**(-2\/11)))**1 assuming s is positive.\nAnswer: s**(54\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -280 divided by 42.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 321611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 - 699*n**2 + 919*n - 154268. Give z(698).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 9*(-2 + (6 - 2)). Suppose -10*b - g + 75 = -6*b, 3*g = -15. Is b smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/330 and (-11)\/(-88) + ((-642)\/180 - -2).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*4\/16*(-4)\/(-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 16 = 4*u - 3*w, -2*u = -5*w + 4. Suppose -k + 3 = 2*j, 4*k = 4*j - u - 28. Calculate the greatest common factor of 36 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.04965 + -0.049562. Round o to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 190362600 by -204.\nAnswer: -933150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 3*s**2 - 840*s - 7144. What is d(295)?\nAnswer: 6131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -35 * -1563.\nAnswer: 54705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 26 and 0.07622?\nAnswer: 1.98172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 219384 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1781648303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -217, -910, -2073, -3706, -5809, -8382, -11425?\nAnswer: -14938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 2*t - 0. Suppose 5*o = 22 - t. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10989 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: Calculate the remainder when 6756604 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -2*u**4 - 9*u**3 - 4*u**2 + 4*u - 7. Let o(y) = -2*y**4 - y**3 - y**2 + y. Let v(l) = 4*o(l) - s(l). What is the first derivative of v(n) wrt n?\nAnswer: -24*n**3 + 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 5*j. Let x(a) = 4*a. Let b(t) = 2*g(t) - 3*x(t). Let d = 40237 + -26068. Let m(s) = 14169 - 12*s - d. What is m(b(u))?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/13? (a) 0.24 (b) 0.4 (c) -13.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppepppepp. What is prob of sequence eep?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 428 = 3*o - 511, o - 301 = 4*z. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000103052289 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -2*g + 18. Let r be h(9). Solve r = 4*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the second derivative of -y**3\/6 - y**2\/2 - 739*y. Let t(l) = l**2 + 5*l + 5. Determine 9*f(v) + 2*t(v).\nAnswer: 2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 942067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -2*m**2. Let l(x) be the second derivative of x**4\/12 - 6*x**2 + x + 5. Determine l(d(y)).\nAnswer: 4*y**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -307824 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 7842745217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 - 4067.\nAnswer: -4067.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = 16.6 + -11. Round x to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 124867 is divided by 306?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53518075?\nAnswer: 5, 13, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 1, g: 18}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-2*(1 + sqrt(1331))*-6)**2*-6.\nAnswer: -28771200 - 475200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 20 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 4282*d**2 - 27*d - 60. Is n(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-2))\/((-4)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -185 - -1667\/9. Suppose 3 = -4*l - 2*w - 1, 5*l - 4*w = 21. Let q(o) = -o**3 + o**2. Let u be q(l). Sort 0.1, j, u.\nAnswer: u, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**3 - 168 + 144 + 3*g - 61 + 2*g**3.\nAnswer: g**3 + 3*g - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 - 100222012011022110?\nAnswer: -100222012011022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2353319124.\nAnswer: 2, 3, 13, 15085379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*p - 41*p = -46*p - 1058 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -5 (b) -22 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1189*v**2 + 1191*v**2 - 3569*v**2 + 1191*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:13 AM and 2:25 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 0*g - g + 4*g - 4*g + 2*g**3 - 1. What are the prime factors of y(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/5*25\/90\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 170333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*w - 110 = -16*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 w, and 1 v when three letters picked without replacement from hflhpvpfwph.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is e + -13c?\nAnswer: -12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**3 + 7*f**2 - 4*f - 2. Let v be z(6). Suppose 2*s = -v, -2*d - 4 = -s + 1. Let a be 1\/(2 + -1)*1. Put 3, a, d in descending order.\nAnswer: 3, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, -16\/3, 16, 447?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 - (-25 - (-36 + 21)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 32 = -8*m - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/2)\/(27\/(-18)). What is the third smallest value in -4, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4.1488339 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(180) + ((sqrt(180) - 3*sqrt(180))*6 - sqrt(180)) + sqrt(180))\/(2*sqrt(9)*3))**2.\nAnswer: 605\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(1*sqrt(34)\/sqrt(2) - (-2*sqrt(833) + sqrt(833))**2).\nAnswer: -2*sqrt(17) + 1666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2055\/225 - (-8)\/(-60). What is the greatest common divisor of a and 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 4, h: 4, p: 2, b: 2}. Give prob of picking 2 b and 1 p.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-5))\/((-44)\/(-165))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/(f*f*f**22*f)*f*f\/(f*f\/(f\/f**(10\/7)))*f assuming f is positive.\nAnswer: f**(-164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000 + -1111?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 166566 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2382, 5483, 8562, 11613, 14630?\nAnswer: 17607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be -2*130719\/(-39648) - 2. Let x = n + -13\/413. Let o = 1\/241 - -10843\/482. What is the common denominator of o and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 5, p: 8}. Give prob of picking 1 y and 3 p.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fhfssvz. What is prob of picking 2 f and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -2*i**2 + i**2 - 7*i - 3*i - 3. Calculate the remainder when 124 is divided by o(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17383709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.133, -21.3, -3, 2\/11, 341, -1?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w - 9564 = 4428. Let u = w - -3230. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -11*s + 1186 - 14*s - 1186. Let n(v) = -2*v. What is -3*b(m) + 40*n(m)?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:30 PM and 12:38 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/306*17*118?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3*(-8)\/12 - 38100\/(-4). Calculate the highest common factor of 89 and r.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 20\/13 (b) 3\/11 (c) -1\/2 (d) -2\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*b**2 - 72*b**3 - 63*b**3 - 2*b**3 - 19*b**2 - 10*b**3.\nAnswer: -147*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -75\/3424 and 622138\/56496 + (-66)\/6.\nAnswer: 10272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + m = 2*s + 1, -2*s = -4*m + 4. Suppose -5 + s = -p. Which is smaller: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q**2. Let d(l) = -457*l. Give c(d(i)).\nAnswer: -417698*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5621698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -176094 divided by -2174\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 68*c**3*k**2 - 52884*c**3*k + 4*c**2*k**2 - 3*c**2 - 52238*c*k**2 - c + k wrt c?\nAnswer: 408*k**2 - 317304*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:33 PM and 2:14 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the first derivative of -z**4\/4 - z**3 + 2*z**2 - 2. Let a be m(-4). Suppose a = p + 3*p. Solve -2*n + 2 = -f - 0*n, p = 5*f + n - 23 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -4*(-11 - (4 - 7)). Calculate the highest common factor of l and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 51302, 51111, 50792, 50345, 49770, 49067?\n\"Answer: -64*g**2 + g + 51365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -17 - -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3342 + 3342.5. What is the closest to -1 in -5, u, -120?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-117) + 41884\/1443\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*f - 6*f - 2*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -3*w - 34. Let h be c(-11). Let q be 8\/(-6)*6\/h. Solve -5*i + 10 = -2*o - 7, q = 2*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(8)\/(sqrt(8)\/sqrt(2)) + 3 + 2 + ((sqrt(72) + 1)**2 - sqrt(128)))*5 + -1.\nAnswer: 25*sqrt(2) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 - 1. Let u be z(1). Let f(t) = -6*t**3 - 5*t**3 + 4*t**2 + 4*t + 12*t**3 + 2. Let l be f(u). Sort 3, -4, l in decreasing order.\nAnswer: 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.64347 - 0.02347. Which is the closest to 0? (a) x (b) -0.5 (c) -5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 284611609 to the nearest integer?\nAnswer: 16870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 - u**2 - 7. Let a(c) = c**3 - 3*c**2 + 2*c - 3. Let t be a(2). Let b be -2 - 6\/t*1. What is h(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 583, 2050, 4375, 7546, 11551, 16378?\nAnswer: 22015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 10 and -0.35.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -673.8 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qriq when four letters picked without replacement from yqypqyqrypqqppqippqi?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1539649416 to the power of 1\/2, to the nearest integer?\nAnswer: 39238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o + 2*o - 6 - 6*o. Let y be n(-5). Let h = y + -5. Solve 0*c + 2*p - 24 = h*c, 5 = -3*c - 5*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -14*t**2 - 35*t - 12. Determine x(-7).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -5*b, 5*a + b + b + 43 = 0. Let h be 24\/(-8)*(-1)\/a. What is the second smallest value in -2\/9, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23183 and 2231.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 12*t**4 - 6*t**3 - 7*t**2 - 6*t + 6. Let n(p) = p**4 + p**3 + p - 1. Let v(g) = k(g) + 6*n(g). Find the third derivative of v(c) wrt c.\nAnswer: 432*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, -2\/27, -0.2, 15, 77?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 115254 at most 115254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 561*i**2 - 20*i - 19. Let g be n(-1). Let o = g + 299. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(2\/7))**(2\/7))**(4\/7))**(-1\/12) assuming f is positive.\nAnswer: f**(-4\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -81 - -87. Suppose -5*r + w = -4*h - 6, h - 14 = -3*r. Suppose -3*k - 1 = 5*s - 29, 25 = r*s + 5*k. What is the greatest common factor of 35 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l - 1. Let w be r(2). Suppose 4*x = 3*x + w. Let u be (52\/12)\/x - (-2)\/(-6). Solve 0 = 2*s + u + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24.7*-204.\nAnswer: -5038.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5336901690 to the nearest integer?\nAnswer: 73054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be 15\/3 - (-1 - -1). Let w(o) = -o**3 - 9*o**2 - 8*o - 4. Suppose 5*g = s - 35, 0*g - 4*s = -5*g - 20. Let y be w(g). Put y, f, 2 in decreasing order.\nAnswer: f, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 13*z**3 + 2*z**2 - 23*z + 2. Let r(x) = -13*x**3 - 3*x**2 + 23*x - 3. Let g(c) = 3*j(c) + 2*r(c). What is the second derivative of g(o) wrt o?\nAnswer: 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = 5*q - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10.4 + 104.4. Let k = g + -93.8. Let j = 232 + -4874\/21. Which is the second biggest value? (a) k (b) -1\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*u - 12 = -12*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(2\/13)\/t)\/t)\/(t**(1\/12)*t))\/(t**(-8)\/t**(-1\/5)) assuming t is positive.\nAnswer: t**(3799\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -110100011000010 (base 2) to base 12.\nAnswer: -1362a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -165 - -352. What is the highest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/21*6\/(42\/(-49))*18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 107 a factor of 2039 - 4*7\/(-28)*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**3 + 6*s**2 + s + 4. Let q be b(6). Suppose 0 = -5*c - 4*h - 6, -c = -2*h - q. Solve g - 3*g = c*o - 2, -3*o - 5*g = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14426.\nAnswer: 2, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 423982*t**2 - t - 7*t - 424122*t**2.\nAnswer: -140*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z - 2*y - 384 = -10*z, -2*z + 255 = -y. What is the greatest common divisor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 5:15 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the third derivative of g**5\/60 + g**4\/6 - 2*g**3\/3 + 3*g**2. List the prime factors of i(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -274*q - 4762. What is the ten thousands digit of p(-81)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.6 - 0.4. Let u = f + 1.5. Put u, -3, 4 in increasing order.\nAnswer: -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8174000 to the nearest 100000.\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -188310 rounded to the nearest 1000?\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 - 34*d**2 + 29*d - 23. Let k be y(19). Let i = k + 78135\/16. Let q = 4\/127 - 1175\/1016. Calculate the common denominator of i and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 14 + 4 = -5*i, 3*i = -2*x + 2. Suppose 6031 = x*l - 3301. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*h - 3*h + h + 4*h**2 - h**2.\nAnswer: 3*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -61*k**2 - 9*k + 11. Let l be q(3). Let z(m) = -6*m**3 - 8*m**2 + 3*m - 8. Let r be z(6). Let f = l - r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -14*r. Let j be b(-1). Let w be 2\/2*0 + j. Find a such that 11*a**2 - 5*a**3 + 3*a**4 - w*a**2 - 3*a + 8*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -2*l**3 - 5*l**2 - 7*l - 7. Let a(k) = k**2 - 2*k - 1. Let f be a(3). Let m = -3 - f. Let h be o(m). What is the greatest common divisor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -362.2 - -367.2. Let g = -7 + 4. Let a = g + 4. Sort 3\/5, a, d.\nAnswer: 3\/5, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**3 - 7*c**2 - 10*c + 16. Let v be d(6). Let u = 84 + v. What is w in 1\/4*w**5 + 0 + 1\/2*w + 1\/4*w**2 - 3\/4*w**3 - 1\/4*w**u = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18\/(-12)*4\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46 is divided by 3\/(-1*(0 - 3\/5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -170 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**1*s**1\/s)\/s**(-32)*s**(-34)*s*s\/(s\/(s*s**(-3\/5)*s))*(s\/(s*s**(-3)))\/s assuming s is positive.\nAnswer: s**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3474934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w + 2. Let s be o(-4). Let t be 3 - 3 - s\/5. Put t, -5, -1\/2 in increasing order.\nAnswer: -5, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -23*f*h**2 + 17*f*h + 4*f + 875*h**3 + h + 8 wrt h.\nAnswer: -46*f + 5250*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3635\/779 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3122*f**3 - 34*f**3 + 956*f**3 + 2302*f**3 - 647*f**3.\nAnswer: 5699*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -18 + 14 - (-1 + (-1 - -3) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -5\/3 (b) -2\/13 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5745336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 100 and -0.17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s**3 - 5*s**2 + 3*s + 6. Let p be q(-6). Let j(a) = a**3 + 41*a**2 + 4. Let d be j(-41). Suppose d*z + z = p. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 25 + -11. Let h = 4 + a. What is the lowest common multiple of h and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -7896 * 0.3\nAnswer: -2368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17109474?\nAnswer: 2, 3, 853, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-810)\/(-36)*(-12368)\/2319.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the first derivative of -1 + 1\/2*g**2 + 0*g. Let d(w) = 82*w - 82*w + 4*w**2. Determine t(d(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -10 by 8826935.\nAnswer: -2\/1765387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 2\/11 (b) -2\/25 (c) 1324 (d) 2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1628323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78 = 5*r - 192. Suppose -36*y = -33*y - r. Solve -5*m - u = y, -2*m = -3*u + u + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the third derivative of -13*c**5\/20 - 27*c**4\/8 - 7*c**3 - 178*c**2. Solve n(m) = 0 for m.\nAnswer: -14\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) -5 (c) 106585 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -8746682 times -1\nAnswer: 8746682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4.545 - 0.545. Let u = 179.5 + -179. Which is the nearest to 0? (a) w (b) 0.8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 221320232233 + -11?\nAnswer: 221320232222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 1:12 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 5*k, 0 = c - 5*k - 24 - 6. Is 22332\/c - ((-12)\/(-15))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9 times 141.154?\nAnswer: -127.0386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 23*b**2 + 4*b + 4. Give g(3).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {f: 3, h: 3, t: 1, b: 1, c: 3, q: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - z**4 + 155*z - 303*z + 169*z as j*z + v*z**3 + a + s*z**4 + i*z**2 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -2*g + 3*u, -g + 19 = -0*g - 3*u. Let o = 4 - -7. Calculate the remainder when g is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gpkkgrpkkgggggg. Give prob of picking 1 r and 1 g.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 5*h = 2*v + 12, 0 = v + 4*h + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 60*a - 79*a + 1406. Find the first derivative of -y + 2*y + 32*y**2 + 7*y**2 + a - 2*y wrt y.\nAnswer: 78*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 4\/7*u**2 - 2\/7*u**5 - 2\/7*u**4 + 4\/7*u**3 - 2\/7*u - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -1.638 and -237.\nAnswer: -238.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 190 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 96659724 divided by -194.\nAnswer: -498246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -44811*b**3*i*y + 4*b**3*y + b**3 + 2*b**2*i*y + 121*b**2 - 61*b*i*y + 3*b*y + i*y - y wrt b.\nAnswer: -268866*i*y + 24*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 - 17. Suppose 3*u = 5*g - 15, -3*g - 9 = -6*g + 5*u. Suppose 2*l + g*l - 32 = -4*y, -5*y + l + 40 = 0. Solve 4*j - y = -3*s - s, 12 = -q*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -28*r**3 - r**2 - 1. Let i(l) = l**3 - l**2. Let v(q) = i(q) - n(q). Differentiate v(y) wrt y.\nAnswer: 87*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 14\/35*5*1\/(-2). Which is greater: t or 1\/56?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from ffittptttftttttff.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 - 1. Suppose 0 = -0*h - k*h. Let r(g) = g - 5. Determine r(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 15272?\nAnswer: 1\/15272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zoootooyfoxoxoofooox. What is prob of sequence ty?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7 + 10. Suppose -q + 3 = -n, -5*q = 5*n - 0*q - 35. Suppose 4*j - 99 = -5*d, -d + n*j + y = -14. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 36 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 596 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 6*n**4 + 6*n**3 - 160*n**2 + 15*n. Let o(f) = -f**4 - f**2 - 3*f. Let j(m) = k(m) + 5*o(m). Find the third derivative of j(a) wrt a.\nAnswer: 24*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1788866 and 1662?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*i - 159 = -257 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are 27063122 and 27063121 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14268052.\nAnswer: 2, 67, 53239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrnnrnrnrrnrnnnnrnrn. Give prob of sequence nrnr.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 136273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be (21\/9 - 2) + 33\/(-45). Put 1\/4, -0.1, c, -3\/5 in descending order.\nAnswer: 1\/4, -0.1, c, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + -7. What is the remainder when 19 is divided by 4\/(-3 - x) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-7233)\/(-12) + 49\/(-28) + 1. Let o = k + -142. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/210 and 43\/10822.\nAnswer: 162330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 9*v**2 + 51*v - 26. Let s be z(36). Let j be 4\/(-18) - (-120136)\/18. Let i = s - j. Round i to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -181*w - 167*w - 123*w as p*w + f and give p.\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -17*p + 1. Let c(n) = -39*n + 1023. Give -c(x) + 2*y(x).\nAnswer: 5*x - 1021","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -76175 - 394?\nAnswer: -76539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-2 - 2) - (-9 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(176)*-1 + 1 - (5 + sqrt(44)\/sqrt(4) + 5))**2.\nAnswer: 90*sqrt(11) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 129291229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 32, 27, 20, 11, 0, -13?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 263 * -0.1.\nAnswer: -26.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1945\/10892*192\/5.\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 1424 = -334. Suppose -b = -2*i - 3*i. Suppose -4*k - 16*k + 1372 = 29*k. What is the remainder when i is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 4*r**4 + 6632*r**3 + 2748960*r**2 - 6632*r - 2748964 = 0.\nAnswer: -829, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 4 - 1)*(17 - 35 + 4)*(-127 + 127 - c).\nAnswer: 56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -22*k**3 - 860*k**2 - 7000 + 1\/4*k**5 - 5100*k + 9\/2*k**4 = 0.\nAnswer: -10, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((12\/15)\/(-1))\/(4\/(40\/(-2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -39*t - 2. Let i(u) = 40*u + 2. What is 6*i(n) + 5*v(n)?\nAnswer: 45*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -146.73 - -146.72994869. Round z to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1892154419928 - -0.5.\nAnswer: -1892154419927.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 0 + -1 - (-2 + -968)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t - 4*t + 5*t)*(0 + 5 + 0)*(3911*t**2 + 124*t**3 - 3911*t**2).\nAnswer: -1240*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1150973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-93)\/(-4) + 3\/(-12). Suppose 5*f + s = 4*t, f = 5*f + 12. What is the third derivative of 5*m**2 - 12*m**4 - m - 17*m**t + m wrt m?\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 25211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -15*b - b - 20*b + 7*b as z*b + s and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2*-94205.\nAnswer: -18841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the third derivative of -589*n**6\/12 + 169*n**5\/60 + 5*n**3\/6 - 629*n**2 + n - 2. What is the third derivative of b(y) wrt y?\nAnswer: -35340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 2)*(60173*f - 60173*f + 144*f**4)*((-1 - 2 + 5)*(-3 - 1 + 5) + 2 - 4 + 3)*(2 - 2 + f).\nAnswer: -864*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 13*y**2 - 49*y + 13. Let d(k) = -3*k**2 + 12*k - 3. Let u(g) = 9*d(g) + 2*f(g). Does 23 divide u(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 - 5 - 6)*(-13*h**3 - 2*h**3 + h**3).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y**2 + 0*y**2 + 0*y**2)*(-44 + 0 + 13).\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-14))\/(-285*30\/5320).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 + 0. Suppose 4*h = -10 + 14. Let b(j) = j - 1. Let g(i) = i - 2. Calculate h*g(f) + p*b(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*k**2 + 0 + 0)*(35*k**2 - 71*k**2 + 412 + 35*k**2) to the form r*k**2 + m*k + q*k**4 + t + c*k**3 and give r.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be 140\/4*8\/5. Suppose 0 = 25*y - 53*y + m. Solve 0 = -2*l + y, -o + 2 = 5*l - 4*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g - 5*j + 12, -g + j - 12 = 3*g. Let r be (5\/g)\/((-4)\/8). What is the first derivative of -4 - r - 3 + 3 - 5*n wrt n?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from amammcmca. Give prob of picking 1 a, 2 m, and 1 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(209) - (sqrt(209) + -3*sqrt(209)))*1)\/(sqrt(22)\/(sqrt(8)\/sqrt(4)) - sqrt(539)*-1).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (17 + -3 + 2)*(-4)\/(-8). Let b be (-2)\/9 + 1160\/36. What is the highest common factor of b and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r + 32 = r. Solve -r*a + a = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 58823 and 4607137?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.125 + 2.195. Round g to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 6 - 2 + 8*d - 9*d. Give n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32 = -r + 30279*f - 30291*f, -2*r = 3*f - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 182 + 467 = f, 0 = 3*f + 9. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of 0 + 0*n**3 + 1\/720*n**6 - 11*n**2 - 1\/360*n**5 + 0*n + 0*n**4. Factor r(w).\nAnswer: w**2*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v**3 + 4*v**2 + 6*v - 16. Determine c(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 675, 606, 545, 498, 471?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes before 11:34 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 490351290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 139\/396 and 62\/27.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-2)*-1)\/((-6)\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 92710*p**2 + 3287 wrt p?\nAnswer: 185420*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, 4, -34\/9, -1\/10, -2\/3, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t + 1. Let l(w) = 27*w - 8. Suppose 2*f + 25 = 5*k + 6*f, -f + 10 = 5*k. Let u(q) = k*l(q) + 2*h(q). Differentiate u(z) with respect to z.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -4*t**2 + 11*t - 7. Let p(s) be the third derivative of s**5\/30 - s**4\/4 + 2*s**3\/3 + 18*s**2. What is -6*l(z) - 11*p(z)?\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 70 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -13*x**2 + 13*x + 42. Let d(o) = 7*o**2 - 7*o - 22. Let p(f) = -11*d(f) - 6*h(f). What is the least common multiple of 122 and p(-4)?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -379899 divided by -5\nAnswer: 379899\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/13? (a) -1 (b) 0.4 (c) -6 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 20403874 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37265706 is divided by 1971.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 83\/12 and -87\/52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*b**4 - 51*b**2 + 2*b + 2*b**3 + 2 + 53*b**2 + 0*b**4 to the form x*b**3 + v*b**2 + f*b + n*b**4 + i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 5, q: 10, t: 4, m: 1}. Give prob of sequence ttet.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 32.6698 years?\nAnswer: 3.26698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 16 - 4 = 0. Calculate the smallest common multiple of 18 and ((-12)\/f)\/(3\/(-50)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -30330 (base 4) in base 7?\nAnswer: -2262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -3*p**2 - 15*p + 19. What is j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -5*p**4 + 745*p**3 + 1505*p**2 + 755*p = 0.\nAnswer: -1, 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 277 is divided by 142?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1828617?\nAnswer: 3, 7, 19, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 + -1001010?\nAnswer: -1001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 3 i when four letters picked without replacement from svimiiiivsimiisi.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v - 2 + 2)*(-3*v**2 - 9*v**2 + v**2) + (3*v - 2*v + v)*(v**2 - 4*v**2 + 2*v**2).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -11321, -90584, -305717, -724652, -1415321, -2445656, -3883589, -5797052?\n\"Answer: -11322*q**3 - 3*q**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -16*z**2\/5 + 7827*z\/5 - 1467\/5.\nAnswer: -(z - 489)*(16*z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the second derivative of b**8\/840 + b**7\/504 + b**4\/3 + 3*b. Let t(q) be the third derivative of v(q). Find the third derivative of t(c) wrt c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 17, c: 3}. Give prob of picking 1 c and 1 b.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -2*r**2\/13 + 668*r\/13 - 3936\/13 = 0. Calculate r.\nAnswer: 6, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Do 858424 and 858410 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.8158291nm?\nAnswer: 0.0000008158291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 120, 116, 112, 108, 104, 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 115203726 to the nearest integer?\nAnswer: 10733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 3 = 2*s, -2*d - s = -3*s. Let t = -100 + 702\/7. Let c = -0.096 + -0.004. What is the nearest to t in c, d, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.19, 0, -2, 1 in descending order.\nAnswer: 1, 0, -0.19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 2*i = -6. Suppose s - 35 = -2*x, -x + i*s + 34 = -3*s. Let z = -14 + x. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) 1 (b) 0.5 (c) 3 (d) 877\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -20 + 29. Determine n, given that -n + x*n**2 - 6 + 13*n + 3*n = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 + 31*u**2 - 123*u + 347. Determine r(-34).\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m + 3. Suppose 12 = 3*h, h - 2 = -3*k - 31. Let g = -8 - k. Calculate the least common multiple of u(0) and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/2*288\/(-288).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*f**2 + 3*f**2 + 0*f**2)*(-2*f + 2*f - 3*f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-30*f**3 + 12*f**3 - 10*f**3)*(0*f + 5 + f + 2*f).\nAnswer: -84*f**4 - 140*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000047245 rounded to six decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 288 (base 11) to base 13\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1 + 0)\/((-1)\/(-13)). Suppose -n - 1 = -u. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 22*o = 1722. Let a = 83 - o. Solve -5*u - a = -26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1\/1738 - 8737\/81686. Are l and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -2*f + 3224. Let a = -148931 - -148993. What is the highest common factor of f and a?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-56)\/(-6))\/(2\/(-6)). Let d = v + 63. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 319.075 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6273 and 6951878?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*r + 520 = 39*r. Let n = -176 + r. Let v = n - -34. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3\/8 (b) 8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101 is divided by 1 + 33 + -2 + 3 + 1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = 3*l + 2*l - b, -4*b = -4*l - 36. Which is bigger: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b32680 (base 12) to base 16\nAnswer: 2ac840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 315.607 millennia?\nAnswer: 3156.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -2*c**2\/5 - 4162*c\/5 + 73644 = 0. What is c?\nAnswer: -2166, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from gpfgttpgfpgg?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 13629 plus 4743000?\nAnswer: 4756629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 2*p - 8*p**3 - 1 - p + 2. Let i be m(-1). Suppose -27 = -i*b + 5*b. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 89 - (1 - (-9 - 12) - 11 - 5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 554805938 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3*(1\/4 - 106\/(-24)). Let k = d + 19. Suppose -5*c + 11 = 1. Sort -5, k, c in descending order.\nAnswer: k, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -35*s + 1342*s + 36552 + 1351 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1.1*-0.260847\nAnswer: 0.2869317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1767 times 3604\nAnswer: 6368268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 208 divided by -26?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 25*b**2 + 333*b - 1982. What is p(6)?\nAnswer: 916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 115, 302, 613, 1048, 1607?\n\"Answer: 62*u**2 + u + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6\/173 or 1.6?\nAnswer: -6\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 568 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148 is divided by (1 - (-2 - -4))*30*-1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*(q*q**(-2\/15))\/q*q\/(q*q**(2\/19)))\/(((q\/(q*q*q*q**7*q*q*q)*q)\/q)\/(q\/(q*(q*q**37)\/q*q))) assuming q is positive.\nAnswer: q**(-7193\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 229 = 2056\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 795549.\nAnswer: 3, 17, 19, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -68465.8673 rounded to the nearest 10?\nAnswer: -68470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 12 = 0, 0 = 2*o - f - 76 + 87. Which is the closest to o? (a) 5 (b) 0.1 (c) 2\/19 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 581 = -5*o - 0*q, -4*o = 4*q - 472. Suppose -4 = -2*t - 10. What is the remainder when (o\/(-6))\/t*2 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 6 = 0, 7 = 4*p - h - 7. Suppose 0 = t + p*n - 7, 0 = -3*t - n - 6 + 3. Let v = 6 + t. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 - -13. Suppose -u*p = -t - 1592675, 3*p + t + 484556 = 1679057. Let l = p - 798168. Round l to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -5\/3, 9, 0.3, 4, 0.0562, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n. Let s(w) = -3*w. Let u(g) = 9*p(g) - 2*s(g). Let c(a) = a**3 - 7*a**2 + 5*a + 2. Let j be c(6). Let r be (-1)\/(-1 - 2\/j). Determine u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 357036 is divided by 6733.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add 0.054 and -599.\nAnswer: -598.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -10*g - 60. Let x be u(-6). Factor 0*v + 1\/6*v**2 - 1\/6*v**5 + x + 1\/6*v**3 - 1\/6*v**4.\nAnswer: -v**2*(v - 1)*(v + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from snnllbrnnsxssnnxxb. Give prob of picking 1 s and 2 b.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 1.29, -21, -2, 25, -1\/4 in increasing order.\nAnswer: -21, -2, -1\/4, 1.29, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 15192 = 28*t. What are the prime factors of t?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 5*g**2 - 56*g + 41. Give n(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 4, 2.5, -8\/15?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 5*p - 1975, -392 = -3*k - 5*p + 785. What is the greatest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 72\/5 of a century?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1799 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 137 divided by 41?\nAnswer: 137\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 390 + 140 = -53*f. Put 0, 8, -3, f in increasing order.\nAnswer: f, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the first derivative of -3*z**2 + z - 3. Is i(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 88 and 133694?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*b**3 + 47*b**2 + 6*b - 10 wrt b.\nAnswer: 12*b + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-1))**(-2\/71)*(a\/(a*a**(-2\/7)*a))**(-37) assuming a is positive.\nAnswer: a**(13149\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from {l: 15, g: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-6*sqrt(3648) - sqrt(57))\/(3*sqrt(75)).\nAnswer: -49*sqrt(19)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 8*x**2 - 16*x + 24. Let b(u) = -u + u + 0*u - 1 + u. Let j(o) = 20*b(o) + r(o). What is the tens digit of j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 108659 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 141*s**2*x + 190*s**2 wrt x?\nAnswer: 141*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the first derivative of -f**6\/120 - 152*f**3\/3 + 32. Let t(b) be the third derivative of z(b). Let l(u) = u**2. Calculate t(l(o)).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 345, 30 in decreasing order.\nAnswer: 345, 30, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 430961 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 + 25. Let s(l) = 2*l + 22. What is the remainder when m is divided by s(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 69\/(-552) - ((-3)\/8)\/(18\/138).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.613 - 0.313. Which is the closest to -0.05? (a) -1 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 202*f**4 + 208301*f**2 - 208301*f**2 + (-f + 7*f - 5*f)*(f**2 + f**3 - f**2) to the form g*f**4 + n*f + o*f**3 + w*f**2 + c and give g.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t + 7. Suppose 300 = 2*g + 294. Let k be y(g). Solve -3*w + 13 - k = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -51*g - 68*g + 5*g**2 + 99*g + (-g + 0*g - g)*(-g + 0*g - g).\nAnswer: 9*g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**2 - 19*o - 3. What are the prime factors of q(-15)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30 divided by 34148873?\nAnswer: 30\/34148873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the third derivative of 125*u**5\/12 - u**4\/4 + 31*u**3\/6 - 135*u**2. Is x(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes after 10:08 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - (1 - 11)) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 200*r + 1. Let b be g(3). Let q be ((-27)\/(-25) - 1) + 32928\/8400. Suppose 4*o - b = -n + q*n, 4*o + 4*n = 636. What are the prime factors of o?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-168)\/36*(-3)\/8*4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1345174586 to the power of 1\/4, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 51 - 49. Let u(h) = 4*h**2 + 4. Let m(j) be the second derivative of -5*j**4\/12 - 5*j**2\/2 - j. Calculate t*m(k) + 3*u(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -3*z**2. Let g(s) = 20*s. Calculate h(g(y)).\nAnswer: -1200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*j + 5*j - 4*j + 5*j - 29 to n + l*j and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3450 + 3453. Let d(p) = -2 + 0 + 0*p**2 + 11*p**2. Is d(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + -10 + (4 - -3) - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1881 and 1083?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(9)\/sqrt(3))**2 + -1 - ((0 + sqrt(48))**2 - sqrt(3)).\nAnswer: -46 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 483094\nAnswer: 2\/241547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 13302161 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**2 + 11*y + 14. Let p be l(-10). Suppose -5*x = 25, 3*c + x + 10 = -p*x. Let s(j) = -3 + 16*j**3 + 6*j**2 + 1 - 17*j**3 - 6*j. What is s(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t + 1 + 5. Let i be -4 + -2 + t + 0. Let p(m) = 5*m - 23. Let b(r) = -3*r + 12. Let x(y) = i*p(y) - 7*b(y). Calculate x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 723*x**2 + 2 - 59*x**2 - 10.\nAnswer: -782*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 1 + 9 = -2*j, -t = -4*j - 1. Suppose 2*u = p - 10, 3*p = -0*p + u + t. Suppose p = -2*n - 9 + 27. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**3 + 10*g**2 - 11*g + 15. Let u(k) = -k**3 + 11*k**2 - 11*k + 15. Let d(f) = -4*l(f) + 5*u(f). Does 10 divide d(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -30 - -14. Let b = p + 19. Let m(x) = x**2 + b*x**2 - 3*x**2. Let z(w) = -26*w**2. What is z(m(y))?\nAnswer: -26*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3453595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i**3 + 0*i**3 - i**3 + (-3*i**2 - 2*i**2 + 3*i**2)*(4*i + 2*i - 4*i))*(-2 - 3 + 1)*(-2 + 2 - 1).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 2 + (-12 - (7 - 6327))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23568 divided by -4?\nAnswer: 5892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 39 - 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o + 20. Let g be m(-21). Let n(y) = 2*y**2 + 3*y - 6. What is the least common multiple of ((-10)\/(-15))\/(g\/(-309)) and n(2)?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -30*c**3 + 6*c**2 + 12*c + 13. Let b(y) = y**2 - 2*y + 2. Determine -6*b(u) + j(u).\nAnswer: -30*u**3 + 24*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b\/(b\/b**(-6)))*b**(2\/15)*b)**(-39\/5)*(b**(-1\/4))**(-8\/5)\/(b\/(b**0\/b))**(10\/3) assuming b is positive.\nAnswer: b**(-5228\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 20 = 4*u. Suppose 2*k = u*k - 30. Let h = 184 - 94. What is the highest common factor of k and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5842 is divided by 181.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -g - 3. Let i be ((-1)\/58)\/((-539)\/(-147) - 2*2). Is i < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-111798)\/(-24))\/(30\/320).\nAnswer: 2, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-16)\/(-40) + (-4)\/10. Let y = 9 - 19. Let m = y - -6. Sort m, 5, k.\nAnswer: m, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:30 AM and 5:55 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 9\/4, 3\/23, -11\/8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -30409306, -30409305, -30409304, -30409303?\nAnswer: -30409302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1988748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -905 - -911. Let a(b) = 18*b - 2. Is a(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*-5*(6*sqrt(1300)*-2 - sqrt(1300)).\nAnswer: -3900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*k**5 - 772*k**4 - 6068*k**3 - 7388*k**2 + 380*k + 2464 = 0.\nAnswer: -88, -7, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0086348 to 4 decimal places.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0 * -0.222\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4850, -11353, -19520, -29351, -40846, -54005?\nAnswer: -68828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -2*f + 2. Let j(p) = 14*p - 27. Determine -j(k) - 5*m(k).\nAnswer: -4*k + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*d - 3*d - 2*d)*(1 + 2 - 2) + 151 - 151 + 7*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c**5 - 410*c**4 + 7035*c**3 + 58490*c**2 - 7040*c - 58080 = 0.\nAnswer: -6, -1, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 8997904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 224 - 121?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.48986 * -0.8.\nAnswer: -1.191888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q - 4*t - 0*t + 4, -q = 5*t - 23. Let s(m) = 3*m**3 + 4*m - 2. Let z be s(1). Sort q, z, 2 in ascending order.\nAnswer: 2, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the second derivative of 7*a**3\/6 - 37*a**2\/2 + 4*a. Let m be k(5). Let f be 3 + -2 + -1 + 2 - m. Solve x + 0*x - f = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*w - 9 + 41 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5182320?\nAnswer: 2, 3, 5, 11, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -1, 1\/4364 in increasing order.\nAnswer: -3, -1, 1\/4364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/12*-3 + (-2453)\/20. Let o = h - -122. What is the closest to -1 in o, -5\/6, 4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1416 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be 133 + (3\/(-9) - (-34)\/(-6)). Is 126 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 + 7. What is the units digit of 5 - f - (-12)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -357 = -400*z - 56 + 99 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.1, 0, -2\/5, 3, -3\/154?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 32521 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + 10 = 5*u + 4*u + b, -28 = 5*u + 9*b + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -177 - -181. Solve -z = a + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 11:27 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1059264 divided by 12\nAnswer: -88272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l - 5*h + 38, -3*l - 2*l - 4*h = 74. Let o be (0 - l)*(-5)\/(-15). Sort -4, o, 1 in descending order.\nAnswer: o, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10444, 5, 418 in descending order.\nAnswer: 418, 5, -10444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36 and 2405691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.4 - 3. Let v = 1 + r. Let q = v - 3.4. Which is the nearest to -1\/3? (a) q (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i + 20*i - 47 = 376 - 33 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7344375.\nAnswer: 3, 5, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -76238940996*x**2 - 1791427632*x - 10523536 = 0 for x.\nAnswer: -1622\/138057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that 0 - 12*m**2 - 4\/7*m**5 + 0*m - 202\/7*m**3 - 10*m**4 = 0.\nAnswer: -14, -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1406955 and 3?\nAnswer: 1406955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yfpfppypjppyxyfxy. Give prob of picking 1 f and 1 y.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 210 or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -96*g. Let f(s) = -s**2 - 18*s + 274. What is the remainder when j(-1) is divided by f(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2859826, 2859828, 2859834, 2859844?\nAnswer: 2859858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51606?\nAnswer: 2, 3, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -4*n**3 - n. Let f(m) = m**2 + m + 1. Let l be f(-3). Suppose 3*s + l - 1 = -i, 3*s + 4*i + 15 = 0. Let c be p(s). Solve -10 = c*u - 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (5 + 5) - -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 21969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zic when three letters picked without replacement from {f: 2, t: 7, z: 2, c: 6, g: 1, i: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w**2 - 2 + 2)*(4 - w - 4)*(65*w**2 + 110*w**2 - 44*w**2).\nAnswer: -393*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 30.14796 litres?\nAnswer: 30147.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 2 - 2)*(-4 + 4 - 2*w)*(5 + 11*w + 6*w + 35*w) to the form q + f*w + v*w**2 and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 9*m - 11*m**2 + 12 + 104 + 10 - 119 + m**3. Calculate o(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-31)\/7 + 20\/(-35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1381, 2763, 4145, 5527?\n\"Answer: 1382*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 138, -2, -82, 4.\nAnswer: -82, -2, 2, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4749189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q = -t - 20, -4*t - 20 = -2*q + 3*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -3.69529 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/607 and 151\/32778?\nAnswer: 32778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = -67 - -70. Let a(r) = 3 - 206*r + 220*r + r**x + 2 + 10*r**2. What is the lowest common multiple of 42 and a(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a**3 + 3*a**2 - a. Let o = 2 - -1. Suppose -o = 2*c - c. Let h be u(c). Put -5, h, 5 in increasing order.\nAnswer: -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9475270 and 802454.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 19 - 0. Let p = 19 - d. Let f = -3.96 - 0.04. Sort p, -2\/7, f in decreasing order.\nAnswer: p, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 4*k. Let h(v) = 127*v**2 + 23*v**2 + 88*v**2 + 75*v**2 - 41*v**2. Give l(h(y)).\nAnswer: 1088*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -6*t**2 + 2*t - 2. Let b(a) = -8*a**2 + 3*a - 3. Let w(n) = 2*b(n) - 3*c(n). Let f(z) be the second derivative of -z**3\/2 + z. Determine w(f(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 44 - 13. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -44 + 35. Let o be 2\/3*b\/15. Let n = 1.2 - 1.2. What is the nearest to 1 in 3, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -8256?\nAnswer: 1\/4128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 3*r**2 + 23*r - 10. Let y be j(-8). Let v be 1*y\/(-9)*(-12)\/(-8). What is the closest to v in 0.2, -0.3, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of (-4)\/((-16)\/(-12)) + 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 931 is divided by (-12718)\/(-14) - ((-21)\/196)\/((-4)\/16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d\/(d**(-1\/14)\/d))*d\/(d*d\/(d*d**(2\/19)))*d)**(13\/2)\/((d**2\/(d*d**3*d))\/(d\/(d\/(d*d**0*d*d)))**(-14)) assuming d is positive.\nAnswer: d**(-20631\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jzzzpppzzjp. What is prob of sequence ppp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 - 4. Let y be (-1 + -2)*12\/i. Solve y*p - 2 = -22 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 1, -2\/33 in descending order.\nAnswer: 1, 0.3, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9 + 6. Suppose -n = -2*n - 2. Is t at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -2*q. Let w(i) = i**2 - 11*i + 34. Let l be w(5). Let n(f) = 4*f**2 + 2*f**2 - 8*f**2 - l*f**2. What is n(j(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11975 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 22607, -5, 5, 3, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 4498 + 3473 = 0. What are the prime factors of h?\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 758629.\nAnswer: 758629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the third derivative of -1\/12*w**4 + 1\/15*w**5 + 43*w**2 + 0 - 2\/3*w**3 + 1\/60*w**6 + 0*w. Solve x(q) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -21\/8, 2\/5, 1, 61853?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 33939093179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 8636776.8 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y + 3*h - 21, -3*h + 2 = 5*y - 29. Let m be (450\/(-27))\/2 + 8. Which is the closest to m? (a) 0.1 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 + 0 + 4 - -19. Let n = u + 10. Solve f = 2*z + 12, 0*z = -3*f + 5*z + n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6105)\/(-444) + (-12 - 3) - 393\/12?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3*35\/(-45))\/(2\/90). Let u = r - 74. What is the remainder when u is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 6 = -0*l. Suppose 3*g - l*g - 4*f - 24 = 0, 158 = 5*g - f. Let y be (-12)\/(-4) - g\/10. Which is the biggest value? (a) 2\/13 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the first derivative of -x**6\/480 - x**5\/240 - 3*x**2\/2 + 4. Let v(c) be the second derivative of g(c). Factor v(n).\nAnswer: -n**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*z + 2*z + z)*(z**2 - 3*z + 3*z) + 2*z**3 - 4*z**3 + 0*z**3 + z**3 - 2 + 2 - 2*z**3 + 2*z + 3*z**2 - 3*z**2.\nAnswer: -4*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -18960775.86 to the nearest 10000.\nAnswer: -18960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -4*c**3 - 7*c**2 + 4*c - 43. Let l be m(-8). Suppose l = 18*y + 391. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What comes next: -59, -290, -677, -1202, -1847, -2594, -3425, -4322?\nAnswer: -5267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 347*p - 29833. Calculate s(86).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is v in 2*v**2 + 78*v - 252 = 0?\nAnswer: -42, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/11*(-2)\/(-7). Let d be -1*2\/(-2)*(132 + -133). Do d and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b**3 + 99*b**2 - 259*b + 4902. Calculate x(-102).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(84) - (-4*sqrt(84) + sqrt(84))) - (sqrt(84) + sqrt(84)*1*3))\/(3*sqrt(108) + -1*sqrt(300)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 753697 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be 63\/(-6) - 0 - (-1)\/2. Let f = x + 88. Factor -f*z - 300 - 12*z - 3*z**2 + 28*z + 2*z.\nAnswer: -3*(z + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7549728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-33)\/1)\/((-3223)\/6446).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -6*j**3 + 2*j - 2. Suppose 9*a + 160 = 25*a. Let o be 20\/(-3)*(-15)\/a - 0. Suppose 7*g = -3*g - o. Let u(x) = x - 1. Calculate g*y(f) + 2*u(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 3*p**2. Suppose 0 = 3*h - 13 - 8. Let q be 20\/8*(-8)\/(-10). Let i(m) = h*m**2 - 4*m**2 + 0*m**2 - 5*m**q. What is j(i(a))?\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s*s**(-1\/6))\/s)\/s)\/s*((s\/(s*s*s*(s*s**4*s*s)\/s*s))\/s)\/s)**(-6\/11) assuming s is positive.\nAnswer: s**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 951.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = -4*y - 0*w + 1, y + 3*w + 11 = 0. Let t be ((-60)\/(-16) - 3)*y. Suppose t*m = 8*m - 1125. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(40)\/(1*sqrt(4)))\/((sqrt(144) - sqrt(16))\/sqrt(8)))**2 - (0 + 0 + sqrt(30)\/(sqrt(18)\/sqrt(3)) + 5)**2.\nAnswer: -35 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.07 + 0.11. Let y = t - 4.04. Which is the closest to -1? (a) y (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -1865, 17, 1, 3, -1 in ascending order.\nAnswer: -1865, -1, 1, 3, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/(-5) + 9\/15. Let f be (168\/(-204))\/(-7) - 1145\/(-1105). Is f <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9267251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2673859132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) -5\/3 (c) -6684 (d) 0.03 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1276493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -4*i - 2. Let u(g) be the second derivative of g**3\/6 + g**2\/2 - 1021*g. Determine 6*u(f) + 3*x(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15.984 - -0.016. Let u = c + -12. What is the fourth biggest value in 6\/5, u, -1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 287.86566 + -0.02\nAnswer: 287.84566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 386\/37 or -3958\/5?\nAnswer: -3958\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -4 times 33.7\nAnswer: -134.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1892 and 132.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, r: 4, a: 1, x: 3}. Give prob of sequence axrw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = a - 7*g - 424, 5*a - g - 1895 = 0. What is the smallest common multiple of 1 and a?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**2 - 29*b + 635. What are the prime factors of f(-72)?\nAnswer: 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*r = -272*r - 2220 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -82, -5, -1.\nAnswer: -82, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2 + -2 + -1)*27\/(-15). Is 4165\/s - ((-20)\/9 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105 a factor of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -719 divided by -629\nAnswer: 719\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*z**2 - 9*z**2 + 2*z**2)*(39 - 23*z**2 - 3*z - 41 + z**2).\nAnswer: 242*z**4 + 33*z**3 + 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7751*s**2 - 2580*s**2 - 2596*s**2 + 48*s + 40 - 2609*s**2 = 0. Calculate s.\nAnswer: -10\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**2 - q + 3. Let t(k) = -2*k + 2. Calculate -2*b(f) + 3*t(f).\nAnswer: -2*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rdx when three letters picked without replacement from flldxrg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 12*j**2 + 1001*j - 539. What is x(-84)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 + 7)*238\/136?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c = c + 1664. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 take away 0.347?\nAnswer: -9.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2124 rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the first derivative of -48 + 0*f**2 + 53\/4*f**4 - 29*f - 1\/3*f**3. What is the third derivative of o(h) wrt h?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 12*l**2 - 6*l + 1. Let s(x) = -13*x**2 + 7*x - 1. Give 6*a(j) + 5*s(j).\nAnswer: 7*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6002791 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - (2 - 4)) + (-1 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g = 6*g + 40. Solve 5*j + g + 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p**4 + 4*p**4 + 3*p**2 - 12*p**2)*(-2096*p - 1097*p + 4499*p).\nAnswer: 2612*p**5 - 11754*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(4 + (sqrt(448) - (sqrt(448) + -1)**2*5) + (sqrt(672)*2)\/((sqrt(6) + sqrt(24)\/sqrt(4))*-4)).\nAnswer: -522*sqrt(7) + 13446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 165649800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 19*a = -23*a - 24, x = a + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.029, 47\/3, 15?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1041*h - 58891 - 11856 = -6205 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**2 - 11*s - 7. Let v = 16 - 26. Is x(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -0.073, 16 in descending order.\nAnswer: 16, 1, -0.073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -20 - (41 + 27 + -11 + -26)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s + 1. Let x(o) = -91*o - 48. Let h(f) = x(f) + 3*y(f). Is h(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:29 AM and 3:08 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 + s + 3. Let n be z(0). Suppose 5*c - 63 = b - 8, -33 = -n*c + 2*b. Let p = c + -6. Calculate the greatest common factor of p and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85495 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 q = -52 - -52. Solve 4*p + 4*a - 16 = q, 6*p + 16 = 3*p + 4*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -28*j**3 + 111*j**2 + 5*j - 1. Let f be t(4). Factor 0*o - 3\/2*o**2 + 0 - 12*o**f.\nAnswer: -3*o**2*(8*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - 274 - 127 - 219. Put 4, -5, t, -2, 0 in descending order.\nAnswer: t, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**2 + 8*h - 11. Let w be v(-9). Let f be 1\/w + (-4)\/(-8). Let g = 10225 + -10223.3. Which is the smallest value? (a) g (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2910, 6095, 9278, 12459, 15638, 18815, 21990?\n\"Answer: -j**2 + 3188*j - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1040 = -5*m - 8*m. What is the greatest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**3 - 5*y**2 - 8*y + 8. Let v be a(7). Let c be (-3)\/9*-6 - v. Let t = c - -82. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 58733 - 58733.0000031249. What is y rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7003.948 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 36 - 227. Let f = y - -190.9999813. Round f to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*a - 13*a - 252 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**2 - 18*a. Calculate y(19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 90*y - 12. Let u be m(4). Suppose -a + 261 = 2*a + 4*i, 2*i = -4*a + u. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 + 2177?\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 7792773 and -107.32?\nAnswer: 7792880.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 4*b**2 + 18*b + 30. Let d(u) = 11*u**2 + 54*u + 89. Let t(g) = 3*d(g) - 8*y(g). Let n be t(-17). Solve -q + n = 3*i - 8, 3*i = -3*q + 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 726*a**3 - 4*a + 4. Is l(1) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 5*p + 55 = 0, -3*f - 27*p = -25*p - 29. Solve t = -f*v + 30, 4*t - 20 = -5*v + t for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 144 and 62912?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -305 - -306. Let d = 5.2 + -5. What is the closest to d in 3, 3\/5, k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7810717 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 2*b**3 + 1. Let q(u) be the first derivative of -u + 0*u**3 + 1\/4*u**4 + 17 - 1\/2*u**2. What is -f(x) - q(x)?\nAnswer: -3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**2 - 2*z - 5. What is t(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the second derivative of -5\/12*p**4 + 2\/3*p**3 - 1\/20*p**5 - 3*p**2 - 9*p + 0. Let j be i(-6). Solve -5*k + 5 = 5*h, 0 = j*k - 4*k - 5*h + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 3\/2 and -2\/183167537 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0071467648 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*i + 11*i + m - 1 = 0, -4*m + 14 = 2*i. What is the units digit of 12\/(-9)*i*-1317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-17)*c)\/c**(-10)*c**7*c*c**(-14) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -2*g**3 - 3*g**2 + 7*g - 5. Let a(r) = 6*r - 3*r**2 + 0*r**3 - 4 - 2*r**3 + 0*r**2. Give 5*a(i) - 4*d(i).\nAnswer: -2*i**3 - 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the third derivative of p**5\/60 - p**4\/6 - 7*p**3\/6 - 23*p**2. Let s be c(6). Suppose -468 = -14*h + s*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**2 + 9*s + 10. Let c be ((-9)\/(-15))\/(2\/(-120)*-4). Suppose 0 = -x + c - 5. Suppose -3*r = -l - 7*r - 27, 2*r = -x*l - 38. What is b(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 226470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 538*o + 1433*o = 78398 - 17297 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18803\/28 - 672. Let x be 23\/210*550\/(-12). Let s = x - l. Find the common denominator of -101\/6 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 107\/27 + -2273\/594. Suppose -3*s = -5*f - s + 6, 0 = -3*f + 4*s - 2. Let b be 1*(f - (2 - 0)). Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2686911836 to the power of 1\/2, to the nearest integer?\nAnswer: 51835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 132 + -1 - (128 - (32 - -81))\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 + u - 3 + 4)*(2*u - u**2 - 2*u + (-4 - 2*u**2 + 4)*(0 + 1 + 1) - 12*u**2 - 21*u**2 + 6*u**2).\nAnswer: -32*u**3 - 320*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be (7 - 6)\/(2\/(-32)). Let v = -15 - u. Solve 0 = 5*d + 2*h + 17, -3*d + 3*h + v = 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2775 from -1418448.\nAnswer: -1421223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1040945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1100011 + 1011101001?\nAnswer: 1010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.6 - 3.4. Let q = -6 + -1. Let d = q + 8. Sort d, 0, p in decreasing order.\nAnswer: d, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 6 = -6*k. Let c(j) = j**2 - 2. Let y be c(2). Do k and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/6*13\/104*-408?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3222.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2297 - 18415\/8. Suppose -7*z - 109 = 11336. Let p = z - -8228\/5. Find the common denominator of s and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 2*q, -5*q + 4 = -5*v + 34. Suppose a + 25 = 3*t, 5*t - 4*a = 27 + v. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve h + 1857*a = 1862*a - 29, 0 = 67*h - a + 273 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6701533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the third derivative of x**4\/24 - x**3\/3 - 24*x**2. Determine f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43467940 a multiple of 1831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the first derivative of -t**3\/3 - 2983. Let b(l) = 815*l**2. What is j(b(z))?\nAnswer: -664225*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 379737 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 461.9375g in micrograms?\nAnswer: 461937500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22719 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-5289)\/14104*(-1 - (-32)\/36)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -22.81 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -155 (b) -3 (c) 7 (d) -1\/2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*t**3\/17 + 3752*t**2\/17 - 21784*t\/17 + 28768\/17 = 0. What is t?\nAnswer: 2, 4, 1798\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1829\/24 - 327\/8. Let f = y - 521\/15. Sort 2, f, 3 in decreasing order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(1\/(-28)*-4))\/(-6)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 173062 is divided by 34610.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -2 + sqrt(300)*-1 - (sqrt(2541)*-2)\/(sqrt(42)\/sqrt(96))) + 1 + 1.\nAnswer: -1 + 78*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -71360 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g**2 + 19*g - 921. What is the remainder when w(34) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - (-1 - -5)) + 4 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -373400 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6106.547 + 6069.5. Let s = y - -0.047. Let v = -31.6 - s. What is v rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 5*n + 3. Suppose 0 = -2*p - 5*m + 2, 9*p + n*m - 5 = 4*p. What is the tens digit of ((1\/(-3))\/p)\/((-16)\/1968)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 12:42 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1112 + 11132032?\nAnswer: 11130320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 3 = 2*z, 2*z = -49*t + 51*t + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(-2\/5))\/h*h)\/(h*h\/h**(-6))*(h**(2\/5))**(-20) assuming h is positive.\nAnswer: h**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1114 and 97780236?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l*l*l\/(l\/(l*l\/((l*l*l*((l\/(l\/l**5))\/l)\/l)\/l)))*l*l**(2\/19))\/(l**(1\/14)*l\/(l\/l**(-9))) assuming l is positive.\nAnswer: l**(2669\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2937 and 662006653?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1232 and 8299760?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 7845347 by 40.\nAnswer: 7845347\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 2 - 2)*(-g - 3*g + 3*g) - 2*g + 1 - 1 - 3*g - g - 2*g + (0 + 7 - 2)*(-1 + g + 1) in the form v + r*g and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -2*s**5 + 322*s**4 + 1314*s**3 + 998*s**2 - 1312*s - 1320 = 0.\nAnswer: -2, -1, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/20? (a) 1 (b) 0.5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 37.28 - 0.1\nAnswer: 37.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t - 3*t + 2*t)*(455 + 70 + 2513 + 260 - 182).\nAnswer: 3116*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the first derivative of 1\/20*w**4 + 1\/5*w**3 + 2 + 1\/5*w + 3\/10*w**2. Factor n(l).\nAnswer: (l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8 - 6. Suppose m*y - 2*n = 10, 4*y - 5*n - 19 = -3. Suppose 3*p - 87 = -3*j + 8*j, 5*p - 3*j = 161. What is the remainder when p is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 13 - 7 = 0. Let r(k) = k**2 - 3*k + 9. Let j be r(v). Let t(c) = j*c**3 + 2*c + 0*c**3 + 0*c**3 - 1. Calculate t(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -432 = -26*d + 24*d - 2*y, -1080 = -5*d + 5*y. What is the greatest common divisor of 24 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -311\/12 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25 - (1 + -18 - (151 + -175))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 797432466?\nAnswer: 2, 3, 132905411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -23*w**3 - 46*w - 4 - 55*w + 5 + 0*w**3 + 9*w**2 + 5*w**3 wrt w?\nAnswer: -108*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1332823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (l - 2*l**2 - l + (-2*l + 6*l - 3*l)*(-4 + 4 + 2*l) + l**2 + 0*l**2 + 0*l**2 + 0 - 2*l**2 + 0)*(-448 - 191 + 23).\nAnswer: 616*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*u**2 + 38943852*u + 28343408 with respect to u.\nAnswer: 6*u + 38943852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -9*c + 135. Let q be t(15). Suppose -60*b + 54*b + 18 = q. Solve -6*l + 9*l = -b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15283?\nAnswer: 17, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.047 + 0.763. Let c = 0.8100015 - j. What is c rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10*x**2 - 9*x**2 - 6*x**2 - 15*x**2 as a + f*x + m*x**2 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 376.217174 and -32?\nAnswer: 408.217174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f + 2*f - 9. Let p = 3 - f. Let w = -25 + 27. Solve -8 = -w*x - p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxpxxpxx.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58836?\nAnswer: 2, 3, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**3 + q**2 - q + 3. Let u be a(0). Suppose o = 2*m + 2*m + 4, 0 = m. Suppose -o*v = -u - 9. Solve 4 = -2*h + 2*j, -2*h = v*h + 3*j - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((378\/24)\/21)\/((-1)\/(-8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1025 - 1027. Which is the third smallest value? (a) -2.06 (b) t (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes before 10:12 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (42*t + 31*t + 64*t)*(0 - t**2 + 0).\nAnswer: -137*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 2*y - 4628, 9141 = 3*l - 2*y + 2204. Suppose -l + 201 = -2*m. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, x: 2, t: 1, m: 4, g: 1}. Give prob of sequence mx.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**3 + 6*n**2 + 3*n + 4. Suppose 3*c = -3*u + 5*u - 13, -2*c + 4*u = 6. What is the units digit of j(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b**4 - 6*b**4 + b**4)*(7 + 55*b - 7) + (2*b + b - b)*(-b**4 - 5*b**4 + 4*b**4) + (3*b - 4*b + 3*b)*(-3*b**2 + 2*b**4 + 3*b**2).\nAnswer: -165*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxjuxxxouxiuxuxkx. Give prob of picking 1 o, 1 k, and 1 j.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(3) + 0 + 2 - (1*sqrt(108) + 0 + sqrt(147)))**2.\nAnswer: -96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 295 = -2*b, -38 = -q - 5*b - 2. Suppose -2*i + q = 5*j, -3*j + i + 47 = -3*i. Let d = 36 - j. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*j - 1996 = 53*j + 13 - 111 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 2*y + 3. Let j be o(-3). Let p = -3 - j. Suppose -128002 = 2*d + u, 0 = 3*u - p*u + 6. What is d rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/1*(-14)\/(-21)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(1792)*2 + 3*(0 + sqrt(1792)) + sqrt(1792) - (3 + (sqrt(1792) - (0 + sqrt(1792)))**2 - (-5 + sqrt(1792) + (-1*sqrt(1792) - sqrt(1792)))).\nAnswer: -8 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 19476 less than 0.1?\nAnswer: -19475.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z - 103 + 115. Let a(c) = -6*c**z + 3*c - 10*c**2 + 13*c**2 + 11*c**2. Let y(t) = 2*t**3 - 5*t**2 - t. Determine -6*a(q) - 17*y(q).\nAnswer: 2*q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 2*o = 46, 4*o + 3 = 2*u + 1. Let a(t) = -t - 2. Is a(u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.06 + -0.34. Suppose 15 = 5*p - 3*l, -4*p + 5 - 1 = -4*l. Let u = 5 - p. Which is the closest to 0? (a) g (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -9*m**3 - m - 2. Suppose 0 = -5*k + 5*f - 5, k - 8 = -f - 9. Calculate the lowest common multiple of d(k) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 120457 is divided by 4009?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r*r**(-12))\/r*r)\/r**(3\/17) assuming r is positive.\nAnswer: r**(-173\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44985?\nAnswer: 3, 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - (1 + 2 + -1 + (6 - 18) + 41).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 556, 1126, 1710, 2314, 2944, 3606?\n\"Answer: w**3 + w**2 + 560*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 131371 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: What is the hundreds digit of 486042193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 6*w**3 + 3*w**2 - 9*w - 6. Let h(b) = -7*b**3 - 3*b**2 + 10*b + 6. Let u(d) = -6*c(d) - 5*h(d). What are the prime factors of u(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1931 and (54\/(-36))\/((-1)\/(-6)) + 10?\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the second derivative of -x**7\/630 - 2*x**6\/15 - 7*x**3 - 4*x. Let l(y) be the second derivative of c(y). What is k in l(k) = 0?\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 3 b when four letters picked without replacement from {f: 2, b: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1554352699.\nAnswer: 59, 26344961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q - 1 + 10. Suppose q*f - 2*f - 223 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 48112 and 3880.\nAnswer: 240560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 6*d**3 - d**2 - 17*d + 54. Is 39 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000098084 rounded to seven decimal places?\nAnswer: -0.0000981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d - 2*d**3 - 2*d**2 + 3*d**2 - 2 - 2*d**4 - 3*d**2 + d**2 to v + j*d**3 + i*d + c*d**4 + g*d**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1700) + -1 + 5 + sqrt(17)*2.\nAnswer: 4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence izz when three letters picked without replacement from {i: 1, z: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -1176.82919 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 116 = -2*h, -36*h + 3*s - 56 = -37*h. What is the remainder when h is divided by 0 + -2*(-35)\/2?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*w + 5. Let y be w - (-12)\/(-56)*-132. Let t = 25 - y. What is the second biggest value in 8, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 670 is divided by 661.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = -4*z + 42432, 4*z + 0*f - 42432 = -2*f. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 991488570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1098 - 267. Let k be 54532\/(-8)*(-2)\/10. Let h = k + o. What is the common denominator of h and 7\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 404 is divided by 202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find t such that -3*t**2 + 176238*t - 1233519 = 0.\nAnswer: 7, 58739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2 + -72 + -46 + -26 + 54 + 4\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 423*x = 5*h + 420*x, -5*x - 25 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 729183 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(3\/5)*(i\/(i**(2\/3)\/i)*i*i*i*i*i)\/i*i*i*i\/(i**(-3\/5)\/i)*i**(-4) assuming i is positive.\nAnswer: i**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 2 + 3 + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 272341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15 + 24. Let d(l) = -l**2 + 10*l - 2. What is the remainder when ((-2496)\/(-96))\/((-2)\/(-3)) is divided by d(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(-10)*(298\/(-1122) - (-180)\/495).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -154 (base 16) in base 12?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7320 = 289*b - 3951. Sort 5, 2, 1, b, 3 in decreasing order.\nAnswer: b, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(-6)*6\/3. Differentiate a + 5 - 5*d + 0 - 1 wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3794992 and 4520.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10 - 11 + 9)*(0*c + 0*c + c) + c + 2*c - 4*c + (-3 - 3 + 4)*(c - 4*c + 2*c) + c - 1 + 1 + (2*c - 1 + 1)*(0 + 4 - 2) - c + 0*c + 0*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1 - 1)\/(0 + -1). Suppose 3*m = h, -t - m + 9 = -1. Let q = 9 + t. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*l**4 - 3*l**4 + l**4 + (3 + 1 - 3)*(-7*l**2 + 7*l**2 + 2*l**4).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-36)\/(-15)*(450\/5)\/(-9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -23*n + 10. Let x be g(-6). Suppose 2*k + 50 = x. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -468 + 503. Solve 3*k + 2*v - 6*v = w, k - 5*v = 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 4*b. Let p(q) = -4*q**2 + 2. What is p(j(k))?\nAnswer: -64*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*j - 682667 + 1365304 - 682637.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -458\/7 + 223060\/3409. Let j = i + -2936\/3409. What is the third biggest value in 2\/3, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70 a factor of 1943760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v\/v**(-2\/7)))\/v)**7\/(v**(-22\/5)\/v**(-5)) assuming v is positive.\nAnswer: v**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the third derivative of 20*o**2 + 0*o**3 + 0*o + 0 - 5\/24*o**4. Let n(z) be the first derivative of z**3\/3 + 5. What is n(a(i))?\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/4 + -7)*(-4)\/8. Sort -3, -4, -1, w in ascending order.\nAnswer: -4, -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12563 - -12563.000007919. Round c to seven dps.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6135 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the first derivative of 0*u**2 + 7 + 0*u + 0*u**3 + 0*u**4 + 2\/3*u**6 - 4\/5*u**5. Suppose y(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -598 (base 11) to base 15.\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 8028*m + 2 + 2*m**2 - 5 - 7989*m as r*m**2 + p + c*m and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*d + 17*d + 0*d + 12*d to u*d + f and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 194916351 and 11995.\nAnswer: 974581755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2 take away 139962?\nAnswer: -139960.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 53, 25, -5, -37?\n\"Answer: -v**2 - 25*v + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -26*w**2 - 7*w - 13. Let i(d) = 26*d**2 + 5*d + 18. Determine -2*i(s) - 3*x(s).\nAnswer: 26*s**2 + 11*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 38172.71ng to grams.\nAnswer: 0.00003817271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 7647 = -2*u - v + 7679, -22 = -u - 2*v for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (34\/(-1785)*-21)\/((3\/3)\/65).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4 and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -131*d + 146 + 31 - 46 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 1 (b) -4 (c) 2\/11 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u - 9. Let y(b) = -1. Let d(j) = -2*r(j) + 18*y(j). Let g(p) = -28*p**2. What is g(d(v))?\nAnswer: -112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -94*z**3 - 4*z**2 + 9*z - 1777. Let s(d) = -d**2 - d + 3. Let h(u) = 2*s(u) - y(u). What is the derivative of h(c) wrt c?\nAnswer: 282*c**2 + 4*c - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 95 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (17 - 9 - 10 + 11*a)*(22 + 21 + 26 - 25).\nAnswer: 484*a - 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36 and 2232.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.24, -5, 0.2, 5\/42, 10, -1\/5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(418) - (sqrt(418) - (sqrt(418)*-2 - sqrt(418)) - sqrt(418)))\/sqrt(11))\/(-4*sqrt(50)).\nAnswer: sqrt(19)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -2 - w + 220626*w**2 + 0 + 6 + 6*w. Suppose 0 = x + 5 - 1. Let c be z(x). Round c to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 160\/9 - 976\/63. Let i be (-17)\/(714\/(-36)) + (216\/63 - 4). Factor i*p**2 + 32\/7 - w*p.\nAnswer: 2*(p - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -3 (b) 0 (c) 57 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:49 PM and 9:56 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be 38\/8 - ((-20)\/16)\/5. Suppose -5*p + 19 = -4*a, -4*a = -p + 2 + w. Differentiate -9 + 10*c**p - 10*c**4 - 11*c**4 - 10*c**3 with respect to c.\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the third derivative of v**6\/120 - v**4\/8 + v**3\/6 - 26*v**2. Let j be k(-3). Which is smaller: -18 or j?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxdrxrlxxnxwdxnrnn. What is prob of picking 1 l and 1 w?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = -7*a + 55. What is the common denominator of -14\/183 and -5 + (-106)\/a*39\/(-52)?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 2*w - 2)*(0 + 0 - w) - 18*w**2 - 6175*w + 6175*w + (-w - 2 - 5*w + 4*w)*(5*w - 2*w - w + 1) to j + r*w + p*w**2 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5 - (0 + (4 - 1)). Let z = -133 - -202. Suppose -93 = -6*b - z. Sort u, -5, b in ascending order.\nAnswer: -5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3914*a + 201240 = 6148*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/322 and 83\/2.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*y + 2*z - 41 = 0, 2*y - 15524948*z + 15524952*z = 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 4*w**3 - 5*w**2 + 2*w + 1. Let o(m) = -5*m**3 + 5*m**2 - m - 2. Let h(r) = 4*d(r) + 3*o(r). Let v be h(4). Suppose -3*y - 1 = v. Does 2\/41 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5*i - 19*i + i)*(i**3 - i**3 + i**3 + (0*i**2 + 4*i**2 - 2*i**2)*(-4*i + 2*i + 0*i)) in the form h*i + y + r*i**4 + d*i**2 + l*i**3 and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 119\/575451780 and 109\/7080.\nAnswer: 1150903560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out 401621 - -6.8.\nAnswer: 401627.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 273 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes after 4:05 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((128\/(-48))\/4)\/(2\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -3*i**2. Let l(d) = 9*d**2 - 6*d - 57. Let y be l(-5). Let j(f) = 17*f - 88 + y - 109. Give o(j(h)).\nAnswer: -867*h**2 - 102*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:12 PM and 11:40 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*r - 30*r + 19*r + 5305.\nAnswer: -r + 5305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1747755, 3495510, 5243265, 6991020?\n\"Answer: 1747755*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21*b**3*y**3 + 328299*b**3*y + 2997*b*y**2 + 8*y**3 wrt b?\nAnswer: 126*b*y**3 + 1969794*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3232 and 8?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -12, 0, -5, 1 in descending order.\nAnswer: 2, 1, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -6*h + 3. Let r be y(-5). Let p = r - -11. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 - -4. Suppose 3*b - a = 57. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5.7 - 8. Let b = -2.64 - c. What is b rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 37413973 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2678, 2646, 2614, 2582, 2550?\n\"Answer: -32*j + 2710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*k - 5*q - 0*q - 13, -4*k - 7 = q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 254 - 2629 = -17*k - 63. What is the smallest common multiple of 272 and k?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.5 - -4.7. Let t = z + -0.2. Let r = t - 2. Put -3, r, 1\/12 in descending order.\nAnswer: 1\/12, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 84*g - 1427. Let k be s(17). Let j = 0 + 3. Let d(i) = -2*i**2 + 3*i - 1. Let u(x) = x**2 - x. Determine j*u(l) + k*d(l).\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {p: 1, k: 1, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-1 + sqrt(112)) + -5 - ((sqrt(112) + -1)*3 + (-1 + sqrt(112))*-3))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 48556 and 3781.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -3\/2, 6.8, -1, -3\/95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the third derivative of -1\/4*r**5 - 13\/40*r**6 + 0*r**3 + 0 - 6*r**2 + 0*r + 0*r**4. What is the third derivative of x(s) wrt s?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 300\/7 + 3\/7*i**3 + 42*i**2 - 597\/7*i.\nAnswer: 3*(i - 1)**2*(i + 100)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1040 = -104*i + 39*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**3 + 4*h**2 - 6715*h + 26876. Determine f(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 6*c - 21*c + 3*c**2 - 2 - 4*c**2 + 3. What is the units digit of d(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 4 (c) 5 (d) -406\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 194087.9 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-84)\/(-182)*2\/12?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13643, 13662, 13683, 13706, 13731, 13758, 13787?\nAnswer: 13818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2397910 divided by -8.\nAnswer: 1198955\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1587335.\nAnswer: 5, 167, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4408748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -740, 2, 1\/12, -2, -1, 1 in descending order.\nAnswer: 2, 1, 1\/12, -1, -2, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 - 3\/((-6)\/8). Let n(x) = x - x + f*x. Let d(k) be the second derivative of -k**3\/3 + 16*k. What is d(n(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.52449415 rounded to four dps?\nAnswer: -0.5245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -87.22 and 1052?\nAnswer: -91755.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 570077 is divided by 565?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -32*b**3\/7 - 46*b**2 + 332*b\/7 + 22\/7 = 0.\nAnswer: -11, -1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 1 + 1)*(313 - 313 + 995*s) + 2*s - 6*s + s in the form j + o*s and give o.\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 472516557625 + -1?\nAnswer: 472516557624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*d - 3*d + 612. Let f = 290 - d. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = 3*g - 4*g. Suppose -5 + g = 2*o. Find the third derivative of -r**2 - o*r**6 + 4*r**6 - 2*r**6 wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 609730 divided by -121946?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 179 - 124. Let j(x) = -7*x**2 + 9*x - 9. Let a be j(7). Let b = 301 + a. What is the remainder when d is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 * -5329\nAnswer: 26645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 59 + -9. Suppose -10*r + 5*r - g = 0. Let t = r - -66. What is the greatest common factor of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.06 + -1.94. Let t = 1.3 + -0.3. Let j = y + t. Which is the second biggest value? (a) j (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 110\/2*(-1 - -2). Suppose 5*m + 3*h - 6 = 0, -5*h + 11 = m + 1. Suppose m = -0*w + 5*w - o. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 + 3 - (1 + -1). Let s be ((-20)\/(-25))\/((-1)\/(-5)). Solve -5*o + 17 = -s*l, r*l + 7 = -5*o - 0*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the second derivative of 1271*n**4\/4 - 425*n**3 + 3489*n. What is the second derivative of p(j) wrt j?\nAnswer: 7626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(133) - -2*sqrt(133)) - 4*(-3*sqrt(133) + sqrt(133)))\/(-4*-2*sqrt(1008) - sqrt(1008)*2*3).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -225 + 221. What is the tens digit of 1195 - ((-74)\/(-111))\/(k\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the third derivative of -15*z**7\/14 + 59*z**5\/30 + z**3\/6 + z**2 - 12. Find the third derivative of t(x) wrt x.\nAnswer: -5400*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*y - 35 + 17 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51270 is divided by 130.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 4*g**2 + 9*g - 149. What is the units digit of j(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**3 - 6*b**2 - 2*b + 1. Determine n(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2481.3 + -2480.9. Let w be 105\/(-10) - (-2)\/(-4). Let l be w\/(-8) + 1\/(-1). What is the closest to -1\/4 in l, x, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 8, b: 2, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 9783*v - 69 = -9766*v, 6*k - 2*k - 4*v - 36 = -0*v for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -446960405 greater than or equal to -446960405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tuu when three letters picked without replacement from tlwguqul.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 17*y - 12. Let x be k(2). Is 16\/(-88) + (-62)\/x - -842 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the second derivative of -5*r**7\/14 + 25*r**6\/6 + 13*r**5 - 25*r**4\/3 - 78*r. Solve p(t) = 0.\nAnswer: -2, 0, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 100101010111011111 (base 2) to base 10\nAnswer: 153055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(1\/5))**(4\/13)\/((t*t**(-1\/9))\/(t*t\/t**4)))**18 assuming t is positive.\nAnswer: t**(-3308\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(1\/5)\/z**0)**(-1\/17)\/((z**(-1\/3)\/z)**(-4\/27)*z**(-7\/5)*((z\/((z\/(z\/(z*z*z*z*z\/z**(-1\/18)*z)))\/z))\/z)\/z) assuming z is positive.\nAnswer: z**(99781\/13770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -70275, -3.\nAnswer: -70275, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/6 and 125\/326178498.\nAnswer: 326178498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 139 + 3 + 37*z + 41*z - 105*z + 37*z. Calculate c(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -90*a**2 + 80*a**3 - 91*a**2 - 90*a**2 + 271*a**2.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 238945 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*b**3 - 19*b**2 + 34*b - 1243 wrt b.\nAnswer: 6*b**2 - 38*b + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (8 - (-2 + 13)) + 6 and (8 + 1)\/(0 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18050 is divided by 8999.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-10)\/(-80)*12)\/(7\/2))\/((-6)\/105).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of 15*p - 5\/2*p**2 + 11. What is the units digit of c(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - u = -5*w - 16, -8 = 2*w + u. Let y = w - -6. Suppose y*f = 4*f + 12. Which is the third biggest value? (a) 1\/2 (b) f (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -1, 112 in increasing order.\nAnswer: -6, -1, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - -7. Suppose -3*o - q + 8 = 0, d*o + 6*q - 4 = q. Find the third derivative of 2*v**2 + 15*v**3 + 4*v**2 + 17*v**3 - 33*v**o wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:29 PM and 5:57 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the third derivative of -n**6\/48 + n**5\/2 + 5*n**2. Suppose i(t) = 0. Calculate t.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 17023504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 14*v - 14 = -11*v, 50 = -5*b - 5*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 104 and 263397108.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3720 and 2015?\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -2*o + k - 4, -4*k = -5*o + 4. Suppose 2*u + 18000 = -o*u. Round u to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24546174 + 24546174 - 16*n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5 or 3\/26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*g + 33761 - 71813 = -33624 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43344147 is divided by 653.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -4596*t + 2*t**3 - 3*t**3 + 5*t**2 - 3 + 2*t**3 + 4595*t. Let c be 0\/2 - (-5)\/(-1). Determine b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in 7533*o**4 + 15069*o**3 - 30126*o**2 - 60276*o - 24 = 0?\nAnswer: -2, -1\/2511, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 243 = -3*u, -5*u - 73 = -j - 2. Suppose -2*c + 3*c - 2*p - j = 0, -3*p + 203 = 5*c. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 2*m - 7*m. Let i(s) = 171 + m*s - 171. Let a(l) = -l. What is i(a(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Total of -11 and 532.\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -16, 7 in increasing order.\nAnswer: -16, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -117\/157030 and 111\/61280?\nAnswer: 2512480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 71*h + 614*h + 30*h**5 + 31952*h**3 - 31947*h**3 wrt h.\nAnswer: 600*h**3 + 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000506754776 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2 + 7*k - 5. Suppose -4*s + 18 = -2. Suppose s*f = -0*f + 25. Does 5 divide q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 910 - 909.8941. Round t to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 310482614 to the nearest integer?\nAnswer: 17621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 154921*j**3 + 4*j**2 + 14423?\nAnswer: 929526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(2 - 24\/15). Let v(c) = c**3 - 6*c**2 + 4*c + 7. Let r be v(l). Find the third derivative of r*u**5 + u**2 - u**5 - 4*u**5 wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2450504 + -2450430.64515. Let v = -70.355 + z. Let n = v - 3. What is n rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f - 3*s = 0, -4*s = 2*f - 2*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1542 = 348*t - 354*t. Let h = -253 + t. Solve h*z - s - 18 = 0, 3*s = 4*z + 3 - 17 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 21005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**3 - h**2 - 17*h - 6. Let a be j(-2). Solve 0 = -2*t - 8, 4*b + 0*t - a = -t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 4 (c) 24 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be 25\/68 + 2\/(-8). Let n = -16 + 10. Let a = 8 + n. Put f, a, 0.3 in increasing order.\nAnswer: f, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: a8732 (base 13) to base 7\nAnswer: 2405331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12 - (-2451)\/(-114))*6.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 562 divided by 5.\nAnswer: 562\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 49475.014867 + -49991.91484373. Let a = y - -516.9. Round a to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + 7. Let a = -1 + y. Let p = 12 - a. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g + 6. Suppose -z - 2*d = -6*z + 44, -2*z + 4*d + 24 = 0. Let j = z + -14. Let i be a(j). Solve 0 = -5*u - 2*n, i = -5*u - 5*n + 7 + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1523128 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2073492.6 months in years?\nAnswer: 172791.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -79 - -145. Let j = -196\/3 + m. Let 0*r + 2\/9*r**5 - 2\/3*r**4 - 2\/9*r**2 + 0 + j*r**3 = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -2*i. Let q(r) be the first derivative of 4*r**2 - 26. Determine o(q(j)).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -3*v - 3*y - 7, -4*v + 2*y = 22. Let f be 2*-2*(-1)\/v. Let c be f\/1*(-16 - -16). Solve -2*i + 8 = -c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1257, -2516, -3775, -5034?\n\"Answer: -1259*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -40*l**2. Let p(q) = 15*q. Calculate p(b(f)).\nAnswer: -600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -17a436 (base 11) to base 16\nAnswer: -43b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 1*sqrt(567) - sqrt(567))*-1*-5 + (1*sqrt(567)*-6 - (sqrt(567) + (sqrt(567) - (sqrt(567) + 0)*1)))**2.\nAnswer: 27808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8928395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -451?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (((-39)\/78)\/((-2)\/28))\/(1 + -10)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the first derivative of 0*o**4 - 13\/3*o**3 - 7\/5*o**5 + 14 + 0*o**2 + 0*o. What is the third derivative of h(c) wrt c?\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-936)\/315)\/(-26))\/(4\/(-50))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 8*w**2 - 10*w - 9. Is x(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 2 n when four letters picked without replacement from {o: 2, n: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = i + 18. Calculate the least common multiple of 54 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-3) - -2 - (-12)\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 311598393?\nAnswer: 3, 9343, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 580 and 5?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6997 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 4 + -4 + 5 + 1*sqrt(176) + sqrt(176).\nAnswer: 10 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 274131100 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k + 7*k - 20. Calculate the smallest common multiple of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 2*r - 6. Let f(l) = 6*l - 4. Calculate the smallest common multiple of g(8) and f(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -48 - -45. Let r be (1 - p)\/(15\/(30\/4)). Solve f - 5*c = -1 + 21, 8 = 2*f - r*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 216296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 77*i**2 + 20*i - 829. Let w(j) = 19*j**2 + 5*j - 205. Let u(m) = 2*k(m) - 9*w(m). What is the first derivative of u(g) wrt g?\nAnswer: -34*g - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -67409 = -149*i - 62045 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o**2\/4 - 2294967*o\/2 + 22949745\/4 = 0. What is o?\nAnswer: -1529983, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 63.91014kg to nanograms.\nAnswer: 63910140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 + (4 - -3))*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -63*n + 3207. Give k(51).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5.883 - -5.923. Which is the smallest value? (a) -0.4 (b) 0.4 (c) q (d) -26\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 815\/8 + -102. Let l = 0.33 - 41.33. Let f = l + 45. What is the second smallest value in 2\/13, f, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 31354 and 3.6.\nAnswer: 112874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.028 (b) -1\/7 (c) 216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 5*b - 3*u + 31, -b - 21 = -5*u. Let f be (-6)\/(-4)*16\/b. Is 3 a factor of f*3\/2*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -23 - 2*j + 8*j + 11*j**3 - 4*j**3 + j + 29 as z*j**2 + r*j + o + h*j**3 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the third derivative of -z**4\/24 + 230*z**2 + 4*z. Let o(n) be the second derivative of 1\/3*n**4 + 0*n**2 + 0*n**3 + 6*n + 0. Calculate o(d(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*l + 2*v + 856 = -4*l, -3*l + 636 = -3*v. Let m = -14 - -45. What is the remainder when l is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-63)\/(-7)*-4*(-63)\/(-108)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be 16\/(-32) + 15\/(-10). Sort b, -29, -4 in ascending order.\nAnswer: -29, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -10662662 + -6?\nAnswer: -10663001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14747640.\nAnswer: 2, 3, 5, 59, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the third derivative of m**6\/120 + m**5\/30 + 5*m**4\/8 + 423*m**2. Let i(s) = -s**3 - s**2 - 8*s. Calculate -5*i(z) - 3*n(z).\nAnswer: 2*z**3 - z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4407868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -175 + 189. Let w = -52 + 164. What is the highest common divisor of w and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(38)\/(-1*sqrt(2)))*1.\nAnswer: -sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.1, -239, -5308, 0, -5, -0.1.\nAnswer: -5308, -239, -5, -0.1, 0, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -8391 plus -0.1?\nAnswer: -8391.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 355 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 17 and 44333?\nAnswer: 753661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 53042028 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -305*a - 5. Let z(b) = 963*b + 14. Calculate 8*i(s) + 3*z(s).\nAnswer: 449*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 4 - 2 + 3*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**2. Let i(h) = -12*h**2 + 5. Let f(o) = -13*o**2 + 13*o**2 - 18 + 42*o**2. Let k(a) = 5*f(a) + 18*i(a). Calculate b(k(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gnea when four letters picked without replacement from gehhhenah?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 7*z**2 + 2*z. Let n(v) = 26*v. Give n(h(i)).\nAnswer: 182*i**2 + 52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 397, 764, 1121, 1462, 1781, 2072, 2329?\nAnswer: 2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 5 = -3. Suppose -3*o + 2*o - m = -46, -93 = -g*o - 3*m. What is the highest common factor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 18*k - 13*k + 35. Let g be ((-6)\/15)\/(k\/210). Let c be ((-8)\/g)\/(2\/5). Is -3 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -66123275*r**2 - 146498470?\nAnswer: -132246550*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 261 is divided by 90?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -5, 0.5, 9\/8, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14609, 14599, 14587, 14573?\nAnswer: 14557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-483)\/(-9)*(-11 + 6 + 14) is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (352\/(-10))\/((-4)\/70). Let s be 4\/(-6) + i\/42. Suppose -2*z = -z - 35. What is the highest common factor of z and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.8*44771\nAnswer: 35816.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 5*k**5 + 8*k**2 - 3*k - 25. Let f(j) = -2*j**5 + j. Let p(a) = -d(a) - 2*f(a). Find the second derivative of p(n) wrt n.\nAnswer: -20*n**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.0131 (b) 4\/47 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -186.35 + -6.45. Let u = x - -31.8. Let y = u + 161.292. What is y rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is e6 - 147?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**3 - 9*u**2 - 11*u + 12. Let n be f(10). Let q(h) = 0*h + 4 + n*h - 10*h. Is q(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -596051 by 6.\nAnswer: -596051\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(931) + 2)*4.\nAnswer: 8 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xfpx when four letters picked without replacement from uuxfufpxuffppfuupu.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/2, -0.1, 2\/19, -1\/8, 0.09?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 58*(-11)\/(-44660)*-6\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -96622 (base 11) in base 5?\nAnswer: -13444010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be 70\/(-14) - (-39 - -2 - -1). Solve 9*v = -13 + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 5*w - 3. What is z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7 + -3. Let h(a) = 2*a - q*a - a**3 + a. Let s(v) be the third derivative of -v**6\/20 - v**4\/6 - 9*v**2. What is 4*h(n) - s(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 61, 110, 167, 232, 305, 386?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1\/20)*z*z*(z**(2\/21)*z)\/z*(z**(-7))**(-11))**(-11) assuming z is positive.\nAnswer: z**(-365189\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47554 is divided by 1707?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 66760*f**2 + 12*f - 2*f**3 - 818*f - 66760*f**2.\nAnswer: -2*f**3 - 806*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 5 - 15 = 0, 4 = -4*s + 3*o. Let v be 6\/s*1\/18. Let t = v + -7\/12. Which is the nearest to 0? (a) -0.2 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.022 + -0.078. What is the smallest value in 2\/13, f, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 7*v + 15. Calculate u(12).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 27\/5 of a millennium?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 274, 238, 190, 124, 34, -86, -242, -440?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6*(9\/2 + -5) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 944490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the second derivative of 0*y**4 + 0 + 2\/5*y**5 + 184*y - 1\/3*y**3 + 1\/6*y**6 + 24*y**2. Find the second derivative of b(t) wrt t.\nAnswer: 60*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(1152))\/((sqrt(12)*-4)\/sqrt(2)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1385 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 179 divide 10561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10 and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -5b2 (base 16) to base 15.\nAnswer: -673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -33*n**5 - 6*n**4 - 11*n**3 - 27207*n**2?\nAnswer: -1980*n**2 - 144*n - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 576, 9, -1490, -4371, -9084, -16079, -25806?\n\"Answer: -75*w**3 - 16*w**2 + 6*w + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -5*o**3 - 20*o**2 + 19*o + 40. Let b(r) = 14*r**3 + 60*r**2 - 50*r - 121. Let a(j) = -6*b(j) - 17*u(j). Give a(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 59661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 223 + 211. Suppose a - h - 197 = -4*h, -2*a + n = -4*h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 49193860\/7 or 7027693?\nAnswer: 7027693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 278006 is divided by 306.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 184 and 3464329?\nAnswer: 27714632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -27*r**2 - 6*r - 38. Let l(b) = 10*b**2 + 4*b + 13. Let z(c) = 8*l(c) + 3*s(c). Determine z(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -313097*a**5 + 3*a**2 + 7841*a + 4?\nAnswer: -18785820*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 70070 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39839693.\nAnswer: 89, 447637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/40 - 874\/160) + -1 + (-8 - -15).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 74 + -40. Suppose 0 = -4*t + p + 2327, -5*t + 10*p = 7*p - 2900. Find the common denominator of t\/(-66) - (-6)\/3 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + s**3)*(55*s**2 + 88*s**2 - 4*s**2)*(-3 + 2 + 2)*(3 + 2 - 1).\nAnswer: 556*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 5) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/19, 2\/11, 0.2, -19, 19, 1\/6?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 9) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -173*y + 74. Let h(n) = 208*n - 37 - 226*n + 105*n. Let l(q) = -5*h(q) - 2*w(q). Is l(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 0.8. What is the third biggest value in 1, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/33, 244, 0.3, 0.4, -2\/3 in increasing order.\nAnswer: -2\/3, 1\/33, 0.3, 0.4, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 8855054 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are -96552.5 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/2, 2\/5, 22, 1\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:51 AM and 8:43 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 26*c**3 - 14687*c*x**3 - 27878424*x**3 wrt c?\nAnswer: 78*c**2 - 14687*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4*(-6)\/4*5\/(-30)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5 - -14. Suppose 37*h = 39*h - 4. Calculate the least common multiple of a and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 4*d - 176. Let t(r) be the second derivative of 5*r**3\/6 - 5777*r. Determine t(x(p)).\nAnswer: 20*p - 880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0.3, -0.09, -0.1, 1.3.\nAnswer: -5, -0.1, -0.09, 0.3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 44808 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve t**5\/6 - 103*t**4 - 619*t**3\/6 = 0 for t.\nAnswer: -1, 0, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:18 AM and 5:34 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 86 minus -58?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16 - -35) + -24 + 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 359 + -359.0483. Let t = u + -5.9517. Let k = 0.06 - -0.34. Which is the second smallest value? (a) t (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14863 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/2*(-2 - 6). Let j = -646 - -646.2. What is the nearest to 1 in j, 2.2, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/10220 and 59\/10220.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes before 9:55 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*5*(310\/20)\/31.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 405 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/60)\/((108\/8)\/9)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 35993300 rounded to the nearest one hundred thousand?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -98107, -196220, -294333, -392446?\nAnswer: -490559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 95 = -3*q, 4*q = -4*y + 44 + 24. Calculate the common denominator of -8\/5 and ((-92)\/(-69))\/(y\/21).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.53905 millilitres in litres?\nAnswer: 0.00453905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 106 by 1.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from usujsujj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13\/214 - 1453\/25680. Let w(z) be the third derivative of 1\/48*z**4 + 0 + t*z**5 - 1\/160*z**6 + 0*z + 0*z**3 - 9*z**2. Suppose w(k) = 0. Calculate k.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3300)\/17325)\/((-2)\/126)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 6800 + 3268 = 10068*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 5, k: 13}. What is prob of picking 4 k?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -11027 at most -21825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.5 + 0. Let f = 0.02969 + 0.07031. Put 9, f, k in increasing order.\nAnswer: k, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -738, -2787, -6156, -10845?\n\"Answer: -660*u**2 - 69*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -20306*c*m*u**2 + 3*c*m*u - 115*c*m + 155962*m*u - u**2 - 1 wrt c?\nAnswer: -20306*m*u**2 + 3*m*u - 115*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2121101 (base 4) to base 12\nAnswer: -5815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -29563280 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -83457 or -83460?\nAnswer: -83460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-13)\/6 + 2)*-3. Let v = -9 + 5. Let o = 20 + -18. Which is the smallest value? (a) v (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2117491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + 4. Let z = o - 1. Suppose 0 = 2*q - v - 24, -4*q + 3*v + 20 = -2*q. Calculate the remainder when q is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**2 + 6*k + 4. What is u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**3 - 5*z**2 - 9*z + 12. Let p be g(6). Let m be 6\/3 - (-36)\/(-4). Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 15*j + 2. Let t be r(4). Calculate the highest common factor of t and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and -2\/30547 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes after 3:21 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.2 + -0.8. Let f = 5 + y. Sort f, -2, 3 in ascending order.\nAnswer: -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5124 + -5113. Solve -v*m + 4 = -2*k - 14*m, k = 3*m - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 + 1 - -7) + (3418 - 3423).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 134, 302, 474, 650, 830, 1014, 1202?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*q + 125*q - 41*q + 23 = 111. Factor 4\/7*v**3 + 288\/7*v - 128\/7 - 66\/7*v**q.\nAnswer: 2*(v - 8)**2*(2*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (96\/60)\/(4\/10). Suppose r - 5*f - 30 = -r, u*r - 90 = -5*f. Solve -r = -6*z + z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 904 is divided by 233.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -134583*t*x**3 - 1078*t*x**2 - 312826350*x**3 wrt t?\nAnswer: -134583*x**3 - 1078*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (-351)\/(-234) - ((-1)\/2 + 0) and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k = j + 7, k - 4*k = -7*j + 27 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -3*c**3 + 12*c**2 + 43*c + 12. Calculate b(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(280)\/(sqrt(55)\/(sqrt(11) + sqrt(55)\/sqrt(5))))\/(3*((sqrt(63)\/sqrt(3))\/sqrt(3) - (sqrt(14)\/sqrt(2) + sqrt(7))*-4)).\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -36 divided by 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 72310, 0.49, -4?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + 24. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3, -9, -15, -21?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 27*k + 5. Let c(g) = 27*g + 4. Suppose -21 = -2*b - 9. Let r(u) = b*c(u) - 5*f(u). Let p be r(-7). What is p rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*t**3 + 52*t**3 - 32*t**3 - 13*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(196)\/sqrt(4)*3)\/(2*sqrt(1008)) - (sqrt(140)*2)\/sqrt(180).\nAnswer: -13*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -74*r**3 - 5*r - 303 wrt r.\nAnswer: -222*r**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.953 - 0.047. What is the third biggest value in 7, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 816715 plus -0.988?\nAnswer: 816714.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 64 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uujjnkkkkkknukjk. What is prob of sequence jj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4637 = -3*b - 4631. Let d = -2 - -5. Let s(u) = b + 0*u - 5*u - d. Calculate s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -140, -2 in decreasing order.\nAnswer: -1\/5, -2, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(-2))**(-34)*(m**5*m)\/m**(4\/7))\/((m**(-8)\/m*(m**(4\/7)\/m)\/m)\/(m\/(m*m**(6\/7))*m*m\/(m\/(((m*m**(2\/25))\/m)\/m)))) assuming m is positive.\nAnswer: m**(1227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -148 - -471. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 4795*i**2 + 218*i + 87. Let g be p(51). What is g rounded to the nearest 100000?\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -770 + 774. Suppose -4*h + 5 = 4*d - 3, 0 = -3*d + 4*h - 8. Suppose d = 2*l - l - 4. Solve -x = -o + x + 8, -4*x - c = l*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 + -12 - (3 - 19)) + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*b**3*p**2 + 2*b**3 + 326*b**2*p**2 + 289*b*p**2 wrt b?\nAnswer: -24*b*p**2 + 12*b + 652*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-2\/29)*g**6)\/(g**(-4)*g**(-2)))**(-1\/57) assuming g is positive.\nAnswer: g**(-346\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 176751 and 14473.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3, 10, -1\/5.\nAnswer: -3, -1\/5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/(-10)*(-11 + -4). Suppose a*s = s + 15. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 4*t + 4 = 0, 5*z - 5*t = -0*z - 5. Suppose 0 = 21*y + 106 - 43. Which is the closest to z? (a) y (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 6 = 5. Let d(m) = m**2 - 12*m + 13. Let y be d(c). Suppose -y*h + 5*t = -31, -2*h - h = -t - 53. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 27*u + 24*u - 71*u + 23*u - 238 + 75 as d*u + o and give o.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**2 - 2*n - 4. Suppose -24 = 2*f + 2*f. Suppose -140*d + 143 = 3*d. Let q(z) = -1. Determine d*i(r) + f*q(r).\nAnswer: r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6 - 0\/(-8))*-1. Let p(q) = q**2 - 4*q + 6. Let j be p(3). What is the closest to 1\/4 in j, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 9:25 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3110382 is divided by 75.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 323*f - 116 = 321*f. Find the first derivative of 9*v + f + 2*v + 41*v wrt v.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 94 - 34. Suppose 4*z + 49 = v, -99 = 5*v + 4*z - 320. What is the remainder when v is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - 22. Calculate the smallest common multiple of 56\/6 - d\/39 and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 6, o: 13}. Give prob of sequence uuo.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 4*q = -14, -5*j + 0 = -5*q - 20. Suppose 7 = -4*p + 3. Let f = p + j. Solve f = c + 2*v + 13, -6*v = -c - 2*v + 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 24262, 24234, 24212, 24208, 24234, 24302, 24424?\n\"Answer: 2*r**3 - 9*r**2 - 15*r + 24284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 102740129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -19*t - 27. Let o(l) = -l + 5. Calculate 6*o(m) + x(m).\nAnswer: -25*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nfaa when four letters picked without replacement from {f: 4, a: 1, t: 1, n: 2, q: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-248)*2)\/(-20*(-249)\/(-6640)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r. Let a be h(-4). What is the tens digit of 0\/(-1 + a) - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**3 + 25*x**2 + 6. Let c be p(25). Let q(t) = t**2 - 5*t. Let s be q(5). Let u(f) = -1 - 1 - f**2 + 7 + 7*f + s. Calculate u(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 25*v + 229. Let s be y(-9). Find d, given that 1\/2*d**2 + 1\/2*d + 0 - 1\/2*d**3 - 1\/2*d**s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z - 4*z + z - 78 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1 times -0.6172\nAnswer: 0.6172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.05 - 0.55. Let w = 0.319 + 0.071. Let f = -0.01 - w. Which is the third smallest value? (a) f (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -4*c. Let a(y) = 586*y - 299*y - 288*y - 60. What is u(a(x))?\nAnswer: 4*x + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeleepgeggeebpeeeg. What is prob of sequence lb?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*p**2 - p + 6*p**3 - 7*p - p + 8*p to the form a + u*p**2 + b*p + t*p**3 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -8*l + 3*l + 8*l - 5*l. Let f(v) = -13*v**2. Give f(s(b)).\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*u - u - 104172 + 19470 = 0. Is 64 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 10*q - 79. What is a(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17*t**4 - 304*t**5 + 17*t**4)*(-2 - 4 + 1).\nAnswer: 1520*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o - 1. Let i(x) = 60*x + 12. Calculate -i(d) - 12*r(d).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 850000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2949 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/(-12) - (-1)\/(-36). Let c be ((-6)\/(-4))\/(9\/(-12)). Let h be c*1 + (-6)\/3. What is the second biggest value in l, -2\/9, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*w**4 + 21*w**4 + 5*w**4 + (2*w**3 - w + w)*(-2*w - w + w) - 7*w**4 + w**4 - 11*w**4 as p*w + d*w**3 + t*w**4 + c + m*w**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (3 - (0 + 4 - 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.64 + -0.36. Which is the closest to m? (a) 0 (b) -4\/5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 - 156d87?\nAnswer: -156d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -3.7457*1061\nAnswer: -3974.1877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from vwwvwwvvvvwvvvgwwwg?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the second derivative of 1\/42*o**4 + 0 + 1\/21*o**3 - 2\/7*o**2 - 2*o. Factor w(y).\nAnswer: 2*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, 0.18, 2\/3, 835?\nAnswer: 835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 3*a - 50. Let r(m) = -11*m + 124. Let j(n) = -5*f(n) - 2*r(n). Let p be (-5)\/(-10) - 7\/(-2). Suppose 5*w = -4*o + 26, -o - o = -p*w. What is j(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 146032, 292059, 438082, 584101, 730116, 876127, 1022134?\n\"Answer: -2*w**2 + 146033*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 6 - 0. Let j = 126 + -123. Factor r**j - 1 + r**2 + 2*r - z*r - r.\nAnswer: (r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1222466 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2126 = 5*o - d, -o + 422 = -d - 4. What are the prime factors of o?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvttmmmtevxtts. What is prob of picking 1 s and 1 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 135\/4, -0.4, 9 in increasing order.\nAnswer: -0.4, 9, 135\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*j = 42*j + 219. Let h(w) be the second derivative of w**4\/12 + 5*w**3\/6 + w**2 + 8*w. Determine h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvpp when four letters picked without replacement from {p: 11, v: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 40 + -35. Let g = 3.997536 - -0.002464. Let w = 1 - 0. What is the closest to w in g, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -134 + 5*k**2 - 8*k**2 + 4*k**2 as q*k**2 + d*k + w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -6*q + 13. Let z be o(2). Suppose -k + y = 2*k + 11, -k + y = 7. Let g be z*(-8)\/(-4 - k). Solve b = g*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -106153214 (base 7) to base 9.\nAnswer: -13207178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 4*s + 7. Let p(l) = -l + 1. Suppose 6*h + 10 = h - 3*n, -18 = -3*h + 3*n. Let q(j) = 4*j - 6. Let b(k) = h*q(k) + 5*p(k). Calculate -6*b(f) - r(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the third derivative of t**9\/60480 + t**8\/10080 - t**5\/30 - 2*t**2. Let r(n) be the third derivative of l(n). Determine r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/16)\/((-3)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1382.24551353 from -0.511.\nAnswer: -1382.75651353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**2 + 5*m - 1. Let l be a(4). Suppose -4*c + l*r = 4*r, c = r. Suppose -o - 2*f = 11, -4*o - 5 = -9*o + 2*f. Does c = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -5*k**3 + 19*k**2 + 6*k - 21. Let t(a) = -a**2 + a - 1. Let u(h) = -b(h) + t(h). Factor u(p).\nAnswer: 5*(p - 4)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n - 25. Let p(l) = 64*l**2 + 2*l. What is p(u(y))?\nAnswer: 64*y**2 + 3198*y + 39950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 4*o + 36 = 0, 3*o + 7 = -2 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*s**3 + 2*s**3 + 10*s - 3*s.\nAnswer: 4*s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 336088725 to the nearest integer?\nAnswer: 18333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, 4, -5\/98, -3, -2 in decreasing order.\nAnswer: 4, -5\/98, -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 12*w**2 - 19*w**2 + 6*w**2 + 9*w**2 in the form f*w**2 + l*w + d and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/61 < 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s - 4. Let y = -2 - 2. Let d = 5 - y. What are the prime factors of m(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, -1 in decreasing order.\nAnswer: 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3289595 is divided by 100.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 + -1840?\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-6)\/(-27))\/((6\/(-27))\/((-4)\/13)). Factor f*g**2 - 2\/13*g**4 - 2\/13*g**5 + 4\/13*g**3 - 2\/13 - 2\/13*g.\nAnswer: -2*(g - 1)**2*(g + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 0, -5, -0.15, 8510 in increasing order.\nAnswer: -5, -0.15, -0.1, 0, 8510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -158, -57, -2 in increasing order.\nAnswer: -158, -57, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 2*z**3 + 3*z**2 + 2*z + 4. Let x be v(-4). Let r = x - -33. Let y be (-4)\/10 + r\/(-15). Solve 1 + 2 = -y*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*a**2*o**3 - 42*a**2*o**2 - 4*a**2*o + 264*a**2 - 7*a*o**3 + 43*o**3 - 12*o**2 wrt a.\nAnswer: 4*o**3 - 84*o**2 - 8*o + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -1228314*h - 11054856. Determine v(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**2 + 18*c - 171. Let t be o(7). Solve -40*p + 41*p + 2*u = 5, 0 = p + t*u - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -19*0.07\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w**1\/w*w)*(w**11\/w)\/w)**(-2\/43) assuming w is positive.\nAnswer: w**(-18\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oim when three letters picked without replacement from {i: 1, o: 1, z: 4, d: 3, m: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -4*q**3\/7 + 6984*q**2\/7 = 0.\nAnswer: 0, 1746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2489 at least as big as 2489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -175280132103 - 0.3.\nAnswer: -175280132103.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = t - 3*u + 13, 5*u = -4*t - 28. Which is greater: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000973016 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 5, l: 5, w: 1}. Give prob of picking 1 w and 1 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-3*(-2*((sqrt(700) - (2 + -2*sqrt(700))) + sqrt(700) + (0 + sqrt(700))*3) + 2))**2.\nAnswer: -15120*sqrt(7) + 1235124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69045311*s**3 + s**2 - s**2 - 69045273*s**3.\nAnswer: 38*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11.1 + 11.65. Let x = l + -0.05. Which is the closest to 2\/7? (a) x (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2aa + -1?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Total of -20228.115 and 1157.\nAnswer: -19071.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -25a66a + -21?\nAnswer: -25a690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - 2) + (-398 - -427).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 3*j**3 + 3*j**2 + 2. Let f(t) = -3*t**3 - 3*t**2 - 3. What is 2*f(d) + 3*s(d)?\nAnswer: 3*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 196983 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2625 is divided by 2558?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 22 and 33187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -19, 17, 3 in increasing order.\nAnswer: -19, -4, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = 5*a - 54, -3*b + 8607 = -3*a. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-20))\/(((-3819)\/2546)\/((-4)\/18))?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -2 + 40 + 1 - (-16 + 16) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2804*i - 3121*i + 317 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4817 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 551304.\nAnswer: 2, 3, 13, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -70574045, -70574044, -70574043, -70574042, -70574041, -70574040?\n\"Answer: x - 70574046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 n, and 1 a when three letters picked without replacement from arhngtan?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -2039*k**3 + 3*k**2 + 3*k + 1. Is z(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 107536+-1.05\nAnswer: 107534.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 332*b + 335*b = -49, -34 = -4*q - 2*b. Solve z = 3*v + 3, 5*z + 7 = -v - q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 64 and 19504.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 78628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -2 + 0 + (-12 - -17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -440 - -452. Let i be ((-3)\/v*0)\/2. Sort 66, 1, i.\nAnswer: i, 1, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 - 4*x**2 + 5*x + 5. Let b be y(-4). Let j be (-1 - -7)\/(b\/(-10)). Is (2\/j)\/(3\/894) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-609)\/(-63))\/29)\/(8\/6*(-4)\/(-2)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Is 13559509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z - 4. Let r be k(3). What is the units digit of (r\/6 - 0)*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - (-2 + 2)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -68, -75, -96, -137, -204, -303, -440?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5*t**2 + 2\/15*t - 16\/3*t**3 + 0.\nAnswer: -2*t*(5*t + 1)*(8*t - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 98510920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 27 - 23. Let 24*o**4 - 32*o**4 + w*o**3 - 12*o**3 - 2*o**5 = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 21869 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -44 (b) 2\/5 (c) 22 (d) -2 (e) -0.2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -669 (base 15) to base 13.\nAnswer: -876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(80)*1*2*3*3 + (sqrt(80) + 4 + sqrt(80) + 0 - (-3 + (-1 + sqrt(80) - sqrt(80)) - sqrt(80))))**2.\nAnswer: 1344*sqrt(5) + 35347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s = 35 - 14. Let h = 6.02 - 6. Let w = -0.08 - h. Which is the third biggest value? (a) w (b) s (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.07824 times -16486\nAnswer: -1289.86464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 366 is divided by 63.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -6, 0 in decreasing order.\nAnswer: 14, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -5*w + 45. Suppose -2*i + 0*i + 44 = h, -2*i + 28 = -3*h. Let g be v(i). Round g to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -482019*n. Let r(m) = -2*m**2. What is a(r(w))?\nAnswer: 964038*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*w + 6 + 24. Let g = 260 + -255. Suppose 0 = u + 2*u - 12. Solve -g*x = k - 10*x - 6, -u*x + 4 = -w*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 35 in 3\/2, -2\/25, 4\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 10, -2, 1.6, 2\/7?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13720, -27649, -41580, -55513, -69448?\nAnswer: -83385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -19386*b**3*i*m**2 - b**3*m - 2*b**3 + 2*b**2*i*m**2 + 2*i*m**2 - 5297*i*m wrt m?\nAnswer: -38772*b**3*i + 4*b**2*i + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, r: 2, t: 2, q: 2, c: 3}. Give prob of picking 2 t.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-3\/7))**(-32))**7*(h*h**(-2\/7))**(-10)\/(h**(4\/3)*h*h**9*h) assuming h is positive.\nAnswer: h**(1607\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w = -42 - 7. Let f(g) = -11 + 5*g**2 + 0 - 6*g - 3*g. Let r(b) = 3*b**2 - 5*b - 6. Calculate w*r(d) + 4*f(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 - 10*s + 10. Let j(r) = 4*r**2 + 24*r - 32. Let d(b) = 3*j(b) + 10*z(b). Give d(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (o**2 - 2*o**2 + 0*o**2)*(1743*o - 1517*o - 4951*o).\nAnswer: 4725*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 13 and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y = 5*q - 0 + 1, 0 = 5*y + 2*q + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (162\/(-12))\/((-3)\/6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 7, 13, 21, 31, 43?\n\"Answer: l**2 + 3*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*r - 8771 - 8841 + 17612.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 340 and 2120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 66 + p - 205 + 68 + 3*p + 66. Let q(o) = 4*o. Determine s(q(l)).\nAnswer: 16*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q. Let g = -2 + 13. Suppose 4*i + 0*t = t + g, -10 = -2*i + 2*t. Let x(v) = 0 - 4*v - 1 + 0*v. Determine i*x(j) + 6*s(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kjk when three letters picked without replacement from {k: 4, j: 4, f: 1, m: 2, e: 3, i: 6}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000318896 rounded to 7 dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 31521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -28 + 57 - 8 - 2*z to the form w + p*z and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -17*r**4 + 3*r**3 - 3*r**2 + 18*r + 3. Let b(o) = o**4 - o**3 + o**2 - 1. Let p(f) = 3*b(f) + n(f). What is the second derivative of p(h) wrt h?\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (-3 + 4 + -6 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + 1082*f - 331. Calculate u(0).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 368280 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 4035813 = 5*n, -4*r - 3*n + 2346023 = -5725564. Suppose 0 = -5*x - 2*a + 16499996, -x + a + 5317901 - r = 0. Round x to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -364 = -20*u + 32*u + 16*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of l**3\/3 + 5*l**2\/2 - l. Suppose 7*z = 15*z + 14*z - 154. Let m(d) = -2*d - 5. Calculate z*m(q) + 6*w(q).\nAnswer: -2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.16 in 21, -1\/4, -2, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -127478 divided by -162\nAnswer: 63739\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -287, -320, -381, -476, -611, -792, -1025, -1316?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 12:19 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -185.39 + 2.39. Let s = -182.9893 - f. Round s to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 2 = 17. Suppose -3*z = 3*m - 1035, 3*z - g*m = -2*m + 1019. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -25*g. Let l(d) = 13*d. Determine l(s(f)).\nAnswer: -325*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u + 3*u + 2*u + (131*u - 10*u - 14*u)*(3 + 4 - 3).\nAnswer: 431*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 256 + -259. Which is the second smallest value? (a) 4 (b) 0.9 (c) x (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126 minutes before 2:42 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2244881288?\nAnswer: 2, 13, 21585397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 + (-10 - -17))\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 11968*a**2 - 14*a - 25460. Let j(m) = -3990*m**2 + 4*m + 8487. Let h(f) = -2*i(f) - 7*j(f). What is the derivative of h(v) wrt v?\nAnswer: 7988*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (120\/(-1))\/(60\/(-90))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 63246.859705 + -63246. Let q = 3.29 - 4.15. Let f = d + q. What is f rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1120 - 2300203?\nAnswer: -2233023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0077718 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17933*z + 17933*z - 114*z**3.\nAnswer: -114*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zih when three letters picked without replacement from ihz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/((-15)\/(-5)) - (11 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 - 2)*(-6*c - c + 3*c)*(-3 + 2 + 2)*(-1 + 0 + 2).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s + 47. What is c(56)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 10 - 7 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 31 + -7 + (9 + -5 + -2 - 3)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -4261167, -4261169, -4261173, -4261179, -4261187, -4261197?\n\"Answer: -x**2 + x - 4261167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r - 5*r - 12*r - 7*r.\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-37)\/(592\/36))\/((-285)\/20)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -5*n**2 + 8*n**2 - 10*n**2 + n**2. Let h(r) = 14903*r - 7455*r - 7444*r. Give h(v(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -77847, -153049, -228251, -303453, -378655?\n\"Answer: -75202*d - 2645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 0*x - 2*x + 2 + 9 as p*x + b and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.2 + -1. Let j be (-4 - (1 - (3 + 2)))\/2. Let g be -4 + 1 + j + (-45)\/(-27). Is m bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -599 at most as big as -10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*j = -h - 192, 2223 - 2155 = 4*j - 4*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 761340 is divided by 3769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45 + 195 = 12*f. Solve -14*p + 18*p + f = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 106 divided by 1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -5 + 663 - ((0 - -8) + -4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the first derivative of -6*f + 5\/2*f**2 + 69\/4*f**4 + 0*f**3 - 78. What is the second derivative of k(a) wrt a?\nAnswer: 414*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 - 2)*1 + 1. Suppose 3*h - 3*o - 27 = -n*o, -o = 5*h - 21. Suppose -h*c = -49 - 6. What is the remainder when 31 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(10)\/(sqrt(24)\/(sqrt(72)\/sqrt(6))) + -5.\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sssmdalssl. Give prob of sequence dam.\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 20 = 0, 4*s + s = -h + 634. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(171)\/(6*sqrt(36)) - (sqrt(76)*-5 - (sqrt(304) - (-1 + sqrt(304)))**2).\nAnswer: 1 + 121*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -165694254195 - -3?\nAnswer: -165694254192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3954 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*n + 5*n = -21. Suppose -4 - 4 = 4*s - 2*q, -n*s = -5*q - 8. Which is the nearest to -10? (a) s (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2 and 3011966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(-5\/8)\/t)**1)**(-7))**47 assuming t is positive.\nAnswer: t**(4277\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/14 - 96\/56. Sort 0.3, -4, t, -3.\nAnswer: -4, -3, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*l - 370 = -1648. Let p = -431\/3 + l. Which is the third smallest value? (a) p (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-9)\/v**(-19)*(v*v**(-4\/3))**(24\/13) assuming v is positive.\nAnswer: v**(122\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = p - 2, -4*r + 21576 = -2*p. List the prime factors of r.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-72)\/(-3060))\/(((-171)\/(-45))\/(-19)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2731, 9727, 21559, 38233, 59755, 86131, 117367?\nAnswer: 153469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (-5 - (-2 + 4))) + -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/3*(-412)\/(-8). Let v = 102 + s. What is the common denominator of (v*(-1)\/(-4))\/((-12)\/33) and 65\/116?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 25829 - 9360 = -w, -3*w - d + 105585 = 0. List the prime factors of w.\nAnswer: 2, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1111010110110 (base 2) to base 5.\nAnswer: -222422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 26 and 1420874.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 435 and 696?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1304, 1926, 1242, -1402, -6660?\n\"Answer: -109*w**3 + w**2 + 1382*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, -3595028, 3 in increasing order.\nAnswer: -3595028, -11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iaiaaaaiiiaaa.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 394 - 121. What is the highest common divisor of 63 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 90 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 89 = 12*j - 295. Let x be ((-3)\/(-8)*-2)\/(j\/(-128)). Is -8 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, -3\/7, 3\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0\/2 + 0 + 4. Suppose -b*g = -4*t + 168, -5*t + 2*g + 206 = g. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 4 = -b + v, 0 = -3*b + 5*v + 44. Suppose y + b = -3*y. What are the prime factors of 6\/18 - -257*y\/(-6)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/((-378)\/237) - (-4)\/14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/8 + 140\/(-120). Which is the third biggest value? (a) 0.4 (b) -51 (c) n (d) -2\/5 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3338 or 3334?\nAnswer: 3338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 31*w**2 - 51*w**2 + 24*w**2 + w - 2*w**3 as g*w + a*w**3 + l*w**2 + v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 513733745?\nAnswer: 513733739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 11*u**2 + 37 - 6*u**2 - 3*u**2 + 17*u. Let z be g(-5). Let t(q) = -4*q**2 - 4*q + 3. Give t(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1452)\/66 - 16 - -115\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**3 - 5*r**2 - 8*r - 6. What is the smallest common multiple of 466 and j(-4)?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -975 - -2956. Suppose 0 = 3*x + 12, -k - 2*k + u = 5*x. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from krsrsls. Give prob of sequence rsrl.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, -2, 0, 4, 5 in ascending order.\nAnswer: -10, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d = -3*c + 17, 3*d + c - 3 = 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (1\/3)\/(373\/(-4476))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g - 4. Let v(l) = -l + 3. Let z(i) = -3*d(i) - 4*v(i). Let c(x) be the second derivative of 25*x**4\/12 - 109*x. Determine c(z(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (201 - 33 - 18)*(106*o - 14*o - 55*o)*(3*o**2 + 0*o**2 - 4*o**2) in the form g + w*o**3 + h*o**2 + i*o and give w.\nAnswer: -5550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 161 a factor of 54341340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 5 = c, -4*c + l = 5 - 0. Suppose 2*i - 3*i + 5*s + 23 = 0, -5*s - 20 = c. Suppose 6*g - 30 = i*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**12\/((z\/(z\/(z*z\/(((z**(2\/35)*z)\/z)\/z)*z*z*z)))\/z*z) assuming z is positive.\nAnswer: z**(212\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -12*x**3 + 7*x**2 + 7*x + 169. Let l(y) = -10*y**3 + 6*y**2 + 6*y + 169. What is 7*l(n) - 6*o(n)?\nAnswer: 2*n**3 + 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + (-58 - (-19 - -4 - -32)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1207, -9387, -31545, -74671, -145755, -251787?\n\"Answer: -1165*j**3 + j**2 - 28*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i**(2\/17)*i)**(-35))**43)**27)**(-10\/13) assuming i is positive.\nAnswer: i**(7720650\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 143, -71, 2 in decreasing order.\nAnswer: 143, 3, 2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -160*b + 371 = -153*b. Solve -b = 9*a - 26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 + 11 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000013390194917 rounded to seven decimal places?\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1479, -1692, -1897, -2094, -2283?\n\"Answer: 4*r**2 - 225*r - 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**2. Let l = -5462 + 3135. Let i(u) = -67125*u. Let r(v) = 173*v. Let d(h) = l*r(h) - 6*i(h). Give d(m(o)).\nAnswer: -179*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**0)**(-3\/8)\/(((g\/(g*g\/(g\/(g\/(g*g*g**(-2)\/g*g)))))\/g*g)\/g*g**2) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -2223, -2336, -2449, -2562?\n\"Answer: -113*n - 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 4 - 3 - 22*b**2 + 2*b + 26*b**2. Let l be u(-1). Suppose 4*w + w = k + 85, l*w + 2*k = 38. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 202 and 1312.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes before 4:35 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/(2\/(-3*398)). Let j = 3029\/5 - n. Calculate the common denominator of 53\/4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:14 PM and 3:03 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*c**2 - 7*c**3 + 133 - 2*c**4 + c - 10*c**2 - 414 + 140 + 139 to the form g*c**4 + y + x*c + s*c**3 + t*c**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -381231 and -0.2?\nAnswer: 381230.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -o - 2*d + 3 + 3, o - 11 = -3*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 5 = -0*s - 5*c, 0 = -2*s - 2*c + 6. Suppose -4*i = -3*i. Solve o = -i*o + s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -41, -85, -129, -173?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11212 + 2220?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/10 - 1202\/3005. Let l(h) be the first derivative of 0*h**2 + y*h**4 + 36*h + 0*h**3 + 34\/5*h**5 - 13. What is the derivative of l(c) wrt c?\nAnswer: 136*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10867 + -65207\/6. Is p bigger than 895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 - 26*q**2 + 18*q - 43. What is the remainder when z(-27) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * -0.3497081\nAnswer: 0.03497081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 13*k**2 + 2 - 46*k + 46*k + 2*k**2 + 0*k**2 + 4*k**2 - 6*k**2 + 6*k**2 + 7*k**2 + (-2*k + 0*k + 0*k)*(3*k - 3*k + 2*k).\nAnswer: 22*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010001111101000100 - -101000?\nAnswer: 10010001111101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (168\/(-30))\/(-7) + (-22)\/(-10). Let i = 5 - 5. Suppose 0 = -i*o - 3*o + 6. Solve x*v + o*v = 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 4*w**2 - 9*w - 15. Suppose -5*g - 14 = 4*c + 7, -3*c = -g + 11. Is q(c) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 1. Let x(y) = -2*y + 5. Let r(u) = -x(u) + 6*z(u). Calculate r(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/1420 (b) 2\/5 (c) 7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1.167 times 5?\nAnswer: -5.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 + -7. Let h(a) = a**3 + 4*a**2 + 3*a - 2. Suppose 0 = 2*l - 1 + 7. Let b be h(l). Are z and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -3*v**2 - 650*v + 4579. Give p(7).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 o when three letters picked without replacement from qqqqoqooooqo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - ((-40)\/22)\/(-9 - (1116\/(-132) + 0)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 33 = -2. Let f = o - -22. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -162, -321, -484, -651, -822?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2744 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h**2 - 27*h + 61. Calculate the remainder when 198 is divided by w(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4867582.8 to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**2 - 9*x + 4. Let s be h(-9). Suppose -140 = -s*j - j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**0*s**(-1\/28)*s)\/(s*(s*s**(-9)*s)\/s)**5 assuming s is positive.\nAnswer: s**(1007\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -320242422 (base 5) to base 4.\nAnswer: -11012132111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*i**3 + 827*i - 845*i - 12*i**3.\nAnswer: -31*i**3 - 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 210, 435, 666, 903?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.61 + 0.354. Let u = o + 0.479. Round u to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = 14 - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 3 (b) 5 (c) -4 (d) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1045 + 4715. Suppose 0 = -14*n + 2*n + k. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*o - 1 + 1)*(-4*o - 42 + o + 2*o) in the form h*o**2 + c + d*o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 8111263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 45062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4.83 (b) -0.253 (c) -7\/6 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76) + (-1*(1*sqrt(76) - sqrt(76)) - sqrt(76) - sqrt(76)))*4*3)\/((sqrt(72)\/(sqrt(36) - sqrt(9)))\/(1*sqrt(2)*2)).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 130 + -105. Let k = h - 25.02. What is the nearest to k in 4\/7, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 u when three letters picked without replacement from {s: 3, z: 2, u: 4, e: 2, r: 7}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -24460.02 times 96\nAnswer: -2348161.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -59 - 0.357?\nAnswer: -59.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2488.97074 and 0.1?\nAnswer: -248.897074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 75*b + 243 - 103 - 65 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add 1.46 and 4.4.\nAnswer: 5.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**2 - 5*b + 22. Let c be a(7). Suppose 18*d = 17*d + c. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 52 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -36 + 38. Solve o = -u - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -53*g. Let j(m) = -3121*m**2 + 3119*m**2 + 3 - 3. What is j(x(f))?\nAnswer: -5618*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-7)\/2)\/(3855\/514))\/(((-4)\/(-6))\/2)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -257852, -257898, -257976, -258086, -258228, -258402, -258608?\n\"Answer: -16*f**2 + 2*f - 257838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4422 - 4422.4. Let b = -10.8 - -10.9. Let k = -0.2 + 0.7. What is the nearest to b in t, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + 2, -5*z + k + 20938 = -19449. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9383 is divided by 371.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h - 4*w + 16, 3*h - w = -0*w - 4. Determine n so that 0 - 1\/5*n + 1\/5*n**3 + h*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20720.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72866.\nAnswer: 2, 36433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -2*r**2 + r + 1. Let u(w) = -w**2 + w + 1. What is -2*p(a) + 2*u(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 44179, 44183, 44187, 44191?\nAnswer: 44195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 8\/(-6) - (1 + -2). Let t = 15 - 19. Which is the nearest to i? (a) t (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 5*x - 17, 0*r - 2*r - 5*x + 41 = 0. Let w = 8 - r. Suppose 0 = n - w*n + 5. Sort 2, 4, n in decreasing order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 12 + 1 = 3*m, -4*p - m = 6. Is 11 a factor of (p*2)\/((-4)\/62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 140*l - 3182. Calculate w(27).\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -2\/13, 0.1 in ascending order.\nAnswer: -4, -2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 24321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**2 - 8*o - 529. Let h be r(-20). Solve -6*m - 5*p - h = -4*m, -2*m + 5*p = -19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*d**3\/5 - 528*d**2\/5 + 7992*d - 151264\/5 = 0. What is d?\nAnswer: -326, 4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 41, -2, -1\/7, -8\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1\/5))**12\/(d*d**(-14))**(-3\/4))**(-50) assuming d is positive.\nAnswer: d**(1215\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**3 - 7*z**2 - z + 7. Let x be a(6). Let y = -32 - x. Suppose -y*h + 228 = -h. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -m = -12*j + 14*j + 6, 4*j = 4*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -44 + 67. Let n(t) = -t**3 + 6*t**2 - t + 6. Let o be n(0). Suppose -o*q + i = -5*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4 and (-5 - 55)\/(-5) - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 2*y - 10. Let b(a) = -2*a**3 + 14*a**2 - 9*a - 12. Let i be b(6). What is k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (34 - 3) + 2 + -5. Let z = u + -19. Suppose z = 5*r - 4*s - 53, -4*r + 3*s = -50. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -20, -40, -60, -80, -100, -120?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**2 - 6*d - 5. Let j be z(-5). Suppose j*f + 49 = 5*f + 4*p, 0 = p - 1. Suppose c + 4 - f = 0. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -979*p**5 + 477*p**2 - p + 2 wrt p?\nAnswer: -58740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 3*d. Let x(k) = 3*k - 2. Let y(n) = 3*m(n) - 2*x(n). Let h(z) = -3*z - 4. Let t(i) = 5*h(i) + 4*y(i). Give t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1d131897 + -2?\nAnswer: -1d131899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*h + 37*h - 89899 - 300897 = 0. What is h rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + 5*w**4 - 1 + (2*w + w - 5*w)*(-19 + 2*w + 39 - 22)*(2 - 4 + 4)*(0 - w**2 + 0).\nAnswer: 13*w**4 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 14*g + 1458. Give a(-112).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15 - 20. Let w be ((-2)\/x)\/(7\/35). Suppose 26400 = 4*v - w*v. What is v rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 196.8434346 rounded to 1 decimal place?\nAnswer: 196.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1827485.3900255 - 1827601.39. Let o = -116 - x. What is o rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence povn when four letters picked without replacement from pznjnov.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1640\/7 - 234. Let t be 2\/6 + 13\/(-21). Which is the closest to -2\/9? (a) -0.4 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**3 - 8*u**2 - u + 9. Let w(d) = d**3 - 13*d**2 + 14*d - 2. Let c be w(12). Let f = -14 + c. Let m be a(f). Which is smaller: 1\/59 or m?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-12524)\/186 + (-3)\/(-9) + 14\/2. Sort 0.1, -2\/13, j in descending order.\nAnswer: 0.1, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3688 - -11094. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17.168 + -0.168. Let r = -7023\/2 + 3514. Which is the third biggest value? (a) r (b) l (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**3 + 5*h**2 - 3*h - 4. Let k(a) = a**2 + 10*a - 15. Let b(u) = 4*u + 5. Let t be b(-4). Let p be k(t). Let s = p + 8. What is j(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2 + 162\/(-4) + -2 and -2 - (6 + (0 - 520\/56)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10.269 - -0.269. What is the closest to -2 in -0.1, i, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**3 - 63*g**2 - 344*g - 16. What is y(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = 2*k + 2*q + 5091, 2*q + 5094 = -2*k. Let f = k - -10263\/4. Let c = -226733\/22302 - 2\/11151. What is the common denominator of f and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1502794515 divided by -5\nAnswer: 300558903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 + 5*l**2 + 2*l + 3. Let d = 83 + -83. Suppose 0 = 3*c - g - 14, d*c + g + 26 = 5*c. What is z(c)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.1 + -0.2. Let o = i - -0.7. What is the second smallest value in o, -5, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-89)\/(2\/8 - 57\/(-76)). Let g = 95 + u. Let i(m) = -4*m**2 - g*m**2 + 13*m**2. Let k(l) = -15*l**2. What is k(i(f))?\nAnswer: -135*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 648008312?\nAnswer: 2, 7, 17, 680681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {w: 2, f: 4, m: 3}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 3*y**2. Let m(i) = -1302*i**2 - 3*i - 2. Give m(p(c)).\nAnswer: -11718*c**4 - 9*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 167848*b**2 - 553*b + 236030946 wrt b?\nAnswer: 335696*b - 553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 25 - (19 - -14) - -20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1665 - 1663. Factor 2\/3 + 5*q**r + q**4 - 3*q - 11\/3*q**3.\nAnswer: (q - 1)**3*(3*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -106 (base 13) to base 7.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4834724899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.673*-0.260732\nAnswer: 0.175472636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes after 5:54 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 1649085, -27, 2 in descending order.\nAnswer: 1649085, 2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j - q + 5*q + 8, -5*j = -q - 2. Suppose x + 4 = -3*f, -4*f = -0*x - 5*x - 20. Solve -o + 3 + j = f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -15, 2270 in descending order.\nAnswer: 2270, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00328884535 rounded to 5 dps?\nAnswer: 0.00329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18878, 19092, 19682, 20840, 22758, 25628, 29642?\nAnswer: 34992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -19*m**4 - 64*m**3 - 41*m**2 + 11*m + 11. Let r(c) = -4*c**4 - 13*c**3 - 8*c**2 + 2*c + 2. Let w(l) = 11*r(l) - 2*t(l). Find z such that w(z) = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 51*r - 1302 + 1608. Suppose 0 = -6*n + 2*n - 48. Which is greater: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the second derivative of -2*f**7\/105 + 6*f**6\/25 + 21*f**5\/25 + 11*f**4\/15 - 12*f + 5. Determine d so that o(d) = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*g + g - g)*(-5*g**2 - 2*g**2 + 5*g**2) + 0*g**3 + g**3 + g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*d**2*g - 19*d**2*t**3 + 5*d*g - 16*d*t**3 wrt d?\nAnswer: 10*g - 38*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -210 (base 9) to base 2.\nAnswer: -10101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence www when three letters picked without replacement from yywwywyyyyw.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -5*p + 4*l, -3*l + 6 = 3*p - 3. Suppose 3*v + p*v - 2*u = 2, 2*v = -2*u - 12. What is the units digit of v\/3 + (-40)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10618 (base 9) in base 12?\nAnswer: -4108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*o + l, -488*o = -488*o + 4*l. Is o greater than or equal to -658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 - -170?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -19 - -9. Calculate the common denominator of n\/(-55) + 713\/(-110) and 77\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/1 + (-10)\/(-20)*-16. Let p be (1 + (2 - 3))\/(-1). Let l be p*(6\/s + 1). Let m(x) = x**2 - x - 8. Calculate m(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - 131?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**3 - 5*b**2 + 6*b - 5. Let f be k(4). Let o(y) = -y**3 + 12*y - 13*y**2 - y**3 - 4*y**f + 1 + 7*y**3. Let x be o(12). Solve 2*g = 3*g + x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, n: 2, t: 2}. Give prob of picking 1 i and 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (v**2 + v**2 + 0*v**2)*(2 - 2*v - 2) + 184*v**3 + 394*v**3 + 125*v**3.\nAnswer: 699*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -213*u - 156 = -226*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 983.8678 millilitres in litres?\nAnswer: 0.9838678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**2 - 36*i - 300. Give c(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*r + 50 = 40 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 223, 925, 2125, 3847, 6115, 8953?\nAnswer: 12385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 246442 divided by 406\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 64*s**5\/7 + 10591088*s**4 - 29125537*s**3 + 195770041*s**2\/7 - 76454589*s\/7 + 10425627\/7 = 0.\nAnswer: -1158403, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-36)\/l**31*(l\/((l*l*l**(-2\/13)*l)\/l)*l)**(-22) assuming l is positive.\nAnswer: l**(-915\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 - ((-43 - -65) + -28 + (1 - 82)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32\/(-48)*685\/(-137).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-5)*w)\/((w*(w*w\/(w*w**2)*w)\/w)\/w)*w*w**(4\/3)*w**(-1))\/((w**(3\/7)*w**(3\/5))\/(w**(-5\/4)\/(w**(-1\/4)\/w*w))) assuming w is positive.\nAnswer: w**(-388\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the second derivative of 0 + a + 0*a**2 + 0*a**3 - 1\/21*a**7 + 1\/3*a**4 + 0*a**6 + 0*a**5. Find the third derivative of m(p) wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the third derivative of c**6\/120 + c**5\/60 - 5*c**4\/24 + c**3\/2 - 60*c**2. Find h such that t(h) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 19\/51 + -12\/17. Let i = -106 - -94.1. Let m = i - -12. Which is the nearest to -0.1? (a) m (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/(-2 + 93\/42). Let n = 15 - d. What is the closest to 1 in n, -0.4, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 850878 by -3.\nAnswer: -283626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/5*(-40)\/(-60). Let z = -359\/1737 + -3\/193. Sort 0, z, 6, a in decreasing order.\nAnswer: 6, a, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -20*o**3 + 66*o**2 - 2306*o.\nAnswer: -120*o + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0 - (3 - 3))\/(-2). Is c < 2\/143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*p + 0*p + 15*p + 22 to x*p + f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 1385, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.05 * -280044.\nAnswer: 14002.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 37 = 2*u. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -164*u**2 + u**3 + 6*u**3 + 164*u**2.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14625 and 179837775.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48800 and 3600?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n = -25*x - 270, -n - 55 = -6*n - 2*n + 2*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*v - 6*v = 9. Suppose 3*b + 4*y = 18, -2*y + v*y - 3 = 0. Suppose 3*l = 4*l - b*p + 19908, p = 4. Round l to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from zcccddczcczdchhgd.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - (18\/10)\/(24\/104)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 23267, 23226, 23187, 23150?\n\"Answer: d**2 - 44*d + 23310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the third derivative of 5\/3*q**3 + 0*q - 83*q**2 - 1\/4*q**4 + 0. Let x(a) = 2*a - 3. Give -2*i(u) - 7*x(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -902*h**3 - 11*h - 27. Let z(r) = 2*r + 4944*r**3 - 3 + 8 - 4764*r**3. Let s(v) = -2*u(v) - 11*z(v). What is the derivative of s(k) wrt k?\nAnswer: -528*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**6*h\/(h*h**(-5))*(h*h**(-1\/5)*h)\/(h**(-1\/14)\/h))**(-12\/7))**(-41) assuming h is positive.\nAnswer: h**(238866\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z + 14. Calculate u(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24584 - 15681. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -586208*g + 19 + 0 - 51. Let b be h(-29). Round b to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 371 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 + 7*y**2 + 3*y - 12. Let d be j(-3). Solve 25 = -5*p - 3*w, -3*p + 0*w = -4*w + d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 w, and 1 v when three letters picked without replacement from hyvywvwyhfyv.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 188 divided by 1\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 + 3*l**2 - 7*l - 9. Let v be z(-4). Suppose -v*t + 6*t = 129. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12211022110102 (base 3) in base 4?\nAnswer: -23303331032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -4*r - 16. Let p be g(-6). Let w be 1\/(-4) + (-13)\/(-4). What is the third derivative of -7*v**4 - 9*v**2 - p*v**3 + 8*v**w wrt v?\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -d + d**4 + d - d**4 + 2*d - 2*d + (-3*d**2 + 3*d**2 + d**2)*(-5*d**2 - 8*d**2 + 10*d**2).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -83 - -86. Suppose -393 = -b - w*z, 3*b - 5*z = -2*b + 2025. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4832492 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 177*q - 435*q + 136*q = -491 - 8293 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -332*s**2 - 492*s**2 - 426*s**2 - 49*s**2 - 274*s**2.\nAnswer: -1573*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.57 + -0.05. Let t = -0.053 - 1.787. Let v = t - h. What is v rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (11 - 9)*(-1 + (-17703)\/62). Let m = -573 - n. Is m greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -4, -5, -2, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1262 - 1462. Round m to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 4, 27, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 132 + -128. Suppose -11168 = -g*k + 2052. Suppose 0 = 10*n + 965 - k. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:58 AM and 12:07 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15790511?\nAnswer: 11, 1435501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 286 and 1168934?\nAnswer: 12858274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3193880663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 71 - 74. Suppose -10 = -4*s + 2, 0 = 2*p - 4*s + 20. Sort p, -2, x.\nAnswer: p, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -2*w + 120. Let h be x(33). Suppose -44 = -5*z - h. Sort z, -4, 0.\nAnswer: -4, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**1)**(-13)*((((m\/(m*m**(-1\/2)*m))\/m)\/m)\/m*m)**(-7) assuming m is positive.\nAnswer: m**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 131*q - 12015316 = 15745287. Is q 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 -18\/239 and 5\/12?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 108 and 7044.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is o in 2*o**3\/17 + 12*o**2\/17 - 192*o\/17 + 448\/17 = 0?\nAnswer: -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 351 is divided by 168.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*h - 5469 = 8*h + 60*h - 24279 for h.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 1, b: 4, a: 2}. What is prob of sequence bbab?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 990 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 11308*p - 552724 = -55172 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (312 - 157 - 333*a - 155)*(-4*a - 1 + 1)*(0 - 2*a**2 + 0).\nAnswer: -2664*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 54563916 and 4752.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 36653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -n**3*x**3 - n**3*x**2 + 69*n**2*x**2 + 2*n**2*x + 438*n*x + 121720*x**3 wrt x.\nAnswer: -6*n**3 + 730320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -18*u**2 + 6. Let y(p) = -19*p**2 + 7. Let f(v) = -6*t(v) + 5*y(v). Let g(w) = w + 10. Let d be g(-9). What is f(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, s: 1, z: 1, b: 1, p: 2, i: 1}. Give prob of sequence bipy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + 1 - (9 + (3 - -6))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 62, -2, 98 in descending order.\nAnswer: 98, 62, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes after 2:33 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 628722.9085 to the nearest 100.\nAnswer: 628700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4578 - 89c?\nAnswer: -5147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 128.5822929 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of r**3\/6 + r**2\/2 - r + 139. Suppose -2*q = -3*q + 6. What is y(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 221, 3\/562, 1.6?\nAnswer: 3\/562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -f = -364*k + 369*k - 15, 0 = f + k - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*f = 77*f - 52 + 676. Let h(p) = -12*p - 14. What is h(f)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from {r: 5, i: 8}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*l + 9*l - 1056 = 0. Suppose 10*c = l + 98. Solve 0 = 8*t - c*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence azd when three letters picked without replacement from {g: 1, h: 3, d: 3, z: 1, a: 1, m: 5}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -4.96. Let o = k - 4.96. Suppose -f + 14 = -2*h, 3*f - 4*f - 5*h = 21. Which is the third smallest value? (a) o (b) 1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -6*(-2)\/(-8)*-2. Suppose 0 = 5*v + 2*t - 47, -u*v - 5*t = v - 24. What is the second derivative of 2*j - 12*j - 8*j + v*j**3 wrt j?\nAnswer: 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -11*g + 62. Let d(k) = 6*k - 27. Let y(c) = 5*d(c) + 3*w(c). Calculate y(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.05 and 0.17641.\nAnswer: -0.0088205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**3 + 3*b**2 - 2*b - 2. Let s(x) = -3 + 7 + 10 + x. Let f be s(-11). Let g(c) = c**3 - 4*c**2 + 3*c + 3. Give f*g(y) + 4*p(y).\nAnswer: -y**3 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 5162627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -21*w**2 - 21*w**2 + 18*w**2 to the form s*w + o + k*w**2 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -61 - -40. Let x = f + 57. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2898\/(-2079)*-11 - -4*11\/(-4). What is m in -7\/3*m**4 + 1\/3*m - w*m**3 + 0 - 5\/3*m**2 = 0?\nAnswer: -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -321743 (base 8) to base 16.\nAnswer: -1a3e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-3\/2)\/j*j)\/(j*j**(-12)))\/(j**(-1\/18)\/(j\/((j**(-7\/6)*j)\/j))) assuming j is positive.\nAnswer: j**(211\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 2777.5 - 1613256.\nAnswer: -1610478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1148bd8 + 1?\nAnswer: 1148bd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 8*y**2 - 5. Let p(h) = 339 - 171 - 169 + h**2. Give 6*p(g) - z(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 238380151 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -179736 * -32\nAnswer: 5751552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b - 2*b = 6. Let t(u) be the first derivative of u**3\/3 + u**2 - 2*u + 6. Give t(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -58, 4, -3, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/7, -3, 0.03, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 - (-28707)\/35)\/((-1)\/5). Let r = f + 6093. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ptiwnnninnttnwt. Give prob of picking 1 w, 2 i, and 1 n.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -391 + 396. Suppose 4*n - 2*o - 418 = 0, -n + 2*o - 414 = -u*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 359513759 a multiple of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {q: 1, s: 2, r: 1, c: 2, f: 2, l: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 31 + -35 + 3 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1318)\/8 - (-3)\/(-12). Let c = 92 - t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z**3 + 16*z**2 + 33*z + 74. Let v be f(-14). Suppose -v*q - 3 = -p - 16, p + 4*q = 3. Which is the nearest to -2\/3? (a) p (b) -2 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 16 = 0, 2*p + 5*d - d - 1536 = 0. Let w = p + -506. Suppose 0 = -2*a + 4*a - w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 28, 23, 20, 19, 20?\n\"Answer: k**2 - 8*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 350 is divided by 89.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 3*d**2 - 2. Suppose -4*t = -3*m + 16, 7*t = 4*t + m - 12. Let v(x) = x**2 - 1. What is t*v(r) + w(r)?\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 489243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4071 = -94*s + 4229 - 8112 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are -7 and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 2*d + 5*w, 42*d + 21 = 37*d - w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -120 - -206. What is the remainder when t is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -2317 divided by -64\nAnswer: 2317\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*g + 0*g + 15*g)*(-2 - 1 - 1)*(g - 2*g + 2*g) in the form o*g**2 + b + n*g and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -280 + 284. What is the third smallest value in 2\/9, 0.1, -5, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 107.1 + -103. Let y = -1.9 + z. Let p = -2.20047 + y. Round p to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that 63*w**5 - 23151*w**4\/2 + 1083279*w**3\/2 - 1816269*w**2\/2 + 124215*w\/2 = 0.\nAnswer: 0, 1\/14, 5\/3, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/((-2)\/3) - -2)*(-1380)\/(-2415).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4\/619 - -16561\/23522. Let g = 1133\/156 + -141\/13. Calculate the common denominator of f and g.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*w - 65 = 62 + 178. Let b(q) be the first derivative of -w*q**4 - 4\/5*q**5 - 8*q - 14 - 12*q**3 - 14*q**2. Find k, given that b(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-50)\/(-15))\/(-10)*81\/3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 14 - 15. What is the second biggest value in 0, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2166051?\nAnswer: 3, 83, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 10 = 3*a, -2*a - 10 = 79*p - 76*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 9*h + 5. Let w be (2\/(-4))\/((14\/44)\/7). Let q(z) = 3*z + 2. Let g(k) = w*q(k) + 4*n(k). Suppose 4*f = f + 9. Determine g(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.81 + -4.51. Let z = 46.5 + -47. Which is the smallest value? (a) z (b) -4 (c) m (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 4, -14, -3083 in decreasing order.\nAnswer: 4, -9, -14, -3083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.65 - -0.35. Which is the closest to 2\/7? (a) 2\/3 (b) -4\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2)*2 + -4)*-2 + -3 - ((4*(0 + sqrt(2)) + -3)*-1)**2) + 0.\nAnswer: -36 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the third derivative of 0 + 58*g**2 + 17\/6*g**4 + 91\/6*g**3 + 0*g. Differentiate q(r) wrt r.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -29*k - 29*k - 290 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 9001*c = 9012*c - 121 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5872 + 5876. Solve 12 = s*t - 2*z, z = -16*t + 19*t - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 50215, 200760, 451661, 802912, 1254507, 1806440?\n\"Answer: -f**3 + 50184*f**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 534 = 543 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (115\/9 - 6) + 2\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -239*r**2 + 16258*r - 429. Give h(68).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Is -19 greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 787451 is divided by 78739.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -138.14704 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*j + 2*j + 0*j)*(-4 + 7 - 7) + j - 4*j + j + (2 - 1 + 0)*(-j + 1 - 1) + 6*j + 0*j - 5*j - 2*j - 2*j + 2*j to the form y + g*j and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-8)\/48)\/((5\/(-4))\/5))\/((-4470)\/261495)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the first derivative of 0*z - 29 + 1\/2*z**2 - 2\/3*z**3. Determine i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qif when three letters picked without replacement from {x: 7, q: 7, c: 2, f: 2, i: 2}.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**2 + 10*k - 5. Let f be (-3)\/((-9)\/6) + 7. Suppose 45 = -f*g + 126. Let j be z(g). Solve j = -6*s + 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 12 (c) -5 (d) 111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -1056 by -6.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjemjjeegjjdjejmjcjj?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.49882 - -5128.70118. Let w = d - 5131.19995. Let n = w + 2. What is n rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -36*d - 108 + 156 + 312 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 73 (base 11) to base 7.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {z: 3, j: 4, q: 6}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 23394*s**3 - 82269*s?\nAnswer: 140364*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3.9 + -4. Suppose -2*l = o - 12, -l + 25 - 9 = 3*o. Suppose -y - l*i + 13 = -2*y, -2*i = -8. Which is the nearest to h? (a) y (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 5*h = -17, -2*r + 2533*h - 2 = 2529*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1997653426?\nAnswer: 2, 19, 683, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a = -5*r + 180 - 157, 3*r - 45 = 5*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -3*m + 4*m - 4*m + (m - m + m)*(1 - 1 - 1) + 21*m - 7*m + 6*m + 3*m + m - 6*m + (5 - 3 - 3)*(4*m - m - m) - 4*m - 3*m + 5*m as u*m + y and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 4571, 7992, 11413?\n\"Answer: 3421*v + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/31406 and -73\/235586?\nAnswer: 90229438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2423295 and 112161.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2858 - 95*a**2 + 52*a**2 + 44*a**2 - 4217 + 3151*a**4 wrt a.\nAnswer: 12604*a**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.76 - -1.07. Let c = -0.6802 - b. Round c to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -73 + 75. Suppose -v + k*c - 16 = 4, 5*v = -4*c - 30. Is ((-16)\/20 - -1) + (-1408)\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5\/11 - 387\/803. Is -1 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -6, -0.3, 6\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -10, 3\/2, -0.5, 0.03973?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 264\/29 + -6508\/957. Find the common denominator of g and 4\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/20)\/((-3068)\/(-2360))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 26*w = 248. Suppose -p = -3*x - 13, -x + 18 = 2*p + x. Differentiate -w*r**3 - 4*r**2 + 4*r**2 + p + 6 wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 14.21386623 to two decimal places.\nAnswer: 14.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 19 (base 14) in base 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i = w + 58, -44*w + 91*i + 1100 = -40*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4676336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the first derivative of o**4\/4 - 10*o**3\/3 + 13*o**2\/2 - 14*o - 156. Let x be c(9). Solve -21*u + 4 = -x*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 10 in 1\/5, -0.3, -40.9, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -26*v - 14. Let j be i(-4). Let g = j - 69. Solve m + m = -z + 1, 5*z + 2*m = g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4385 and 1419863?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2*p - 3. Let g(j) = -3*j. What is g(b(n))?\nAnswer: 6*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 561 a factor of 5982504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 12, 50, 28 in descending order.\nAnswer: 50, 28, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 55 and 380?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 1 - 1 + 2*g**3)*(4*g + 0*g + 4*g) as f*g**2 + y*g**4 + t*g + w + x*g**3 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 468*k + 345443. Calculate n(-738).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 152575929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*c = -50 - 163 + 37 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -8, -35, -80, -143?\n\"Answer: -9*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/14)\/(8384\/(-35840) + 2\/32).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the third derivative of 0*s - 1\/12*s**4 + 1\/60*s**5 - 6*s**2 - 2\/3*s**3 + 0. Determine u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -668.3 * 9670.\nAnswer: -6462461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + ca87?\nAnswer: ca87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add together 11.4 and -241736.\nAnswer: -241724.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 3*y - 201 + 726, -2*y + 730 = 4*w. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - 0*l - 5140. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the first derivative of k**3 + 272. Let u(g) = -6*g**2. Give u(y(p)).\nAnswer: -54*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j**2 + 45*j - 33. Let m(s) = -2*s**2 - 45*s + 33. Let h(b) = -7*l(b) - 6*m(b). Let d be h(-26). Which is smaller: 1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 85714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s - u + 39, 54 = -5*s - u + 144. Calculate the remainder when 84 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**2 + 5*r + 3. Let j be i(-5). Suppose j*u + 2*u - 15 = 0. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 + 2*v + 4. What are the prime factors of y(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54470000 rounded to the nearest one million?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 6007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -535\/3 - -178. Suppose 5*n + 45 = -10*n. What is the closest to -1\/2 in -1\/11, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*z = 3*c - 116 - 33 + 46 - 95, -z - 18 = 5*c - 8 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 136\/45 - 14\/5. What is the nearest to 0 in b, 3, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/20)\/((-5)\/5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that -4*g**2 - 149043816*g - 1388378692990116 = 0.\nAnswer: -18630477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73672 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -20017, -80067, -180151, -320269, -500421, -720607?\nAnswer: -980827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 410 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**3 + 7*d**2 + 2. Let a be r(-7). Let y(g) = 1 - 6*g**2 + 4*g**2 - a*g**2. Let v be -4 - 6\/(-3 - -1). Determine y(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 63553313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -21 in -23\/3, 250\/9, -4?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 477 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -42.5, 2\/3, 5, 4\/9, -25, -2\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -8*i + 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -514403748 and -1.3438?\nAnswer: 514403746.6562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (35\/(-15))\/(4\/6)*(-32)\/(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 + y - 8. Let x be p(-4). Let c(l) = l**3 - 8*l**2. Let f be c(8). Suppose f = j - x*j + 36. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2211 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7 + 25. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rhhhfhfhhrfrh. What is prob of picking 3 h and 1 r?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 4 + 0 + 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 37357 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 68404*a + 1983775. What is m(-29)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 52 + 1. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 5*l - 5. Let d(j) = 3*j - 2. Let t = 15 + -10. Let q = -108 + 106. Let v(h) = q*a(h) + t*d(h). Calculate v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1771 + 1768. Let h(x) = 2*x**3 + 4*x**2 - x - 3. Determine h(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, 0.02, 25, -411, -4\/7?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the first derivative of -r**4\/24 - 3*r + 3. Let q(o) be the first derivative of t(o). Solve q(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56570.\nAnswer: 2, 5, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 20*v + 1662 - 1842 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 4 = 0, -t - 4*m = 4*t - 11. Suppose -v - 1 = -t. Let c = 14 - 5. What is the smallest common multiple of v and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -32 less than or equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.01 - -0.09. Let s = 0.04 + 2.96. Let t = 49.9 + -50. What is the smallest value in a, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6, 29, 72, 141, 242?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-7 - -5) + 6 - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -92752 - 13?\nAnswer: -92765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m**2 - m + 45. Let h(z) = 7*z - 51. Let x be h(9). Suppose -9*o + x*o - 72 = 0. Calculate the remainder when t(0) is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 3*q = -15, -q - 1 = -3*u - 6. Suppose u = 4*i - 9*i + 25. Solve -s = -i*w + 11, -11 - 9 = -5*s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1631422 (base 10) in base 7?\nAnswer: -16603222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -27*d**3 - 2*d**2 + 1. Give j(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 21 (base 16) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 651 divide 114536790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2682560 * -0.2\nAnswer: 536512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4322 a factor of 1037677624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (24 - 14 - 23)*(2*o + 0*o + 0*o)*(-25 + 25 - 27*o).\nAnswer: 702*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes before 4:16 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -34689 times 193?\nAnswer: -6694977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -40 + 39.999925. What is r rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10 - 5 - 9 + 38*a**3 + 4.\nAnswer: 38*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17846569 to the nearest integer?\nAnswer: 4225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be (180\/(-240))\/((-6)\/6040). Let n = q + 234. What is the greatest common divisor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 15.143 and 0.1.\nAnswer: 1.5143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 6 = 3*w, 3*w - 4 = -4*v - 2*w. Suppose v*q = 16*q - 11080. What are the prime factors of q?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 167*t + 115*t + 4487 - 257 = 0 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5074117 divided by 21.\nAnswer: -5074117\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2047315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 9*q**2 - 31*q - 24. Let u be j(4). Which is the biggest value? (a) 99 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 4 = -2*k - 10, 0 = -4*k + 5*z - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15 + 16. Let o = 0.2 + -1.2. Let q = 0 + o. Which is the second smallest value? (a) s (b) q (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 323 minutes before 12:51 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/802928 and 137\/336.\nAnswer: 2408784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -8*a**3 - 2*a**2 + 4*a + 2011. Is o(0) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 153\/36 + 2\/(-8). Suppose 0*o = -y*o. Solve 4*t - 2*l = -18, -4*t + l - 13 = -o*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 2*l**3 + l**2 - 7*l + 6. Let r be k(2). Suppose 4*w - 4*p = r, w - 4*p - 1 - 5 = 0. Solve -y - 1 = w*m, -y = -4*y + 2*m - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor p**2\/3 - 2474*p\/3 + 2473\/3.\nAnswer: (p - 2473)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the third derivative of 1\/60*c**5 - 1\/8*c**4 + 1\/3*c**3 + 0*c + 0 + 4*c**2. Let r be z(0). Solve r*a - 5 = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 22643 + -132?\nAnswer: 22511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2374 to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5508859, -5508860, -5508861, -5508862, -5508863?\nAnswer: -5508864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1068323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x = -270*m - 718*m + 4932, 23 = 5*m + x - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 123619?\nAnswer: 123619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -82, -309, -692, -1279, -2118?\nAnswer: -3257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:45 AM and 12:25 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2.88 less than -18.8?\nAnswer: -21.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 192197498879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -4*r**3 - 36188*r**2 + 1525188*r - 16032996 = 0.\nAnswer: -9089, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/242176 and -53\/9728.\nAnswer: 4601344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5\/51 + 4\/17. Let m = -0.01 - 0.29. Let g = -3 - -3. What is the nearest to g in t, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x - 28*x**2 + 29*x**2 + 5*x**4 - 4*x)*(184 - 70 - 11).\nAnswer: 515*x**4 + 103*x**2 - 103*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*x + 12*x - 36. Suppose -5*j + 69 = -4*l, 0*j + x = j + l. Solve 3*g - j = 4*h, -2*g - h + 2*h + 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3013 a factor of 74524027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 560 and 5947438.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/714 and -55\/21.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -294*d + 2. Let a(c) = 44*c**2 - 29*c**2 - 12*c**2. Give a(u(s)).\nAnswer: 259308*s**2 - 3528*s + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -126505, -506013, -1138505, -2023963, -3162369, -4553705, -6197953?\n\"Answer: 3*u**3 - 126510*u**2 + u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 113 - 404334?\nAnswer: -404221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(21) - sqrt(63)\/(sqrt(3) - sqrt(27)) - sqrt(126)\/sqrt(96))*4)\/((sqrt(36)\/sqrt(192) + 4*sqrt(48))*-4).\nAnswer: -sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*v + v**3 + 3*v**2 + 3*v**2 + 2*v**3 - 4*v**2 - 103 - 24*v to o*v**2 + x*v + d + h*v**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 2*v + 3 = 0, -2*u - v + 4 = -2. Suppose u*p = p + 66. Suppose 0 = 5*m - 74 + 14. Calculate the remainder when p is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 52*k**2 - 20*k**3 - 36*k + 8 + 9*k**4 + 27*k**5 - 40*k**4 - 19*k**5 + 19*k**4 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a + 54*d - 59*d + 15 = 0, 0 = -2*a - 4*d + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 4, 1, -26826.\nAnswer: -26826, -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -186, -194, -202, -210?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12825174 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*n + 23 = -13*n - 4*g, -n - 17 = 4*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -2*o + 1777. Let c(i) = 14*i - 12433. Give -2*c(p) - 15*r(p).\nAnswer: 2*p - 1789","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 307, 321, 335?\n\"Answer: 14*k + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/6 or -3507918?\nAnswer: -3507918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 634170999 divided by 1859739\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 minus -8087.642483?\nAnswer: 8088.042483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fqvjuqaf. What is prob of sequence vq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -a5 (base 13) in base 2?\nAnswer: -10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -42536, -42522, -42496, -42452, -42384, -42286, -42152?\nAnswer: -41976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/5, -88, -10 in increasing order.\nAnswer: -88, -10, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j*j*j\/(j*(j**(2\/15)\/j)\/j)*j)\/(j\/(((j*j\/j**(1\/6))\/j)\/j)))**(-25) assuming j is positive.\nAnswer: j**(-235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**5 + 18*u**4 + 29*u**3 + 34*u**2 + 23*u + 1. Let i(j) = 2*j**4 + j**3 - 1. Let a(o) = f(o) - 5*i(o). Factor a(z).\nAnswer: (z + 1)**3*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -2*g**2 + 124*g - 1894. Give l(26).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -205, -453, -739, -1069, -1449?\n\"Answer: -t**3 - 13*t**2 - 202*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be 126*(18\/(-45))\/(8\/(-10)). Let q = d + -55. What is the tens digit of (1 + 12\/3)*(q + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2 and -0.207?\nAnswer: 0.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 89114\/51 - ((-7)\/(-3) - 2) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fkak when four letters picked without replacement from guagksukugf?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2104809 or -2104804?\nAnswer: -2104809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.3 + 0.3. Let k = u - 1. Let i = 34.1 - 34. Which is the closest to 0.2? (a) 1 (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 95*b - 82*b = 91 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v**5\/5 + v**4\/5 - 4*v**3\/5 - 4*v**2\/5 = 0. What is v?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*l**2 - l**2 + 3*l**2 + l**2 - l + l + 0*l**2 - 3*l**2 + l**2 + (-3*l**2 + 6*l**2 - l**2)*(5 - 3 - 3) + 6*l**2 - l**2 - 8*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 3 t when four letters picked without replacement from {z: 9, t: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1087.49 rounded to the nearest 10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 2*s = -130, 8*b - s = 3*b + 130. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 0.22 (c) 2\/9 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -5*v + 4. Let o(b) = -v*b + b - b. Let t(q) = -9*q**2. Determine o(t(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 3*a - 24. Let j(b) = 2*b - 23. Let l(y) = -5*j(y) + 4*t(y). Let d(f) = -f - 10. Let g(i) = 11*d(i) + 6*l(i). Determine g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 0*h + 4*h - 3*h - 1. Let g(c) = c**2 - 4*c + 4. Let n(v) = g(v) + 4*j(v). Let k(r) = 2*r. Give k(n(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*r = -3*r + 28. Let f(a) = -a**3 - 5*a**2 - 5*a + 3. Give f(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is b2 + 3?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 34.73999 hours in seconds?\nAnswer: 125063.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5815 - -5815. What is the fifth biggest value in -4, -2, -0.3, h, 0.367?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 7 (b) -3 (c) -0.5 (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 846 divided by 141.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2437161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -17, 295072, 9, 4.\nAnswer: -17, 4, 9, 295072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (3*r + 0*r + 11*r)*(-2*r**2 + r**2 + 2*r**2) as c*r**3 + w + g*r**2 + i*r and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence twbw when four letters picked without replacement from bxwbwtxwbxwbtbb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -335 + 54*g - 324 + 628. Let r be d(9). Let t = r - 290. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -23*l**2. Suppose 28 = -5*n - u, -5*n - 3*u = 18 + 16. Let r(h) = -15*h**2. What is n*s(g) + 8*r(g)?\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 59 - 18. Suppose 3*d + d - 5*i = f, -4*i - 16 = d. Suppose -19 = y - d*y + 4*g, -4*y - 3*g = -42. Calculate the remainder when y is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = y - 132. Suppose -4*n + 4*b = -48, 0 = 5*n - 2*b + 15 - 69. What is the remainder when y is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-65)\/(-20) - 18\/6. Which is the closest to n? (a) 0.4 (b) 4 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes before 11:36 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13 - -10. What is the units digit of (3\/(-2))\/(a\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -8204*z + 12. Let a(j) = 525093*j - 766. Let u(r) = 6*a(r) + 383*k(r). Let i(f) = 3*f. Calculate i(u(x)).\nAnswer: 25278*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 34041491 to the power of 1\/2, to the nearest integer?\nAnswer: 5835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 41038655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2, 6\/7, -1020?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -7*j. Let d(h) be the second derivative of -3437*h**3\/6 + h - 3278. Calculate d(s(a)).\nAnswer: 24059*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 11, 0, -4, -5, 38 in decreasing order.\nAnswer: 38, 11, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 431755046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, 3.3, 1235.6?\nAnswer: 1235.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6710563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4983843t to micrograms.\nAnswer: 498384300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**3 + 8*q**2 - 8. Let c be (-18)\/(-4)*(1 - -1). Suppose -t + 9 = -3*p - 2*t, 0 = 3*p - 2*t + c. Let k(l) = 3*l**2 - 3. What is p*y(s) + 8*k(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*s = -70*s + 2*g + 4, 25*g + 13 = 23*g - 107 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - -7f?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1177 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (47 + (-5699)\/123)*126\/(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bj when two letters picked without replacement from mxmbj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*j**2 + j**3 + 5 - 13*j**2 + 30*j**2 to the form l*j**3 + o*j**2 + r + a*j and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that 700*v + 0 - 20*v**2 + 1\/7*v**3 = 0.\nAnswer: 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 81\/1013098 and 7\/718.\nAnswer: 1013098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -34*r - 7. Let y be d(-5). Suppose 5 = 5*t, 2*t = -2*h - t + y. What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (19 - (25 + -10)) + -11 + -2 - -11. Factor 48\/19*g**k - 18\/19*g - 32\/19*g**3 + 2\/19.\nAnswer: -2*(g - 1)*(4*g - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 6*x**2 + 397*x + 479. Let v be w(-65). Solve 20*g - v = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 709594.5 millilitres?\nAnswer: 709.5945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - (-105)\/(-28))\/(13 - (-805)\/(-60)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 45831*v**3 - 42*v**2 + 2051. Let i(c) = -7637*c**3 + 7*c**2 - 342. Let f(t) = 4*g(t) + 23*i(t). What is the third derivative of f(r) wrt r?\nAnswer: 46038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 5*u - 17 = 0, -p + 5*u = 4*u - 3. Suppose -8*n + n = -p*n. Solve n = -7*o + 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -101a44 (base 16) in base 3?\nAnswer: -1222121121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((13\/8)\/13)\/((-3)\/18)*(-30024)\/(-278)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -12*r**2 + r**4 - r**2 + r**4 - 2 in the form u*r**3 + m + i*r**2 + c*r + n*r**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -501 (base 9) in base 2?\nAnswer: -110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of -k**3\/6 - 4*k**2 - 29*k - 53. Let d(n) be the first derivative of q(n). What is d(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the first derivative of c**5\/120 - c**4\/8 - c**3 - 5. Let h(y) be the third derivative of p(y). Let o(n) = -7 + 7*n - n - 9. Give 11*h(w) - 2*o(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -29138, -29134, -29128, -29120?\n\"Answer: i**2 + i - 29140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -40, -80, -120, -160?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 1384*x**2 + 461*x - 14. List the prime factors of p(-5).\nAnswer: 19, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -4*y - 97, 4*y + 72 = -2*h - 46. Let o be 2\/(-5) - (-4992)\/30. Let m = y + o. Calculate the remainder when m is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 49 + -42. Let o(c) = 4 - 20*c - p - 3*c**2 + 5. Let u(t) = 2*t**2 + 21*t - 3. Let m(x) = 3*o(x) + 2*u(x). What is the second derivative of m(a) wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 7 = f. Let p = f - -6. Let s(g) = 6*g**3 + 3*g**2 - 8. Let q(o) = -o**3 - o**2 + 1. Determine p*q(j) - s(j).\nAnswer: -j**3 + 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be -4*3\/(-12) + 1. Suppose 127 = v*k + 15. What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/(-3))\/((-100)\/(-375)*(-200)\/1780)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 106, 120, 150, 202, 282, 396?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*5*(-4*-3*(-5 + sqrt(245)*1 + sqrt(245) + sqrt(245))**2*-3 + -5).\nAnswer: -802850 + 75600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -227 - -162. Let c = 16065 + f. What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t + 6*r = -4327 + 4344, 4*r = 2*t - 0*t - 18 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 32990795839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-38)\/198 - 32\/(-144). Let n = 11\/28 - 1\/4. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(1100) - (3*sqrt(176) - sqrt(11)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.879 and -5.\nAnswer: -9.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8088 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (t**2 + 2*t**2 - t**2)*(3 + 2*t - 3) + (26*t - 20*t + 12*t)*(2*t**2 + 0 + 0).\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 378940 is divided by 18947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - g. Let r(n) = -7*n**2 + 9*n + 1. Give r(y) + 5*v(y).\nAnswer: -2*y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5669571210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:50 PM and 8:15 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 53 = 2*a + 19, 2*j = 5*a - 86. Let t = -87 + 87. Suppose 0 = 3*g + r - 5, t = -4*g - g + 3*r + 13. Calculate the lowest common multiple of a and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b**2 + 32*b + 34. Let u be q(33). List the prime factors of 234 + -23 - (u - 0).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6\/29 + 7\/174. Let c = 45915.1 + -45914.7. What is the closest to -0.1 in c, 5\/2, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**2 - 8*j - 5. Let q(v) = -v**2 - 8*v + 2. Let h be q(-7). Let r be x(h). What is the greatest common factor of r and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5219 - -5228. What is the biggest value in 2\/11, g, 1\/4, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5734 divided by -2.\nAnswer: -2867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the first derivative of i**4 - 8*i**3\/3 - 2*i**2 + 8*i + 5. Suppose v(t) = 0. Calculate t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 2*c - 4)*(-2 + 2 - 1 + (5 + 9 - 32)*(0 + 2 + 11)).\nAnswer: -470*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 44127 divided by -14709\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*i - 77*i - u + 10 = 0, i + 2*u + 13 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 3*l**2 + 3*l - 1. Let a(t) = t**2 + t**2 - 1 - 3*t**3 - 2*t**3 + 2*t + 4*t**3. Let q(p) = 3*a(p) - 2*i(p). Differentiate q(w) with respect to w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 8047 and 7991 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -25 + 25.36. Let j = h + -0.16. Let m = -0.1 - 0.1. Which is the second biggest value? (a) m (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:29 AM and 2:11 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (15 - 3 + 7)*(-3*y + 4*y + y)*(3*y**4 - 2*y + 2*y) - y**5 + y**4 - y**4.\nAnswer: 113*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.128 + -1961686.5319.\nAnswer: -1961686.6599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Subtract 235 from 27436.\nAnswer: 27201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1208173593.\nAnswer: 3, 11, 769, 47609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -158 + 305. Suppose -4*j - 4*a = -48, 0 = -j - 2*a + 3*a + 8. Calculate the remainder when x is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -4 - -3 - -1*1. Suppose 0 - 30 = -5*x. Let m = c - x. Is -6 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15694 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 896 and 421568.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 15 + 6 = 0, -5*t = -2*f - 5. Let h(x) = -4*x - 37. Let o be h(f). Suppose o*p - 121 = 296. What are the prime factors of p?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -26 - -89. Let y = p - 67. Which is the third biggest value? (a) y (b) 1\/5 (c) -3\/4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {y: 3, b: 2, x: 3, d: 1, u: 1, s: 7}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/9 - 10\/54*-6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/4*12\/(-84)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -321 - 1?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -3051 at most as big as -3050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 3*n - 1504657 = 0, -94*k = -90*k + n - 1203712. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -118.11, -0.3, 4\/5, -2\/39, -3 in descending order.\nAnswer: 4\/5, -2\/39, -0.3, -3, -118.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -18, -21, -42, -93, -186, -333, -546, -837?\n\"Answer: -2*x**3 + 3*x**2 + 2*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.478 - 2582.522. Is 1 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -31, -97, -197, -331, -499, -701?\n\"Answer: -17*t**2 - 15*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -210 (base 6) in base 2?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1024 and 3200.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00001536698 to seven dps.\nAnswer: -0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 34092 and 108.\nAnswer: 102276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-2 - -4) + 2 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (20\/(-6))\/((-4)\/6). Suppose -5*y - 11 - 109 = -t*p, 0 = 4*p + 5*y - 78. What is the greatest common factor of 330 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3485997110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -216 divided by -8661?\nAnswer: 72\/2887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -567833\/15 - -37855. What is the nearest to z in -0.3, 2\/5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-1)*1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -377*t**3 + 5*t**2 + 10*t - 5. Let a(c) = 376*c**3 - 4*c**2 - 8*c + 4. What is -5*a(f) - 4*g(f)?\nAnswer: -372*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 18 - 17. Let u = -14 + 13.79. Let n = -1.21 - u. Which is the second smallest value? (a) -0.1 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 10 = -3*s - q, -5*s + 7 = 3*q. Solve 0 = -4*k + s*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.219 times 0.1\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 190 + -189. Let h(t) be the first derivative of 5*t**4\/4 + t**3\/3 - t**2\/2 - 7. Give h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 861 + 208 = 65*y - 231 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3, -21513, 0, -4, 0.2, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 6138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 + 81 = 5*x. Suppose -x*c = -20*c - 775. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 20380, 81398, 183058, 325360?\n\"Answer: 20321*t**2 + 55*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 5 (b) 0.1 (c) -1\/2615 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyxzoyz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 2*t - 4, 2*m - 2*t + 9 = t. Suppose m*b - 6 = -0. Suppose -14 = -2*j + b. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -u - 3*y = -27306588 + 27306611, 6 = -y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/91, 1\/2, -3528?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/4 and -25\/4253234.\nAnswer: 8506468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -141*h**2 - 19*h - 2. Calculate i(2).\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-88)\/(-176)*0\/2. Let w(n) = -n**3 + 2*n + 1329. What is the units digit of w(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + (sqrt(176) - (sqrt(176) + 0)))*-4 + (sqrt(176) + -5 + sqrt(176)*1)*3 + -1)**2 + -4.\nAnswer: 6332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s. Let t(d) be the first derivative of -19*d**2 + 29. Determine j(t(c)).\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 7 = 3*w, 17*w = 3*q + 12*w - 8. Is 2\/521 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(75)*3 - sqrt(75) - sqrt(75)) + 0 + -4)**2 + (sqrt(75) + 0 + sqrt(75)*1 - -1*2*sqrt(75))**2 + 3.\nAnswer: -160*sqrt(3) + 2419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**3 + 4*c**2 - 3*c + 6. Let y be r(4). Let i(n) = -1 + 1 - 3*n - n - 1. What are the prime factors of i(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 183*h**3 - 209*h**3 + 24*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-12)\/((n\/(n*n**6))\/n))\/(n**(1\/7))**21 assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2\/19 (b) 14 (c) 1\/6 (d) -14 (e) -0.06 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -511115 divided by -9293?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 7774242 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 21943630081\/3 - 826133785918219\/112944. Let z = 10\/2353 + t. Calculate the common denominator of z and -71\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 169 and 942890.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -5 (c) -2\/27 (d) 2\/47 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3.98 + -0.02. Let s = -1.3 - -0.3. Let z = x - s. Which is smaller: 1\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 199 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 5 = 5*j. Let x be (-3)\/((-7)\/2 - -2). Let i = 810 + -810. Solve i = j*v + x*w, 3*w + 12 = 4*v + w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-24960)\/(-1120) + ((-1)\/3)\/((-14)\/(-12)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 2*t + 378 = 148, 2*n + 3*t = 111. Suppose n*l = 42*l + 55578. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -2*g**2 + 5*g**2 + 2 + 0*g - 2*g**2 - 7*g. Let d be j(3). Let p(v) = v**2 + 9*v - 14. Let s be p(d). Sort 1, -5, s.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1539) + ((sqrt(1539) + 0)*6 - sqrt(1539)) - (5 + sqrt(1539)*-2))*-1*6)**2.\nAnswer: -25920*sqrt(19) + 3546756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -14*h - 1888. Calculate m(-136).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is af7 (base 16) in base 2?\nAnswer: 101011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 + 6*h - 6. Let n be l(4). Let k(w) = -7 - 4 + 0*w**n + 6*w**2. Let t be 1 + -3 - (16 - 14). Let y(s) = 3*s**2 - 6. Determine t*k(q) + 7*y(q).\nAnswer: -3*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -172*o - 1018. Calculate h(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -120*m - 9 + 124*m + 149. Let x be c(-29). What is the greatest common divisor of 84 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 415*u**3 + 2*u**2 + 10*u + 8. What is c(-1)?\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**2 - 6*z - 7. Let x be w(7). Let c = x - -3. Solve -c*o - 4 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 219122*l**3 - 438238*l**3 + 219110*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 27 and 904.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - 2.00878892453821?\nAnswer: 1.99121107546179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of ((160\/25)\/4)\/(22\/580195)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 PM and 11:12 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -140, -630, -1474, -2672?\nAnswer: -4224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1335743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 5*g - 158. What is the remainder when 127 is divided by c(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 + -3)\/(2 - 3). Suppose -5*a + 48 = -v + y*v, 16 = v + 3*a. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -979\/6 (b) -5 (c) -534 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 29449914673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-10))\/((-12)\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/(-6))\/((-448)\/(-576))*7 - 1. Solve 2*w = 18*j - 15*j + i, j = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15 - 14.84. Let j = 0.16 - l. Sort 3, 0.1, j in decreasing order.\nAnswer: 3, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5 - 5 - 2*n - 4)*(186*n + 199*n - 202*n)*(-2*n + 5 - 4 - 3*n) as h*n**2 + a + p*n**3 + k*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 31 - (104832\/(-60))\/(-56)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 54, 105, 154, 201?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeoeeeooooe. Give prob of picking 3 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d + d + 3*d)*(-17*d - 18*d + 37*d + (2 - 3 + 3)*(14*d + d - 7*d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -25386 - -62?\nAnswer: -25324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -6\/7 (b) 8\/25 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/2, 0, -16 in increasing order.\nAnswer: -16, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31851.\nAnswer: 3, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**3 + 2*h**2 + h + 1. Let w be p(-1). Suppose w*q + q - 4*v = 32, 2*v = -q - 4. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(700) + -5)*3 + 2 + ((sqrt(700) + (sqrt(700) - sqrt(700)*-1))**2 + sqrt(700))*4 + 2 + -4.\nAnswer: 70*sqrt(7) + 25185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 0*k + 10 = 0. Let r(h) = h**2 + 3*h - 2. Let z be r(-6). Let g = -14 + z. Solve c - g*c = -5*j + k, -4 = 2*c + 2*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 349049*k**4 - 250341 wrt k?\nAnswer: 1396196*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 501137, 501138, 501139, 501140, 501141, 501142?\nAnswer: 501143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 194 a factor of 32856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 329 and 77.\nAnswer: 3619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 + -4.2. Let y be (-12)\/(-22)*2\/6. What is the biggest value in j, 1\/3, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 4*h + 19 = 0, -5*v + 5 + 15 = -5*h. Suppose -v*w - 6 = 3*m, -m - 15 = -6*m. Let u = w + 8. Solve 0 = u*q - q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0704 take away 1623246920?\nAnswer: -1623246920.0704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -10021\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (196\/(-147))\/(4\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2 * -61793158\nAnswer: 123586316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 6*b - 6. Is t(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1094, -2209, -3340, -4487, -5650, -6829, -8024?\nAnswer: -9235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**2 + 10*t + 4. Calculate m(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the second derivative of -f**4\/3 + 46*f**3\/3 - 18*f. Solve n(l) = 0 for l.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 + 0 + -3*1. Let d = 104 + -104. Sort 5, i, d in descending order.\nAnswer: 5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -2*n. Let l(i) = -4*i**2 + 23*i. Determine -l(c) + 6*x(c).\nAnswer: 4*c**2 - 35*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, g: 1, z: 8, q: 3, i: 1, r: 2}. What is prob of picking 1 g and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 34 + 0)*(-320 - 22*x + 320).\nAnswer: -836*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 40 by -122.\nAnswer: -20\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -257888 (base 9) in base 2?\nAnswer: -100110010000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -4*c + 7*s + 225, 3*c - 4*s = 169. Suppose 0 = k - 4*i - 18, 3*i = 5*k + 16 - c. Sort 3, k, -2 in increasing order.\nAnswer: -2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, e: 8, j: 6, f: 1}. Give prob of sequence bb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 745006 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 19 (b) -16 (c) 13 (d) -138 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4060 divided by -4060.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 2*k**2\/7 - 106070*k\/7 - 4352232\/7 = 0.\nAnswer: -41, 53076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + 3435?\nAnswer: 343a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2708.846mm in kilometers?\nAnswer: 0.002708846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 58.39374 litres to millilitres.\nAnswer: 58393.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from unazzuo. Give prob of sequence nzuu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (89 + -92)\/((-18)\/27)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.5, -16.36, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2 + 4899*w - 2374152.\nAnswer: 3*(w - 391)*(w + 2024)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000142750293 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + u = -75. Let w = -7 - u. Calculate the lowest common multiple of w and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1100011000010 - 11101?\nAnswer: -1100011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 191 + -128. Let o be 16\/104 - d\/(-13). Suppose -o*y + 9 = -6. Is y > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2199*b + 2203*b = -24 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -111\/41003830 and 46\/35?\nAnswer: 41003830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, 0.166, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:22 AM and 1:05 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 58*(1 + (-5)\/4)*-838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15884261509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 s, 1 l, and 1 x when four letters picked without replacement from {s: 5, l: 3, z: 1, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 8 - 6 - (109\/12 - 3) and 43\/148?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 15*z - 1397. Let c be k(59). What is c rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 2*c**3 + 3*c**2 - 2*c - 1. Let d be n(1). Suppose -p - 2*p + 4*g - 10 = 0, -10 = -p - d*g. Let u = 11 + -7. Solve 4*s + 3*y = p*s, 3*s = u*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -55a17e - -5?\nAnswer: -55a179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.05? (a) 2\/43 (b) -2\/7 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + 49*m - 52*m + 61, 3*t - m = 119. What is the remainder when 98 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -44, -5, 6, -2, 1 in increasing order.\nAnswer: -44, -5, -2, -0.1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1305 is divided by 76.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be 10\/(-55) - 32\/(-55). Let d be 50\/20*(-6)\/15. What is the second smallest value in 3, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h - 1. Suppose 2*l = 10*l - 24. What is s(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 5*t. Let u be -1*(7 + -5)*(-10)\/4. Let j(o) = u*o + 64 - 64. Determine n(j(m)).\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.5, -0.01, 136.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 6 - 38. Let v = r - 27. Solve -3*k = a - 8, v*a = -0*a + k - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3\/(-7) + (-3664)\/(-56) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (-15 - -4) - -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -4*c + 10. Let l be 4\/10 - (-63)\/5. Suppose -c*u = -19 - l. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from koorrrojrllllork. Give prob of sequence lo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**2\/3 + 438636*p - 1315910\/3.\nAnswer: 2*(p - 1)*(p + 657955)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10.7 - -14.7. What is the second smallest value in -2\/7, 2, -9, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 - 2*p**2 - p - 6. Let n(x) = 12*x**3 + 7*x**2 + 6*x + 45. Let o(j) = 6*f(j) + n(j). Let u(r) = -7*r**3 + 6*r**2 - 9. Determine 6*o(v) + 5*u(v).\nAnswer: v**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 314399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 47*y**2 - 117*y.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**3 - 1352780*n**2 - 5411180*n - 5411200.\nAnswer: 5*(n - 270560)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*n - 40 = 109*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -94027 divided by 17?\nAnswer: -5531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1669324 is divided by 425?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let -d**5\/4 + 239*d**4 - 34003*d**3\/4 = 0. What is d?\nAnswer: 0, 37, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 47488762 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -5911*b**2*n + 7736496*b**2 + 237*n**3 wrt n?\nAnswer: -5911*b**2 + 711*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -745 by 32810.\nAnswer: -149\/6562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -428195 = 9062*k - 74777 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/5? (a) -0.2 (b) -1 (c) 155\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b - 2. Let g be x(4). Suppose -o = g*l - 2*o - 9, -2*o = -2*l + 8. Suppose -l*p + 7 = -4*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y\/(y**(2\/35)*y))*y*y**(-21))**3 assuming y is positive.\nAnswer: y**(-1989\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 207\/276*28\/(-6)*(-140)\/(-245)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 261681920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-20844)\/3808)\/(-9) + (400\/640)\/(-1)\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -2134*v. Let q(l) be the third derivative of l**5\/60 + 24*l**2 - 17*l. Calculate j(q(p)).\nAnswer: -2134*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of n**5\/60 - n**4\/24 - 18*n**2. Let m(y) = -y**2 + 21*y + 7. Let a(j) = m(j) + 2*x(j). Let r be a(-18). Are r and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 2*m = -16, -3*g + 5*m + 0 + 38 = 0. Let z(l) = l - 4. Let v be z(g). Solve -4*t = -3*t - v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18414 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 638? (a) 3 (b) 1\/7 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-87)\/(-116))\/(2\/24)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the first derivative of -145 + 625\/2*r**2 - r**5 - 125*r**3 + 0*r + 75\/4*r**4. Solve k(t) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = -4*a + 3711, 2*f - 1603 + 113 = 4*a. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 390, 2\/17, -3\/4, 1\/10, 58, -3.\nAnswer: -3, -3\/4, 1\/10, 2\/17, 58, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (7 - 7 - x)*(4 - 4 + x**2) - 4*x**3 + x**3 - 4*x**3 as g*x**3 + y*x**2 + p*x + w and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-17)*c**(1\/2)*(c\/(c*c**(-1\/8)*c*c))\/c*c*c*c\/(c*c**(1\/16)*c*c))**(15\/7) assuming c is positive.\nAnswer: c**(-4665\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1*((-72)\/(-32))\/(-9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -27*b**2 + 807*b - 6106. What is z(14)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2796 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -21*k**4 - 19*k**4 - 13 - 339*k**3 + 337*k**3 + 66*k - 64*k as c + y*k**2 + z*k + q*k**4 + h*k**3 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 9*t = 0. Suppose -4*m + 2*m = t. Suppose 3*l = -m*l. What is the smallest value in -0.1, 3, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-1 + sqrt(24)\/(sqrt(3) - (sqrt(27) - sqrt(243))\/sqrt(9))).\nAnswer: -5 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 54 - 49. Suppose -f*u - 10 = -0. Does u = -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1465 = 10*c - 105. What are the prime factors of c?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.158 - 128.842. Let q = z - -129.035. Round q to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -5937, -11908, -17879, -23850?\n\"Answer: -5971*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3975 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4 + -197.76.\nAnswer: -198.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 495 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of 5*p**2 + 0*p**3 + 0*p - 7\/24*p**4 + 0*p**5 - 1\/35*p**7 + 0*p**6 + 0. What is the second derivative of h(c) wrt c?\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 4*j + 4 - 24 = 0, -2*v - 8 = j. Let q be (-19)\/v - 6\/(-24). Let f be (6\/60)\/(2\/q). Is -0.1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**2 + 19*p + 3. Let z be t(17). Let x = -12 + z. Suppose -3*b + 4*q + 23 = 0, 0*q + q = 4*b - 48. Calculate the remainder when x is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and -1501.7?\nAnswer: -3003.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/3 - 8\/(-24). Let y be 21\/(-35)*20\/(-6). Suppose 4*v - 4*a = y*v + 12, 3*v - 2*a - 14 = k. Solve -5*p = -2*t - 16, v*t + 4 + 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -115 + 5*v + 117 + 5*v.\nAnswer: 10*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ndb when three letters picked without replacement from {c: 1, d: 1, b: 1, v: 2, s: 1, n: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 6 = 3*d + 4*b, -3*d - 27 = 3*b. Let o be (d + 3)\/((-1)\/2). Let v(h) = 2*h - o*h + 5*h - 4*h. Let q(p) = -p**2. Calculate v(q(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -57*f. Let u(w) = w**2 + 2*w + 2. Let n(d) = 8*d**2 + 17*d + 17. Let q(j) = -6*n(j) + 51*u(j). Give b(q(h)).\nAnswer: -171*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1159 divided by -1?\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -20, 1, 3, 4 in descending order.\nAnswer: 4, 3, 1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 20502133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 5*d - 2 = 0. What is the third derivative of 2*w**2 + 3*w**6 - 30*w**4 - 57*w**2 + 62*w**2 - 134*w**d wrt w?\nAnswer: 360*w**3 - 720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -19 in -17, -6, -5, 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 208, 67, -166, -491, -908, -1417, -2018?\n\"Answer: -46*n**2 - 3*n + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 41 - 7 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 + -1. Suppose -g + 14 + 4 = s. What is the highest common factor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*a + a - 3*a - 2)*(-3*a**2 + 0*a**2 + 0*a**2).\nAnswer: 21*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 1327 + 296*t - 1327 + (-3*t - t + 5*t)*(4 + 0 - 2) - t + 4*t + t.\nAnswer: 302*t","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: -0.1617 times 0.1938\nAnswer: -0.03133746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zdfh when four letters picked without replacement from {k: 1, f: 1, h: 1, d: 1, z: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 5 and 13.60632965?\nAnswer: 8.60632965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 152900 and 1595?\nAnswer: 4434100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -12 - (-294 + 296)) + (0 + 14 - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 6632140.7 * 2.\nAnswer: 13264281.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -289*l**2 + 657 + 1237*l**2 - 657 + 341*l**2 as y + v*l**2 + q*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 3) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -492668*x**3 + 499*x + 1?\nAnswer: -2956008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**29*o*o*o**(-1\/20))\/(o\/(((o\/(o*o**(-19\/4)))\/o)\/o)*o*o\/((o**(-6\/19)\/o)\/o)) assuming o is positive.\nAnswer: o**(5393\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -12*c**2 + 17*c + 56. Let d(i) = 4*i**2 - 6*i - 19. Let l(u) = -17*d(u) - 6*j(u). What are the prime factors of l(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 2 = 3*s - 17, -18 = -3*s + 5*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-26)\/1*(264\/60)\/22*-5\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -5121 (base 7) to base 10\nAnswer: -1779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 152 a factor of 41569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -5, 56, -29.\nAnswer: -29, -5, -2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 826357 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 AM and 1:50 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:25 AM and 9:59 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61114042 is divided by 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**3 + 8*c**2 + 7*c + 67. Let x(v) = v**3 + 6*v**2 + 6*v + 62. Let t(o) = 6*l(o) - 7*x(o). Factor t(z).\nAnswer: -(z - 4)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-750)\/(-93) - (-25)\/(75\/(-24)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 16367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 51\/(-9690)*-38*-160?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 5\/2*j**2 - 7\/2*j + 3\/2 - 1\/2*j**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 3*n - 14541, 2*b + 562 - 6388 = 2*n. List the prime factors of b.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12 in -24, -3, 2, -0.2, 65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -39 in 36, 5\/2, -4, -1, 0.33?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 47320 or 41\/15?\nAnswer: 41\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 56, -24, 15038 in descending order.\nAnswer: 15038, 56, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/16023 and -73\/270102?\nAnswer: 1890714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1156249134 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15622307.\nAnswer: 15622307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 79*n - 521 = -126 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 + 4. Suppose 2*t + i = -3*t + 30, -2*i = -10. Solve t*h + 3*r = 0, h + r = s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1270 + 1271. Let g(q) = -q**3 - q + 1. Let h(a) = -13*a**3 + 2*a**2 - 4*a + 3. Let x(y) = -4*g(y) + h(y). Give x(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 - 5*w**2 + 14*w - 8. Give r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) -264 (c) 8 (d) -2\/257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 6*q**2 - 3*q + 14. Let a be n(-14). Suppose -v = -8*v - a. Let h = v - -2290\/13. Sort 3, 0.5, h in ascending order.\nAnswer: h, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of 7*a + 0*a**3 + 0*a**2 + 0 - 1\/4*a**4. Let c(u) = -u - 3. Let f(q) = -q - 4. Let i(x) = 4*c(x) - 3*f(x). Determine i(p(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -57238 smaller than -57242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 2.42*224\nAnswer: 542.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000033885 rounded to seven decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 452319996711*m**2 + 70*m**3 - 452319996711*m**2.\nAnswer: 70*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7158 - -18679. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -153*v**3 - 20555*v**3 - 23856*v**3 - 6449*v**3.\nAnswer: -51013*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*t + 954 = 69*t + 39*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -527186 smaller than -1054369\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -7*p + 1. Let o be l(1). Let d be (-4)\/o + (-14)\/(-6). Suppose -d*b + 3*r = 0, b + 0*b = -5*r. Solve b = -7*i + 4*i - n + 1, -2*n + 2 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6.6 + -31143550?\nAnswer: -31143556.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(136) - ((-1*sqrt(136) + sqrt(136))*6 + sqrt(136)))\/(sqrt(24)\/sqrt(3)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -3813, -3637, -3461, -3285, -3109, -2933?\n\"Answer: 176*c - 3989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -185361039.4 + 1.31009.\nAnswer: -185361038.08991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 + -1. Suppose 0*i = -2*i + 2*s - 2, y*i = -s + 10. Solve -i*p + 24 = -5*o, -3*o + p = 2*o + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10 and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004571 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 2*k = -58 + 14, -4*h = -3*k + 121. Which is the nearest to -3\/11? (a) h (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -14*h**3 + 12*h**2 + 12*h. Let o(q) = -5*q**3 + 4*q**2 + 4*q. Let r(x) = 3*c(x) - 10*o(x). Find y such that r(y) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -29*m - 2*m**3 - m**2 + 56*m - 27*m + 2 as k*m**2 + z*m + r + p*m**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 + -10. Let o be (z\/10)\/((-2)\/(-20)). Let p = 141 + -136. What is the second biggest value in o, 1, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3203033130 + 133?\nAnswer: 3203033323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes before 7:28 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 6*k**3 - 48 - 13*k**2 + 17 + 29 as b*k + r*k**3 + z + w*k**2 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*i + 9*l - 10*l - 22, 2*i + 3*l + 104 - 26 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 57\/209*(5 + -4) + 5714\/22. What is the greatest common factor of i and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-5 + -11 - 0)*-8. Let o(y) = -4*y - 4. Let d(j) = -j**2 + 6*j - 5. Let c be d(6). Let x be o(c). What is the highest common divisor of t and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -155074012291 less than -3?\nAnswer: 155074012288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -18457, -18455, -18451, -18445, -18437, -18427?\n\"Answer: s**2 - s - 18457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3086)\/(-14) - 15\/35. Let g be (-4)\/14 - p\/(-35). Suppose -2*q - 644 = -g*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence runi when four letters picked without replacement from uiiunriii.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*h + 17*h + 15*h + 0 + 0 - 2*h + (0 + 3 - 4)*(2*h - 3*h + 0*h) + 2*h - 4*h + 4*h.\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3058552, 12234198, 27526940, 48936778, 76463712?\nAnswer: 110107742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2652623 or -13263119\/5?\nAnswer: -13263119\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 80 = -2*u, -4*f - f + u = -103. Suppose f*a = -a + 110. Solve -5 = -t + 5*d + a, 5*t = d + 26 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 20074 or 2\/1469?\nAnswer: 20074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*t + 5*h = -9*t - 18, 4*t - 4*h = 24. Let a be 2\/((-6)\/3)*126. Let v be 8\/6*a\/(-4). What is the greatest common divisor of v and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -6534, -26539, -59910, -106647, -166750?\n\"Answer: -6683*z**2 + 44*z + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1865768 or -1865769?\nAnswer: -1865768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the first derivative of 76*d**3\/3 - 5*d**2 + 5*d + 8. Find the second derivative of t(c) wrt c.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*a + 4*a + 10, -2*a + 9 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -11\/10 (b) -0.6 (c) 25888\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/26*((-576)\/32)\/18.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33610515 divided by 5.\nAnswer: -6722103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h - 6. Suppose 0*t - 40 = -4*t. Let l be v(t). Suppose 0 = 5*q + l*c - 9, 2*q - 22 = 5*c + 8. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3809 and 586.\nAnswer: 7618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -5539125400 to the nearest one million.\nAnswer: -5539000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*y = -0*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 + -6)*(80\/32 + -2). Put 1\/5, -455, d in descending order.\nAnswer: 1\/5, d, -455","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -1\/23319?\nAnswer: -1\/23319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -99, -509, -1193, -2121, -3263, -4589, -6069?\n\"Answer: 5*u**3 - 167*u**2 + 56*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-186 - -108 - 11) + (-2 - -24)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.2 - 0.9. Let g = 40 + -35. What is the third smallest value in -5, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22 + -25 - (1 + 1 + -13 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 250, 921, 2040, 3607, 5622, 8085, 10996?\nAnswer: 14355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 108 = -9*x - 3*f, -3*x - 60 = 3*f. Let d = x + 29. Are d and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.43*-9\nAnswer: 12.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**2. Let j(r) = 32*r**2 + 22. What is j(f(v))?\nAnswer: 32*v**4 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5069827?\nAnswer: 7, 19, 38119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes after 1:16 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7.9 + -820.1. Let m = -816.86 - u. What is m rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/24, -3, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/((d\/(d\/(d*d**(-1\/3))))\/d))**(-9) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 956 is divided by 77.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32, -59, -98, -155, -236, -347, -494?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange q**2 - q**2 + 16175*q**3 - 16575*q**3 + 2*q to c + p*q**3 + y*q**2 + k*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8*4\/12 + 8\/2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 3*o = 9, o = 4*o - 3. Suppose -4*f = -5*r - 76, 2*f + 3*f = -k*r + 58. Solve -3*n + 3*u = 12, 2*u + u - f = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -2*t**2 + 15*t - 9. Let a(f) be the second derivative of -f**3\/6 + 6*f. Let b(y) = 6*a(y) - g(y). Let d be b(11). Solve -3*j - j = d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (387 - 14\/7) + (1 - -1). What is the greatest common factor of 43 and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 390091561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 - 0. Let l(o) = 0*o + 8*o - 2*o. Let u(j) = 2*j - 4*j + 4*j. What is x*u(v) - 3*l(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 27235319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(209)*-2 - sqrt(209))\/sqrt(11)*-1 + (sqrt(57)\/(sqrt(12)\/(sqrt(4) - sqrt(4)*-1)) + 3)**2.\nAnswer: 85 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l and 1 e when three letters picked without replacement from {l: 17, e: 3}.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j**2 + 4*j - 3. Let n be i(2). Let w = -85596 - -85591. Let a(p) = 4*p**2 - 3*p - 3. Let m(k) = -7*k**2 + 5*k + 5. Determine n*m(z) + w*a(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 109, -126 in descending order.\nAnswer: 109, -4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4877.6 + -4623.43. Let o = k + -258. Round o to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7145151 a multiple of 829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -699 * 782241\nAnswer: -546786459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 0 + 7 - 74 + 79*u wrt u?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 37. Calculate the common denominator of 219\/15*(t\/(-16) + 1) and -38\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -368267\/9352 + 4\/1169. Suppose -4*i + 77 = -3*n, 244*i = 3*n + 242*i + 97. Which is bigger: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2 and 36164.\nAnswer: 36164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 30*q - 32*q**2 + 4*q - 4 - 35*q + (-2 + 2 - 2*q**2)*(4 - 3 - 2) in the form w*q**2 + u*q + f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*n + 26*n - 20 = -25*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2601 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -286 (b) -2 (c) -1 (d) -0.5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/20 and -95\/9912?\nAnswer: 49560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 55*c**4 + 12*c**2 - 770*c?\nAnswer: 660*c**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1529, -3047, -4565, -6083, -7601?\n\"Answer: -1518*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add 4399 and -1.\nAnswer: 4398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - 65 + 25. Suppose -1200 = -4*u + c, 0 = -10*c + 5*c + h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 69*f**2 + 17 + 1 - 12*f + 18 - 50*f**2 - 10. Let r be p(2). Which is greater: r or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70578560677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 301 (base 4) to base 8\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*p + 20*p + 11. Let z = -181 - -2343\/13. Is p at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 2*j**3 - j**2. Let t(w) = -15*w**3 + 16*w**2 + 1. Determine -6*a(g) - t(g).\nAnswer: 3*g**3 - 10*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + -21 + 0 - (37 + -21 - 55).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/((t**(-3)\/t)\/t)*t)\/t*t**(1\/11)\/t)**(-19) assuming t is positive.\nAnswer: t**(-1064\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1840.262 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the third derivative of -w**6\/60 + w**5\/20 - 5*w**3\/3 + 9*w**2 - 4*w. Let f be o(3). Round f to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 8\/6*1*6. Suppose -2*q = 2*k + 12, k - 4*q - u = 6. Is k + (0 - 1) - -502 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**1)**(-1\/4)*o**(-2)*o\/(o*o\/o**(-4\/5)*o))\/((o**(-1)*o**(-6))\/(o**(-3\/7)*o**(2\/3)*o)) assuming o is positive.\nAnswer: o**(617\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -92796393*o**2 + 185592799*o**2 - 92796423*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1412, -1519, -1688, -1913, -2188, -2507, -2864?\nAnswer: -3253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2630571*f*n**2 + 2*n**2 - 359929 wrt f?\nAnswer: 2630571*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.0668 and -91.\nAnswer: 6.0788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 386508, 386516, 386520, 386514, 386492, 386448?\nAnswer: 386376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: (-6 + (-6)\/(-2))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8 - 3. Solve -k*t = -9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 700*w + 207*w**3 - 700*w + (-w**2 + 2*w**2 - 2*w**2 + (w + 0*w - 2*w)*(7 - 7 - 4*w))*(-w - w + w + (-1 + 0 + 3)*(5*w + 2*w - 4*w)).\nAnswer: 222*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -3 less than -3741.7?\nAnswer: -3738.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 430536?\nAnswer: 2, 3, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:09 AM and 10:02 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -475064 + 3331991\/7. Let p = w - 933. Factor -15\/7*c**4 - 3\/7*c**2 + 6\/7*c**5 + 0*c + 0 + p*c**3.\nAnswer: 3*c**2*(c - 1)**2*(2*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -3*z**2 + 6*z + 4. Let a be o(-1). Let p be 3 - (-1 - ((-15)\/a + -3)). Solve 2*i - p*i + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-2))**(-1\/3))**(25\/3)\/((x\/(x\/(x**(-1)*x))*x\/(x*x**(2\/9)))\/((x*x\/(x\/(x\/(x**(-5)*x*x))))\/((x*x**(-6)*x)\/x*x))) assuming x is positive.\nAnswer: x**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 250*u + 15. Let h be o(1). Suppose -256*g + h*g = 63. Sort -2, 0, g in increasing order.\nAnswer: -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/11 in 4\/5, -4, 151.1, -0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2*(7937420\/40 + -15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19*n**5 + 226*n**3 - 78*n**2 - 14002*n - 32.\nAnswer: 380*n**3 + 1356*n - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 70.3 - 71.3. Let x = -0.7 - -0.7. Let l = -5 + x. Sort 4, u, l in decreasing order.\nAnswer: 4, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8146.18 - -8146. Let s be (2\/(-21))\/((-18)\/(-42)). Which is bigger: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -402 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*(9\/5*6)\/(-29 + 28096\/960).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 4*w**2. Let r(d) = -3*d**3 + d**2 - d. Let y be r(1). Is h(y) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8140536641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -21d + -2?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l - l - 2*l)*(6*l**4 - 14*l**3 + 14*l**3) + (0*l - 10*l + 0*l)*(-4*l**2 - l**4 + 4*l**2).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 225952088419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2366292 = 5*w + 448997. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = 138 - 141. Suppose 2*k + d = -y - k, -4*y + 10 = k. Factor 5\/3*f**2 - 1\/3*f**y - 7\/3*f + 1.\nAnswer: -(f - 3)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 - 2)*(128 - 35*p - 128).\nAnswer: 140*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o**2\/o))\/o)**(-2\/43)*o*o**(3\/13)*o**(2\/23) assuming o is positive.\nAnswer: o**(17540\/12857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s - h - 6, -3*h - 4 = s - 0. Let y be 0\/8 - s\/(-1). Is y*74\/6*-3 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 1 = -b. Suppose -7*w - b*d + 6 = -2*w, -4*w - 5*d + 15 = 0. Solve w = n - 3*a, -a = -n + 3*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0 - -1) + 4 + -1. Let h = 34 + p. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 5 = 3*k, 11*p = 2*k + 6*p + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 10767306581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 473869 = 49*y + 43*y - 908983. What are the prime factors of y?\nAnswer: 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-970)\/679 + 8*(-20)\/(-112)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1955? (a) 0.5 (b) -3\/4 (c) -1\/4 (d) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 17603 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 4 = -3*i + 5, -4*v + 23 = 5*i. Suppose 3*y = 5*p + 3293, 0 = v*y - 16*y - 5*p + 4379. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -a + 1246. Suppose 0 = -0*l - 6*l + a. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 2 + (4 + 4 + 2)*(1 + 1 - 1))*(-2*w - 3*w + 4*w)*(20*w - 33*w - 14*w).\nAnswer: 297*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 224 = -61. Suppose i - 12 = -3*q + 148, -4*i = 3*q - y. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 2*l**2 + 2*l + 1. Let q be r(-1). Let j be (q + -5)*(-5)\/(-30). Which is the second biggest value? (a) -2\/15 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -87 - -308?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {q: 3, k: 6, u: 1, o: 1, r: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -51*((-3 - -1) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 254502 divided by 127251\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the third derivative of -13*r**9\/504 + r**5\/10 - 7*r**2. Find the third derivative of y(z) wrt z.\nAnswer: -1560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.3 + -32458\nAnswer: -32456.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**3 - 8*u**2 - 9*u + 35. What are the prime factors of b(10)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6303258?\nAnswer: 2, 3, 13, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5024, -10050, -15076?\nAnswer: -20102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 584872492.43599796 + -584872483. Let a = d - 58.43598906. Let k = -49 - a. Round k to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6350 = 344*x - 2594 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 4}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 88 and 898\/8 + (41\/123 - (-7)\/(-12)).\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f\/f**(19\/2))\/(f**0*f))\/((f\/f**(-4))\/f)**(-42) assuming f is positive.\nAnswer: f**(319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 18571054*r**3 - 2447387.\nAnswer: 55713162*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000083624 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1088) + (-4 + -1 + sqrt(1088))**2 + sqrt(1088) + sqrt(1088).\nAnswer: -56*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 6 + 5)*(472*j**2 + 17*j**3 + 75*j**3 - 472*j**2).\nAnswer: 644*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -5*m + 13. Let z(w) = -62*w - 184. Let d be z(-3). What is g(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 21454, 42908, 64362, 85816?\n\"Answer: 21454*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**3 + 2*u**2 - u - 1. Let q be w(-2). Let p(d) = d**3 + 4*d**2 - 2*d - 6. Let c be p(-4). Suppose c*s - q = 21. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3\/55660 or -1?\nAnswer: -3\/55660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-2 + 4 - 40\/16)*61\/((-1159)\/190)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 4937 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-42) + -1 + 18\/21\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -46\/21 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -53, -45, -37, -29?\n\"Answer: 8*k - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*p**2*q**2*t + 2*p**2*q*t**2 + p**2*t**2 + 39*p*q**2*t**2 - 3*p*q**2*t + 2*p*t**2 wrt p.\nAnswer: 4*q**2*t + 4*q*t**2 + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14116, -28207, -42298, -56389?\nAnswer: -70480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -99 divided by -1551967?\nAnswer: 99\/1551967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 1, 5, 2\/3, -178 in decreasing order.\nAnswer: 5, 1, 2\/3, -0.4, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -106 + 106. Suppose 16*a - 34 - 158 = f. Calculate the remainder when 189 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2518, -4496, -6472, -8446, -10418?\nAnswer: -12388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -23809119\/17 or -1400537?\nAnswer: -23809119\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add 1.4 and 14603595.\nAnswer: 14603596.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 6 - 29 + 15 + 9 + 81*f**2 in the form u*f**2 + b + q*f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 - -1111101100011?\nAnswer: 1111101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17760 - -18255. Put -3, u, 3 in ascending order.\nAnswer: -3, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/784*14)\/(-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -83*h + 14*h**2 + 175*h - 89*h - 45*h**2 + (-h + 0*h - 2*h)*(-2*h - 4*h + 5*h).\nAnswer: -28*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nntb when four letters picked without replacement from {q: 3, n: 3, t: 2, b: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -437 - -460. Suppose 0 = 18*u - j*u - 2*k + 4, 12 = -4*k. Solve 5*o + 16 = x, -u*x + 0*x = 2*o + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 + 14*i**2 + 11*i + 12. What is c(-13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1*6\/(-2) + (-18)\/6. Let r be 2 - 5 - (-36)\/(1 - l). What is the highest common factor of 297 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kb when two letters picked without replacement from {b: 2, w: 1, g: 1, d: 1, n: 3, k: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**2 + 17*a - 23. Let m be s(14). Solve -4*w = -m + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o - 1. Let p = 5 - 3. Let q(s) = 3*s - p*s + 1 + 3*s. Determine q(m) + 2*t(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-12)\/(-20))\/(42\/210). Let u = 0 + 15. Which is the smallest value? (a) u (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 118*j + 3*n - 10 = 114*j, 26 = 24*j + n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 18404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Do -65\/29726 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 173643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11276 + -11278. Sort -25\/2, 5, 4, r in decreasing order.\nAnswer: 5, 4, r, -25\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -7, -1, -0.8, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, -0.5, -0.8, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.11515 rounded to three decimal places?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6697.366 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -13 in 763, 1\/172, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24962*l + 24962*l + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-42)\/(-12)*(-81)\/6*(-3)\/(153\/68)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 4 + 3)*(-9 + n + 9).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 11\/((-55)\/(-20))*(-6)\/8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**2. Let p(h) = -14856*h**2 - 14391*h**2 - 2 + 30073*h**2. Calculate m(p(k)).\nAnswer: -682276*k**4 + 3304*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 4a9 (base 12) to base 10\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 246215 and 9660?\nAnswer: 20682060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -11321b9 - -1?\nAnswer: -11321b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y + 98 = 18. Suppose 0 = -3*r + 8*r - y. Solve 2*t = 4*a - 8, a + r*a - 11 = -t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1\/5, -3, 3\/7, -2, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*l - 19 - 17 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-5)\/(1 + 7\/(-2)). Let m(s) = -s**2 + 8. Let z be m(0). What is the greatest common divisor of j and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 307302913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 210860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(315)*-1 + sqrt(315) + sqrt(315)) + sqrt(315))\/(sqrt(20)\/sqrt(4)*-5) + sqrt(504)\/((sqrt(64) + sqrt(64)*1 - sqrt(64))\/sqrt(8))*-3.\nAnswer: -42*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:15 PM and 5:47 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11.85 - 0.15. Let j = 136\/21 - 36\/7. Which is the fourth biggest value? (a) k (b) 3 (c) -2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 99*m = 34*m + 161 - 941 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = p - 39, 2*p + 0*p + 41 = 3*m. Calculate the remainder when 101 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 25 + -115. Let b = f + 79. Let r(j) = -j**3 - 10*j**2 + 11*j - 6. What is r(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1111.21268 rounded to zero dps?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d**2 - 6575*d - 13142 = 0. What is d?\nAnswer: -6571\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 31404283 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4a + -7?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 95148 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be 54\/(-3*(-4)\/8 - 3). Let h = i - -29. Let b(n) = -n - 10. Calculate b(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -193439013 divided by 2.\nAnswer: -193439013\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 42\/24 + -2 - ((-105)\/(-36) + -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -10011001111000 (base 2) to base 15\nAnswer: -2db8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 2*f - f = 0, 4*q = 4*f. Let o = 11 + 20. Let a = q + o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.31 - 1.39. Let z = o - -0.08. Which is the third biggest value? (a) 0.2 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 8*u - 5. Let j(g) = 15*g - 9. Let z(r) = 6*j(r) - 11*y(r). Suppose -3*b + 45 = 3*q, -4*q = -3*q + 4*b - 18. Suppose q = 127*a - 134*a. Give z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -85\/324 and -25\/56214.\nAnswer: 112428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 + (2 - 3))*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 172 + -72. Let y be (x\/6)\/(20\/30). Suppose -u + 18 = -y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*n**3\/2 - 13725*n**2\/2 - 7845552*n + 7852416.\nAnswer: -3*(n - 1)*(n + 2288)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 173331017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 141 + 1267 = 128*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 347 - 893 = -z. Let k = 825 - z. What are the prime factors of k?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 68\/29 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -162*c**2\/17 + 1800*c\/17 - 5000\/17.\nAnswer: -2*(9*c - 50)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the first derivative of -b**2\/2 - 2*b + 139. Give a(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 2 r, and 1 x when four letters picked without replacement from {q: 1, r: 5, x: 1, g: 1, h: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*c - 0*c. Let p(f) = f**3 + 8*f**2 + 4*f + 3. Let s be p(-7). Find d such that 2*d**3 - 4 + 4*d + c*d + 6*d**3 - 14*d**5 - s*d**4 + 28*d**2 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, e: 1, x: 1, q: 1, z: 1}. Give prob of picking 1 z and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6125050*w**6 - 10*w**2 + 17999*w + 6 wrt w.\nAnswer: 735006000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 30*f**2 - 64*f + 34.\nAnswer: 2*(f - 1)*(15*f - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * 75076.59\nAnswer: -15015.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 946897726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -22 - -12. Let r = i - -16. What is the closest to 1\/4 in r, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -5, 20, 75, 166, 299, 480, 715, 1010?\n\"Answer: x**3 + 9*x**2 - 9*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 0 - 6*l + 6*l + 6*l**3 to the form u*l + i + v*l**2 + d*l**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 9*t - 4. Let h be (6\/8)\/((-12)\/(-16)). Let j be q(h). Solve -j*l + 4*a = -15 - 6, 2*a + 9 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 35895665 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -421435 - 1?\nAnswer: -421436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 17710009 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 2*a - 4. Let q be b(-4). Let y = -2.5 - -2.3. Put 1\/2, y, q in decreasing order.\nAnswer: 1\/2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(300) - (-5 + (sqrt(300) - sqrt(300)*-2))) + -2 + 3 + sqrt(300) + -4)**2.\nAnswer: -40*sqrt(3) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11656830 is divided by 713?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 809272.6 millilitres?\nAnswer: 809.2726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 0 + 5)*(1 + 1 - 1)*(-4*l**3 - 2*l**4 + 4*l**3) as n*l + a*l**2 + r*l**4 + z*l**3 + x and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -2, -6\/11, -3, 2\/9007?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 19 - (108 + -82 + 27)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -89, -217, -439, -761, -1189?\n\"Answer: -i**3 - 41*i**2 + 2*i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 21811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 56 + (150\/(-875))\/(28\/(-980))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 193417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -11676\/5665?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -71? (a) 0.4 (b) 0 (c) -12.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 502378 is divided by 167452.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -274*r**2 + 5*r + 2. Let d(k) = k - 10. Let s be d(7). Let w be z(s). Let m = -12446\/5 - w. Calculate the common denominator of m and -8\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**3 + 13*t**2 + 14*t + 28. Let u be o(-12). Let l(f) = 2*f**2 + 15*f + 13. Let g be l(-7). Solve -u*r = -r + g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 - 85fea?\nAnswer: -85fe8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 133, 227, 265, 241, 149?\n\"Answer: -i**3 - 22*i**2 + 167*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16, -31, -50, -73, -100?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 11 - 27*v**3 + 1 + 0*v**2 + 8 - 28 - 13*v**2 wrt v?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4.92 + 315.374.\nAnswer: 310.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 + 66*v**2 - 78*v + 842. What is t(65)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1397381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (((-5445)\/(-308))\/(-15))\/(1\/288). Let j = b + 340. Suppose 5\/7*c + j + 1\/7*c**2 = 0. What is c?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -126940 to the nearest 1000.\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -7? (a) -0.8 (b) 3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 15328, 12654, 9976, 7294, 4608, 1918, -776?\n\"Answer: -2*c**2 - 2668*c + 17998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1328\/7 - 4\/(-14). Suppose 7*p = 2*p + l. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**2 - 19*o - 10. Let n be a(20). Suppose 2*t + 2*f - n = t, 5*t - f = 6. Solve 3*p + 4*u - 7 - 4 = 0, u = -t*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 3*g + 26. Let i be l(-10). Let w be 2\/9 + 129\/27. Suppose -2 = 2*u - 4*h, u - 5*h + 3 - w = 0. Which is greater: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -90478121.9 to the nearest 100000.\nAnswer: -90500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1356021622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 177, 143, 121, 117, 137, 187?\n\"Answer: r**3 - 41*r + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 3*u = -6, 3*q - 1 = u + 1. Suppose 0 = -q*x - 2*x - 3*k + 3, 0 = -5*x + 3*k - 3. Solve -i + c = -4*c - 29, x = -5*i + 2*c + 30 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -2*o**2 + 89*o - 207. Calculate the least common multiple of 1661 and c(42).\nAnswer: 4983","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -4*i**2 + 2*i. Let k(s) = s**2 - s + 1. Let c = 20 - 19. What is c*d(t) + 2*k(t)?\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 31.6062 kilograms in nanograms?\nAnswer: 31606200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 19113392 to the power of 1\/2, to the nearest integer?\nAnswer: 4372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of -z**5\/60 + z**4\/4 + z**3\/2 + z**2. Suppose 65*x - 14*x = -79*x + 650. Give f(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1675b (base 13) to base 3.\nAnswer: -2011222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, 2, -383, -125 in decreasing order.\nAnswer: 3, 2, 0, -125, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 181777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q + 1. Let l = -257 + 261. Let g(r) be the third derivative of r**4\/24 + r**3\/2 + 2*r**2 + 3. Calculate l*c(i) - 2*g(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + 5 = -5*p, 5*p - 12 = 3*p + 5*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 305 = -4*l + 237, 2*z - 410 = -3*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10670888 or 10670892?\nAnswer: 10670888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -6235740 + 14?\nAnswer: -6235724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -22*g + 12 - 2*g**3 + 13*g**2 + 3*g**3 - 26*g**2. Let w be p(15). Let m = w + -60. Is m a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (3 - -2) + -7 + 7. Solve -2*l - 14 = 6*q - 2*q, -l - 19 = u*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*2*(-6)\/(-18450)*15.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = -8 + 63. Suppose -3*z + 4 = -y. Solve 0 = 3*n + 1 + z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3702655224 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 23687 - 524?\nAnswer: 23163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rnwwbwbhrnbnkwrkb. What is prob of picking 1 n, 1 k, and 1 r?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1571886 rounded to the nearest ten thousand?\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-856)\/16 - (1 + 1\/2). Let n = g + 57. Let m(o) = -o**3 + 0*o**3 + 10*o**n - o + 0*o**3 + 2 - 9*o. Determine m(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 266*h + 1390. Let k be n(-5). Solve -93*x - k = -81*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 498638 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14473968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be -6 - (-671)\/110 - (-111)\/(-150). Let l be 4*(-3)\/((-1350)\/(-403)). Let m = l + j. Do m and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-127)\/(32004\/(-336)))\/(-18)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 105801596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 o, 1 a, and 1 w when four letters picked without replacement from {a: 5, n: 4, x: 1, w: 2, o: 2}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 + 2 - 8 - 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + 2*r - 2*f = 770, -3*f = 3*r - 1155. Let s be (4 - r\/(-20))*80. What is s rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-18)\/(-4) + ((-36)\/(-21))\/((-28)\/98)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25356253 and 7267.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 47354507 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 14 = -5*c. What is the lowest common multiple of c and 19?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1030*t**4 - 55*t + 15?\nAnswer: -12360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -24417*r = -5*p - 24420*r + 42, -4*p - 56 = -4*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -518 = -5*c + 2*l, 498 = 5*c + 14*l - 11*l. Is c a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 509, 5300, 19263, 47288, 94265, 165084?\n\"Answer: 815*z**3 - 304*z**2 - 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7590 is divided by 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 272 >= 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qdjqdawddwajq. What is prob of picking 3 q and 1 d?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4900 + -2801. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47176062 divided by -1?\nAnswer: -47176062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -22021514 (base 6) in base 15?\nAnswer: -ce657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*f**3 + 1457*f**3 - 103*f**3.\nAnswer: 1298*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11716 is divided by 126.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 84*p + 83*p - 3)*(-2*p + 4*p - 4*p).\nAnswer: 2*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the second derivative of 3*w**4\/4 + 3*w**3\/2 - 7*w. Let m(c) = 2*c**2 - 6*c - 7. Let r be m(5). Let h(z) = 4*z**2 + 4*z. Determine r*h(q) - 6*n(q).\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 84546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < -1\/3103052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(2\/21)*h*h\/h**(-16))\/(h**11*h**(-1\/11)\/h) assuming h is positive.\nAnswer: h**(2078\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -23*1.30598\nAnswer: -30.03754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 103, 69, 7, -89, -225, -407?\n\"Answer: -l**3 - 8*l**2 - 3*l + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**2. Let s(i) = -6*i + 2*i - 10 + 0*i - 5*i + 5*i. What is s(j(p))?\nAnswer: 4*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + 8 + (1 - (7 + 19)) - 17?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 2. Let h = u - -1. Let c(l) = 2*l**2 - l + 5. Let k(z) = 2*z**2 - 2*z + 11. Let y(b) = -2*c(b) + k(b). Give y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -163*i + 2*r = -158*i - 1, 0 = 8*i - 2*r - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -64318, -530881, -1797268, -4263391, -8329162?\n\"Answer: -66652*f**3 + f + 2333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 169 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 27867671 * 0.2\nAnswer: 5573534.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 117 + -3 + 124 + -167?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8\/559 or 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1185411376 + -492?\nAnswer: -1185411868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 342353 + -342356. Let t be (3 - 1) + (-4)\/3. Which is the nearest to -0.3? (a) t (b) -23 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -391, -281, -127, 89, 385?\n\"Answer: 3*g**3 + 4*g**2 + 77*g - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**3 + b**2 - 36*b + 53. Give y(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72)\/(sqrt(4)\/sqrt(2)))\/sqrt(3))\/(sqrt(600) - sqrt(600)*2*6 - sqrt(600)).\nAnswer: -sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 60 = 15*b. Solve -3*z + b = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19660907 is divided by 9572?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96846857?\nAnswer: 19, 263, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2510\/3 + -836. Which is the nearest to x? (a) 2 (b) -2 (c) 436 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**3 + 36*h**2 + 36*h + 36. Let d be f(-35). Put -2, d, 16 in descending order.\nAnswer: 16, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 10 = -5*p, 0 = 3*z + 3*p - 7 - 17. Solve -2*j - 4*y + 6 - 16 = 0, z*y = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 3*z**2 - 6*z. Let o(s) = -23 - 3*s**2 + 5*s + 23. Let h(v) = -5*i(v) - 6*o(v). Let p(a) = -2*a. Calculate h(p(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2.7 - 0.7. Which is the third biggest value? (a) l (b) 0.2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 639 minutes before 8:28 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0025065634 to 6 decimal places.\nAnswer: -0.002507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1232 (base 4) to base 9\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -47123 or 14\/83?\nAnswer: -47123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 270703\/28 + -9666. Calculate the common denominator of p and 8\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 111 + -56 + -78 - 24.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: d3 (base 15) to base 16\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 921406, 3, -5 in decreasing order.\nAnswer: 921406, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -56883, -113762, -170641?\n\"Answer: -56879*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8\/2*(-119637)\/(-756)?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/2 and -49\/46272?\nAnswer: 46272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -2*sqrt(180) + 5 + 0 + sqrt(180)*-2 + sqrt(180) + -5)**2.\nAnswer: 180*sqrt(5) + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/2)\/((-12)\/48). Suppose i*t = -0 + 24. Suppose -t*r + r = 5. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 244941 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 15*x**3 + 6*x**2 - 10 + 4*x**4 + 3*x**2 - x**4 - 2 - 19*x + 4*x.\nAnswer: 3*(x - 1)*(x + 1)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12357204 is divided by 445?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 279*d**3 - 5*d**2 - 12*d - 5. Is c(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 + 576 = 68*k - 265 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1619 - 9715\/6. Is 1 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5027 + 6198. Calculate the remainder when d is divided by 236.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -5, -8, 8 in decreasing order.\nAnswer: 8, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 358?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d + 3*t - 21, 4*d - 38 + 13 = -t. Let k(b) = 5*b**3 - b**2 - 22*b + 12. Is 42 a factor of k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14 - (49 - 5)) + (16 - 22).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the first derivative of 7\/3*p**3 + 18 + 1\/4*p**4 + 4*p + 7\/2*p**2. What is t(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 22*p**2 - 110*p - 145. Give g(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aw when two letters picked without replacement from {v: 2, w: 2, x: 1, r: 2, g: 1, a: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 824845 is divided by 274911?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 37957285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be (13\/(-2) + 3)\/((-6)\/12). Put -5, q, 3 in descending order.\nAnswer: q, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1\/5, 17, -0.062.\nAnswer: -1\/5, -0.062, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2069, -2071, -2073, -2075, -2077, -2079?\nAnswer: -2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.502 - 0.102. Let d = 7 + -5. Is d bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, f: 1, l: 1}. What is prob of picking 1 f and 2 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = m + 248, -p = -2*p - m + 130. Suppose -7*h + p = -119. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2075022011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*c**2 + 1 - 1 - 2*c**3)*(-3*c + 14*c + 8*c) to the form n*c**4 + x + t*c**3 + q*c**2 + h*c and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -5728.398 rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 180, 364, 546, 726, 904, 1080?\n\"Answer: -c**2 + 187*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 129\/308 and 25\/87804178.\nAnswer: 175608356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sssb when four letters picked without replacement from sssbssbsbs.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add -1 and 571855020.\nAnswer: 571855019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c = c + 72. Solve 0 = 3*y + c + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -25 + 27. Let j(t) = -2 + 0*t + 4 - t. Let b be j(o). Is 1\/7 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 22 = -5*q, -2*x - 3*q - 18 + 5 = 0. Let y be (3 - x - -1) + 2. Suppose -y*f + 51 + 29 = 4*o, 0 = -3*o + 2*f + 60. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d**2 + 2*d - 1. Let t = -108 + 112. Let i(y) = -2*y**2 - 2*y + 1. What is t*f(j) + 3*i(j)?\nAnswer: -2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {z: 1, x: 1, r: 9, c: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(5\/(-30)*6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114 is divided by 90.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-570)\/20)\/(1\/((-6)\/1)). Suppose 27*h - a = 720. Calculate the remainder when 195 is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, 9, -38, -46 in ascending order.\nAnswer: -46, -38, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*c**3 + 2*c**3 + 2*c**3)*(0*c + 2*c - 4*c) to the form h*c**2 + y*c + j*c**4 + f + r*c**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 938 and 10402?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*t**2)*(t**2 - t**2 + 2*t**2) + (0 + 8 - 4)*(2 - t - 2)*(3*t**3 - 4*t**3 - t**3).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20.15 - 17. Let m = j + 0.25. Let f = m - 3.3999871. What is f rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q - 11 = -5*l, -5*q + 7 - 24 = -2*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes after 8:21 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -793 + 5980 + 5720 = -343*f - 9673 for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the third derivative of -w**7\/5040 + w**6\/360 - w**5\/60 - 65*w**4\/12 - 20*w**2 + 1. Let k(g) be the third derivative of d(g). Give k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 46943 and 399094?\nAnswer: 119329106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 628 + 552 = 18*y - 332. Let s(c) = -32*c - 1. Let j be s(2). Let d = 121 + j. What is the highest common divisor of y and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 26696.2 + -32046. Round k to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 392 = -3*s, 262 + 122 = 2*g - s. Suppose 5*u = g + 80. Let h be u + 0 + 2 - 0. Calculate the highest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 76*h**3 - 7*h**2 - 7*h. Let y(b) = 51*b**3 - 5*b**2 - 5*b. Calculate 5*k(z) - 7*y(z).\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.05 + -0.25. Let o = 11\/9 + -50\/63. Sort i, o, -0.2 in descending order.\nAnswer: o, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand m**2 + 4*m - 4*m + (-2 + 2*m + 2)*(4 + m - 4) + (-3*m + 4*m + 0*m)*(6*m - 4*m - 4*m) + 6*m**2 + 3*m**2 - 5*m**2 + 7*m**2 + m**2 - 4*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -316 divided by -79.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-4\/19)*x**3 assuming x is positive.\nAnswer: x**(53\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 57 a factor of 724356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 11500667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (274\/3)\/(6\/9). Suppose -12 = 5*s - b. Let j be (-95 - -81)\/(21\/(-30)) + 5. Calculate the greatest common factor of j and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**2\/5 + 29*a\/5 - 78\/5.\nAnswer: -(a - 26)*(a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract 176 from -0.0612184.\nAnswer: -176.0612184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 84, 171, 258, 345?\n\"Answer: 87*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4532241799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 39 and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 35.28, -0.04, 4\/7 in descending order.\nAnswer: 35.28, 4\/7, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -23476 times 0.0634\nAnswer: -1488.3784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -159, -508, -1061, -1818, -2779, -3944?\n\"Answer: -102*i**2 - 43*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 5*r - 10, 7*r - 2*r = -3*f + 10. Suppose 11 = r*d - 9. Suppose 2*m - 3*m + 50 = 0. Calculate the greatest common divisor of d and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 11:01 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 3*m = 3566, -4*c + 2430 + 4666 = -3*m. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the first derivative of 4\/5*m**5 + 0*m**2 + 0*m**3 + 2*m + 3 + 0*m**4. Find the first derivative of o(l) wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001396308 rounded to 5 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 11.70179 litres to millilitres.\nAnswer: 11701.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/3*(-13)\/(312\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b\/(b*b**1)))**(-4\/5))**(15\/4)\/((b**1)**(-12)*b**(-5)*b**(-2\/7)) assuming b is positive.\nAnswer: b**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -120 + 121. Sort -2, 0, -198, b in descending order.\nAnswer: b, 0, -2, -198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -4*d**3 - d**2 + d + 1. Let j be y(-1). Suppose 4*v - 164 = -j*h, 2*h + 5 - 51 = -v. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/(-28))\/(6\/(-12)). Suppose 84*z - 56*z = 56. Let i = -2.1 - -0.1. Which is the nearest to s? (a) i (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.26 + 0.03. Let r = 0.98 - 0.41. Let x = r + p. Round x to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13609, -27223, -40837, -54451, -68065?\nAnswer: -81679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 3*u - x + 2360 = 0, 2*u - 4*x = 4702. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -4*l**2 + 4*l + 10. Let g(y) be the first derivative of y**3\/3 - y**2\/2 - 3*y + 2. Let s = -6 - -10. Give s*k(c) + 14*g(c).\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 223*j + 8. Let d be g(-1). Which is smaller: -214 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 648402265.\nAnswer: 5, 7, 19, 53, 18397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -1447660 (base 8) to base 2.\nAnswer: -1100100111110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.27 + 34.27. Is f at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q + 4. Let r be c(-3). Let y(h) = 0 + 4*h + 0 - r. Suppose j - 13 = 5*d, 0*d - 5*d = -3*j - 1. Let p(l) = -l + 2. What is j*p(n) - 2*y(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 2 q when four letters picked without replacement from qffffqefcecefqe.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 8+-4901\nAnswer: -4893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2387280 and 65856?\nAnswer: 9549120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -749 (base 11) in base 14?\nAnswer: -484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/9 + 223\/9. Suppose -w = 48 - 218. Suppose -h = a - 198, a = 2*h + 34 + w. Calculate the greatest common divisor of b and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -239626, -479244, -718862, -958480?\n\"Answer: -239618*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 744*h - 1471. List the prime factors of c(19).\nAnswer: 5, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -496068, -1984240, -4464532, -7936944, -12401476, -17858128?\n\"Answer: -496060*l**2 + 8*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 153 + -179.4. Let m = y + 167.4. Let f = m + -134. What is the second biggest value in -1\/5, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert fc (base 16) to base 2.\nAnswer: 11111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1688 - -1689.5. Does -12 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1066689, 2133167, 3199645, 4266123?\n\"Answer: 1066478*k + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -p - 12. Let y be 3\/3*p - 9. Let v = -5 - y. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjns when four letters picked without replacement from ssjnjnsjsjnjssjsn.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the third derivative of m**5\/60 - m**4\/24 + m**3\/6 - 15*m**2 + 10*m + 12. Let w(c) = 4*c**2 - 4*c + 7. Determine 6*u(x) - w(x).\nAnswer: 2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 3 + (-4*(sqrt(104) - (sqrt(104) + sqrt(104) + sqrt(104)*2)))\/sqrt(8) + (-2*sqrt(65)*4)\/sqrt(180))**2.\nAnswer: 64*sqrt(13) + 13393\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2112 and 1600.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 128 + -139. Put -4, -2, a, 5 in increasing order.\nAnswer: a, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of l**7\/70 - l**6\/40 + 11*l**5\/30 + 95*l**2. What is the third derivative of c(w) wrt w?\nAnswer: 72*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes before 4:49 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/(-6)*(2 + -1544) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9 and 11934?\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5585 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 34*j**6 + 89*j**4 - 3*j**2 + 184*j + 8 wrt j?\nAnswer: 4080*j**3 + 2136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-21)*-2643 + (-6)\/(-21). Suppose -4*p = -0*p - q. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.04 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that 8*o**3 + 60*o**2 + 24*o - 28 = 0.\nAnswer: -7, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -998*i**2 - 76*i - 7. Let w(j) = -500*j**2 - 34*j - 3. What is -4*s(t) + 9*w(t)?\nAnswer: -508*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l**4\/6 + 799*l**3\/6 - 61*l**2 = 0. What is l?\nAnswer: 0, 6\/13, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1814734302 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:25 AM and 3:00 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 88*v**2 + 529*v + 5. What is l(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 20888188 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b - 44 + 371. Let f be 22*(267\/54 + 0). Let v = f - b. Put -1, 0.1, v in descending order.\nAnswer: 0.1, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 7*r + 2*r + 32 = 0, s + 2*r - 11 = 0. Suppose s*c = 4*c - 62. Let t = c - -201. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1973942 + 30?\nAnswer: 1973972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -1084*v**2 + 16*v - 16. Let n(w) = -361*w**2 + 5*w - 5. Determine -16*n(k) + 5*s(k).\nAnswer: 356*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -2*v + 102416. Let z be (194\/(-2))\/(2\/v). Let q = z - -2281794. What is q rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6776 and 1483724.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -3*c**2 + 310*c - 126. Calculate q(103).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = -3*h - 0*m + 22, 5*h = -m + 46. What is the remainder when 29 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 561, 560, 559, 558, 557?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -77\/1054 and 97\/248.\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + (-69)\/(-45) - ((-70)\/(-21) - 3). Let i be ((-6)\/(-15))\/((-3)\/5). Which is the nearest to 1? (a) -2\/13 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - -4a97a57?\nAnswer: 4a97a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00268299 to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 23 + -20. Suppose y = t*y - 80. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -v**5 + 8873*v**3 + 281486*v**2 wrt v?\nAnswer: -60*v**2 + 53238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**2 + 5. Let i(r) = -r**3 - r**2 + 3*r - 12. Let f be i(-4). Let h(m) = -3 + f - 17. What is 5*h(a) - 4*n(a)?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -134 + -112304?\nAnswer: -112443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 776 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*x**3 + 5*x**3 - 3*x**5 + (5*x**2 - 3*x + 3*x + (2*x**2 - x + x)*(-4 + 1 + 2) + x**2 + 0*x + 0*x)*(4 + 3*x**3 - 4).\nAnswer: 9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 - 2*g**2 - g + 5. Let w be f(5). Suppose -4*v = -53 - w. Let r = v + -22. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1798, 7205, 16226, 28867, 45134, 65033?\n\"Answer: q**3 + 1801*q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 14 = 18. Let h be (c - -43)*(-4 - -3). Which is smaller: -42 or h?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/3 and 21\/2280758654.\nAnswer: 6842275962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 702 - 669. Calculate the remainder when (2 + -1)*4 - k\/(-3) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -4*u - 12. Let j(b) = 3*b + 11. Let q be j(-8). What are the prime factors of t(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z + 5*z = 5*p + 6815, -5*z = 20. Let w = p + 4112\/3. Factor -2\/3*v + 13\/3*v**2 - w*v**3 + 0.\nAnswer: -v*(v - 1)*(11*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a + 3. Suppose 4*r + 16 = -0*r. Let c be i(r). Suppose -c*b = -6*b. Solve -8 = -5*q - 4*f + 8, 2*f + 2 = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2 (b) -1\/8 (c) 42 (d) 5282 (e) 1\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 - -11. Which is the smallest value? (a) 0.2 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x**(4\/11)*x*x*x)\/x**(-10\/3)*(x\/(x**(-7)*x))**(-1\/15) assuming x is positive.\nAnswer: x**(1358\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 0.4 (b) 4 (c) 0.1 (d) -2 (e) 5 (f) -8 (g) -3\/25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -88.84 + -5.26. Let c = a + 93. Let j = c + 23.1. Put j, -5, -1 in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -d*q**3 + 250*d*q**2 + 93*d + 3*q**3 wrt q.\nAnswer: -3*d*q**2 + 500*d*q + 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9725545 is divided by 3241846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -2.6 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 435*j + 28 = -5*m + 433*j, 5*j = 4*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, r: 1, p: 1, i: 4, e: 2}. What is prob of sequence ripg?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 + 38*c**2 + 43*c - 135. Calculate d(39).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16373 and 4140030?\nAnswer: 28980210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 2*u - 5*u + 2*u. Suppose -4*p - 3*f + f = -1440, -f + 4 = 0. Let j(m) = 187*m - p*m + 185*m. Give q(j(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the first derivative of -2*n**3 + 67 - n**2 - 21*n**4 - 8*n**6 - 2*n**3 + 21*n**4. Find the third derivative of r(f) wrt f.\nAnswer: -2880*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 - -1. Let t = c + 18. Calculate the remainder when 26 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -26*i - 1095. What is u(-49)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-84)\/(-26) - 165\/715\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-3)\/2)\/(6\/(-16)). Suppose 519*c - 512*c + 28 = 0. What is the fourth smallest value in h, c, 0.4, -5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 557848073, 557848076, 557848081, 557848088?\nAnswer: 557848097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (21 - 31 - (-13 + 0)) + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 190 - 476 = 2*j. Let w = 251 + j. Suppose -o + w + 39 = 4*n, -2*o - 66 = -2*n. Is 35 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31196 minus 205378?\nAnswer: -174182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -4*d**2 + 13*d + 3. Let y(i) = -3*i**2 + 12*i + 4. Let f(l) = -4*m(l) + 5*y(l). Let o be f(-8). Solve 0 = -o*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/36 - (-2 - 61\/(-33)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, n: 1, f: 2, e: 1, o: 1, m: 1}. What is prob of picking 1 o and 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -2*f**2 - 287*f - 5685. Give a(-23).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 5 + 22 = -5*d, 8 = -d + 5*l. Let z = -62 + 71. Suppose 0 = z*c - 25*c + 48. Sort d, -4, c in descending order.\nAnswer: c, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -6*v**2. Let x(g) = -5*g**2 - g - 1. Let m(c) = -6*n(c) + 5*x(c). Let r(l) = -6*l**2 + 3*l + 3. Give 3*m(q) + 5*r(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 6*m + 50 = 0. Suppose -q = -2*q - m. Let a be ((-24)\/(-16))\/((-1)\/q). Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 6 - 2 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12664 is divided by 4215.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 11797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 77 + 7 + (-615780)\/7260?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((52745\/550)\/(-137))\/((64\/336)\/((-10)\/(-7))).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68*b + 7373 = -3099. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -22, -77, -214, -469, -878, -1477, -2302?\n\"Answer: -6*z**3 - 5*z**2 + 2*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-27)\/21)\/(-3))\/((204\/(-17))\/(-1008))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 310470.5 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - c**2)*(2 - 2 - 3*c) + (2*c**2 - 4*c**2 + 0*c**2)*(-2*c + 0*c + 0*c) + (-2 + 2 + 2*c)*(2*c**2 - 4*c**2 + c**2).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 30 = 3*c, 2*w - 1 = 4*c - 5. Solve -m - 15 = -w*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 0.31 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -72, -93, -114, -135, -156, -177?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the second derivative of r**4\/12 + r**3\/3 - r**2 + 4*r + 15. Calculate q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 97080849.\nAnswer: 3, 571, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from phfhffdhffpzdhphff?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2313 - -30?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 5*g**3 - 11*g**2 + 6*g. Let f(h) be the first derivative of h**4 - 10*h**3\/3 + 5*h**2\/2 + 160. Determine 6*f(y) - 5*w(y).\nAnswer: -y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -104.1 + 104. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11329 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: In base 6, what is -52225 + 0?\nAnswer: -52225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5c + 0?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36824, 36660, 36496, 36332, 36168, 36004?\nAnswer: 35840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Calculate -247*-102.302.\nAnswer: 25268.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -9 times -0.533?\nAnswer: 4.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1544*o**2 - 74169*o - 1542*o**2 + 74169*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -76\/3 and -44\/339.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -97*s + 2910*s**3 - 2948*s**3 - 8*s**2 + 7*s**2 - 2 as l + y*s + d*s**3 + w*s**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 - 13.6. Let u = 15285.9 - 15286. What is the closest to u in -3\/4, -3, w, 1.6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 4*s - 1 = 0, -42 = 2*b - 2*s + 4*s. Let d = 12 + b. Let u be (1 + -1)\/(1 + 0). Put u, 5, d in descending order.\nAnswer: 5, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4839 is divided by 255?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20 + 26. Let a = -15 - -23. Calculate the lowest common multiple of a and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1133416*y**3 - 2*y**2 - 80*y + 46915 wrt y?\nAnswer: -6800496*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 2\/27, -0.2, -1604?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -31\/2 (b) 5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 4, i: 3, t: 6, c: 2, j: 2, h: 1}. What is prob of sequence wt?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 4 + 9*s + 8 - 149*s**2 + 8 - 21 + 2. Let u(r) = 148*r**2 - 9*r - 1. Let a(x) = -5*b(x) - 6*u(x). Find the second derivative of a(g) wrt g.\nAnswer: -286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 4434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/1330651689 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6 + (5 - 0) - 12)\/(-1). Let s(k) = 8*k**2 - 27*k + 122. Is s(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -26 + (52 - 26) - 4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by -1460588.\nAnswer: -5\/1460588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, 2.691, 0.15.\nAnswer: 0.15, 2.691, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 122b (base 16) to base 13\nAnswer: 216a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -25 - -36. What is the remainder when 11 + 35\/(-5) - -35 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3.1, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that -5*g**5 + 65*g**4 - 210*g**3 - 110*g**2 + 695*g + 525 = 0.\nAnswer: -1, 3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1088052 is divided by 93?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.04, 9, -2, 6\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 10*(-4)\/20*6\/(-28). Find i such that -3\/7*i**2 + 0 + c*i**3 - 6\/7*i = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the first derivative of 10*c**5\/13 + 103*c**4\/26 - 2*c**3\/3 - 103*c**2\/13 - 24*c\/13 - 10383. Determine r, given that n(r) = 0.\nAnswer: -4, -1, -3\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -19 - -30. What is the lowest common multiple of 1 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25470?\nAnswer: 2, 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 396 and 42900?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 24\/(-42) + 3\/21\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + 3*o + 16*o = -330 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0307*2.53.\nAnswer: -0.077671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -169*t**2 - 176*t?\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (4*((sqrt(91)*-1 - sqrt(91) - sqrt(91)) + sqrt(91))*2)\/(sqrt(84)\/sqrt(3)*-3))*-5.\nAnswer: -40*sqrt(13)\/3 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -91721\nAnswer: -18344.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 575 - 565 - (-16 + 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/8)\/(11*6\/1056).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -4, 6, 2, 3 in ascending order.\nAnswer: -4, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.5, 152, -20, 3, -400, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -256214, -256164, -256082, -255962, -255798, -255584?\nAnswer: -255314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -4 - 14*y - 11 + 6 - 6. Let i(c) = -5*c - 5. Let u(z) = 11*i(z) - 4*l(z). List the prime factors of u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5\/(-8 + -592) - 6\/(-45). Which is the smallest value? (a) -1 (b) -0.5 (c) 2\/13 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -5632.\nAnswer: -3\/5632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13217 divided by 1.\nAnswer: -13217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r**2\/3 - 844532*r - 267462862134 = 0. What is r?\nAnswer: -633399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from rxxqqaprqpxphrxaq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**3 + 67*l**2 + 625*l + 102. Determine j(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 40*k**2 - k. Let p be j(-1). Suppose -p + 19 = -2*c. Let h(y) = 3*y**2 + 7*y + 2. What is the remainder when h(-5) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2163bb1 + -9?\nAnswer: -2163bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {k: 1, h: 1, w: 1, r: 1, m: 2, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.4, 4, 0.3, -23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-27)\/(-48))\/((-6)\/(-8))*(-120)\/(-585)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -3*t + 2359. Let k(i) = 6*i - 4706. Give 11*f(z) + 6*k(z).\nAnswer: 3*z - 2287","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -134*x + 3641. Let m be t(27). Which is the second smallest value? (a) 1\/7 (b) -2\/13 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13, 13, 3, -23, -71?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 5.3869149ms?\nAnswer: 0.00000149636525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1*2\/7*7. Let x be 14 - u - (0 - -1). Suppose 44 = 10093*g - 10089*g. What is the greatest common factor of x and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1302\/112 + (-6)\/(-16). Let q(a) = a**3 - 4*a**2 + 3*a + 2. Let w be q(3). Solve -w*m - m = -h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 389 + -194. Let n = c + -194. Put -1, 0, n in ascending order.\nAnswer: -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 110801965 divided by 580115.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 c when three letters picked without replacement from {e: 1, j: 4, f: 1, s: 1, z: 2, c: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*(h*h**(-1))\/h*h*h\/((h\/h**(-2))\/h))\/(h**(1\/2)\/h)**(3\/4) assuming h is positive.\nAnswer: h**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 30*h**5 - 175*h**4 - 710*h**3 + 1635*h**2 - 940*h + 160 = 0.\nAnswer: -4, 1\/3, 1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 62*x**3 - 4*x**2 - 47*x + 257. What is the hundreds digit of q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.044 - 0.32346.\nAnswer: -0.27946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 4*x + 3. Let f(m) = -m**3 + 6*m**2 - 4. Let d be f(6). Put d, 5, x in ascending order.\nAnswer: d, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bcb when three letters picked without replacement from ccbcccccbb.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -2*t + 1. Let n be q(-2). Suppose 150 - 189 = -13*c. Solve 5*i + 25 = -4*d, 2*d + 30 = -n*i - c*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 80, 251, 422, 593, 764, 935?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18282716 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 + 5*o**2 + 8*o - 7. Let c be p(6). Let r = -3 + 8. Suppose 11 = 3*z + r. Solve z = -f + c*k, -5*f = 2*k - 24 + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) 2 (b) 0.02 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 977363*j = 977232*j - 16375 for j.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9\/(306\/208) + -6. Let h = -1.3 - -3.3. Which is the closest to 2\/9? (a) u (b) h (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3310 and 36079.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t + 5. Let f be a(4). Let c be 2\/f + 1134\/((-18)\/6). Let n = c - -546. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1039149 and 2.\nAnswer: 2078298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6 - -dcd746?\nAnswer: dcd740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 3*c - 1, 14 + 9 = 5*v + 3*c. What is the lowest common multiple of v and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 4 - 10 = 0. Let m(d) = -d**2 + 1. Let z(p) = -2*p**2 + 3. Suppose 12*b + 23*b + 4*b = -39. Calculate b*z(s) + r*m(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > -16\/7849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 4:16 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -6.8, 4 in decreasing order.\nAnswer: 4, 0.4, -6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/68 and 46\/17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 30393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 97116 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -45008 - -45011. Which is the closest to 1\/4? (a) 10 (b) -3\/8 (c) -4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*f + 207 = 11*f. Let l(q) = 6*q + 6. Determine l(f).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -0*d. Let u be 7*(-3)\/(-4 + 1). Suppose d = 4*k + u - 35. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12 and 25968?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 - 13*s**2 - 10*s + 15. Calculate the remainder when w(14) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 326936881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.38 + -16.78. Let o = k - 49.5. Let p = o + 63. Which is the nearest to -0.1? (a) 2 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -104 - -201. Suppose -94 = 3*z - a. Is 53*z\/(4 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 - 4. Let g = -8 - a. Solve 1\/5*t**g - 4\/5*t + 4\/5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.198 - -0.298. Let t = 1.5 + -0.5. Which is the nearest to l? (a) t (b) 0 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*r**3\/8 - 9*r**2\/2 - 243*r\/8 - 51\/2 = 0. What is r?\nAnswer: -4, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*z**3 - z**4 - z**3 - z - 4*z**3 - 1 - 2*z**2 to the form q*z + y*z**2 + j*z**4 + m + g*z**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/((-10)\/8))\/(-3*(-2)\/(-90))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-90)\/20*8\/(-432)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 10c59 + 852?\nAnswer: 117ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence baba when four letters picked without replacement from {b: 7, a: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 124 = -2*m. Suppose 5*v + 3*z = 170, -2*v + 50 - 13 = -5*z. Find the third derivative of m*l - 6*l**5 - v*l + 5*l**2 wrt l.\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 43598039*b. Let r(t) = -4*t**2. What is r(j(k))?\nAnswer: -7603156018582084*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 96125.\nAnswer: 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*-1*sqrt(84))\/((1*sqrt(120))\/sqrt(10)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11 - 6. Solve v - 2*v - 4 = d, 0 = p*d + 3*v + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 115913023*g**3 + 236956266*g**2.\nAnswer: 695478138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i + 14. Let v be p(-11). Let j = -3 + v. Which is the closest to -1? (a) j (b) -3\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18568 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 3:58 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) -32 (c) 5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 2*b - 7. Let w(k) = 31715*k - 63435*k + 31711*k. Give l(w(j)).\nAnswer: -18*j - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -8259*a - 58378. What is x(-7)?\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 96*s**2 + 685 wrt s.\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2214414334 - -1?\nAnswer: -2214414333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 - 3 + 1)*(-5 + 0 + 4) + (-2 + 2 - 2)*(-1 + 0 - 1) - 3 - 2 + 6)*(-4 - 22*w + 24*w - 8).\nAnswer: 6*w - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5415, -5371, -5301, -5205, -5083?\nAnswer: -4935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 1 - 7*z + 0 + z**2 + 5. Let b(j) = -j**2 + 200*j - 778. Let r be b(4). Give m(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 2*w**3 - 3*w**2 - 3*w + 3. Let m(o) = -3*o**3 + 4*o**2 + 4*o - 4. Let k be 21\/(-5) - (4 - 42\/10). Determine k*c(h) - 3*m(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**3\/5 - 2855124*k**2 + 171307656*k\/5 - 513923184\/5.\nAnswer: -2*(k - 6)**2*(k + 7137822)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - 1a095?\nAnswer: -1a099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > -14\/177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = o - 1144. What are the prime factors of (-4)\/(-5) + o\/5?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.9 and -2.04.\nAnswer: 1.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1873783763 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -24*u + 5. Let s(x) = -13*x + 2. Suppose -a = 5*z - 10*z + 9, -2*z = a - 5. Let w(j) = z*y(j) - 5*s(j). Let m(k) = -k. What is w(m(f))?\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.3 and -1255055.6814?\nAnswer: 1255055.9814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7 + 7\/413 - 7. Which is the third smallest value? (a) 1\/3 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 5*i**2 + 610*i + 605 = 0.\nAnswer: -121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -t + 16. Suppose 0 = 5*g - 2*g - 45. Let i be (-9)\/(g\/6 + -1). Is t greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 97, 102, 111, 124, 141, 162, 187?\n\"Answer: 2*x**2 - x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 35595 and 60.\nAnswer: 142380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -104*a**3 - 731*a**2 - 119*a**3 + 329*a**3 - 103*a**3 to d*a + b*a**2 + l*a**3 + i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the first derivative of d**2 + 847. Let a(y) = -4281*y**2. What is j(a(x))?\nAnswer: -8562*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 525172 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -784971 divided by 19.\nAnswer: -784971\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12099.3543 + 12102. Let u = -17177 + 17174.37. Let h = j + u. Round h to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1648984257 + -1648984168.00000124. Let t = 89 - i. What is t rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 14\/3*w**3 - 4\/3*w**2 + 0*w + 8\/3*w**4 = 0. Calculate w.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*p**3*u**4 - 6*p**3*u**2 - 2*p*u**4 + 4*p*u**2 - 3*u**4 wrt u?\nAnswer: 144*p**3*u - 48*p*u - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35178 is divided by 1957.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 2*m**2 + 4*m + 3. Let p be f(-2). Let g = 8.99 + -9.4. Let a = -0.01 - g. What is the third biggest value in a, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 320 divided by 9\nAnswer: 320\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -h + 5*m, -h - m - 19 = -2*h. Let f = h - 15. Calculate the smallest common multiple of f and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14823 and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -14*h**2 - 25*h + 7. Determine c(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3232577722 + 0.015042.\nAnswer: 0.3382997722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 880.5 + -1155. What is c rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1195\/9 + 133. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**2 + 111*t + 4156. What are the prime factors of b(69)?\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 6536914 by 2.\nAnswer: 3268457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1*(-5)\/(165\/9). Let n = f + 2\/33. Which is the third smallest value? (a) n (b) 1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8 - 5. Suppose 0 = -z + k*z. Find the third derivative of 6*q**3 + 2*q**2 + z*q**2 - 6*q**2 wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7286 + -7278. Solve 13 = -p*d - 27 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, 529, 1, 8 in decreasing order.\nAnswer: 529, 18, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000009921 rounded to seven decimal places?\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8552652 milliseconds in minutes?\nAnswer: 0.00001425442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11830 + 11827. What is the nearest to 4 in -3.9, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -67 - -71. What is the smallest common multiple of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14*f**3*h + 2*f**2*h - f**2 - 3*f*h - 692*h wrt f.\nAnswer: 42*f**2*h + 4*f*h - 2*f - 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and 28?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 144799424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 68 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4831624?\nAnswer: 2, 7, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*z, d + 8*z - 13*z - 34 = 0. Solve 6*b - o + 4*o + d = 0, -3*o = 3*b + 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -301*f**2 + 177*f wrt f.\nAnswer: -602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18364 is divided by 705.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 910 and 14560?\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -3*t. Let q(c) = c**3 + 5*c**2 - 5*c + 8. Let g be q(-6). Let b(a) = -6*a**2 + a**2 + a**2 + a**g. Calculate w(b(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t - t + 2*t + (-3*t - 2*t + 3*t)*((3 - 4 + 3)*(-2 + 1 + 0) - 3 - 1 + 0).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -646, -779, -896, -991, -1058?\n\"Answer: u**3 + 2*u**2 - 146*u - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from bnbnbb.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -20a + -2?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -152 + 4*i + 152 as c + w*i and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:29 PM and 6:29 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 2*q + 5*o, -117*q = -5*o + 138 + 467 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-16)\/1288)\/(4\/(-28)). Let z = -2 - -1.8. What is the third biggest value in z, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 18 = x + 3*u, 0 = 2*x - 2*u + 4. Let n = 9 + x. Solve 4*i = 5*s + 33, -3 = i - n*s + 4*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + (0 - 0) - (-19)\/9. Let y(q) be the first derivative of 1\/24*q**4 + 0*q + s*q**3 - 1\/30*q**5 + 0*q**2 - 2. Factor y(g).\nAnswer: -g**2*(g - 2)*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:49 AM and 5:19 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 81993097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -3465*r - 49*r**3 + 3465*r + (-5*r - 3*r + 3*r)*(-27 + 27 - 18*r**2).\nAnswer: 41*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (61 - 57 - (1 - -11)) + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2225 + 2229 - (3 - 1 - -5) - -59\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38846339 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + w + 14 = 3*w, 0 = w + 2. Let b be (-2)\/g*18\/3. Suppose -6 = -p - i, -6 = -3*p + 2*p + b*i. Solve -p*f + 2*f + 8 = -3*y, f - 11 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + -1 + -4 - 2 - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 31 - 1009459?\nAnswer: -1009428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 26.5 - 43. Let y = q - -16. Put -6, -2, y in increasing order.\nAnswer: -6, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42664 (base 9) in base 14?\nAnswer: -a418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(2\/5)\/a**(1\/4) assuming a is positive.\nAnswer: a**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the third derivative of z**10\/75600 - z**8\/10080 - z**5\/30 + 3*z**2. Let c(p) be the third derivative of s(p). Factor c(w).\nAnswer: 2*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1062 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.225 - 13.\nAnswer: -12.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the first derivative of z**4\/2 - 256*z**3\/3 + 127*z**2 - 132. Factor j(x).\nAnswer: 2*x*(x - 127)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 29\/91 - (6 + (290\/(-70) - 2))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*s**3 - 32*s**3 + 5*s - 5*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*r**2 + 11*r**2 + 15*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10038 and 1557563.\nAnswer: 9345378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2296 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.0364 - -0.0636. What is the nearest to -17 in -3, i, -2\/27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: (-1*(-6)\/(-9))\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 10 = -5*d + 3*f, -4*f = -3*d - 5. What is the third smallest value in 2\/7, -7, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -371 - -379. Let x be (22 - z) + 2 + -2. Solve -15*p = -8*p - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1128, -8217, -27382, -64659, -126084?\nAnswer: -217693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3306 + 1909 + 8*d**3 + 2*d + 17*d**2 - 2880 with respect to d.\nAnswer: 24*d**2 + 34*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -6*z**2 - 78. Let a(j) be the first derivative of -j**2\/2 + 179. Calculate b(a(r)).\nAnswer: -6*r**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1470047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -9 + h + 56 + h. Let g be q(-21). Suppose -3*f + g*a = -6*f + 495, 5*a - 815 = -5*f. Does 40 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1511459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -15*n + 169. Let j be c(11). Solve t + 5*o = 2*t - 28, -t + j*o = -23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-6860)\/14)\/(-10))\/(-24*26\/156).\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g = l + 7, 18*g - 1 = -3*l + 13*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -87813624 divided by -1124?\nAnswer: 78126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes after 7:14 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -11? (a) 0.3 (b) 25258 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 17477351 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 + -5 - 1 - -117. Let k = -449\/4 + m. Factor 3\/4*s + 0 - 3\/2*s**2 + 3\/2*s**4 - k*s**5 + 0*s**3.\nAnswer: -3*s*(s - 1)**3*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-10) - 7\/5. Let m be 0 + -2*l\/(-2). Let k = m + 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**4\/7 - 718*a**3\/7.\nAnswer: -a**3*(a + 718)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 97 + -52. Calculate the remainder when 88 is divided by i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 5*n**2. Let z(d) be the third derivative of -d**5\/30 + 14*d**2. What is z(f(y))?\nAnswer: -50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1135899 at most as big as 1135896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 38, -65, -166, -265, -362?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**3 + 7*b**2 + 3*b + 14. Calculate q(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -381, -632, -877, -1116, -1349, -1576, -1797?\n\"Answer: 3*g**2 - 260*g - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**2 + v - 4. Let s(l) be the first derivative of l**2\/2 + 12*l - 8. Let t(f) = -2*f - 1. Let c be t(4). Let d be s(c). What is g(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -50\/3 and (-3 - 3)*(4 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*l*p**5 - 20883702*l*p**2 - 56*l*p - 36833*l + 13 wrt p?\nAnswer: 40*l*p**3 - 41767404*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 202? (a) 3 (b) -7 (c) 0.1 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + 9*d**2 - 5*d + 11. Let c(i) = -2*i**3 + 18*i**2 - 9*i + 23. Let g(r) = -6*c(r) + 13*v(r). What is the tens digit of g(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**2 - n. Let z(j) = -1325*j**3 - 3*j**2 - 3*j - 1182. Let f(i) = 3*c(i) - z(i). What is the first derivative of f(r) wrt r?\nAnswer: 3975*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t\/(t**14*t*t*t)*t*t**9*(t**(4\/9))**(3\/28) assuming t is positive.\nAnswer: t**(-125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 229 - 217 = 0. Put 3, l, -85 in decreasing order.\nAnswer: 3, l, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llot. Give prob of picking 1 o and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 32*m**2 + 8*m - 7. Let o(b) = 31*b**2 + 7*b - 6. Let s(y) = 7*o(y) - 6*t(y). What is the second derivative of s(v) wrt v?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 25*c - 40 = 0. Put -1\/2, -4, c, -2 in decreasing order.\nAnswer: c, -1\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(-2))**(2\/15))**(-15\/7))**(2\/5) assuming p is positive.\nAnswer: p**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -9 + 15*b**2 - 22 + 8*b**2 - 24*b**2 - 15*b. Suppose -r + 35 = -6*r. Let a be w(r). Calculate the greatest common factor of a and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 41 + -27. Calculate the least common multiple of 14 and 252\/(-294)*1\/((-2)\/c).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 301 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h + 11*h - 12*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -2*z**3 - z**2 - 3*z - 2. Suppose 3 = 5*l - 4*o, -4*o = -0*l + 3*l + 11. Let t be v(l). Solve -c + 0 = t*j + 1, 5*j + 4*c + 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -38*v**3 + 72*v**2 + 10733*v wrt v.\nAnswer: -228*v + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*-0.5404.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:20 AM and 9:12 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t**2 - 16*t + 23. Let u be f(15). Solve 0 = -3*p + u*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 3 + 2 + -3 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-45 + 45 + 10*h**3)*(-78*h - 885*h - 1658*h - 858*h).\nAnswer: -34790*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1519038, -3038122, -4557204, -6076284?\n\"Answer: w**2 - 1519087*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(132)*3 - 6*sqrt(132)*2)\/((sqrt(588) - (sqrt(588)*1 - sqrt(588)))*4))**2.\nAnswer: 891\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 116501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2431, 9706, 21823, 38776, 60559, 87166, 118591, 154828?\n\"Answer: -t**3 + 2427*t**2 + t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2169 + -2167. Let g = 0 + 5. Which is the second biggest value? (a) 4 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from {g: 1, r: 2, i: 8, m: 1, n: 1, e: 7}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11319 and 10494.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/484 and -17\/44?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f - 319 - 50. What is the highest common factor of 82 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 813*o - 445*o - 369*o. Let p(j) = 32*j**2 - 13. What is q(p(c))?\nAnswer: -32*c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6636.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 3*j**3 - 2*j**2 + 4. Let y(m) = -11*m**3 + 11*m**2 + 9*m - 40. Let r(i) = -i**3 - 2*i + 5. Let v(b) = -4*r(b) - y(b). Determine -11*a(x) + 2*v(x).\nAnswer: -3*x**3 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -13121011122 (base 4) to base 16.\nAnswer: -1d915a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 66*w + 6594453 - 6590427 = 0 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17236 = -11*x - 0*x + 17544. Solve 4*l - 39 = -23, -x = -4*v - 5*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/12*(-12)\/(-44)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4412 - 4357. Suppose 0 = j - 3*j + 72. What is the remainder when q is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/(-3)*3*1. Suppose q*a - 2*h = -6*h + 8, -5*a - 4*h + 50 = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-8)\/(-180)*5 - 116\/36. Let k(y) = y**3 + y**2 + y + 1. Let b(d) = 6*d**3 + 3*d**2 + d + 5. Let v(x) = -b(x) + 5*k(x). Determine v(c).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 1797*c**5\/2 + 1151889*c**4\/4 - 12393657*c**3\/4 + 30850833*c**2\/4 - 12387801*c\/4 - 20853\/2 = 0.\nAnswer: -331, -2\/599, 1\/2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 29836001 to the power of 1\/2, to the nearest integer?\nAnswer: 5462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12377481 is divided by 343?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -2*k. Let d(y) = -17795400*y - 5. What is z(d(h))?\nAnswer: 35590800*h + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 9201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 + -4929?\nAnswer: -4928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 15, 5, -7 in increasing order.\nAnswer: -7, -2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1968 divided by 8?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14 and 3052966?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1506519502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -570 - 562 + 140*b - 572 - 563 + 2267.\nAnswer: 140*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**2 - 6*b + 2. Suppose 4*d = -5*h - 194, -2*h - 20 = -d + 68. Let w be (-2)\/12 - (-203)\/h. What is the units digit of l(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of c**5\/20 + c**4\/3 + c**3\/6 - 10*c. Let j be d(-1). Solve -j*h - 2 = -8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.04, 12\/5, 2\/3, -4, 4, 246?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (9\/(-3) - -2)\/(1\/(-5)). Suppose 4*f - 16 = -2*q + 2*f, -s*f + 15 = 0. Solve 0 = -q*o + 3*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * 179308.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**5 + 272*b**4 + 1584*b**3 + 3140*b**2 + 2606*b + 780.\nAnswer: 2*(b + 1)**3*(b + 3)*(b + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -1030.237 * 9.\nAnswer: -9272.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -8*t + 135. Suppose 1233 = 3*v - 2*p, p - t = 6*p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 21774 - 21391. Calculate the greatest common factor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*u + 4*u + u)*(-1 - 1 - 4) - 50 + 50 + 12*u - 2*u - u - 5*u to the form g + i*u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from {y: 4, w: 1, r: 4, d: 2, x: 4, t: 5}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2682645071 to the nearest integer?\nAnswer: 51794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-144)\/(-42))\/(2\/7). Calculate the greatest common factor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(228) - (sqrt(228) - (sqrt(228) - sqrt(228)*2)))\/sqrt(12)*1.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*q - 7*q + 3*q + (-2 - q + 2)*(-3 + 0 + 1))*(-2 - 2 + 3)*(-9*q + 4*q + 2*q - 1).\nAnswer: 18*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9 - -10. Let n = -14 - -13.8. What is the third biggest value in -0.4, n, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -20*l + 26*l - 360. What is the greatest common divisor of l and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -139\/15143652 and 31\/7587.\nAnswer: 15143652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8393 and 799624.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -28*s**2 + 23977 - 29*s**2 + 34*s**2 - 23951 as u*s**2 + y*s + m and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 616 + -620. Sort c, 0.4, -4\/3, 0.2.\nAnswer: c, -4\/3, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22031 (base 5) in base 11?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 13) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 35072, 35329, 35582, 35831?\nAnswer: 36076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/((-36)\/30))\/((-8)\/(-48))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in 0.61, 0.11, 5\/7?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in j**3 - 4*j - 557*j**2 + 2*j + j**3.\nAnswer: 2*j**3 - 557*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.213828 kilometers in meters?\nAnswer: 213.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -64462, -128922, -193382, -257842, -322302?\n\"Answer: -64460*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be (24\/(-1))\/(-4)*(-2)\/(-14). Factor -2\/7*d**4 - 4\/7*d**2 + 0 + 0*d + z*d**3.\nAnswer: -2*d**2*(d - 2)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -1041.\nAnswer: 1\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -7 - 121?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*105391911.\nAnswer: -316175733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -22*l - 453. Let v be j(-21). Solve -4*u = -7*u - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 537775*b. Let z(v) = -2*v**2 - 12. Calculate z(u(n)).\nAnswer: -578403901250*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the third derivative of 25\/6*z**4 - 4 + 0*z - 110\/3*z**3 + 1\/60*z**5 - 8*z**2. What is the first derivative of d(x) wrt x?\nAnswer: 2*x + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 3*v. Let j(d) be the first derivative of -1244*d**3 - 6166. Calculate z(j(f)).\nAnswer: -11196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2 + 240*f - 492.\nAnswer: 3*(f - 2)*(f + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000028732 rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1962689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*d**3\/4 - 978*d**2 + 426405*d\/4 - 141267\/2.\nAnswer: 3*(d - 217)**2*(3*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 2*d**3\/11 - 248*d**2\/11 + 1362*d\/11 + 6372\/11 = 0. Calculate d.\nAnswer: -3, 9, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the third derivative of h**6\/120 - h**5\/20 - h**4\/4 + 2*h**3\/3 + 6*h**2. Give b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 607 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 12260635 to the power of 1\/2, to the nearest integer?\nAnswer: 3502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1808 divided by -4?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g - 7*g = 21. Is g greater than or equal to -20\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 6 = 0, 6*r + d - 33 = r. Let t = -4 + r. Find the second derivative of -u**t + 0 + 0 - 2*u wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3298357631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1830.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(-1) - 111\/(-35) - (-836)\/(-1463). Let q(w) be the first derivative of -4*w**3 + 4*w - w**4 + h*w**5 - 13 + 2*w**2. Factor q(l).\nAnswer: 4*(l - 1)**2*(l + 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 35.04 - 0.04. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 44 + -8. Suppose 8*j = -65796 + 65828. Calculate the highest common factor of t and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 6*n = 4*n - 676, -1702 = -5*r - n. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 + 14. Suppose -z*d = 7320 - 60. Let p = -20337\/14 - d. Find the common denominator of p and 131\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 213 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -247 = -2*k - b - 252, 0 = -b - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 114 - 79. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(2*sqrt(77)*-3)\/((sqrt(704) + -1*sqrt(704) - sqrt(704)) + sqrt(11)).\nAnswer: 12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 4, -14\/13, 20, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -437 - -442. Let d(c) be the second derivative of 0*c**2 - 3*c - 1\/2*c**3 + 0*c**4 + 0*c**r + 1\/10*c**6 + 0. Find the second derivative of d(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -21 + 61. Let o = -31 + k. Suppose -7*q + 5 = -o. Solve 0 = q*b + 10 - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 1887358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20521757?\nAnswer: 109, 188273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 46910297 divided by -133\nAnswer: -352709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -33 by 22.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 22*z**4 + 15 - 17 - z**4 + (3 + 5*z**4 - 3)*(-4 + 1 + 5).\nAnswer: 31*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i - 6. Let o be x(8). Which is the nearest to o? (a) 3 (b) 4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -g + 4*g + 3*l, 5*l = -4*g + 44. Let z = 3 - g. Let f be 6 - ((0 - z) + 0). Solve -10 = -f*u + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3172 + 6328 - 22874*l - 3156 + 4*l + l - 3*l + l + 4 - 4 + (-3 + 1 + 0)*(2*l - 1 + 1) + l - 5*l + 2*l + 2*l + 2*l - 3*l.\nAnswer: -22876*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 6566*t = 6565*t + 30 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.9 + 2.1. Let c = 0 - h. Sort 4, c, -0.1 in ascending order.\nAnswer: c, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -264, -316, -452, -714, -1144, -1784?\n\"Answer: -7*o**3 - 3*o - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-68)\/(-306)*((-6)\/(-5))\/2.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -58, -60, -58, -52, -42, -28?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:22 AM and 1:01 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/21, -0.24, 0.3, 21, -5404\/11 in decreasing order.\nAnswer: 21, 0.3, 2\/21, -0.24, -5404\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-91)\/(-7) + 1155\/(-88).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h - 184*f + 61*f = -55*f - 65*f + 6, -9*h + 2*f + 50 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -s**4 + 4*s**4 - s**4 + (3*s**3 + s**3 - 2*s**3)*(-9*s + 2*s - 3*s).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 561409055 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the second derivative of -87\/2*n**2 + 5\/4*n**4 + 1\/2*n**3 - 7*n + 0. What is the derivative of l(w) wrt w?\nAnswer: 30*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -4*c**2 - 4*c**2 + 5*c**2. Let g(f) = 3*f - 4. Let z(s) = -7*s + 14. Let t(j) = -7*g(j) - 2*z(j). Give w(t(x)).\nAnswer: -147*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 38407 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -12*g + 78. Let d be a(6). Let w be ((-1)\/2)\/(1\/2). Is w smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 53308 + -33465. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*b**3 - 59*b + 12*b**3 - 29*b**3 - 8*b**2 + 18*b**3)*(-3 - 1 + 3) in the form f*b + p + a*b**2 + t*b**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 266397 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/5*-1*-15. Suppose 135*i - 140*i + 15 = 0. Suppose -i*g - 48 = -63. Solve -p - 6 = 2*p, g*f + 2*p = w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -54796 + 80083. What are the prime factors of m?\nAnswer: 3, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (78\/(-126))\/((-4524)\/6264)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1345063 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50780504 is divided by 14488.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**2 - 8*m + 17. Let i be o(5). Let a be ((-5)\/15)\/(i\/(-12)). Suppose h = -a*h + 111. What is the highest common divisor of 333 and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iiiiippiiipiiipiii. What is prob of picking 4 p?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -20, -0.731, -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-1*sqrt(88) - sqrt(88))\/(1*sqrt(800)).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2\/35 + -1\/7. Let t = -1033531\/15 + 68902. Are t and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2594166923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -574.8875 + -0.1125. Let j = i + 485.6. Let v = 89 + j. Which is the biggest value? (a) -1 (b) v (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 23673608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 942165 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes after 4:41 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11 and 13563?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32081, 64255, 96427, 128597, 160765, 192931?\nAnswer: 225095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*-3*sqrt(13) - (sqrt(13) + ((sqrt(26) + sqrt(416))\/sqrt(2))**2).\nAnswer: -325 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + -2 + sqrt(7) - ((-2*sqrt(7) + sqrt(7))*6 - sqrt(7))) + 5)**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-44)\/3)\/22)\/(1298\/(-66)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 3*z**2 + 7*z**2 - 15*z**2 + z**3 - 30 + 6*z**2. Calculate h(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 711 = -3*t - 3*p + 729, -5*p = -10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 20 - 18. Let o(m) = 3*m - 6. Let a be o(6). Solve t*j - a = -4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 75697, 605559, 2043753, 4844443, 9461793, 16349967?\n\"Answer: 75694*f**3 + 2*f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 51838 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 52 and 180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 13 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 22, 175 in descending order.\nAnswer: 175, 22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 0. Let x be -2*((-15)\/6 - t). What is y in -y**3 - 3*y**x + y**5 + 2*y + y**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10 - 54*t**4 + 55*t**4 - 2177*t**2 + 2103*t**2 to the form d*t + r*t**4 + z*t**3 + x*t**2 + b and give x.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the first derivative of 81*m**4\/4 + 44*m**3 - 109. What is the third derivative of t(c) wrt c?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of r**4\/12 + 11*r**3\/6 + 10*r**2 - 3*r. Let w be l(-9). Solve 23 = -5*j + w*g, -5*j + j - 4*g + 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/5 or -1021387?\nAnswer: -1021387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.1 (b) 19\/8 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3b8 (base 14) to base 16.\nAnswer: 2ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the first derivative of -1 + 1\/2*x**4 + x**3 + 0*x + 0*x**2. What is the third derivative of w(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (0 - (-488)\/6)\/(2\/9).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6 + 288\/(-27) - -5. Put 2, -7, q, 0 in ascending order.\nAnswer: -7, 0, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 1547 = 214*a - 875*a + 11000, 0 = -4*a + 2*l + 84 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g**5 - 62*g**4\/3 - 14*g**3 + 46*g**2\/3 + 20*g + 16\/3 = 0. Calculate g.\nAnswer: -2, -1, -4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(486) + sqrt(54))\/((sqrt(48)\/sqrt(2))\/sqrt(8)))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*s + 1. Let o be 8 - ((-12)\/54 + 1280\/90). Let k(v) = 2*v**3 + 4*v**2 + 2*v. Let x be k(-2). Put x, s, o in decreasing order.\nAnswer: s, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (14 - 1) + -5 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g - 4 = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 - t**2 - 1. Let b(z) = -10*z**3 - z**2 - 14. Calculate b(r) - 4*x(r).\nAnswer: -6*r**3 + 3*r**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the second derivative of v**8\/960 - v**7\/252 + 11*v**4\/3 + 9*v. Let n(f) be the third derivative of j(f). Find the third derivative of n(g) wrt g.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:18 AM and 1:54 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7656*c**5 - 5858*c**5 - 188*c**3 + 188*c**3 + 699*c wrt c?\nAnswer: 35960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 + (-24)\/14 + 1. Let q = 0.0753 - -0.3247. Let s = 1.4 - -3.6. What is the closest to 1 in q, d, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2550408 by -952.\nAnswer: -2679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -5 + 0*b + 0 + b. Let g(a) = 4. Let h(i) = 4. Let t = -5 + 10. Let m(j) = t*g(j) - 6*h(j). What is 3*m(z) - 2*p(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-7)*(-27832)\/2272.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4 + (-36)\/(-8))*-58. Let m = 30 + t. Solve -5*n - j + 13 = 0, j + m = 5*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -364.2868216 to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 255, 4, -3565 in decreasing order.\nAnswer: 255, 4, -3565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 158 = 150. Let z be (-2)\/(-8) - (-86)\/w. What is the units digit of z - ((-6)\/(-2) - (0 + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0 + 2 + 1 + -1. Suppose u*q - 72 - 10 = 0. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7*d*p**2 + 9*d*p - 10*d + 104*p**2 - 84 wrt d.\nAnswer: 7*p**2 + 9*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -762 - -813. Suppose -s - 4*p = -x - 11, 2*s + 2*p - 142 = 0. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 178634733.\nAnswer: 3, 47, 1266913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3345213 greater than 53523403\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 18 = -9*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccxxcx. What is prob of picking 1 c and 3 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**2\/2 + 62280954*t + 646486205191686.\nAnswer: 3*(t + 20760318)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5292, 5458, 5742, 6150, 6688?\nAnswer: 7362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 27\/236 and -32\/295.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 78*t**2 - 10*t + 2. Suppose 2*r - 5*b = 9, -2*b - 1 = 3*r - 5. Is c(r) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -334 divided by 2?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4061?\nAnswer: 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -144, -287, -426, -561?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 + 277?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -223223 + 11?\nAnswer: -223212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 35202458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 18 = -3*w + 28, 0 = -2*z + 4*w + 62. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 442074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1882034 > 1882053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-42224)\/(-156))\/(-58)*9\/(12\/4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {t: 2, q: 7, b: 4, v: 3, z: 3}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 943 = -5*g + 818, -5*l - 2*g = -2916. Suppose -4*d + l = 38. Is 34 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15029996 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 3*l - 4 = 0, -3*w - 3*l + 21 = -3. What is the remainder when w is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*i - 53*i + 212*i.\nAnswer: 167*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 170 and 8738.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -2*p - 9. Suppose -6 = -p*s - 2, -3*s - 207 = 5*c. Let l = c - -45. Solve -4*d + 31 = l*m, d + 3 = m + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/5*(-1 + 126). Let j = g - -70. Suppose -27*o + 96 = -39. Solve -d + o*d = -j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 19048 + -857108\/45. What is the common denominator of -4\/45 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 11:28 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 68*d - 2. What is the units digit of v(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 3, -512, -44, 1.2 in increasing order.\nAnswer: -512, -44, -5, 1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 45 and 184995.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (2*s - 198 + 356 - 185)*(1 - 3 - 1)*(4*s**2 - 12 + 12) in the form g*s**2 + l + o*s + k*s**3 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4342551860 to the nearest integer?\nAnswer: 65898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -4, 52, -1836 in ascending order.\nAnswer: -1836, -15, -4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 2588*k**3 + 2*k**2 + k - 1. Is 14 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -12\/7 smaller than 28094\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 23*u + 26. Is x(6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1114248 divided by -6\nAnswer: -185708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1722 - 1722.5. Let q = -0.36 - -0.06. Sort 0.5, -3, w, q in descending order.\nAnswer: 0.5, q, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 820 + 822 + 816 - 2477 - 2*f.\nAnswer: -2*f - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**2 + 2*w. Suppose -2*m = 9 - 21. Let o(p) = 2*p**2 + 2*p - 1. Let q be o(-2). Let b(z) = z**2 - z. What is m*b(g) + q*i(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -5 + 13. Let w(i) = -1. Let r(l) = -5*l + 13. Let j(o) = p*r(o) - 22*w(o). Is j(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 814 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = p - b + 15, 0 = 5*p - 3*b + 19. Let q = p + 81. What are the prime factors of q?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 54, 93, 130, 159, 174, 169, 138, 75?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.6285 + -0.0285. Let p = 13 + -12.7. What is the second smallest value in 0.1, p, -2\/9, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from jtjtnnjtntn.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -345*u - 14522. What is i(-42)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y**2 - 7*y + 4. Let g be r(7). Let b = 7 - g. Solve 4*u + 12 = b*h, 7 = -5*u + 2*h - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (23 + (-23 - -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1094.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6*(-12)\/160)\/((-66)\/55)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49096?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 40466 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -346, -1396, -3852, -8416, -15790, -26676?\n\"Answer: -117*o**3 - o**2 - 228*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 15*c + 847 = 0. What is the remainder when c is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(1\/(22\/(-55)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:03 AM and 3:36 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t**3 + 8*t**2 - 13*t + 14. Give r(-7).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -30 - -34. Let i = 7 - z. Let s be (-1)\/((-18)\/10 - -2). Sort 4, s, i in decreasing order.\nAnswer: 4, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**2 - 54464670*h + 247200023184075.\nAnswer: 3*(h - 9077445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 2*n - 7, n - 3*g = -n + 1. Let s be 12*(66\/(-84) - n\/(-7)). What is the units digit of (-620)\/s*30\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 17 = -4*c. Suppose 0*z = -s + c*z - 1, s + 3*z - 6 = 0. Solve t = s*p + 14, 0*p - 6 = p + t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 38 + -37. Let x be (d*2)\/(11\/121). What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5368 and 10*(64\/(-144) + (-44)\/(-18)).\nAnswer: 26840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, d: 4, y: 4, h: 3, e: 1}. Give prob of sequence ddz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.353 - 0.068. What is l rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-2\/49)*i*i**(2\/39))**(-12) assuming i is positive.\nAnswer: i**(-7724\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of f**4*m - f**3 + 6840741*f*m + 32591721*m wrt f.\nAnswer: 4*f**3*m - 3*f**2 + 6840741*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 67422\/1322 - (-118)\/(-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2454149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 - 5*l. Let y be q(-5). Suppose 0 = -4*n - 4*d + 188, y = n - 5*n - 5*d + 188. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -154 bigger than -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1d (base 14) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 487509881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes after 9:27 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply 804647 and -11.\nAnswer: -8851117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add together -484 and 9520382906.\nAnswer: 9520382422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tttgttttttgt. Give prob of picking 2 t.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 - 7*q + 2. Let b be u(-7). Suppose -w = 5*v - b*v, v = -2*w. Let m(s) = s + 2. Calculate m(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -554 + 557. Which is the second smallest value? (a) w (b) -11 (c) -5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 321, 658, 1001, 1356, 1729?\n\"Answer: a**3 - 3*a**2 + 339*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 53 + 52. Suppose -3*g - 6 = -x. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15, -79, -179, -321, -511, -755, -1059, -1429?\nAnswer: -1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.4 in 35, 1\/2, -0.49?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 489157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do 561 and 560 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46185228?\nAnswer: 2, 3, 142547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -37, -47, -35, 5, 79?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**3 - 13*r**2 + 15*r + 184. Determine x(11).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + (3 - 3) - (-35 + 39 + -5) - 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 8, p: 2, k: 3, i: 1, v: 5}. Give prob of sequence okki.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 - 17907627*h**2 + 53722900*h**2 - 17907631*h**2 - 17907636*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 35 is divided by (-4 + 1)*3*(-4 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 111 divide 825130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 3*y**4 + 528546*y**3 + 31039744752*y**2 + 607592655529344*y - 1215309474266112 = 0. What is y?\nAnswer: -58728, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*(o**1\/o)\/o*(o*o\/(o\/o**(2\/5)))\/o)\/((o\/(o\/((o\/(o**(-6)\/o*o))\/o)))\/((((o*o*o**0)\/o)\/o)\/o)))**(2\/15) assuming o is positive.\nAnswer: o**(-22\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 + -1)*(17 - 25). Suppose u = 2*b - 30. Calculate the remainder when 36 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010 - -11000?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -230 - 246. Is (-136)\/k + 17160\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-39)\/(-442)*(-4)\/2. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -213459 + 331756. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 119347074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -30 + 24. Let x be (-1)\/(3\/3*1). List the prime factors of 69\/i*(x + -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17120 = 1243*b - 6410*b + 11205 - 2490 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -l**3 + 3*l**2 + 12*l + 2. Let p be w(5). Suppose -922 = -p*d + 1562. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25, 79, 253, 497, 811, 1195?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {u: 1, e: 8, i: 1, r: 3, f: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-95)\/(-2)*16\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0704 times -4\nAnswer: -0.2816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -248, 5, -1, 4.\nAnswer: -248, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1109.2680085 minus -0.5?\nAnswer: -1108.7680085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (13772\/21284)\/(40\/(-340)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-4))\/(243\/(-10206))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -5*a**3\/4 - 3705*a**2\/4 - 7395*a\/4 - 3695\/4 = 0.\nAnswer: -739, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z - 6. Let l be d(8). Let n(y) = 2*y + 12. Let a be n(l). Let h(u) = u**2 + 14*u + 7. Calculate the remainder when h(a) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c**4 - 1695 + 69*c**5 + 1695 + c**4 - c**4 - 2*c**5 + (4 - 2 - 1)*(-4*c**3 + 4*c**3 + c**5) - c**3 + c**3 - 6*c**5.\nAnswer: 62*c**5 - 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 41216 divided by 26?\nAnswer: 20608\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes after 5:03 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(304) + sqrt(304)*2 + 2 - ((-3 + sqrt(304) + -2 - sqrt(304)) + sqrt(304)))**2 + 5 + 1.\nAnswer: 112*sqrt(19) + 1271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12032007 is divided by 82?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -6*r + 2. Calculate k(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + -22 + (-19 - -42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-220)\/(-28) - 8 - 9\/(-14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31407 divided by -1083.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is r in -4*r**2 - 4748*r - 4744 = 0?\nAnswer: -1186, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 111067.\nAnswer: 11, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 4 (b) -199\/6 (c) -2 (d) 0.1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be -7 - (-2 - (-3 + (1 - -1))). Is (3\/3)\/(7\/(-167286)*y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**2 - 5*p - 5. Let q = 5 + 2. Let v be l(q). Find i, given that 3 - 3*i**4 - v*i + 5*i**3 + i**3 + 0 + 3*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 1344362\nAnswer: -2\/672181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/11, 0.2, -695, -2\/3, -1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, j: 1, h: 1, c: 1, n: 3}. What is prob of sequence cnh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1361910 divided by 136191\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -72 - 2*o + o + 43 + 33. Calculate v(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -316, -5 in ascending order.\nAnswer: -316, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/13 (b) 4\/107 (c) 1179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1337 = -2*f + 297. Let y = f - 477. What are the prime factors of y?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w - 2 + 26. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5588 and 113538?\nAnswer: 2497836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14893, -30208, -45743, -61492, -77449?\nAnswer: -93608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -82\/225 and -94\/1845.\nAnswer: 9225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1157?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 125 and 1339225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 24259 and 1887.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(243) - (sqrt(243) + 1)) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124 = 2*r + 2*r. Let u = -10 + r. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 22839484*w**6 + 6070436*w**2.\nAnswer: 2740738080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 16*m + 8*m - 8*m + 8*m. Let f = -23273\/7 - -3331. Find the common denominator of f and i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 708 and 582757278.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 97299507 a multiple of 879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xwxxxxwx. What is prob of picking 1 w and 2 x?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = 5*f + 3, f = -h - 0*h + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 - 17 = 5*d - 5*m, 0 = -5*d - 2*m + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(108) + 6*sqrt(108)*1 + sqrt(108) + sqrt(108)*2 + 3 + sqrt(108) + -2 - (sqrt(108) - -1*sqrt(108)*3 - (sqrt(108) + 1 + sqrt(108))*2)*-4))**2.\nAnswer: -396*sqrt(3) + 13077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o + 4. Let u be h(-6). Let s be u\/25 - (-29999996)\/10. Round s to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 214 and 22982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10\/63? (a) 2\/5 (b) -1 (c) 0.01 (d) 3 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the third derivative of -169*y**7\/840 - 13*y**6\/180 - y**5\/120 + 9*y**3\/2 + 84*y**2. Let j(t) be the first derivative of h(t). Factor j(s).\nAnswer: -s*(13*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the third derivative of 0*j**3 + 0 - 1\/24*j**4 + 3*j**2 + 0*j. Give b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/25024368 and 131\/94392.\nAnswer: 225219312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve u**2 + 23*u + 90 = 0.\nAnswer: -18, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 257000*l**5 + 115695*l**2 - 4?\nAnswer: 15420000*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/32 + (-4)\/32 + 248. Calculate the highest common divisor of 64 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes after 10:56 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/8*(-27)\/(-1)*4\/18.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -89692 rounded to the nearest 1000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 11 - 110501?\nAnswer: -110450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t - 3. Let m(c) = -3*c + 6. Suppose 8 = -4*o - 4. Let i(a) = o*m(a) - 5*y(a). What is the derivative of i(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -3*s + 19, -2*s = -6*s + 20. Suppose 4*z - z = 12. Suppose -z*n + 3*n = -10. Calculate the smallest common multiple of n and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 8 = 6. Calculate the smallest common multiple of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**17*l*(((l\/(l**(4\/11)*l))\/l*l)\/l)\/l)**(-18) assuming l is positive.\nAnswer: l**(-3096\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 0 and -1.165.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.99085 kilometers to nanometers.\nAnswer: 8990850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 17*j**2 + 41*j + 5. Give g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(833) + (-2 + sqrt(833))**2 - sqrt(833)).\nAnswer: -2511 + 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 23 = -2*m, -4*m + 2*a + 31 = -3*a. Let j = m + -4. Suppose 4*t = -j*t + 12. Solve 0 = 2*c + t - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -163*g = -1302 + 701 + 11196 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = y + 201 + 22, -5*q - 4*y = -305. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - 10, 2*f + 16 = -0*u - 4*u. Let m(k) = k**3 + 5*k**2 - k - 3. Let n be m(u). Solve 0 = -l + 6*l + 15, -n*c - 5 = -l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1774394?\nAnswer: 2, 29, 30593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3145174033?\nAnswer: 29, 233, 465469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 - -22. Suppose s + 0*s + o = 3*d, s = 2*d - 19. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/24 - (-8)\/3. Let p be (k + -6)\/3 + 6. Let v be (-2)\/(-4) + p\/(-6). Which is the nearest to v? (a) 0.1 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6821 and 1273.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 2*m + g, -3*g - 80 = -5*m + 2*g. Let p = -6 - -11. Suppose p*k = 55 + m. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-11128)\/39 + (-2)\/3. Let b = r + 413. Is b 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 30615571?\nAnswer: 7, 4373653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 1 (b) -7 (c) 0.1 (d) 3.19 (e) 5 (f) -0.5 (g) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-16 - 34680\/(-2172))\/((-3)\/5) and -69\/4?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -46*h + 32*h - 40*h + (5 - h - 5)*(0 + 4 - 2) + 4 + 2*h + 0 + 4.\nAnswer: -54*h + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-20)\/2 - (-22 - (-29 - -19))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2303 - 2100. Suppose -5*f + 25 = -35. Calculate the remainder when k is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 + -2.6. Let l = 5 - 5. Let t = -35 - -32. Which is the second biggest value? (a) l (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.3 take away 116316793?\nAnswer: -116316794.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4365 + -9365. Round u to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = -4*k + 4*x, 5*k = 2*k + 2*x - 20. Is k < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -237 - -239. Solve 3*o = z*p - 12, -4*o = 5*p - 4 - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 171139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/3199280 and -139\/40460.\nAnswer: 924591920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.06 + -0.14. Suppose -5*l = 2*l + 7. Which is the nearest to q? (a) l (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve s = -9*o + 11*o + 5, 2*s - 10 = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (16 + (-2 - (3 + -2)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -13 + 5?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2865?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -522.19587 - -295.\nAnswer: -227.19587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2470 is divided by 399.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001107642602 to 6 dps.\nAnswer: 0.001108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3436919*p**3 - 132*p**2 + 311*p + 2.\nAnswer: -20621514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(39)\/sqrt(3)*2 + sqrt(13)*-1*-5.\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (1 + 1 - (4 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -2*y**3 - 11*y**2 - 6*y - 3. Let i be v(-5). Suppose i*q + q = 3*x - 591, 2*x - q = 390. Calculate the remainder when x is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 4 + sqrt(1216) + 1 + -1 + sqrt(1216) + -6*sqrt(1216)*-2)**2.\nAnswer: 1120*sqrt(19) + 238361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 554959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**2 - 612*j - 9588. Give k(-17).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2\/445 - -1794\/3115. Let t be (-4)\/(-10) - 42\/80. Put h, t, -4\/3 in descending order.\nAnswer: h, t, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 5*s. Suppose -c + 25 = 8. Calculate the remainder when m(10) is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -71\/3*h + 1295\/3*h**2 - 1225\/3*h**3 + 1\/3 = 0 for h.\nAnswer: 1\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-2) - (-45 - (-1058)\/23).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 33250056, 33250037, 33250018, 33249999?\n\"Answer: -19*y + 33250075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 100111, 100112, 100113, 100114?\n\"Answer: m + 100110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4028*a + 600 = 4040*a. Suppose j - 70 = 3*q, 2*q - 350 = -5*j + q. Calculate the highest common factor of j and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 331179?\nAnswer: 3, 101, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2616 - 2604. Sort t, -3, 17 in ascending order.\nAnswer: -3, t, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (49\/294)\/((-11)\/6)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12801*b - 25577*b + 12781*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1583.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -490909, -4, 22 in descending order.\nAnswer: 22, -4, -490909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from oggo?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 5*p - 176. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 496540 - 204475. Let n(x) = 938*x**3 - 2*x**2 + 14*x - 5. Let r be n(10). Suppose t - r = f. Round t to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1930 - -1934. Sort -1, t, -50, 1.\nAnswer: -50, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**3 - 50*h**2 + 56*h - 110. Give b(49).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g + 9*q - 22 = 7*q, 0 = -3*q + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**3 + 9*j**2 + 37*j - 8. Let d be f(12). Solve 5*g - 11 = d*q, 7*g + 11 = -2*q + 4*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18*42\/(-378)*(95\/(-2))\/5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18 - 53\/3. What is the nearest to 2 in 0, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -l**3*x*z - 4*l**3 + 422*l**2*z + 229*x**3 - x*z with respect to x.\nAnswer: -l**3*z + 687*x**2 - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 17*n - 12*n - 4*n - 14*n. What is the tens digit of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**2 - 8*v - 6. Let x be (0 + 1)\/((-3)\/(-63)). Suppose o - 2*o = -x. Calculate the remainder when o is divided by n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 368*b**2*s - 2*b*s + 5*b + 4*s wrt b.\nAnswer: 736*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 583*x**2 + 25*x - 70. Let n(w) = -291*w**2 - 14*w + 38. What is -11*n(u) - 6*o(u)?\nAnswer: -297*u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.12125 - -0.31?\nAnswer: 0.18875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be 38\/8 + 2\/8. Let r be (1 - 9\/15)*h. What is the units digit of r + (-1)\/((-3)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/18 - 40\/16?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 255 = -5*j, j + 42 = 2*c - 3*c. Let h = 29 + j. Let i = h + 45. Round i to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1253)\/14 - (-6)\/(-4). Let q = y - -154. Suppose -v + 4*c = -35, c + q = 3*v + 3*c. Calculate the remainder when 91 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -g + g + 8*g**2 - g**2 in the form y*g + c*g**2 + j and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes before 6:31 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 22 = -7. Let t be h + -4 - (1 + 0). Calculate the remainder when 17 is divided by t\/(-4)*18\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 5021 (base 7) to base 4\nAnswer: 123002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 706784.\nAnswer: 2, 13, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 229 + 42*g - 229 - 3*g.\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4273 - -4273. Which is the closest to t? (a) -3\/4 (b) -6\/37 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -987 + 990. Solve -4*r = i*r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*s + 288 = -12*s. What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1465043\/109878 - 1\/36626. Find the common denominator of h and -75\/898.\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d**(4\/7)\/d)\/d*d**(1\/5))**(3\/28))**(-45))**(-1\/89) assuming d is positive.\nAnswer: d**(-1161\/17444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - r, 0 = -4*w + 5*r + 48. Let n = -8 + w. Let t = 9 - n. Let s(i) = -i**2 + 5*i. Determine s(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of 799*c**6\/120 - 943*c**3\/6 - c**2 - 13*c. Differentiate o(i) with respect to i.\nAnswer: 2397*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 292 - 296. Suppose -2*y = 2*i - i + 7, 3 = i - 3*y. Let h(l) = l**2 - l - 2. Let f be h(3). What is the nearest to 2 in i, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-9) - 50\/(-18). Let w be 3 + (3 - 2)*y. Let a be (-4)\/w + 14\/3. Solve 3*z - 7 = -4*f, -4*f = -a*z - 0*f + 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1852781864 to the power of 1\/2, to the nearest integer?\nAnswer: 43044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 3, s: 2}. Give prob of sequence rr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(21)\/(5*sqrt(27)))**2.\nAnswer: 7\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 2*p = 2*q, -3*q + 2*p + 4 = 0. Solve 0*o - q*o + 3*c = 0, -o = 5*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -5*l - 17. Let q be t(-5). Let h(c) = 5 + q*c - 4*c**2 - 6*c**2 + 8*c**2 + 3*c**2. Calculate h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -820 + 3*u**3 + 412 - u**3 - 3*u**4 + 47*u - 2*u**2 + 409 to the form p*u**3 + z*u**2 + g*u**4 + v + f*u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:31 PM and 10:15 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -137964 - 122036. Round y to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23 + -8 - 1 - (-166 - -148).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 - -22. Suppose 129*h = 233 + 154. Solve -h*l - 2*k + g = l, -5*l + k = -19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 210 or 218?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*((-96)\/96)\/(2\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -187 by 425137.\nAnswer: -187\/425137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/n**(-1))\/(n\/(n*n**6)))\/(n\/n**8)**(4\/3) assuming n is positive.\nAnswer: n**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12136 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 8583553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.401 - 5651042109.2.\nAnswer: -5651042107.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be (33\/55)\/((-2)\/(-40)). What is the highest common factor of m and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = 2*p - 3*a - 228, -2*a - 227 = -3*p. Calculate the greatest common factor of p and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 18\/81*72 + -1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 16 = -d + 47, 2*d + 5*n - 106 = 0. Solve 45 + d = 22*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 2*o - 9. Let p = -15 - -15. Suppose r - o - 2 = p. What is the lowest common multiple of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -25679*k**2*l*x**2 - k**2 + 601*k + 1642*l**2*x + 2*x**2 - 2*x wrt l?\nAnswer: -25679*k**2*x**2 + 3284*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 11*j**3 - 3*j**2 + 7*j + 113. List the prime factors of b(11).\nAnswer: 2, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 92*n + 27*n - 12*n + 10*n.\nAnswer: 117*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(162) + 1 + 3 + sqrt(162))**2 + -2.\nAnswer: 144*sqrt(2) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*p = 161 + 163. Let w be (-1 - (-21)\/p) + (-4)\/63. Let r = 88\/195 + -2\/39. What is the closest to w in -14, r, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the first derivative of -4*i - 3\/2*i**2 - i**4 + 0*i**3 - 5. Let l(s) be the first derivative of h(s). Find the first derivative of l(y) wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(45) + (sqrt(45) - sqrt(405)\/sqrt(81)) - sqrt(45))\/sqrt(9)*5.\nAnswer: 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2+0.16579066\nAnswer: 2.16579066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (6\/18)\/(-3*2\/(-54))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -40600204 - -40600214.9999972. Let u = -11 + a. Round u to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 1. What is the smallest value in 1, y, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 0.5, -2.2, -0.2, -1 in increasing order.\nAnswer: -2.2, -1, -0.2, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 PM and 2:35 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4095422?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 + 6*l**2 - 3*l + 2. Give t(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*t**2 + 24*t**2 + 8*t**3 - 13*t**3 + 53*t**2 + 4*t**3 to a*t**3 + m*t**2 + b + j*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4 - (-5118)\/(-4))*-2. Suppose -2*q = n - 1188 + 163, 5*q = 2*n + m. Suppose -9*v = -q - 207. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -204 + 203.9618. What is n rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 1 - 5 = 0. Suppose 0 = v - 0*v - l. What is the third derivative of -3*b**3 - b**v - 11*b + 11*b wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1789 + -1790. Let s(c) = -1. Let r(k) = 4*k**3 - 1. Suppose -4*i + 2*v - v = -6, -2*v - 6 = -2*i. Calculate b*s(h) + i*r(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -173\/2*i - 135*i**2 + 3\/2*i**5 - 33\/2 - 75*i**3 - 17\/2*i**4 = 0. What is i?\nAnswer: -3, -1, -1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**2 + 25*x - 128. Determine g(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.55 - 4.5. Let f = 8 + -4. Suppose w = 3, 0 = -p + 5*p + 4*w - 12. Sort p, j, f.\nAnswer: p, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 1 + 2)*(-8*p**2 + 15*p**2 + 4*p**2) + 2*p**2 - p**2 + 4*p**2)*(-1 + 1 - 1).\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -113820126 by -8130009.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 + 7*p**2 - 4*p + 7. Calculate r(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 + 227745?\nAnswer: 227746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1802 - 851. Let t = o - 639. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -11.9 and 1652237.\nAnswer: -19661620.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6e4 (base 15) in base 14?\nAnswer: 7da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(-6))**43\/(v**15*v*v**(6\/13)) assuming v is positive.\nAnswer: v**(3699\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 360296 and 270222?\nAnswer: 1080888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 471113 or 470200?\nAnswer: 471113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.82919 or -7.1?\nAnswer: 0.82919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 178 = -123 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -284 = 55*b - 1230139. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o = 49 - 53 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - 72) + 1126 + -1075?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**1*i)\/((i\/((i\/i**(3\/5)*i*i*i)\/i))\/i*i))\/(i\/i**8*i\/(i**(-1\/4)*i)) assuming i is positive.\nAnswer: i**(203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 48, 1, -2\/23 in decreasing order.\nAnswer: 48, 1, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -24131 + 23769. Which is greater: -392 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.13567 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v + 5*u + 3 + 12, 2*u = -2*v - 54. What is the units digit of ((-48)\/v)\/((-2)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -71 and -0.305413.\nAnswer: 21.684323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4328*a + 2544*a + 2087*a.\nAnswer: 8959*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 116347702?\nAnswer: 2, 3691, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1511011 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 2*c + 1980 = 4*p, 0 = -5*p - c + 4914. What is the smallest common multiple of 492 and p?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9064*s**3 + 29*s - 57?\nAnswer: -54384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 - 3.1. Let c = r + 0.4. Let k = -0.01093 - 0.18907. What is the biggest value in k, -9\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 9) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4.9 + 2.6. Let q = 219.4 - 217.134. Let p = o + q. Round p to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -443 + 245 - p + 220.\nAnswer: -p + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide (-132)\/(-24)*(-2 - -4)*138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2 - 0 - (2 - 12). Suppose 4*a - 2*o - 6 = o, -5*a = -2*o - 11. Let x = a + -1. Solve -2*b = x*b - u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1182 + 1736. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 16868306 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*y - 12 = 165. Let r be 54\/3*(1 - 4\/6). Calculate the highest common factor of y and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 + i**2 + 3*i + 3. Give y(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be 20\/(-70) - (-16)\/7. Let s be (f\/(-4))\/(3\/54). Let v be ((-6)\/s)\/((-14)\/(-21)). Let b(o) = -3*o - 1. Determine b(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from shhhhhsshhhshhhshhh.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 81449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from grggrggggggg. Give prob of picking 2 g.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3687744937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 66 = 5*n, 5*q - 30 = -2*n + n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 86*u - 91*u - 4 = -2*s, -2*s - u - 8 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*j**2 - 5*j**2 + 0*j**2)*(4 - 2 - 3)*(-19*j - 55*j - 15*j) to d*j**3 + p*j + z + g*j**2 and give d.\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2280 and 26982660?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 5*p = 0. Let u be (-2)\/(4\/((-4)\/(-2))). Let c = 0 - u. Solve o + p*o = c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -417635530 to the nearest one million.\nAnswer: -418000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from clccbldlebl.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000096251799 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -2, 3, 4, 19 in descending order.\nAnswer: 19, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 - 2*j - 14. Let m be f(13). Let i(y) = -y**2 + 3*y + 4. Let q be i(3). Suppose 112 = 4*g + 3*r, -q*g - r + m = g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 3*m = -21. Let g(y) = 5*y - 2. What are the prime factors of g(m)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*g + 39 = 20*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes before 6:00 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 1090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-20) - (-551)\/1160. Which is the second smallest value? (a) -24 (b) 4 (c) 2\/9 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 2 = a, 0 = 5*i - 10 - 5. Find the third derivative of -10*b**2 - 7*b**5 + a*b**6 + 7*b**5 wrt b.\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4018 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -11672320*j. Let i(d) = -3*d. Determine i(w(y)).\nAnswer: 35016960*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16*c*x**4 + c*x**2 - 56701*c - 25*x**4 - 100*x**3 wrt x?\nAnswer: 384*c*x - 600*x - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_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 y = 0.2 + -0.2. What is the nearest to -1 in y, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*b - 1 + 21. Let u be -3*(-6)\/36*50. Suppose -b*g - 5*d + 135 = -2*d, -u = -g + d. Calculate the greatest common factor of 20 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 11 + 7 + 55*v + 9*v)*(3 - 3 + 14*v) to the form a*v + q + p*v**2 and give p.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 2. Suppose -11 = t - 4*l, 5*l = -4*t + y*l + 32. Let h(c) = -8*c**2 + 6*c - 5 + 6*c**2 + c**3 - 4*c**2. Determine h(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18044161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*q**2 + 74*q**2 - 26*q**2 - 27*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000040391494 to 7 dps.\nAnswer: 0.0000404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 153\/7 - 22. Let l = 6847.8 + -6852.8. Which is the fourth biggest value? (a) l (b) 0 (c) -1\/10 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -122*y + 92 + 22*y + 46*y - 432 + 55*y.\nAnswer: y - 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddcfhdcdtccddc. Give prob of sequence ch.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1404785, 2809736, 4214687, 5619638?\n\"Answer: 1404951*y - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhbhhhhhhhhb. What is prob of sequence hhbb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 100404 (base 5) to base 16.\nAnswer: c9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2 + 44233732?\nAnswer: 44233730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 252*m**4 + 2104*m**3 + 704*m**2.\nAnswer: 4*m**2*(m + 8)*(63*m + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 - 7. Suppose -2*a + 0*k = -5*k + o, -2*k - 2 = -2*a. Put a, -2\/3, -5 in decreasing order.\nAnswer: a, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2498276 - -0.1.\nAnswer: -2498275.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1055*s*v**3 + 44072*s*v**2 - 3*v**6 wrt v.\nAnswer: 6330*s - 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 5*g + 3*t, -32*t + 12 = -2*g - 35*t. Solve g = -28*w + 22*w + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/196 (b) -40 (c) -33 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/16, -3, -49559 in decreasing order.\nAnswer: 3\/16, -3, -49559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -291*x + 280 = -251*x. Solve 0 = -g - 4*w + 16, x*w - 2*w - 20 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14*o + 13*o - 17*o)*(2 + 2*o - 2)*(-488*o + 2 - 17*o**2 + 488*o).\nAnswer: 612*o**4 - 72*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18325 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve n + 3*b = -5, -6*n + 9*n - 5 = b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, -0.4, 5712?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 630431 to the nearest 10000.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 AM and 9:52 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/2 + (-2 - 1). Suppose -j = -2*p + 13, -4*j - 5 = 2*p - 23. Calculate the least common multiple of u\/10 - (-13)\/2 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2095222.\nAnswer: 2, 313, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/3 + 2\/(-3). Suppose f = 3*w - 0*w - 45. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of v**3\/6 - 13*v**2\/2 - 2*v - 75. Let p(f) = -6. Determine 9*p(a) - 4*y(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5674.3 (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 3*w. Let b(i) = 6*i + 1. Let d(s) = 3*b(s) - 7*n(s). Determine d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o = 9*s + 304746 - 304729, s + 8 = o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 - 4. Let x be (-1)\/(q + -2 - 1). Let l(g) = 4*g. Let p be l(x). Solve -3*b - 16 = -r, -5*b - 43 = -p*r - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1193 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-95*d + 16*d + 55*d)*(2*d**2 + 2*d + 0*d**2 - d**2) to the form t*d**2 + c*d + n*d**3 + a and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16 and 746776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-8\/5))**12 assuming l is positive.\nAnswer: l**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -18*t**3 - 2*t**2 - t. Let u be p(-1). Suppose 4 + u = 7*j. Suppose k + 0*k - 4 = 0. Solve a - j*y - 12 = 0, -a + 10 = k*a - 5*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2283655079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 869342.3 decades to months.\nAnswer: 104321076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -19312.018233 - -19312. Round f to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.8560615mg?\nAnswer: 856.0615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 3*i - 375 = -0*q, 3*i = 5*q - 631. Suppose 3*z + 128 = 4*h, 4*z = 4*h - 0*z - q. Calculate the remainder when h is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.3, -1\/4, 2\/3, -11, -3, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7706 - 7794. Which is smaller: f or -87?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a = 3*a + 3*r + 27, -25 = 5*a + r. Let o = 0 - -6. Let n be o\/(-21) + (-6)\/(-21). Sort 1, a, n in increasing order.\nAnswer: a, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {n: 2, h: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 37220406170 - -17.\nAnswer: 37220406187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -17, 0, -0.8 in descending order.\nAnswer: 2, 0, -0.8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000031435324 to 7 dps.\nAnswer: 0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 189*r**3\/4 - 222*r**2 + 849*r\/4 + 171\/2 = 0 for r.\nAnswer: -19\/63, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 62*t**2 - 929. Let u(g) = -g**2. Give s(u(r)).\nAnswer: 62*r**4 - 929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -22*h**2. Let r(b) = 52045*b**2 - 4. What is r(s(f))?\nAnswer: 25189780*f**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1938 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -600*d + 14914 + 3855 - 169 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -3*k. Let c(i) = 2*i. Suppose -10 = 158*w - 156*w. Determine w*c(h) - 4*d(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 2*k - 184 = 0, 5*k - 1 = 2*r - 120. Suppose -5*c + 371 = -94. What is the highest common factor of r and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.05527 and -0.09?\nAnswer: 0.0049743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + 0 + (-20 - -20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 7*y + 667 = -29833, 3*b = 5*y + 22876. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*u + 108*u = 4*u + 230 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 u when three letters picked without replacement from {u: 2, x: 1, z: 2, g: 2, j: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*j**2 + j**2 - 2*j**2)*(1 - 3*j + 3 - 11)*(3 - 3 + 1) to the form f*j**2 + a*j + u + k*j**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 41 + -24. Let h = 16.962 - b. Let u = h + 5.038. What is the second biggest value in 3\/7, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 216*v + 16*v + 11*v + v**2 + 183*v + 59*v.\nAnswer: v**2 + 485*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 270 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*r**2 - 106*r + 84 = 0. What is r?\nAnswer: 14\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-2)*(-16)\/24*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -369 - -370. What is the nearest to v in 0, -1, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(425) + 2 - (5 + sqrt(612) + 2))**2.\nAnswer: 18*sqrt(17) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**3 - 10*w**2 + 23*w - 5. Let v be m(7). Let l(r) = -r**3 + 9*r**2 + 2*r - 6. Determine l(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-11\/2)\/(i\/i**(-22)) assuming i is positive.\nAnswer: i**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, 21, 11, 5, -5, 0.\nAnswer: -5, 0, 5, 11, 13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 14\/9 - 8\/9. Factor 0 + 4\/3*p**3 + c*p**2 - 2*p**4 + 0*p.\nAnswer: -2*p**2*(p - 1)*(3*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:09 AM and 10:16 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -16 take away 28?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 158*p**2 + 37*p - 70*p**2 - 95*p**2 - 318*p - 468*p + 2 to i*p + u + z*p**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 852*u + 0 + 706*u - 2399*u + 844*u + 0.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -6*k**2 + 4. Let t be c(2). Let y = -17 - t. Let b(n) = -10*n - 3. Let q be b(-3). Calculate the highest common factor of y and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3260 is divided by 121.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4816912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -1 - (-5 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4220 (base 7) in base 9?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 3 = -3*g - 5, 5*g + 4*c - 9 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes before 11:49 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/27*4\/(-32)*-9*(-248)\/3534.\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -158, -637, -1436, -2555, -3994?\n\"Answer: -160*f**2 + f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j, 0 = -6*u + u - j. Suppose -2*s - 145 = -3*p, 4*p - 212 = -2*s - u*s. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*h**2 + 63*h**2 - 5*h**3 + 7*h**3 - 29*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 0 = -4. Let t(z) = -3*z**2 + 1. Suppose -q + 1 = 2. Let f be t(q). Which is greater: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 286 and 36.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 180\/14 + (554 - 568).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 - 10*l - 18. Let n be o(-9). What is the third smallest value in 4, -1\/3, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - 0 - (-3 + -10) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -38889 and 1.306.\nAnswer: -50789.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37772.\nAnswer: 2, 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the first derivative of i**4\/4 + 4*i**3\/3 + 3*i**2\/2 + 4*i + 3. Give f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.06, -5, 0.443, -1.\nAnswer: -5, -1, 0.06, 0.443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the second derivative of -p**4\/84 - p**3\/2 - 34*p**2\/7 + 130*p. Factor c(f).\nAnswer: -(f + 4)*(f + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 + -7.4. Let b = -0.3 - k. Is b <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((-1*-1*(sqrt(13) + 0))**2 + (sqrt(637) - (1 + sqrt(637))**2)*2)*-1.\nAnswer: 70*sqrt(13) + 6315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 4*n + 7 + 2*n + 3*n + 602*n**4 + 10*n**2 - 603*n**4 - 5*n in the form l + o*n**3 + m*n + b*n**4 + x*n**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 662880 is divided by 313?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 9709307445?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 4 = 2. Let p(l) be the first derivative of -3*l**4\/4 - 11*l**2\/2 - 11*l - 5753. Let s(y) = -y**3 - 4*y - 4. Give f*p(z) + 8*s(z).\nAnswer: z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 2*w - 4*s, s = 5*w + 7 + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -208769156, -208769154, -208769152, -208769150?\n\"Answer: 2*f - 208769158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/(-13 + 1940\/150) - 1. Solve c = -2*a + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.20461472 to 4 dps.\nAnswer: -1.2046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 51982315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 855 and 665.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/20)\/(144\/45)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -3, 2.\nAnswer: -15, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2550 is divided by 524.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 225 - 111. Suppose -3*k - 4*q = -69, k = 3*q - q + 23. Calculate the remainder when w is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 4705 and 0.03.\nAnswer: 141.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02 + -2334483385?\nAnswer: -2334483384.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 129 - 21. Let z be (-4)\/6 + (-148)\/k + -3. Factor -2\/9*g**3 + 4\/9*g**2 + 2\/9*g - z.\nAnswer: -2*(g - 2)*(g - 1)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - 3 - ((17 - (0 - (11 - 15))) + -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -52 - -56. Suppose -100 = -c - u*c. Let d = -23 + c. Sort -3\/7, d, 6 in decreasing order.\nAnswer: 6, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -19*y**3 - 21*y**2 - 8*y. What is the units digit of k(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 86 = -t, 5*t + 7 = d - 18. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 3)*(j + 0 + 0) + (5 - 3 - 4)*(2*j + 12*j + j).\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes before 8:42 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the third derivative of 13*w**5\/12 + 250*w**2. Let c(y) = y. Give l(c(u)).\nAnswer: 65*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -10 - (-9 - (35 - 20))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 - 9. Let j = s + 6. List the prime factors of 23 + j*4\/12.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vzvwwuuuzzzuvw. Give prob of picking 2 v and 1 w.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 20 + -16. Suppose 0 = l - r*m + 7, 7 = 5*l + 5*m - 8. Sort l, 6, -5, -4.\nAnswer: -5, -4, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 - 8*r**2 - 2*r + 9. List the prime factors of c(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-930)\/(-124)*3\/18*-4. Let i = -0.264 + 2.564. Is i not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -839.09981415 + 839.1. What is y rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21912871?\nAnswer: 19, 1153309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2305500987?\nAnswer: 3, 768500329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4\/7, -19981, -1\/5, 129 in ascending order.\nAnswer: -19981, -1\/5, 4\/7, 2, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h**2 - 2*h**2 + 0*h**2)*(1 - 3 - 1)*(h**3 - 3*h**2 + 3*h**2).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -194 by 157.\nAnswer: -194\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9524 or 9500?\nAnswer: 9500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 286.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 4 = 3*m. Let c(g) = -g**2 - 5*g - 6. Let x(n) = -n**2 - n + 1. Let h(u) = m*c(u) - 6*x(u). Let r(z) = 3*z**2 + 5*z. Calculate 2*h(k) - 5*r(k).\nAnswer: -k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 1.287061 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 33 and 3342741.\nAnswer: 36770151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 68 - 32. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.1973 + 931.5973. What is d rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 2*m = 4, -4*r + m + 28 = 5*m. Let k(x) = -r + 3*x - 18*x**2 - 5*x + 0 + 5. Let c be k(-2). What is c rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 136 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2563\/13 + (-34)\/221 - 0 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 139743863 and 139743862 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 14 = 22. Calculate the common denominator of -11\/8 and (-2)\/(-146)*(-148)\/n.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 + 4. Let u(j) = -j**3 + 13*j**2 + 31*j - 435. Let b be u(9). Suppose m*x + b = 6*x. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*d**2*u**2 - 46*d**2*u - 411*d**2 - 2*d*u**2 with respect to u.\nAnswer: -4*d**2*u - 46*d**2 - 4*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -3774, -7556, -11348, -15156, -18986, -22844, -26736, -30668?\n\"Answer: -h**3 + h**2 - 3778*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the first derivative of 50 + 1\/3*n**3 + 11\/2*n**2 + 11*n. Let x be a(-10). Does -1\/72 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4\/3, -2, -0.2, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*z**3 - 1 + 10*z**3 + 1.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 57264 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 85063.1 rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.003258 to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 890.8 + -767. What is f rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**2 - 3*h - 172. Let f be c(-15). What is the highest common divisor of 245 and f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -23 + 26. Let p be (0\/g)\/(5 + -4). Let a(m) = p + 0 - 6*m + 8*m. Let w(i) = -10*i**2. What is w(a(j))?\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 137, 165, 241, 389, 633?\n\"Answer: 4*c**3 + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 g and 1 z when four letters picked without replacement from {r: 1, g: 10, z: 7}.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -105*l**4 + 21*l**3 - 24 - 6*l**2 - 108*l + 180*l**3 + 42*l**3 = 0.\nAnswer: -2\/5, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 397077 times -0.2?\nAnswer: -79415.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26\/10 + -5 - -2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 5*g**5 - 1015*g**4 - 7335*g**3 - 3305*g**2 + 32650*g - 21000 = 0.\nAnswer: -5, -4, 1, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 250 is divided by 243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 226501 or 226514?\nAnswer: 226514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -327 and -5.\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - -6 - -1) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 4*i**2 + 3*i + 11. Let n(p) = 5*p**2 + 3*p - p + 10 + 1. Let t(a) = -3*n(a) + 4*o(a). What is the smallest common multiple of t(-2) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand h**3 - 2*h**3 + 2*h**3 + 2*h**3 + 0*h**3 - h**3 + (-3*h**2 + h**2 + 0*h**2)*(30*h - 41*h - 22*h).\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = 50 - -100. Let p = -65 + k. What are the prime factors of p?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 5026844, 5026845, 5026846, 5026847?\n\"Answer: n + 5026843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes after 5:25 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w + 4 = -3*s, 3*w + 3*s = -3 - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the first derivative of -18*v**5\/5 + 11*v**4\/2 - 4*v**3\/3 - 19. Factor w(t).\nAnswer: -2*t**2*(t - 1)*(9*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -545 divided by 5\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 535547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/(-14) - 234\/14. Let i = 74 + m. Let w be i\/21 + 4\/14. Solve w*o - 2 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 832209*c. Let y(x) = -7*x**2 + 13. Determine p(y(l)).\nAnswer: -5825463*l**2 + 10818717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 848 = -0*p - 2*n, -4*p + 850 = 3*n. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2941805045?\nAnswer: 5, 588361009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -22*b - 187. Calculate j(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 - 1) + 0 - 0. Let g be 3\/(-2) - (-9)\/6. Let i be (-3)\/(-8) - g\/(-3). Which is greater: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4 - (2 - 2)) + -1*23. Which is smaller: a or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than -410359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -106.5 + 106.5. Which is the nearest to k? (a) 0.4 (b) -1\/4 (c) -5 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 4 + 2)*(-7 + 6*o + 7)*(4*o - o - o).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h**3 - 4821*h**2 - 483606*h + 121203 = 0. What is h?\nAnswer: -201, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l*l\/(l**5\/l)*l*l)\/(l*l**(-1\/7)\/l))\/(l\/(l\/l**(-1)))**(-20) assuming l is positive.\nAnswer: l**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -f + 17*o - 226, -102*f + 47 = -101*f + 4*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -413193 times 28?\nAnswer: -11569404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -105121 or -105119?\nAnswer: -105121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 214 = w, -5*w + 2*r - 1044 = -r. Let o be w\/(-22) - (5 - 2). Let h = 382\/55 - o. What is the nearest to h in 1\/5, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -75272422 rounded to the nearest 10000?\nAnswer: -75270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*l + 701 = -783 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (50\/(-1300)*2\/(-9))\/((-2)\/(-12))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5701\/5 + 63131\/55. What is the biggest value in 3, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 6 = 3*t, 4*t = -4*u + 3*u - 1. Let p(f) = -f**3 - f**2 - f + 35. Calculate the remainder when p(0) is divided by 1*(23 + 4)\/u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 28, 21\/10, 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -4 (b) 1\/6 (c) -0.174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 151*p - 881 = -5*y, -2 = -p - 5*p + 17*p - 6*p - 2*p + 4*y for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1091\/1870 - 9\/170. What is the third biggest value in -5, 0.1, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51\/2*(-74)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 333406154 to the power of 1\/2, to the nearest integer?\nAnswer: 18259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1120478585*p**4 - 1013*p**2 + 497230*p.\nAnswer: -26891486040*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes after 9:06 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 7*t = -4*w - 16, -3*w - 12 = -4*t. Which is the smallest value? (a) w (b) 0.5 (c) -3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 85606186*a**2 - 156608215.\nAnswer: 171212372*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1500)\/28 + (-3)\/7. Is ((-13)\/3)\/(2\/w) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 295*a = 258*a - 407 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 23*j + 59. What is a(-4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 472 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xwj when three letters picked without replacement from jnxxxxwsjixxxxn?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 74857, 157553, 240249, 322945, 405641?\nAnswer: 488337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the second derivative of 3*h**5\/80 - h**4\/16 + 5*h. Suppose k(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*5\/699*5746\/14365\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 350 and 150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 + 7. Let i be 208\/30*r\/6. Factor i*l + 25*l**4 - 18*l**2 - 5*l**3 - 8\/5.\nAnswer: (l + 1)*(5*l - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6211 - -13933. Let w = -555971\/72 + f. What is the common denominator of w and -77\/96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1 - 17)*(8\/16)\/1. Is p at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 118 + -118. Let q = 726\/5 + -146. Which is the closest to t? (a) 0.5 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 14601114 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -3*p**2. Suppose -2*z + 22 = 6. Let f(i) = 0*i**2 - 4*i**2 - i**2 + z*i**2. What is d(f(g))?\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -120331 (base 5) to base 8.\nAnswer: -10562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-1\/26)*c*c**(-1\/41)*c\/(c\/c**(-13))*c**(2\/7) assuming c is positive.\nAnswer: c**(-87881\/7462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -213*k - 24. Let y(z) = -26*z - 3. Let o(n) = -4*b(n) + 33*y(n). Give o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1796, 1802, 1798, 1778, 1736, 1666, 1562, 1418?\nAnswer: 1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 41*l**3 + 38*l**2 - 57*l - 14. Let t(h) = -21*h**3 - 23*h**2 + 28*h + 8. What is -3*o(v) - 5*t(v)?\nAnswer: -18*v**3 + v**2 + 31*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 284*i + 1156. Let j be v(-4). Solve j = 5*b + 5*u, -4*b - 8*u = -5*u - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r + r - 2*r)*(-2*r**2 - r**2 + 4*r**2) + (-4 + 5 - 4)*(-9*r + 3*r**3 + 9*r).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (33 - 6 - -17) + 6 + -21.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.4 in -24, 0, 0.4, -4973, 4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**2 - 10*d + 11. Calculate the remainder when 102 is divided by f(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2 - 453*t + 15357. Calculate g(32).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 4*c + 6 = -20, 20 = 5*f - c. Suppose -5*r + 190 = -p, -2*p + 101 = 6*r - f*r. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, 2\/5, -4.267?\nAnswer: -4.267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 147598570 to the nearest integer?\nAnswer: 12149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**3 - w. Let u(q) = -q**2 - q - 1. Let i = -512 - -513. Let r(o) = i*f(o) - 3*u(o). Give r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -97 divided by 1275698.\nAnswer: -97\/1275698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1584) + (sqrt(1584) - ((1 + sqrt(1584) + 1 - sqrt(1584)) + sqrt(1584))).\nAnswer: -2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 121 is divided by 7\/(2 - 279\/171)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -94263*z**4 + 275029.\nAnswer: -377052*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -27296 + 54690. What are the prime factors of w?\nAnswer: 2, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -44, 2, 7, -2, 16 in increasing order.\nAnswer: -44, -2, 2, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -2*f + 125. Let o(g) = 46677 - 2*g - 46677. Calculate o(x(n)).\nAnswer: 4*n - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -39\/7 in -2\/9, -0.1, -2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 6*p - 28. Let o be k(6). Suppose 0*v + v + i + o = 0, i = -4. Calculate the remainder when 43 + (3 - (-3 - v)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from ggiigi.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 486 is divided by 406?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand ((112 - 253 + 209)*(-3*t - 2 + 2) + 0*t + 0*t - 2*t)*(t - t - 2*t)*(2 - 1 + 1).\nAnswer: 824*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - -9) + -512 + 519.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 3*n**2 + 121850868*n + 1237302836029452 = 0.\nAnswer: -20308478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 83409994*j**3 - 21662877*j?\nAnswer: 500459964*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -3*g - 3. Let v be q(-2). Suppose 5*k + v*l - 31 = 0, -3*k - k + 4*l + 12 = 0. Suppose -9 - 16 = -k*a. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(1872) + (sqrt(1872) - ((-1 + sqrt(1872))**2 + -4)))*4.\nAnswer: -960*sqrt(13) + 37380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(84) - -3*(sqrt(84) - (sqrt(84)*1 - sqrt(84))) - (sqrt(84)*1 - sqrt(84))*5)\/((sqrt(84) - (sqrt(84) - -1*sqrt(84)))\/sqrt(7)*2) + 1.\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1518 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 8*n**2 + 397*n - 4232. Give m(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, 13\/6, -1\/67, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -9 + -4 + 2 + -5 + -12 + -11 + -11\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u + 48705 = -u. Is 4\/(-22) + (-2 - u\/(-33)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1708761 is divided by 854364.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 41350.9 + -3662\nAnswer: 37688.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -2, 9 in increasing order.\nAnswer: -6, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17.5 - 17. Which is the biggest value? (a) -4 (b) -1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 6 = 10. Suppose y*v = -2*l + 144, -5*v + 72 = 2*l - l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 2\/9 (b) -1 (c) 0.01 (d) 1 (e) -4 (f) 1087 (g) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/3)\/(1\/(-6)). Suppose -d*p + 4 = 12. List the prime factors of ((-1)\/p)\/(2\/96).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3008412 divided by -1.\nAnswer: -3008412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 448 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-575)\/20)\/(2035\/3256)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 - (-936)\/144)\/(10\/64).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 30*z - 5. Let w(i) = 17*i - 4. Let s(x) = -3*g(x) + 5*w(x). Let y(l) = l. Calculate -s(b) - 3*y(b).\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 3*t = -2*t - 24, 5*p = t + 74. Suppose 24 = 3*k + 3*u, 4*u + 109 = -k + 102. Let v = p - k. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 - 5*j**2 - 2. Let t be h(-4). Let c = 1 - t. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -148 - 159. Let l = -98 - h. Let f = l + -149. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 124724 (base 11) to base 12.\nAnswer: 95896","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Product of -8905 and 5.\nAnswer: -44525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 171 is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 763 a factor of 6743300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -29 - (-11)\/((-220)\/(-280)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 27287 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/7 in -1.5, -1010, -3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-50))\/((10 - 830\/75)*30\/40)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {i: 2, z: 5, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5896.4 - -5896. Which is the closest to -1? (a) o (b) 3\/7 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of -1 - (-46)\/42 - (-233519)\/231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 times -50414?\nAnswer: -25207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*a**6 - a**5 + 28977*a**4 + 36*a**2 + 438*a + 2 wrt a?\nAnswer: 360*a**3 - 60*a**2 + 695448*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**3 - 9*d**2 + 224*d + 38. Determine s(-19).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16 - -15. Which is the second biggest value? (a) -0.1 (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/104 and -62\/1833.\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -2*o - 115, 32*r - 176 = 3*o + 27*r. Let y = 249 + o. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 294 = 146*s + 1608 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 18 = 3*l + 2*g, l + 2 = 2*g. Let u(t) be the second derivative of t**4\/4 + 2*t**3\/3 + 2*t**2 - t. Let a(s) = -s**2 - s - 1. Give l*a(y) + u(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1\/2657232655 + -81935768911141\/15369433676520. Let p = l + -111\/241. Find the common denominator of -73\/36 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**2 + 38*l + 114. Suppose -2 = -h, 3*h + 7 + 22 = -m. Let w be g(m). Let n(y) = -y**3 + 10*y**2 - 8*y + 10. Calculate n(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*p - 3*p + 5*p + (-p + 0*p - 4*p)*(-3 + 4 + 0) + (2*p + 4*p - 5*p)*(1 + 1 - 1) + (-2 - 1 + 1)*(-2*p - p + 5*p) + 0*p + p + 0*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*m + 32 + 0*m + m - 35.\nAnswer: -5*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = i - 0*i - 482, 5*b - 476 = -3*i. Calculate the remainder when b is divided by (-2)\/13 - (-2898)\/78.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the third derivative of u**6\/540 + 5*u**5\/84 - 11*u**4\/126 + u**3\/2 + u**2 - 30. Let w(m) be the first derivative of t(m). Factor w(y).\nAnswer: 2*(y + 11)*(7*y - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -45 - -71. Let a(s) = -s**2 + 10*s - 3. Let d be a(10). Sort l, -2, d.\nAnswer: d, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 - 2. Let n(a) = 7*a**s + 4*a**2 - 4*a**2 - 5*a**2. Let b be n(4). What is the highest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a**3 + 6*a**3 - a**2 + 2*a - a**4 - 5*a**4 + 4*a**4 as l*a + z + q*a**3 + j*a**4 + x*a**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -178 divided by 49?\nAnswer: -178\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1388.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4 + (-28)\/12)*(1 + 11). Let y = n - -66. Let p be (-10)\/(-8)*(-14 - y). What is the second biggest value in -4, p, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is d in -d**2\/2 + 24*d - 126 = 0?\nAnswer: 6, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 41 - 38. What are the prime factors of ((j + -2)\/3)\/((-1)\/(-267))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 187 + -187. What is the closest to -2\/5 in k, -1\/2, 11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 9 - 15\/2*f - 3\/2*f**2 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9875464 and 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2662364920 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*q + 108*q = 52*q - 2465 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10434 + 4969. What are the prime factors of u?\nAnswer: 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 2*z**2 - 8*z + 7. Let s(n) = -n + 17. Let u be s(7). Is l(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 2*a**3 - 102*a**2 + 462*a - 24. Calculate the remainder when f(46) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 2:26 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = 4*b + 5*f, -17*f - 25 = 2*b - 22*f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 32*(-625)\/(-875)*(-210)\/(-50)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2358844 or 2358845?\nAnswer: 2358845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5192 + -5224. Sort -9, k, -2\/27.\nAnswer: k, -9, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(245)*3)**2 - (3*sqrt(245)*-1)**2) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is aa + 7?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a**2 + 8*a + 16. Let g be k(-2). List the prime factors of (g + 62 + -4)\/((-4)\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2297 + -2296.94. Which is the second biggest value? (a) -37 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 23*h. Let s(a) = -66*a. Let w(l) = 11*p(l) + 4*s(l). Let k(f) = -9*f**2. Calculate k(w(y)).\nAnswer: -1089*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -10260073 at least -41040293\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -384 - 196*l + 107*l**2 + 110*l + 32 - 257 + 85*l.\nAnswer: 107*l**2 - l - 609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 223.5614869 to two dps.\nAnswer: 223.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -151303641933.463 - -203229841.463. Let m = p - -151100410955.999999499. Let l = m - -1136. Round l to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 7 = -m + 2*l, -5*m + 4*l = 25. Let j = -82 + 138. Let p be (-30)\/j + (-6)\/(-21). Which is the second biggest value? (a) m (b) -2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -29503 - -33027. Which is greater: 14101\/4 or m?\nAnswer: 14101\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b\/(b*b**(-2\/5)*b*b))\/b*b)\/(b\/b**(-2\/15)))\/(b*b**(26\/3)*b*b*b\/(b**(-1)*b)) assuming b is positive.\nAnswer: b**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -34 and -0.046?\nAnswer: 33.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -583 at least -582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 115, 120, 135, 166, 219, 300, 415, 570?\n\"Answer: b**3 - b**2 + b + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*h - 5 - 6*h**3 + 51*h**2 - 150*h**2 + 40*h**2 + 48*h**2 + 4*h**3 to the form n*h**2 + f*h**3 + u*h + p and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2430909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 121 + -114. Let x = 13 - -19. Calculate the remainder when x is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 = 5*n + 128. Let x = n + 40. Factor 8\/7 + 16\/7*w + 2\/7*w**3 + 10\/7*w**x.\nAnswer: 2*(w + 1)*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -23*m + 8. Let o(p) = 35*p - 13. Give 5*o(y) + 8*u(y).\nAnswer: -9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*(y\/(y\/y**(-1\/28)))\/y*(y**(1\/3)\/y)\/y)\/(y**(-2\/7)*y**5\/y) assuming y is positive.\nAnswer: y**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1750\/17 less than 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 4. Suppose 5*t + 5*o = -25, -3*o = -t - 0 - 5. Let z(u) = u**2 - 7. Give t*k(f) - 3*z(f).\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be 63\/(-14)*(4\/(-3))\/2. Suppose f = 2*b + u, -2*b + 5*f - 4 - 11 = 0. Suppose 2*a + 0*a - 28 = b. What is the highest common factor of a and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d**3 + 3*d**2 - 2*d. Let x be f(1). Factor 0 + 1\/5*s**x + 1\/5*s.\nAnswer: s*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -4*v. Let x be 2\/18 + 1\/(-9). Let w(q) = -6*q + x*q + q + q. What is w(l(b))?\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 263 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34 - g**2 + 30 + 12*g**2 - 2*g - 13 - 3.\nAnswer: 11*g**2 - 2*g + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -29 + (44 - (-20 + 20))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 8.4 and 2.9.\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 36 and 756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-125 + s**2 - 2*s - 99 + 190)*(14 + 8 + 26 - 6).\nAnswer: 42*s**2 - 84*s - 1428","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the first derivative of -15 - 1\/2*y**2 + 0*y. Let i(f) = -26*f. Give w(i(o)).\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 21833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence isjw when four letters picked without replacement from iswhhjds?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -2*l**2 + 13*l + 7. Let u(w) = -w**2 + 7*w + 4. Let i(n) = 4*c(n) - 7*u(n). Let b be (-2)\/10 + 4\/(-70)*-56. Calculate i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 528 - 528 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1204415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q**4 + 825567*q**3 - 56815310124*q**2 + 2555053768848*q - 2498239284288 = 0.\nAnswer: 1, 44, 137572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4.9 - 4.5. Which is the second smallest value? (a) -4 (b) x (c) -16\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 4 - 5 - 1 - x + 8*x**2. Let h be u(2). Calculate the smallest common multiple of (-6)\/14 + 152\/h and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the third derivative of 7*g**6\/200 + g**5\/20 - g**4\/20 - 8*g**2. Solve y(j) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 - 7*a + 3. Let y be h(7). Suppose -64*k = -62*k - 24. Let v be y + 3\/k*0. Put v, -3, -2 in ascending order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = 6*q - 15. Suppose -2*p = p. What is the closest to q in 4, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y + 1. Let m(s) = 6*s - 9. Let b be 6 - 9 - (-3 + -2). Let j = 11 - b. Calculate j*z(k) + m(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 2*f = -12. Let a = -4 - f. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/3*12\/8. Let z be h - -2 - (4 - 3). Solve -f - 1 = 0, z*t - 5*f - 4 - 16 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22619621.\nAnswer: 22619621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence heno when four letters picked without replacement from {e: 5, m: 2, h: 1, o: 3, n: 1}?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add together 40074931 and -0.4.\nAnswer: 40074930.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from sbbqqqshqbqbbqqqi?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 161.559815 * 4\nAnswer: 646.23926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 24, 10, 0, 6, 40, 114, 240, 430?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.04215 and -0.2.\nAnswer: 0.00843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 141042?\nAnswer: 2, 3, 11, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12 - 7. Suppose -u*n - 9 - 16 = 0. Let r = n - -7. What is the smallest common multiple of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and -0.0572.\nAnswer: 0.1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the first derivative of -4*m**2 - m + 3. What is the units digit of n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 47*x**2 + 2 + 2*x - 2*x - 211 wrt x.\nAnswer: 94*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange c**4 - 2 - 6*c - 2*c - 3*c**3 + 10*c to the form l*c**2 + b*c**3 + r + n*c**4 + d*c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes before 12:41 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 + 18 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1272 and 2274336?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2410*j + 2419*j - 4888*j.\nAnswer: -59*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2256 - 2260. Let g(f) = -f**3 + 5*f**2 - 5*f + 2. Let r be g(3). Sort y, -3, r.\nAnswer: y, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*13\/(130\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 9 = -c - 1, 5*f + 10 = -c. Let b be c\/(-55) - 62\/(-22). Suppose -5*p = -2*q - 0*p + b, -p = q + 2. Put q, -0.1, -0.5 in decreasing order.\nAnswer: -0.1, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1865379 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 50*f - 4. Let j(q) = q**2 + 7*q + 63. Let c(w) = 4*w + 36. Let z(n) = 7*c(n) - 4*j(n). Give z(d(x)).\nAnswer: -10000*x**2 + 1600*x - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ezvka. Give prob of sequence ze.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 125, 122, 125, 140, 173?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -17111845 divided by 1643\nAnswer: -10415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 1 + (2 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2699 + -2698. What is the third biggest value in 0.4, y, 0.5, 149?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 21754406.\nAnswer: 3\/21754406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(76)\/(sqrt(40)\/sqrt(10)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 182735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 1183522.29 to the nearest 1000.\nAnswer: 1184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2284*h**3*r*z**2 + 66*h**3*z + 5*h**2*r*z - 10*h**2*z**2 + 2118*h*r*z**2 wrt h?\nAnswer: 13704*r*z**2 + 396*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from vwvwvwvvvvvvvv?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26937660.\nAnswer: 2, 3, 5, 269, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 + -3. Let z = d - 1. Let y = -8.9 + 8.6. Which is the third biggest value? (a) y (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 13*x. Let j(g) = -g + 461. Calculate i(j(k)).\nAnswer: -13*k + 5993","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 790663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*x - 2*x**3 - 2*x)*((4*x - x - x)*(-4 - 2 + 4) + 3749 - 3749 + 1370*x)*(-1 + 1 + 2) to z*x**4 + w + j*x**3 + n*x**2 + f*x and give z.\nAnswer: -5464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4, -7, -18, -43, -88, -159, -262?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1916129850?\nAnswer: 2, 3, 5, 383, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1769806528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 49 <= 2107\/2300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -40 - 32. Suppose -5*w = 2*l - 11, 5*l = -4*w + 1 + j. Solve 0 = l*h - 2*h + d - 1, 5*h - 13 = -3*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 10*a = 225. Let q be (-2 - a) + -3 + 0. Suppose 130 = 5*m - 5*u, u = -2*m - 0*m + q. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, -1\/4, -1\/3, 30, -5, -33?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeeewwweeweweee. Give prob of sequence we.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**2 - 15*q - 40. What is l(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 252 divided by -3\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 29? (a) 2\/13 (b) 4\/3 (c) 3\/13 (d) 12 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 17 + 3. Suppose -5*s - 2 = 2*c + c, 5*s + 2*c = 2. Suppose 4*p + 2*o - 28 = 0, s*o - 25 = -3*p - 5. Calculate the greatest common divisor of p and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*c**2 - c + 3*c - 2*c - 3367 + 2*c + 3387.\nAnswer: -38*c**2 + 2*c + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**3 - 48*n**2 + 169*n - 11904. Give k(-55).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**3 + 10*t**2 - 9*t. Let x be (18\/(-4))\/(2\/(-4)). Let r be s(x). Solve r*p + 4 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (41 - -3)\/((-12)\/(-42)). Calculate the highest common factor of 539 and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10)\/(-4)*4\/35. What is the closest to 0.2 in y, 0.4, -3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3 + 25*j**2 + 52*j - 682. What is o(26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 34781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 93703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110 is divided by 93?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3680959902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be 18*3\/9 - -5. Suppose m*j - 7*j = 5*t - 4744, 4*t - 3797 = 5*j. Is t a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1447477510 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes after 5:49 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5.95 + 0.05. Let j = t + -5. Which is the biggest value? (a) j (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2221021201 - -10222?\nAnswer: 2221102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2 - -4)\/(4\/(-2) + 3). Let v be (8\/q*-1)\/(6\/(-9)). Suppose 6*l - 360 = v*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - p - 105 = 0, -k + 123 = 2*p + 3*p. Suppose -7*z = -3*z - k. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5829.58951 to the nearest one hundred.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 + 1. Let f = 0.4 - 0.2. Suppose 3*q - 15 = -3. What is the biggest value in q, f, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8639528ns to microseconds.\nAnswer: 0.0008639528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -2*i + 14. Calculate u(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 7*h**2 + 46*h - 15. Is 16 a factor of a(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 14, i: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -11781.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d**3 + 5*d**3 - 2*d**3)*(4*d - d - 18*d) - d**4 + 3*d**4 + 7*d**4 + (2*d**3 + 2*d**2 - 2*d**2)*(5*d + d - 5*d).\nAnswer: -19*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 50*z - 23. Let u(n) = -19*n + 8. Let y(o) = -3*i(o) - 8*u(o). Let a(l) = l**2 + 96. Give a(y(v)).\nAnswer: 4*v**2 + 20*v + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1747\/14 + 1150\/7. Let t = 68 - 28. Calculate the common denominator of 1 - 1 - 38\/t and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26418155.4 milliseconds in days?\nAnswer: 0.3057656875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11968439 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4.22 - 4. Let v = -0.08 - p. Which is the nearest to -0.1? (a) 0.5 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/((-1)\/6*3). Suppose -3*w + j*w = -10*w. Sort 6, 1, w, -2\/7 in descending order.\nAnswer: 6, 1, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*u**2 + 174*u - 2523 = 0. Calculate u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 6 = 5*y. Let c be ((-4)\/(-3))\/(4\/6). Find the second derivative of -p + 4*p**3 + 3*p - p**c + p**y wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 155\/78 and (85\/20 - (-4 - -1)) + -4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i*i**(-2\/7))**(24\/11))**(-2\/107))**43)**38 assuming i is positive.\nAnswer: i**(-392160\/8239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add 1087695808 and 14.\nAnswer: 1087695822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 5*r = 2*x - 109, -4*x + 5*r + 233 = 0. Factor 15*n**4 + 12 + 29*n**2 + 46*n**2 + 3*n**5 + 6*n**4 + x*n**3 + 48*n.\nAnswer: 3*(n + 1)**3*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the third derivative of -1\/18*f**4 + 1\/9*f**3 - 32*f**2 - 1\/315*f**7 + 0 + 0*f + 1\/90*f**6 + 0*f**5. Factor v(c).\nAnswer: -2*(c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 157 - 51 = 2*m. Let g = m + -37. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 70724160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times 86523?\nAnswer: -173046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 143719243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 4930 - 602 = -x, -5773 = -4*h - x. Calculate the greatest common divisor of h and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7320*k - 1728*k - 21*k**3 + 743*k - 14*k**3.\nAnswer: -35*k**3 + 6335*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 26, -0.053331, -1.6?\nAnswer: -0.053331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*l + 26*l - 65. What is the remainder when 1 + (-1)\/((-2)\/22) is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1400040 (base 6) to base 3.\nAnswer: 10221200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, s: 9}. Give prob of picking 2 s.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 12*w**2. Suppose 4*y = -0*p + 5*p + 36, 2*p = 0. Let t(j) = j**2 - 2*j**2 + y - 9. Give l(t(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + x - 5*o + 19 = 0, 2*x + 2*o = 16. Suppose -5*q = 4*t - 3, 5*q + 1 - 22 = 2*t. Solve 0 = q*n - 6 + x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10260 and 1404?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1015 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the second derivative of -z**4\/12 + z**3 + 4*z**2 - 2*z. Determine p(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-16)*(-516)\/5 - 12.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 80\/14 + 3 + (-95)\/35. Solve h*o = 3*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of 0*j**3 + 0*j + 11\/24*j**4 + 0 + 16*j**2. Let l(g) = -2*g. Determine l(y(b)).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 82\/915 and 79\/43920.\nAnswer: 43920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2567329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89 - 39 = -4*r. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*z - 49 = -12*z - 5*i, -5*i = -5*z + 95. Solve -s + 4*s = -3*v - z, -17 = 4*v - 3*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 + 48*g**2 + 92*g. Let o be u(-46). Suppose 3*m = 4 + 8. Put 2, m, o in increasing order.\nAnswer: o, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 621 divide 2774246706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 316810?\nAnswer: 2, 5, 13, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -6584, -12971, -19358, -25745, -32132, -38519?\n\"Answer: -6387*o - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.3 (b) -0.5 (c) -13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the second derivative of -603*c**5\/5 + 477*c**3\/2 - 11788*c. Find the second derivative of y(t) wrt t.\nAnswer: -14472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.7*4763746\nAnswer: -3334622.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*z**3 - 246472*z**2 + 39117015*z - 1544139450 = 0 for z.\nAnswer: -15562, 315\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/36? (a) 1 (b) 3 (c) -20\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1613358785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -115.0179 to 1 dp.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23 - (5 + 26 + 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n**3 + 35*n**2 + 42*n - 89. Is h(36) a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -245.\nAnswer: 4\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 AM and 5:20 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -127 + 1460*q + 1476*q + 75 + 52.\nAnswer: 2936*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fifty-one fifths of a millimeter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -478 = 98*w + 141*w + 3346 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*y - 17 = 4*y - 3*y - 3*o, 29*o + 12 = -y + 31*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 88, 177, 256, 319, 360, 373, 352?\n\"Answer: -a**3 + a**2 + 93*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 283*k + 390. Let z(a) = 280*a + 387. Let m(b) = 5*g(b) - 4*z(b). Find the first derivative of m(x) wrt x.\nAnswer: 295","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 53090 + -23844. What are the prime factors of j?\nAnswer: 2, 7, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 417077 is divided by 1048?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 51.55968 nanometers?\nAnswer: 0.05155968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 - -9. Suppose 91 = p*d + c, -d + 23 = -0*d + 4*c. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2403304 and -0.4?\nAnswer: 961321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -46 divided by -23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 44061 and 2188363?\nAnswer: 6565089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.4 - 3.7. Let j be (-6)\/20*(0 + (-30)\/(-36)). Which is the nearest to j? (a) -2\/5 (b) v (c) -1\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-4 + sqrt(245) + sqrt(245) + 2 + 2)**2.\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2\/(-6))\/(2\/4). Let s be (-1 + 0)\/((-24)\/18). Let w = -25 + 129\/5. Which is the closest to v? (a) s (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -18, 4, 5 in ascending order.\nAnswer: -18, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 31, -26, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -190*n + 10*n + 1 + 150*n - 1. Let a(h) = -17*h. Determine l(a(z)).\nAnswer: 510*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -32783625 or -32783620?\nAnswer: -32783620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k + 3*k - 97 = -5*d, -d + 13 = -4*k. Let q = 39 - d. Calculate the remainder when 88 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 + -16 - (-1 - -1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 333386, -8\/7, 1\/4?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*j + 0*j = 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 212 a factor of 113208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 10 = 37. Let u be g\/((-108)\/16)*(-2)\/4. Let v = -0.206 - -0.706. Sort v, 24, u, 0.2 in descending order.\nAnswer: 24, u, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the third derivative of 1\/42*b**7 + 5\/12*b**5 + 0*b - 1\/4*b**6 + 0 + 0*b**4 + 77*b**2 + 0*b**3. Factor q(o).\nAnswer: 5*o**2*(o - 5)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 25 = -5*v, -9*c - 12*v + 7*v = 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**2 + 6*p. Let y be d(6). Let m = -3 - y. Let n = 2.6 - 0.6. Sort 5, n, m.\nAnswer: m, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 234902708 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 + 3*y**2 - y + 7. Let v be p(3). Suppose -v*b + 5*j - 7 = 0, 5 = 4*b + 2*j - 3*j. Is 3\/2 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y + 2*j = 30, 63*j - 55 = -5*y + 58*j for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + 0 + 37 + -36 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 515*r + 555 + 475 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from {j: 5, v: 1, e: 9, x: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28631 divided by 28631.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*g**3 + 5*g**4 - 6*g**3 + (-13*g + 2*g - 4*g)*(-13*g**3 + 5*g**3 - 10*g**3).\nAnswer: 275*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4937.8594057 and -1?\nAnswer: 4938.8594057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from {h: 2, z: 2, e: 5, u: 4}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be 17*(-676)\/(-24) + 5\/30. Let t = -234 + g. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (12*b**2 + 11*b**2 + 18*b**2)*(0*b + 5*b - 2*b) in the form u*b**3 + h + f*b + p*b**2 and give u.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.24 + 1.14. Let r = -19.3 - -18. Let z = r + n. What is the second smallest value in 0, 0.3, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -163\/586644 and -41\/293322.\nAnswer: 586644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(-7)*h)\/h*h**(1\/11) assuming h is positive.\nAnswer: h**(89\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 22208, 44374, 66514, 88628, 110716, 132778?\nAnswer: 154814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 - -7 - (-8 - (4 + (-8 - -3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -14, 231, 896, 2191, 4326, 7511, 11956?\n\"Answer: 35*y**3 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1934025121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(6*-1*sqrt(891)*3 + 6*-6*(1*sqrt(891))**2) + -4)*2.\nAnswer: -320768 - 1620*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -r**2\/5 - 49*r\/5 - 94\/5 = 0.\nAnswer: -47, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -692.165 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = j - 2*t - 5, 3*j - 14 = 5*t. Suppose -6*s + 7*s - 2 = 0. Solve -s*b + 5*b = 5*q - 15, q - 3 = j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 172 + -169. Sort -0.2, -6, j, 1\/2 in ascending order.\nAnswer: -6, -0.2, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19854 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 839646.\nAnswer: -1\/419823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 51982\/1551 - 32 - 8\/6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -4*y**2 + 103*y + 1525. Let w be k(-21). Is -2401 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 38, -90, -8, 5, 2, 1 in increasing order.\nAnswer: -90, -8, 1, 2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(190) - 4*(sqrt(190) + sqrt(190) + -2*sqrt(190)))\/(sqrt(160)*3).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -9*s - 29. What is j(7)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 16*c**3*j - 50*c*j**2 + 6*c*j - 2*c - 106*j**2 + 143 wrt c?\nAnswer: 48*c**2*j - 50*j**2 + 6*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 1709979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**2 - 12*k + 3. Let u be c(-4). Let z be 2*(-3 + u\/11). Let 2\/11 + 2\/11*q**4 - 4\/11*q**5 + 8\/11*q**3 - z*q**2 - 4\/11*q = 0. What is q?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**2 + 7*z - 20. Let y be v(-9). Let d(x) = -3*x - 2. Let p be d(y). Suppose -5*f + 268 = p*q, 0 = 3*q - 6*q + 2*f + 201. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + -2 + 96 + -124?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2653 + -2654.3. What is the smallest value in q, 0, 0.26?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 48 + 0 = 0. Suppose -x*m + 17*m = 0. Let i(l) = 2*l - 4 + m*l + 4. Let r(p) = -p. Give r(i(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 52.28465 years?\nAnswer: 627.4158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-1 + sqrt(468))*3 + 5 - (-1 + sqrt(468)*-2*-1*1).\nAnswer: -9 + 78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 5*o - 7. Let n(f) = -1. Let h(i) = 4*n(i) - s(i). Let u(j) = 10*j - 4. Let m(r) = -r. Let k(d) = 5*m(d) + u(d). What is -4*h(l) - 3*k(l)?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let r = 0.4 - 0.5. Let a = 3601.2 + -3601. Let s = 2 - -1. What is the closest to a in r, s, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -10 - 26) + -145 + 145.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 7*f**2 - 5*f - 85. What is the remainder when b(-6) is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 623 - 617.576. Let v = j + -0.024. Let g = v + -5. Sort g, -0.2, 11 in descending order.\nAnswer: 11, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 26, 118, -5 in decreasing order.\nAnswer: 118, 26, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 956.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 11 = -6*g. What is the second smallest value in 0.1, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7801200 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -9, 0.5, -2\/11, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 16963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of o**4\/12 + 3*o**2\/2 + o. Let p be q(0). Suppose -2*t = 3*n - 0*n - 31, 32 = p*n + t. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 - 1 - 7 - 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4335959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*p - 2*p**4 - 12*p**2 + 6 + 6*p**2 - 18*p**2 + 22*p**3 + 22*p**2 to the form n*p**3 + z*p**4 + t*p**2 + a*p + m and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*p**3 + 21*p**3 + 30*p**3)*(4 - 2 - 3)*(15 + 11 + 20).\nAnswer: -2024*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 485 by -97.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -1326498 by -1.\nAnswer: 1326498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 3*b**2 - 33240*b - 232827 = 0.\nAnswer: -7, 11087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -56558, -113102, -169636, -226154, -282650, -339118?\nAnswer: -395552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 92647 + 12?\nAnswer: 92659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(104)*3 - sqrt(104))\/sqrt(8) + sqrt(52) + 3)**2.\nAnswer: 24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*-6*sqrt(3200).\nAnswer: -480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/(-5))\/(0 - -2) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-2)\/10 - (-321)\/60 and (-20)\/15 - (-58)\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence utq when three letters picked without replacement from frqfffffquuqfqttu?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 17598 and 70?\nAnswer: 87990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -10979, -21959, -32939, -43919, -54899, -65879?\n\"Answer: -10980*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**3 + 2*y**2 + 4*y - 10. Let j = 5500 - 5497. Calculate g(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 45196, 90615, 136034, 181453?\n\"Answer: 45419*v - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21110 - -11121?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dcz when three letters picked without replacement from cdcz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -615*y**4 - 15522*y wrt y?\nAnswer: -7380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/148 and -85\/74.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*g - 285 + 66 + 103 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1177 - 1152 - 2*f + f.\nAnswer: -f + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**3 + 4*u**2 + u - 1. Let v be n(-2). Suppose -v*k + 35 = 3*b, -3*k + 2*b = -0 - 2. Solve 15 = s + k*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -19*r - 5. Let j be m(5). Let n = j + 105. Suppose 0 = 3*b + n*x - 2968, 0 = 2*b - 4*x - 1098 - 888. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*f - 5 - 4*f + 3 + 4*f + 3*f - 5*f + 10*f - 42*f - 111*f - 2*f + 4*f - 4*f - f - 2*f + 2*f + (-2*f + f - f)*(-3 + 2 - 1).\nAnswer: -141*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*s**2 + 18*s + 6*s**2 - 12*s.\nAnswer: 6*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 222, 449, 688, 945, 1226, 1537, 1884?\nAnswer: 2273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 101221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*x + 3104 - 5720 = 0 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54 = -9*h + 6*h. Let l(m) = -11*m. Let s be l(1). Let b = h + s. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 - 1. Suppose 0 = 3*b + 2 - 11. Let f = 7 - 2. Solve 10 = 5*n - s + c, b*s + 17 = f*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + -2 + 0 - (60 + -56)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (0 - 8) + 8 - (0 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2554115 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 - -5. Suppose z + 2*z - 6 = 0. Let d(q) = 8*q**2 + 3*q - 3*q**z - m*q. Give d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3110819 and 3565?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*a*c*d**2*m + 7456722*a*c*m**2 - 436*a*d**2*m + 40*a*d*m**2 + 416*a*d*m wrt c.\nAnswer: 3*a*d**2*m + 7456722*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -844574 take away 0.3?\nAnswer: -844574.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1, -3, 3, 25, 69, 141?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -3*z + z + 4*z - 16 - z. Let t be p(16). Let m(y) = y**2 + y - 9. Calculate m(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5278404, 10556886, 15835368, 21113850, 26392332, 31670814?\nAnswer: 36949296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -195 - 229. What are the prime factors of k?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11541.\nAnswer: 3, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (46\/(-5))\/((-2)\/10) is divided by 1 + 1 + 28\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b*(b*b\/b**(-45))\/b)*b*b*b**(-40\/9)*b\/(b**(-15)\/b*b)*b\/(b\/((b**36*b)\/b)))**22 assuming b is positive.\nAnswer: b**(704\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/1182 and 33\/2758?\nAnswer: 8274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 152663\/18 - 8473. Let q = 5525 + -33257\/6. What is the common denominator of q and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 94 + 15?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*l - 2*l**2 + 0*l + (-4*l + 3*l + 3*l)*(-3*l + 4*l + 0*l + (-3 + 13 + 13)*(-4*l + 4*l + 3*l)) to p*l**2 + g*l + b and give p.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-850)\/(-20))\/(-17)*4\/(-5). Let v(r) be the second derivative of 1\/40*r**5 - 4*r + r**3 - p*r**2 + 0 - 1\/4*r**4. Factor v(x).\nAnswer: (x - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -9*o**2 - 16*o + 2. Let i(g) = 8*g**2 + 15*g - 1. Let a(p) = 5*b(p) + 6*i(p). Suppose 1481 = -380*y + 972 - 1011. Determine a(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8024 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*j + 13 + 2*j**4 - j**2 + 0*j**2 - 10 to the form r*j**2 + s + z*j**4 + d*j + o*j**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 + 1 + (4 - 1). Solve -3*g - 5*y - 7 = 0, -g - y + v = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3893963769 to the power of 1\/3, to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 38372050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 991672992 divided by -288.\nAnswer: -3443309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does -2726 = -2737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2252 (base 12) in base 11?\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*k*q**2 + 2*k*q + 161659*k - 8*q**2 - 136*q with respect to q.\nAnswer: 20*k*q + 2*k - 16*q - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4560 and 5080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18 - 23 + d**2 + 2*d**2 to the form a*d**2 + v + y*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -2*z**2\/21 + 2342*z\/7 + 3035756\/21 = 0.\nAnswer: -389, 3902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 798763 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/7, 3, 11697, -2, -4, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5193?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -124*d - 25. Let j be p(-5). What is the greatest common divisor of 35 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 - (1 - 1 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 165.71 - 165.7. What is the nearest to 1 in -2, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the third derivative of l**5\/60 - 5*l**4\/12 + 25*l**3\/6 + 16*l**2. Solve b(m) = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -462880*f**2 + 7*f - 10130 wrt f.\nAnswer: -925760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 0, -185, -506, -969, -1580, -2345, -3270?\n\"Answer: -b**3 - 62*b**2 + 8*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 6878*w - 4 = 6882*w, -2*f - 35 = 4*w - 1 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1288096.8800014 + -1288097. Let c = 0.02 - 0.14. Let s = c - w. Round s to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 8930174*v. Let g(b) = -b**2. Calculate h(g(q)).\nAnswer: -8930174*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uufv when four letters picked without replacement from {f: 2, v: 7, u: 3}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -270, -540, -810, -1080, -1350?\nAnswer: -1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/201 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -112101 (base 5) to base 15.\nAnswer: -12d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21401?\nAnswer: 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 296 = 308. Suppose -n*w = -219 + 129. Calculate the remainder when 148 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 387 a factor of 7363449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 20*v**2. Let f(u) = 23235236*u. Give f(w(q)).\nAnswer: 464704720*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 955366*-3\nAnswer: -2866098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 - -5. Suppose v - 10 = -5*y, o*y - 5*v = -y + 34. Suppose 0 = 13*t - 8*t. Solve -2 = y*l + n + 3*n, t = 2*l + 4*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h**2 - 25836*h - 25839 = 0 for h.\nAnswer: -1, 8613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -44*v**2 - 18*v - 4. Let p(f) = -17*f**2 - 6*f - 1. What is 3*o(r) - 10*p(r)?\nAnswer: 38*r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (35*p - 172 + 172)*(4*p**3 - p**3 - p**3) + 2*p**4 - p + p + (5*p**3 - 4*p**3 + 5*p**3)*(3*p + 12*p - 6*p).\nAnswer: 126*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 26229 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5304 + -5302. Which is the fifth smallest value? (a) -6 (b) 5 (c) -1\/2 (d) r (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15.7 - 10.7. Which is the second biggest value? (a) 3 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 less than -3175625?\nAnswer: -3175624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-3))**(-25\/2)*n**(2\/7)*n**(26\/7) assuming n is positive.\nAnswer: n**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 993611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.535? (a) 3 (b) -1.1 (c) -5\/3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 81*s**2 - 836*s**2 + 756*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1\/3, 5, 0.08 in decreasing order.\nAnswer: 5, 1\/3, 0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 28*r - 24*r. Suppose r*o - 2*o - 28 = -5*f, o = f - 8. Suppose -9*y + 25 = -4*y. Solve 6 = y*b + 2*t, 0 = -2*b - f*t + 2 + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -8*z + 69. Let i(x) = 3*x - 35. Let o(d) = 11*i(d) + 6*u(d). Let a be o(2). Let t(f) = 2*f**3 - f**2 - f. Give t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 450 - 22153?\nAnswer: -21603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - d + 354 = 0, -2*d + 133 = -5*z + 569. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-665)\/(-490) - (-2)\/(-4). Which is the second smallest value? (a) -5 (b) i (c) -0.02 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 + 15*u + 25. Let g be o(-13). Let q be 121\/(-88) - g - (-86)\/16. Solve 0*r = q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*m + 3 + 1102 = -57*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -7, 155, 431, 827, 1349, 2003, 2795, 3731?\n\"Answer: l**3 + 51*l**2 + 2*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*n**3 - 5*n**4 + 8*n**3 + 2*n**2 - n**4 - 2*n**2 + (8*n**3 + 3*n**3 - 4*n**3)*(1 - 2*n - 1).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = i + 2. Suppose 0 = 3*o - 2*o - 2*w - 44, -60 = -2*o - 3*w. Let m = o - i. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from hssnszihshssnshzzhii.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the second derivative of -134*f + 1\/20*f**5 - 8*f**2 + 0 + 11\/2*f**3 - 3\/2*f**4. Suppose k(t) = 0. What is t?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3724 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 591\/(-10)*(-24)\/18*95\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -4 + 0 + (-7)\/(-7). Let j(g) = -g**3 + g**2 - g + 1. Let s be (0 + 1)*(4 + -2). Let m be j(s). Put m, n, 2 in descending order.\nAnswer: 2, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 74*u - 204 = -788 - 452 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cccccccccccccclcclcc. Give prob of sequence cl.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2\/5 + 291*w\/5.\nAnswer: 3*w*(w + 97)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/24 of a week in minutes?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 2808.46mg to micrograms.\nAnswer: 2808460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 381, 761, 1155, 1563?\n\"Answer: 7*h**2 + 359*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 162 - 139. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 - 244?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmymkvvmmymmrl. What is prob of sequence vlk?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the third derivative of -o**5\/60 - 5*o**3\/6 - 7108*o**2. Let m(f) = -2. Let w(n) = 4. Let u(z) = -5*m(z) - 2*w(z). Give -4*h(y) - 10*u(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 46 = 18. Let j = 30 - p. Suppose 92 = -j*n + 4*n. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -2*y**2 + y - 56. Let p(k) = k + 14. Determine -12*p(b) - 3*v(b).\nAnswer: 6*b**2 - 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -23, 11\/4, 0.4, -3\/5, 0.03, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 316092 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-2\/5)*(g**(-6)*g)\/g*g*g**(-1\/4)*g\/(g**(-3\/8)\/g)*((g*g*g**(-1\/3)*g)\/g)**(-7\/3)\/(g**(1\/2))**(-2\/9) assuming g is positive.\nAnswer: g**(-2539\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((sqrt(44) + 0)*-5*-3)**2 + (4*-4*(sqrt(44) + sqrt(11)))**2 + -2.\nAnswer: 35244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes after 4:20 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 382710.\nAnswer: 2, 3, 5, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.1 - 6.9. Let q = d - -9. Is q < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -5*f**2 - 4*f - 1. Let p(c) = 14*c**2 + 11*c + 3. Let q(j) = 8*l(j) + 3*p(j). Let u be q(-1). Let i = u - 3. Is i at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 168482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 - 38*m - 3 - 72*m + 369*m + 537*m to s + w*m and give w.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 8 = -4. Let r(z) = -z + 3. Let m be r(q). Suppose m*t - t = 1266. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 30 = -3*j. Suppose -2*a + 4*a - j = 0. Let z(f) = f**2 - a + f**2 + 13*f + 4 + 3. Let h(l) = l**2 + 6*l + 2. What is 9*h(r) - 4*z(r)?\nAnswer: r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 30 = -y + 4*y, 4*y + 3*c = 53. Suppose k - 2*k - 12 = 0. Let r = y + k. Sort r, 0, 5.\nAnswer: r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.36 times -13.8\nAnswer: 4.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 4 - 1)*(-18 - 77 + 5)*(16*x + 11*x + 5*x)*(-4*x - 2*x - x) to the form b*x**2 + c*x + a and give b.\nAnswer: 40320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3148982.07 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.5, -0.2, -5, -2133, 5?\nAnswer: -2133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2290800 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1061 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2438 + -1460. Suppose r - 4*j = u, -5*r + 0*j + j = -4928. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 20613766*c**3*h**2 + 260*c**3*h + 6*c**2*h + 106*c**2 - 3*c*h**2 - c*h - h**4 - h wrt h?\nAnswer: 41227532*c**3 - 6*c - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -241 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(63) + sqrt(1008) + (sqrt(1008) - 2*sqrt(1008)) + sqrt(63) - sqrt(5103)*-1)\/(5*(sqrt(225) + sqrt(225)*-2)).\nAnswer: -11*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -838 + 837. Which is smaller: 629 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the third derivative of -t**5\/60 + t**4\/12 - 2*t**2. Let j be a(3). What is the units digit of 1\/(-1*j\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -929266456 - -339?\nAnswer: -929266117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rre when three letters picked without replacement from rreeerrerrrrrrrreer.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -18 - -23. Let o be (0\/((-25)\/u))\/(-1). Suppose o*k + 504 = 3*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -341 = 22*p + 781. What is the remainder when -14 - p - (-2)\/(-1) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = 14*j - 10*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 112, 105, 96, 85, 72, 57?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 353*a - 6927. What is the remainder when 2522 is divided by x(20)?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/14806035 and 115\/594.\nAnswer: 977198310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, 1336, 1\/13, -4\/9, 5\/2, 2\/3, 0.1?\nAnswer: 1336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2297 times -184078?\nAnswer: -422827166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -5.6, -15\/2, -5 in decreasing order.\nAnswer: -5, -5.6, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 641.3 in 1\/2, -4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -512417\/60 + 8540. What is the common denominator of 21\/4 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -534, -1073, -1614, -2157, -2702?\n\"Answer: -x**2 - 536*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26\/(-36)*3096\/10062.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-1)\/((h*h\/(h\/h**(-7))*h)\/h)*(h**(-2\/5)*h*h)**16*((h\/h**(-1))**(-9\/7))**(1\/17) assuming h is positive.\nAnswer: h**(18117\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -51.6 - -52. Which is the biggest value? (a) 7 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from ocppgg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -148\/3 + 50. What is the third smallest value in h, -2, 5, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010111001111100111000 + 1?\nAnswer: -1010111001111100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 - 2 - 3)*(1079*w - 1021*w + 2 - 1).\nAnswer: 116*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 245 and 6?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 2 = 2*h, 13 = 2*h - 0*h + i. Suppose -10 = 2*b, h*j - 2*b = -b - 3. Let w = 17 - 12. What is the biggest value in j, w, -2\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that w**5 - 1459*w**4 + 4370*w**3 - 2912*w**2 = 0.\nAnswer: 0, 1, 2, 1456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 + 21*g**2 + 29*g + 184. Let q be f(-20). Solve -35 = 5*p - 5*k, 4 = -q*p - 5*k + 21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 975*r. Let n(w) = 61477*w. Give n(q(f)).\nAnswer: 59940075*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the third derivative of -y**6\/120 - y**4\/24 + 7*y**2. Let h be k(0). Suppose -2*s - 4*i + 5*i + 68 = h, i = 2. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the second derivative of -o**4\/12 + o**3\/6 - 3*o**2 - 5*o. Let i(v) be the first derivative of r(v). What is the units digit of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 19380064 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6390.9 - -6393. What is the biggest value in w, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c + 33 + 71 = 0. Suppose -c = -3*k + 29. Let f(t) = 4*t + 30. What is the units digit of f(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 142*b*m**4 + 48799*b + 154*m - 13 wrt m.\nAnswer: 568*b*m**3 + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 700 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n = -5*q - 10, -4*n + 17*q - 22*q - 20 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -28835597.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 11010101100110 (base 2) to base 11\nAnswer: a2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1811 a factor of 26429734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 112\/(-84)*(-18)\/204.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 25 plus 2.6925?\nAnswer: 27.6925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(-7)*d**(-6))\/((d\/(d**(-7)\/d*d))\/(d*d**3*d)) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {p: 3, v: 3, h: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9 - -5. Let x(l) = -3*l**3 + 4*l**2 - 2*l - 3. Let y(u) = u**3 - u**2 + u + 1. What is g*y(h) - x(h)?\nAnswer: -h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, r: 1, e: 2, z: 1, n: 4}. Give prob of sequence ee.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57*t**3 - 145*t**3 + 49*t**3 + 50*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1804610, -1804604, -1804580, -1804532, -1804454, -1804340?\n\"Answer: i**3 + 3*i**2 - 10*i - 1804604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/102)\/(78\/46410).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*g**3 + 14*g**3 + 59*g**3.\nAnswer: 66*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3997*u**2 - 1993*u**2 - 2002*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be 18\/4*14\/(-21). Put 5, u, 2 in descending order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-1 + sqrt(19) + 0 + -2))**2.\nAnswer: -150*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 34 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2294077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 276\/9350237 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1*-5.7\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 781053, 780849, 780645?\nAnswer: 780441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18909 - -37421. Is 104 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**3 - 12*t**2 - 6*t - 6. Let c be j(13). Suppose 87 = 4*s + 3*i - 0*i, 0 = -5*s + i + c. 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: In base 10, what is 2061 - 0?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2138184\/221 + -9675. Calculate the common denominator of 129\/130 and w.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*g + 58*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(2736))*5*-4)**2.\nAnswer: 1094400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/(0 + 1 + 1). Let h = a - -3. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -456 - -715. Let n = g - 258.9. Which is smaller: n or 2\/195?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 61727, 61732, 61749, 61784, 61843, 61932, 62057, 62224?\n\"Answer: w**3 - 2*w + 61728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -41f59 (base 16) to base 3.\nAnswer: -111201121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/12 and -63\/1816?\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 n when three letters picked without replacement from {n: 2, u: 2, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 24 - c?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 147 = 3*f, -k + 3*f + 63 = -2*f. Suppose -7*p - 99 = -4*u - 8*p, -3*p = -3*u + k. Solve -u = 2*l - 7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2448 - 2446.556. Round g to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.8 * 46091.05.\nAnswer: -129054.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 3 - 4 = -3*w, 22 = -2*g + 5*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 5*j. Let c = -19 - -21. Calculate the least common multiple of 20 and r(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41799 is divided by 200.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 42395, 42393, 42391, 42389, 42387, 42385?\n\"Answer: -2*u + 42397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*1*sqrt(1694))\/(5*sqrt(112) + (sqrt(7) - -1*sqrt(7)*4)).\nAnswer: -11*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29 + 30 + -4 + 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f - 4. Let d be a(-6). Suppose -d*b + 36 = -58. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 divided by -988?\nAnswer: 11\/988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the second derivative of 78*j**5\/5 - 519*j**2\/2 + 675*j. Differentiate f(w) with respect to w.\nAnswer: 936*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001690936 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1688 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*v + 0*v - 2 + 1)*(-2380 + 2380 - 66*v)*(101 - 186 - 86) to the form u*v + g*v**2 + a and give u.\nAnswer: -11286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rxxxxrxx. What is prob of picking 2 x and 2 r?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 5*t - 2*n, -4*t - 68074*n + 68076*n + 8 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**3 - 4*z**2 - 7*z + 3. Let b be p(5). Let o(j) = -10*j + 1. Let i be o(1). Let m = b - i. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -291 + 292. Let s(k) = 21*k**2 - 22*k + 21. Calculate the remainder when 64 is divided by s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*a - 3*a + 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 41829 * -146\nAnswer: -6107034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 6*(1*sqrt(80)*2 + -1) + sqrt(80) + 0 + 1*sqrt(80) + sqrt(80) + (sqrt(80) - (sqrt(80) + 1*sqrt(80) + 4)))**2.\nAnswer: -1568*sqrt(5) + 15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 83148647819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/(-27)*(-3)\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1372 - -3?\nAnswer: -136a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/((-1)\/(88\/(-4))). Solve -4*m + 4*u - 5 = 3, 5*m = u - j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 + 13*u - 23. Give w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 - 6*g**2 - 7*g - 10. Let q be k(-5). Suppose -2*i = q, 0 = -2*j - i + 3*i + 14. What is the remainder when 7*2 + 1 + -2 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -30\/563, 0.3, 1, 2\/5, 1\/2 in descending order.\nAnswer: 1, 1\/2, 2\/5, 0.3, -30\/563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.062 (b) 5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 21*z**2 - z - 1. Let g be p(-1). Suppose -4*u - g - 27 = -5*i, 2*i - 36 = -4*u. Let v = i + 0. Solve -4*j - v = -t, 3*t - j = -3*j - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*v = -129 + 103 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 113 - -31?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 36458 (base 9) to base 12.\nAnswer: 12182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -12893.54 and -0.1.\nAnswer: 1289.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a4503 + 0?\nAnswer: -a4503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x**2 - 2011196 + 2011196.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4105.218739 + 4105.2. Round x to 4 dps.\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -19995*l - 659822. Calculate y(-33).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*x + 24*x + 72. Let t = -6 - -17. Sort x, t, 4 in ascending order.\nAnswer: x, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 351.5964 to one dp.\nAnswer: 351.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 20 = -0*x + 4*p, -2*x - 2*p + 10 = 0. Let c(o) = x*o - 4*o + 2*o. Let j(w) = -6*w**2 + 6*w**2 - 2*w**2. What is c(j(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1335 + 1335.008. Which is the closest to -2? (a) 0.4 (b) q (c) 5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17221 + 26059. What are the prime factors of k?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07 times -9476?\nAnswer: 663.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/(s*s**(-2\/3)))**7)**15)**(-31) assuming s is positive.\nAnswer: s**(-2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2031942 or -2031940?\nAnswer: -2031940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2420883 and 603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -22, -4, 32, 92, 182, 308, 476, 692?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1*(-786)\/(-252) + (1 - 27\/21). Sort p, -0.05, -0.2 in increasing order.\nAnswer: -0.2, -0.05, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 178.1 + -9.1. Let x = 168.11 - c. Let b = x + 0.89031. What is b rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of o + o + 10 - 2*o + 4*o**2 wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -19159 from -1.5.\nAnswer: 19157.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 21*l. Let u(j) = j - 1. Suppose 5*g + 2*a + 5 = a, g - 3*a + 1 = 0. Let q(t) = -t**2 + 2*t - 2. Let h(v) = g*q(v) + 2*u(v). Determine h(z(k)).\nAnswer: 441*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18898, 37744, 56588, 75430, 94270, 113108, 131944?\nAnswer: 150778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 29 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 156941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -236 divided by 5?\nAnswer: -236\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t - 3. Let q = 40 - 35. Calculate r(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -577 (base 8) to base 6.\nAnswer: -1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1392, 1390, 1386, 1380, 1372?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2021\/6 + -19533\/58. Are -1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 21461\nAnswer: 4\/21461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k = 3*d, -5*d - 141*d - 32*d - 1757 = 182*d - 11*d - 4*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 628709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -7*m + 13. Let t(l) = -3*l + 6. Let d(h) = -6*f(h) + 13*t(h). Let o = -16 + 24. Let p(s) = 3*s + 8 - s - o. What is p(d(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 195636 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, c: 13, h: 1}. What is prob of picking 1 h and 3 c?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) 1\/10 (c) -69 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 154*d + 38*d - 576 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: ((1242\/48)\/(-69))\/(60\/(-16))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 13, 15.9, -2\/5, 2\/7, -6 in descending order.\nAnswer: 15.9, 13, 0.5, 2\/7, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((z*z**(-5\/9)*z)\/z)\/z**(-1\/9))**(-8\/9))**(-34) assuming z is positive.\nAnswer: z**(1360\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 10:40 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 165 = -32*i - 125 + 34. Put 6, 5, i in increasing order.\nAnswer: i, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 2, 4, 1.\nAnswer: -6, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 42*m - 250. Let r(u) = 24*u - 115. Let y(d) = 3*f(d) - 5*r(d). Give y(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7 - (5 + -5 + -777) and 28.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 181 = -i, 0 = i + 4 + 1. Let n be m\/(-7) + 12\/42. Let v = 32 + n. Solve 3*z = 3*u + 18, -z + 6*u - u + v = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 64.5299 - -0.0701. Let w = r + -65. Let x = 2.4 - 2. Which is the nearest to 6? (a) w (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 64 + -54. Find the first derivative of -14*k + l*k + 20 + 77*k wrt k.\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*t + 226 - 79*t - 118 + 26*t + 31*t - 117 + 19*t.\nAnswer: t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from vyggbynf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -110 - 97.5?\nAnswer: -207.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -47 - -48. Let r = -1 - -1.4. Which is the nearest to m? (a) 2\/17 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - n - 490, 2*n = 5*f + 6*n + 2445. Suppose 6*x = x - 10. Is f\/(-15) - x\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-2)\/(-3))\/(10\/3). Let i(j) = -j**2 - 11*j - 11. Let g be i(-10). Let n = 0 + g. Which is the closest to -0.1? (a) -4 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 71663?\nAnswer: 71663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -301882, 3\/2, -4?\nAnswer: -301882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the second derivative of -1\/18*g**4 + 0 + 2\/9*g**3 - 16*g + 0*g**2 - 1\/30*g**5. Find o, given that z(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -709, -1429, -2151, -2875, -3601, -4329?\nAnswer: -5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate h**3*r + 2*h**2*r - 72*h*r - h + 4682*r with respect to h.\nAnswer: 3*h**2*r + 4*h*r - 72*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.2, 1.1, -3\/4, 5, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3147 - -a345?\nAnswer: 71ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y - 2*y = 216. Let q(w) = 447*w**3 - w**2 + w - 1. Let d be q(1). Suppose d = 5*x - y. Round x to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**2 + 6*v - 4. Let i be x(-7). Let -4*g**i + 3*g**3 + g**3 + 4*g**3 = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2358*h + 44 = -2354*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*i**5 + i - 6*i**5 - 7 + 0*i**5 + (-28*i**2 + 28*i**2 + 8*i**5)*(0 + 0 - 2).\nAnswer: -18*i**5 + i - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 391 = 3*l, 4*r = 2*l - 4*l + 224. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9? (a) 0.5 (b) -2 (c) 0.9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 74538633769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 372 - 365. Let k(w) = 3*w**2 - 24*w + 95. What are the prime factors of k(s)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 28280*u**4 - 8*u**3 - 36466*u**2 - 20*u wrt u.\nAnswer: 678720*u - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 34*-14982566\nAnswer: -509407244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-2)\/(-42))\/((-5)\/(-46245)). Let z = -440 + s. Let k(o) = -o**2 - 6*o - 3. Let v be k(-2). Which is the closest to z? (a) 2\/5 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the third derivative of -b**8\/336 - 11*b**7\/210 - 19*b**6\/60 - 13*b**5\/15 - b**4 - 3*b**2 - 1. Let u(z) = 0. Calculate z.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -54.03 + 54.43. Put -2\/7, 3\/22, q, -4\/7, 2\/11 in decreasing order.\nAnswer: q, 2\/11, 3\/22, -2\/7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 411343 is divided by 37075.\nAnswer: 3518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 101963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -39 + 45. Let p(o) = 5*o. Give p(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 331681.\nAnswer: 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -145 - (-49 - (40 + 12))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvqvvvvqvvvvvvvvvv. What is prob of sequence qq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 71906 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 1716 = z - 1715, 4*z = -4. Which is the third biggest value? (a) 313\/10 (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 689*s - 4963. Let j(c) = 604*c - 4961. Let d(f) = 3*i(f) - 4*j(f). Find the first derivative of d(z) wrt z.\nAnswer: -349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-2))\/(24\/((-18)\/(-3))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/3)\/(4\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is t in 15*t**3\/2 - 25*t**2 + 10*t + 20 = 0?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 93747583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6da - 25624?\nAnswer: -25d0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 89143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*u = -22580 + 23828. Let a be (-2)\/2*7*-16. Calculate the greatest common factor of a and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14350350.\nAnswer: 2, 3, 5, 7, 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 3*j**3 + 29*j**2 - 94*j - 429. Calculate r(-10).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u**3 - 1437*u**2 - 9888*u + 11328 = 0.\nAnswer: -472, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -97\/66702 and -145\/66702?\nAnswer: 66702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*a*c**2 - 13772*a*c - 28867*a wrt c?\nAnswer: 4*a*c - 13772*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**3 + 26*a**2 - 198*a + 459. Determine h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = y - 2*q - 85, 5*y + 2*q = 425. Let j = y - 45. Suppose -j = -4*g + 100. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*r - 4*r - 4*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -60404, 0.2, -6\/23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (36*x - 24*x + 31*x)*(-3*x - x - x + (4 - 3 - 2)*(5*x + 5 - 5)).\nAnswer: -430*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1020153834 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**3\/6 - 25849*o**2\/2 - 501141025*o\/2 - 1503345529\/6.\nAnswer: -(o + 1)*(o + 38773)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 782802.\nAnswer: 2, 3, 157, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 7, t: 7}. What is prob of sequence hth?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.03 * 2.19\nAnswer: 0.0657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3274466 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 14*f - 14*f + 2*f**3 + (4*f**2 - 4*f**2 + 5*f**2)*(3*f - 4*f - f).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1568, -6295, -14174, -25205, -39388?\n\"Answer: -1576*s**2 + s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 198617?\nAnswer: 31, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.008752 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -293419, -293404, -293387, -293368, -293347, -293324, -293299?\nAnswer: -293272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1441 + 86731\/60. Let n = -47\/20 + k. Calculate the common denominator of n and (-10)\/(-5) + (-206)\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-32)\/210 - (-4)\/14. Let s = -2.888 - -1.888. Let y be (5 + -4)*4\/18. What is the third smallest value in s, j, y, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (a - 26*a + 2*a)*(-a**3 + 0*a**3 - 4*a**3) + (a - 3*a + 0*a)*(-4*a**3 + a - 11*a**3 - 17*a**3).\nAnswer: 179*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**3 - 4*y**2 + 2*y - 5. Give w(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uivq when four letters picked without replacement from {q: 1, v: 5, m: 6, u: 3, i: 1, p: 3}?\nAnswer: 5\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0, -4, 0.3, -6\/11.\nAnswer: -4, -6\/11, 0, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 438811.\nAnswer: 137, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 8*p**2 - 9*p**3 - 42*p + 103*p - 23*p - 11*p**2 - 33*p + 3. Let k(v) = 2*v**2 - 10*v**2 + 4 - 10*v**3 + 5*v + 4*v**2 + v. Calculate -6*c(g) + 5*k(g).\nAnswer: 4*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-1)\/(-3))\/(4 - (-10460)\/(-2616)). Suppose i = 18*j + 20. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 6, y: 2, c: 2, k: 3}. Give prob of picking 2 u, 1 y, and 1 c.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add -105962.93 and 5.\nAnswer: -105957.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 7*f + f**3 - 3*f**2 - 3*f**2 - 2*f**2. Let d be n(7). What is the nearest to d in -0.1, -1\/6, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -c4d1 (base 14) in base 13?\nAnswer: -12574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -17888.6 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pd when two letters picked without replacement from {d: 2, p: 1, f: 1, e: 2, j: 2, c: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.414344 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 - -9)\/(8\/4). Suppose -2*c - 10 = -n*c. Let o(k) = -4*k + 7. Let v(t) = 17*t - 28. Let h(p) = -9*o(p) - 2*v(p). Determine h(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x = -x - 24. Suppose -k + 43 = x*h, -3*h + 12 = h. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 536*r**5 + 2313*r**5 + 1204*r - 573*r**5 wrt r.\nAnswer: 45520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1960\/(-16)*(-12)\/5. Suppose 0 = -2*v - v - 4*k + b, -3*v + 288 = 2*k. Let s = v - 64. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-357 + 20*o**3 + 357)*(-2*o - 1 + 3*o - 5*o) + 0*o + o**4 + 0*o.\nAnswer: -79*o**4 - 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/(-10))\/((4\/30)\/(476\/1071))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(17)*6 + ((-4*sqrt(17)*-2)**2 - sqrt(17)).\nAnswer: 29*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-14)\/49)\/((-1)\/(-2))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -173*d. Let g(q) = 935*q**2. Determine j(g(n)).\nAnswer: -161755*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 5*l - 1 = 2*v, 0 = -2*l + 2. What is the second derivative of -28 + 20*z**v + 23 + z + 4*z wrt z?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 + 399\/(-56))*10\/15?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*l**2 - 6*l**2 + 91*l**2.\nAnswer: 116*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(12\/(-126))*12\/63*5\/(-30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -3 less than 4501543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - g + 754 = 0, -6*g - 1520 = -4*c - 2*g. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.028 + 0.015. Let y = d + -0.287. Which is smaller: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-6))\/((-1)\/(-51)). Let x = h + -12. What is the third derivative of -2*l**2 + 3*l**5 - 2*l**2 - 2*l**x wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6714 and 51883554.\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -966717\/284 at most -3404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*d + 5*u, 3*u = u + 8. Let p(l) = -l**2 + 7*l + 2. Calculate the remainder when 129 is divided by p(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(-4)\/k*k)**32*(k\/k**(22\/9))\/(k\/(k*k**(-20))))**(-4\/7) assuming k is positive.\nAnswer: k**(604\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f - 714 = 4*f + h, 0 = -f + h + 238. Calculate the greatest common factor of 34 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 0*v = 4*v + 26, 5*j + 47 = -v. Is (3\/j)\/((-1)\/9) + 112 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 130641.\nAnswer: 3, 7, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 + 10*s + 12. Let w be t(-9). Suppose -v - w = 0, 5*v = 2*f - f - 64. What is the remainder when f is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.015 + 61.985. Let m = y - 66. Let r = 8 - 7.7. Sort 1\/2, r, m.\nAnswer: m, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 82344 and 7.\nAnswer: 576408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 + 2\/((-4)\/(-6)). Let u = f + 2. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/648 and -121\/1443528.\nAnswer: 4330584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 + 9*y - 12. Let o be q(7). Solve -w + o = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -233.48 * -1.\nAnswer: 233.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve u = -p + 5, 79*p - 84*p - u + 9 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -10*d + 60. Calculate g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15065 and 1643?\nAnswer: 24751795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 27896363 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ncnc when four letters picked without replacement from {o: 1, n: 7, c: 11}.\nAnswer: 385\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-17)\/((-51)\/(-10))*(-402)\/670\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvrv when four letters picked without replacement from vvrv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -19 + 47 + -35?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -50 + 43 - -20421*4\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*m + 5*n - 251 = -81*m, 0 = 9*m + 5*n - 199 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (72 + 32*o - 71 - o**2 + 0*o)*(0*o**2 + 11*o**2 + 7*o**2).\nAnswer: -18*o**4 + 576*o**3 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -3387 times 2741\nAnswer: -9283767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -6*c**3 - 4*c**2 + 19066. What is the ten thousands digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d + 20. Determine c(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + 0 - (3 - -1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1778623*l**2*x**2 + 5*l**2*x + l*x**2 + 1377105*x**2 wrt l?\nAnswer: 3557246*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from eieeieieieeie?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36 - 100 + p + 45 to k + c*p and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**3 + d**2 + 2*d - 2. Let v be l(3). Let w = 391 + -381. Calculate the greatest common factor of w and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes before 3:52 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(2\/3)\/(l**(-1\/8)\/l))\/((l**(1\/20)*l)\/(l**(-6\/5)\/l*l)))**(-49) assuming l is positive.\nAnswer: l**(539\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 60502313 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*t + 50*t - 3 = 0, -u = t - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4 - 2)*(-40*q**2 + 24*q**2 - 24*q**2)*(-27*q**3 + 0*q**3 - 41*q**3).\nAnswer: 5440*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 97702055 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 76 a factor of 768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + h = 54, -2*h - h = 0. Let l = -16 - r. Solve b + 2 = -n, 5*n + l = -4*b - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 2*y - 46 = 0. Suppose -c + 2*c = y. Let f = -15 + c. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 10) + 10 + 6 + (39 - 56).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in c - c**3 - c + 0*c - 171.\nAnswer: -c**3 - 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 849?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 289 divided by -15487.\nAnswer: -17\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -190463 divided by -8?\nAnswer: 190463\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -6*q**2 - 3*q - 1. Let u(h) = 14*h - 2. Let c be u(0). Determine p(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**2 + 12*c + 3. Let v be k(-8). Let d = v + 32. Let p(n) = 10*n. What is the smallest common multiple of p(1) and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a**3 + 2*a**2 - 4*a**4 + 80 - 33 - 48 as c + v*a**4 + j*a**3 + r*a + d*a**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.33 (b) 2\/81 (c) -347\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w + 3*w - 2*w + (10 - 17 - 1 + (1 - 2 - 1)*(-1 - 2 + 1) + 3 - 3 + 2 + 3 - 3 - 1)*(3*w - w - 4*w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -322*g - 149*g + 229*g - 454*g.\nAnswer: -696*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5\/111 - -1487\/3441. Let q(r) = -r**3 + 11*r**2 - 1. Let f be q(11). Is f < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gigxyuyvi. What is prob of picking 1 i and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -32159831*n**3*o - 644*n**3 - 6977*n wrt o.\nAnswer: -32159831*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 776665634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 19*s - 292. Let j(o) = o**2 + 9*o + 49. Let a be j(-5). Is d(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 146876*s + 95363*s + 682213*s + 235931*s.\nAnswer: 1160383*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v**3 - 2*v**2 - 3*v + 4. Suppose 1 = -5*b + 16. Let t be h(b). Suppose 3*d = t + 2. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from bdmddgbgdaam?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2 (b) -0.9 (c) 3 (d) -12 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (18\/(-24))\/((-1)\/8). Let f(g) = g**3 - 5*g**2 - 5*g + 3. What is f(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 12, w: 2, k: 4, x: 1}. Give prob of sequence fw.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14 + 11*i - 3*i - i + 3*i**2 - 4*i + 3*i.\nAnswer: 3*i**2 + 6*i - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -89 - -90. Solve 4*h = -3*r, -h - x = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-110)\/(-6))\/((-272)\/(-816)))\/(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7349930*h*x - 829279*x - 4 wrt h?\nAnswer: -7349930*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the first derivative of -x**2\/2 + 12*x - 1. Let r = 5 - 0. Let w be t(r). Calculate the greatest common factor of 56 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 13) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -2, -10, -13, 24, -4.\nAnswer: -13, -10, -7, -4, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -3 + (-5 + -3*sqrt(1377)*2*6)*-6 + 4)**2.\nAnswer: 128304*sqrt(17) + 64246401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the first derivative of 0*z**2 + 1\/9*z**3 - 2 - 1\/12*z**4 + 0*z. Factor o(a).\nAnswer: -a**2*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a + 19*a + 174*a**3 - 20*a + 173*a**3.\nAnswer: 347*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, 296, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - 193*c**3 - 26 + 17.\nAnswer: -193*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 43941, 43940, 43939, 43938, 43937, 43936?\n\"Answer: -o + 43942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from fyyrbzb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1337 + 2954. What are the prime factors of w?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 278.115 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -32, 7\/4, 3, -4, 2 in ascending order.\nAnswer: -32, -4, 7\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a + 2. Let t(h) = 8*h - 15. Let x(z) = 14*s(z) + 2*t(z). What is x(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 - 3 = -4*l. Let z be l\/(-2)*(-8)\/3. Suppose 1 - z = -b. Solve o = b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2919.\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/256)\/(6\/8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify c*c\/c**33*c*c**(1\/28)*c**(-12)*c\/c**(-14) assuming c is positive.\nAnswer: c**(-755\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12187 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 22 and 106.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 425.96 - 416. Let c = 0.3 + 9.7. Let r = x - c. Round r to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-14)\/42)\/(15\/(-27)))\/(231\/(-70)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 516 and 1677?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 36090768*s**4 - 478337*s - 42.\nAnswer: 433089216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0\/(-6))\/((-6)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1 and 263.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 267 - 238. Calculate the remainder when 72 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and 1828.\nAnswer: 3656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of i**5\/5 + 1287*i**2\/2 - 2157*i + 3304. Find the first derivative of u(l) wrt l.\nAnswer: 4*l**3 + 1287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-13)*p*p**(-3))\/(p**(11\/2))**(-6\/11) assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 5933552561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes after 10:39 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -2*u + 931, 6*l - u = 2*l - 1248. Let d = -2187\/7 - l. Factor 0 - d*m**3 + 2\/7*m**2 + 2\/7*m.\nAnswer: -2*m*(m - 1)*(2*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7397\/28 - 1774\/7. Let k = 426211\/32 - 13316. What is the common denominator of l and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o**4\/2 + 210*o**3 + 6678*o**2 - 46128*o + 63840 = 0. Calculate o.\nAnswer: -76, -70, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1544362555 to the power of 1\/2, to the nearest integer?\nAnswer: 39298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*v + 5*v = 0. Suppose v = 3*c + 3*d - 3, -c - 2*d + 1 = 5. What is the first derivative of -10 + c - 3 - 15*x**3 wrt x?\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-64)\/(-12))\/((-10)\/(-15)). Suppose 0 = -11*z + 12*z - u. Solve -k = -z + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*s**2 + 60*s + 13 - 60*s + s**2.\nAnswer: -s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2558 smaller than -30\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of v**6\/120 + v**5\/15 - v**4\/6 + 2*v**3\/3 - v**2. Let d be y(-5). Let q(w) = -2*w - 1 - 2*w**2 + 1 - 6*w**3 + w. Give q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19700 - 12894. What are the prime factors of l?\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 40*c + 86. Let q be b(-2). Let r(t) = q*t**2 - 10*t**2 - 4*t**2 + 26*t**2. Let n(g) be the third derivative of -g**4\/12 - g**2. What is n(r(f))?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.9329 - -0.09\nAnswer: 1.0229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of 305*j**4\/24 + 529*j**2. Let g(c) = c**2. Give a(g(u)).\nAnswer: 305*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 + 2 - 1\/3. What is the third biggest value in h, -154, 1\/3?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -0.3, 2.96, -3.\nAnswer: -3, -0.3, 1, 2.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43*n**3 + 41*n**3 + 2 - 116*n**3 + 43*n**3.\nAnswer: 11*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4805857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**2 + 18*s + 66. Let r be m(-14). Calculate the greatest common divisor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -105*f + 26071 - 25966. Let q(k) = -k + 1. Let u(m) = -1. Let y(x) = q(x) + 2*u(x). Let i(w) = 8*w + 6. What is f*i(v) + 6*y(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-186*g + 2873 - 2873)*(3 - 2 + 0).\nAnswer: -186*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the third derivative of 2*q**7\/105 - q**6\/30 - q**5\/15 + q**4\/6 + 4*q**2. Let g(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1)\/3)\/((-1)\/9). Let x = 66263 + -66261. Sort -3, 1, x, a.\nAnswer: -3, 1, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.24491 - -0.0193.\nAnswer: -0.22561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - 4*q + 12, -5*q + 6 = -f - f. Let h be (f\/3)\/((-4)\/(-54)). Let l be 2\/7 - 122\/(-14). Solve 2*s + 3*m - h = -3*s, -3*m = -s + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-12)\/(-27) - (-171)\/162) + -1)*58.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 63271101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47822.\nAnswer: 2, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*544203.\nAnswer: 1632609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 PM and 10:48 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 2. Let m(n) = n**3 + 11*n**2 + 19*n + 13. Let j be m(-9). Suppose -j*i - 7 = -3. What is the smallest value in i, 2\/31, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g - 4*t = -10, 42*g - 1 = 45*g + 5*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y - 3*s + 510, -2*s + 0*s + 204 = 2*y. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 6, s: 1, y: 2, h: 2, e: 4}. Give prob of picking 1 s and 1 y.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6092965 - 6092891.40694. Let k = x - 73.6. What is k rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (38352\/(-39950))\/((-8)\/(-150))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 20*b*j**3*z**3 + b*j**3*z**2 + 7*b*j**2*z**3 + 2*j**3 - 2*j*z - 19*z**2 wrt z.\nAnswer: 120*b*j**3 + 42*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7440, -7409, -7350, -7257, -7124, -6945, -6714?\nAnswer: -6425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 477.6414915 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/(-2) - (-93)\/31. Suppose 2*z - m - 8 = 3*m, -2*z + 2*m + t = 0. Solve w = 4*k - 3, 2*w - 10 = -z*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 AM and 6:58 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g**2 + 9*g + 3. Let p be w(4). Suppose -2*a = f - p, a + 4 = 2*a + 2*f. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x + 2. Let d be f(4). Suppose 496 + 804 = -360*z - 140. Sort d, 3, z in decreasing order.\nAnswer: 3, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 593542911 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3)\/2*(-44)\/33 - -18. Solve 5 - t = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - r - 834 = -3*r, -r = -2*o + 330. Does 32 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*d = 15*d - 15*d + 221 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/63165 and 28\/45.\nAnswer: 189495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 133825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 684 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 81\/(-18)*(-2)\/3. Suppose 0*g - g = -k. Are 2\/3 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 1 + 2)*(-2*g - g - 3*g)*(2 - 3 - 2) in the form l + p*g and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4750278 is divided by 178.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 41 + -40.9. Let q = 3.6 + -4. What is the nearest to d in -4, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2160, 0, -46, -1.\nAnswer: -2160, -46, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 129*u = -54*u + 732. Let o = -2625\/11 - -239. Which is the third smallest value? (a) o (b) u (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 210 (base 6) in base 15?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vi when two letters picked without replacement from {v: 1, l: 2, i: 8, z: 5, x: 2}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 656*k + 7. Let j(i) = -10*i**2. Determine j(f(m)).\nAnswer: -4303360*m**2 - 91840*m - 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be 51\/10 + 20\/(-40). Let k = 22.8 - 23.8. Which is bigger: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6082163 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 + -2. Let x = 1.035055 - 0.035055. Which is the closest to x? (a) 0 (b) y (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 796.4154 minutes in hours?\nAnswer: 13.27359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 279676 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {c: 1, s: 2, l: 2, h: 1, d: 3, w: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**3 - 4*o**3 + 2*o**3 - 4*o**2 + 5*o + 6. Suppose -l - 88 = 3*l - 4*j, -4*l - 120 = 4*j. Let b = -31 - l. Determine c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2102 + -11102100?\nAnswer: -11111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000937 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - 16, 2*j - 4*b - 19 - 1 = 0. Let i = -3 - -6. Suppose 0 = n - 17 + i. Calculate the highest common divisor of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:42 PM and 6:33 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (0\/(2 - 7))\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1920 - 129. List the prime factors of w.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 2*z**2 + 15*z - 32. Calculate the remainder when 312 is divided by s(-11).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 37\/5 + -133\/20. Suppose 7*o - 2*o = 0. Suppose -3*c + 3 + o = 0. Are c and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 148, 699, 1748, 3391, 5724?\nAnswer: 8843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o - 2 - 8 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1094, 2, -2\/3, -60, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2867451?\nAnswer: 3, 271, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) -3\/8 (c) -5\/9 (d) -10 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 3*h**3 - 8*h**2 + 740*h - 3800. Give a(5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, 21.17, -18, 3\/4, 0.2?\nAnswer: 21.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144)\/(sqrt(1296)\/sqrt(3)))\/((3*sqrt(1728) - sqrt(1728))\/sqrt(3)).\nAnswer: sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:41 AM and 7:36 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30801566 + 153*g - 30801566.\nAnswer: 153*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/15 - (-66)\/30. Suppose 5*o - 4*j = 12, 0 = z*j - 0 - 4. Solve -1 = 3*h - o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*d - d - 3*d)*(-6 + d**2 + 6 - d + d**2 + d + (-2 + 2 + d)*(d - 1 + 1)) as l*d**2 + c + m*d**3 + x*d and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1.028892043 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 141 and 987?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 - -11.93. Let r = -0.9299757 + t. Round r to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 611 divided by -33?\nAnswer: -611\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -16531, -66305, -149263, -265405, -414731, -597241?\n\"Answer: -16592*p**2 + 2*p + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*m - 1\/6*m**2 - 47\/6 = 0. Calculate m.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -4440421 (base 5) to base 10\nAnswer: -77611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -54140*a + 2544631. Give h(47).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 630?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/(-9) - (-26)\/6. Let d = -789 - -1097.5. Let u = -309 + d. Which is the closest to -2? (a) s (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -380700 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/2 and 13\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 54*l**2 - 14464*l - 1041. Calculate i(268).\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 - -4. Let u = g + -17.5. Let s be (1\/(-2)*0)\/(-2). Which is the closest to 1? (a) 3 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.3 - 3.7. Let f = -0.18 - -0.38. Which is the nearest to 1? (a) f (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of x**6\/240 + x**5\/4 + 17*x**4\/6 + 27*x. Let r(p) be the third derivative of b(p). Does 4 divide r(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141208 is divided by 4553.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 69948262 divided by 1223.\nAnswer: 57194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 5*y - 107. Let n be b(25). Suppose 968 = 3*h - 4*k, -4*h = -9*h - 2*k + 1648. Does 18 divide h\/6 - n\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 3*y + 21 - 5 = 0, -23 = 3*c + 4*y. Sort 4, -4, -1, c in ascending order.\nAnswer: c, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7.2 in -0.6, -2, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 194, -206, -844, -1696, -2738, -3946?\n\"Answer: 4*y**3 - 143*y**2 + y + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1177*q**2 + 1876*q**2 - 1390*q**2)*(-q + 3 + 0 - 4).\nAnswer: 691*q**3 + 691*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -7*t**2 + t. Let o(r) = r**2 - r + 1. Let q(a) = h(a) + 6*o(a). Let x be q(-6). Solve 6*s - 3*s + 9 = x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 154b (base 14) to base 2\nAnswer: 111011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 180, -1\/2, 4?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 6971 = -67*l + 2*l + 536 for l.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8\/3 + -31\/15. Let v = 1.6 - 1.8. What is the second biggest value in 4\/7, x, v?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p and 1 y when four letters picked without replacement from yapppyabyptbypayybyy.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-74685)\/(-4862))\/(-15) + 1. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 4*f + 3*b, 2*b = f - b + 11. Suppose -3*y - 3*w + 183 = 0, f*y - 2*w + 5*w - 243 = 0. Suppose 0*j + y = 3*j. Solve 2*o - j = 7*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -4*v - 2*g, 4*v = -5*g + 19 - 2. Let t(p) = 114999*p**3 - 3*p**2 - p + 2. Let y be t(v). Round y to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 250943221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 56454 - 4921. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0494618 rounded to three dps?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -580*l**5 + 320*l**3 - 5*l**2 + 5150714*l wrt l.\nAnswer: -11600*l**3 + 1920*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -54.2 + 54. Which is the closest to d? (a) -2\/5 (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1495811628 to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 44 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 12671762 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2950*p - 172488 - 188458 = -54146 for p.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 275061.1ms in nanoseconds?\nAnswer: 275061100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(2*sqrt(2448) + 0)**2.\nAnswer: -29376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 932, 927, 910, 875, 816, 727?\n\"Answer: -m**3 + 2*m + 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2 - 103)\/5)\/((-6)\/(-1)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*o**2 - 2412 + 2412 - 13*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/(-8)*-18*(-18)\/(-1404)*(-56)\/(-126)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**2 + 3*a + 217. Let p be h(18). Let t(u) = 30*u**3 - 1. Let c be t(-1). Let y = c - p. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2640 and 110?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -2*o - 41. Let l(n) = -172*n. What is i(l(h))?\nAnswer: 344*h - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -560781874*u**2. Let g(w) = -3*w. What is t(g(j))?\nAnswer: -5047036866*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 2 - 3)*(0*o + 0*o + 4*o)*(-2*o + o - 2*o) to the form v + j*o**2 + x*o and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are -41 and 286 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 20962370 divided by 11770?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 8*c**2 - 4*c - 9. Let f(t) be the third derivative of 2*t - 5\/6*t**3 + 1\/15*t**5 - 101*t**2 + 0 - 1\/12*t**4. Give 11*f(z) - 6*j(z).\nAnswer: -4*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 - (-69)\/5)\/3 - (-8)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 128 = -5*b + c, 5*c - 42 = -2*b. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*u = -830 + 305 - 315 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*n = 26 + 22. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*h + 3*c - 21, 4*c = -0*c + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*m - 31500 = -30474 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2614472681 to the nearest integer?\nAnswer: 51132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -26241101 (base 7) to base 8\nAnswer: -11110657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be 7 + 2 + 0\/(-1). Does 21 divide -1*c\/(-6)*14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 6) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose j**3 - 3*j**2 - j + 3 = 0. Calculate j.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/5, -1\/3, -19799?\nAnswer: -19799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 481.4562 micrograms to tonnes.\nAnswer: 0.0000000004814562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-24 - 31 + 15)*(3*q - 3*q - q)*(-1 + 0 - 2)*(-4*q**2 + 4*q**2 + 3*q**3) in the form w*q**4 + h*q + m*q**3 + k + g*q**2 and give w.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 181*l**3 - 402*l**3 - 255*l**3.\nAnswer: -476*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 11752*u**6 + 23722*u**2 wrt u?\nAnswer: 1410240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1662665 and 45965?\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1551\/5 + (-178)\/890. Calculate the highest common factor of q and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 16 + -3064 - (-4 + 1). Let s = -2910 - -29011\/10. Find the common denominator of s and (-1)\/4 - t\/924.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes before 12:44 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o - 4*r + 3392, -5*r + 80 = 100. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, e: 2, l: 1, k: 7}. Give prob of picking 1 z and 2 e.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(102)\/(-2*sqrt(6))*6.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/236552 and 111\/591380?\nAnswer: 1182760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the first derivative of 104*g**3\/3 + 221*g**2\/2 + 108*g + 209. Let o(z) be the first derivative of u(z). What is the first derivative of o(w) wrt w?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -33, -88, -179, -306, -469?\n\"Answer: -18*k**2 - k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, u: 10, a: 1, j: 2, s: 2, n: 3}. What is prob of sequence nu?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33027 is divided by 3753.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 19687 - 19623. What is the least common multiple of 2168 and d?\nAnswer: 17344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -180471 (base 9) to base 14.\nAnswer: -2cb09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 108\/15 + 19\/(2185\/(-138)) + (6 - -18)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 11 + 312?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 197*n - 585*n**2 + 178*n - 375*n - 4247*n**2 in the form c + f*n**2 + l*n and give f.\nAnswer: -4832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -1 - 4, -2*l + 3*j + 1715 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 5*c**2 + 4. Let b(i) be the first derivative of i**3\/3 + i + 5. Let m(y) = -12*b(y) + 3*r(y). Let a(j) = 3*j. Determine m(a(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 25*l + 40. Let p be g(8). Let x = p - 120. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -171, 0.5, 4, 3, -500, 5?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of -81\/4*i - 9\/2*i**3 - 3\/4*i**4 + 1 - 1\/20*i**5 - 27\/2*i**2. Suppose u(j) = 0. What is j?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 10*a - 8*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 5*v + 3*n, -2 = -v - n - n. Suppose -2*o - 3*o + 15 = v. Suppose 0 = -5*c + 22 + o. Solve c + 1 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9166698382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, -3128, -3?\nAnswer: -3128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -976.19 + 9.19. Let z = 966.99999383 + v. Round z to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 2*j + 6. Let r be g(0). Find the third derivative of 5*n**5 - r*n**5 - 8*n**2 + 8*n**5 wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 866*o**4 + 12*o**3 + 3509*o**2. Let l(t) = 860*t**4 + 14*t**3 + 3509*t**2. Let s(a) = 7*h(a) - 6*l(a). Find the third derivative of s(f) wrt f.\nAnswer: 21648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-206)\/(-259) + 3144\/(-38776)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x*x**(-1))**(-1\/3) assuming x is positive.\nAnswer: x**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 - -3. Let a(o) = -o**2 + 6*o - 3. Let t be a(q). Suppose -t*c + 0*g = -3*g - 48, -3*g - 69 = -3*c. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = -4*u + p, 4*p + 3 = 4*u + p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (72\/(-30))\/((-16)\/40)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and -0.57?\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be -6*1\/1*-4. Let b = 26 - o. Let y be 2\/(b*(-1)\/(-5)). Solve -3*q - 4 = -y*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -6*q - 129. Let o = -5 + 169. Let s = o + q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18952*w**3 - 20*w - 1948?\nAnswer: -113712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5330221050 + -40?\nAnswer: 5330221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 4 + 1)*(-1 - n**2 + 1 + 0) + 478*n**2 + 465*n**2 - 713 - 945*n**2 as v*n**2 + o*n + r and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 1510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 9*f**3 - 12*f**2 - 12*f + 3. Let x(k) = -19*k**3 + 25*k**2 + 26*k - 6. Determine -6*x(o) - 13*y(o).\nAnswer: -3*o**3 + 6*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:41 AM and 2:49 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 102607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0121487899 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 1 + 7 - 5286*m + 1.\nAnswer: -5286*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 AM and 5:34 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = 47 - 51. Suppose 0*s + 5*y - 395 = -4*s, -y = t. Is s a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*x + 0 + 0)*(x + 0*x - 3*x)*(-4*x + 16 + x + x) in the form i*x**3 + a + c*x**2 + s*x and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + q + (-7 + 2 + 3)*(0*q + 0*q + 2*q) + 11*q + 11*q - 55*q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1 + -7 - (-15 + 19) - -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4511724919 to the power of 1\/3, to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*g + 2*g**2 - 7 - 11*g**2 + 7 wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*n**3 - 7*n**3 - 10*n**3.\nAnswer: -46*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 11*g + 5. Let z(v) = -31*v - 15. Let k(y) = 11*c(y) + 4*z(y). Give k(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 310 and 554195060?\nAnswer: 554195060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-543256)\/5777 - -94) + 10004\/1060?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 40 - 3. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 89*s - 3951. What is j(65)?\nAnswer: 1834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 467614301 to the power of 1\/2, to the nearest integer?\nAnswer: 21624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -4*h + 24964, -15*c + 2*h + 24994 = -12*c. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -4*i + 42. Suppose -5*o = -16 - i. What is the greatest common factor of 4 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 = 5*m - 3*o - 4, 4*m + 45 = 3*o. Let i = m + 5. Let n(w) = -7*w - 4. Let q(d) = 4*d + 2. Let a(u) = 6*n(u) + 10*q(u). Give a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-17)*k**(-17)*k assuming k is positive.\nAnswer: k**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 68673 and 1848?\nAnswer: 3845688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 22119 + -12949. What are the prime factors of q?\nAnswer: 2, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(2\/3))\/g**(-1\/2))**(-1\/46) assuming g is positive.\nAnswer: g**(-13\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 107061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2 (b) -103.71 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 1 - 9 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**4 - 2*j**4 + 5*j**4)*(-18*j + 3*j - 65*j - 2 + 2 + 2*j + (-1 + 1 + j)*(0 + 0 + 1) + 0*j - j - j) + 4*j**5 + j**5 - 4*j**5.\nAnswer: -157*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16.3516 - -0.6484. Which is the nearest to v? (a) 2 (b) 14 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the first derivative of 2*k**3\/21 + 74*k**2\/7 + 2738*k\/7 - 429. What is o in m(o) = 0?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 5*n + 5365, 0*c - 2*n + 5330 = 5*c. Let f = c + -19229\/18. Is f smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes before 3:17 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2895\/34 + -171\/2. Does l = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*h**5 - 4*h**3 + 4*h**3 + 3*h**5 + h**5 - 6*h**5 - h**5 - 4*h**3 + 4*h**3 + (h**3 + 0*h**3 - 3*h**3)*(3 + h**2 - 3) + 4*h**5 - 7*h**5 - 4*h**5.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3747 + -3746.83. What is the biggest value in -2, 1, 0.04, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 + 23897*o - 622068. Determine n(26).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 - 0)\/((-2)\/(-542)). Let r = 186 - t. Let l = -53 - r. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 + 6. Let r be (3\/j)\/(7\/(-4)). Let d = -6 - -6. Which is the nearest to d? (a) r (b) 5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 26\/4 - 12\/(48\/20)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -80, -158, -236, -314, -392?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -73 + 94. Let g be 6\/(-4)*1*(-48)\/(-9). What is the smallest common multiple of t and 3 - 28\/g*2?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -13*a + 2. Let m(o) = -1. Let c(y) = -4*m(y) + p(y). Is 12 a factor of c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of -1\/4*t**4 + 4 - 13\/3*t**3 + 1\/2*t**2 + 18*t. Let o be c(-13). Solve 5*n - 15 = o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3451 is divided by 3413?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 + 15*v**2 + 21*v - 38. Let q be t(13). Let p = 814 - q. What are the prime factors of p?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in 28, 6\/587, 1.5?\nAnswer: 6\/587","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor d**5\/2 + d**4 - 4*d**3 - 9*d**2 - 9*d\/2.\nAnswer: d*(d - 3)*(d + 1)**2*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2\/4457 - -200581\/35656. Calculate the common denominator of 14\/9 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 times -23?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o + 5*o - 2*o)*(30 + 69*o**2 - 22*o**2 - 31) - 10*o + 10*o - 8*o**3.\nAnswer: 86*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 2*b**2 - b - 1. Let z(g) = -2*g**2 + 17*g - 16. Let r be z(7). Suppose -266 = r*s + 99. Let w = 72 + s. What is k(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 444 (base 8) to base 4\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*f + 28 = -32. Let r(c) = -2*c**3 - 2*c**2 + 3. Let d(l) = -2*l**3 - 2*l**2 + 4. What is f*r(v) - 2*d(v)?\nAnswer: -2*v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1231434 + -240?\nAnswer: -1232224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes before 11:45 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 4*m**3 + 7*m**2 - 7*m + 5. Let w(d) = -5*d**3 - 7*d**2 + 6*d - 4. Let x(l) = 4*r(l) + 3*w(l). What is the tens digit of x(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*n - 65*n = 5888. Let f = n - -378. Solve -4*k - 26 = -f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -1272\/2127583?\nAnswer: -1272\/2127583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add -3 and -3.2952854.\nAnswer: -6.2952854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13310 - 10031?\nAnswer: -30001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 5) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 + 2*y + 4. Let k be q(-4). Let j = k + -11. What is the remainder when (-6 - -7)\/(0 + j) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (336\/10)\/(-4)*-8*55\/(-176)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2452, -2460, -2482, -2524, -2592?\nAnswer: -2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -1612*h + 1665*h - 3614441. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:18 PM and 1:40 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 58, 279, 796, 1729, 3198, 5323, 8224?\n\"Answer: 20*f**3 + 28*f**2 - 3*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1\/(-3))\/((-5)\/45). Suppose -5*r = y + 2*y - 1840, 0 = p*y. Let q = r - -131. 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 svmvivisyssihs. What is prob of picking 1 s and 1 v?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 20119061 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2.393 rounded to two dps?\nAnswer: 2.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 1987*z = -17567 + 99034 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 1 + -7 - (9 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -111322*n**2 + 223964*n**2 - 96295*n**2 + (-n + 0*n + 3*n)*(-2*n - 3*n + 6*n).\nAnswer: 16349*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (-4*(5 + (4 + sqrt(180)*-2 - sqrt(180)) + (sqrt(180) + 0 - sqrt(180))*4))**2.\nAnswer: -5184*sqrt(5) + 27215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5\/20 - (-15)\/4. Suppose -w + m = t*m + 6, -4*w = m - 20. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12845*f**4\/4 + 359659*f**3\/4 + 834918*f**2 + 2568935*f - 200 = 0. Calculate f.\nAnswer: -10, -8, 1\/12845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -283140 by -141570.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -22*d**2 + 23*d**4 - 13904*d**3 + 2*d**5 + 2 + 13904*d**3 wrt d.\nAnswer: 120*d**2 + 552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -8*b**2. Let n be (-11 - -11) + 4 + -9. Let x(w) = -4*w**2 + 2*w**2 + 9*w**2. Give n*x(c) - 4*u(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.065 + -1623.\nAnswer: -1623.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*j - 27 = 33 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2950864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -8, -19, -36, -59, -88?\n\"Answer: -3*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 4*m - 13 = 0, -3*b - 4*m + 25 = -0. Let a be (-1)\/(b\/18*-3). Factor -2\/9*o**3 - 2\/3*o - 2\/3*o**a - 2\/9.\nAnswer: -2*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 16*h + 3. Let r(b) = -33*b - 6. Let l(k) = 4*r(k) + 7*x(k). Is l(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 118014562 to the power of 1\/2, to the nearest integer?\nAnswer: 10863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -607338*u**2 + 607338*u**2 + 35*u - 5*u**3 - 35. Let m(g) = 4*g**2 + g + 3. Let a be m(-1). Let i(d) = d**3 - 6*d + 6. What is a*y(r) + 35*i(r)?\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*j - 72 + 5*j + 7*j**3 - 2 + 54 - 116 wrt j?\nAnswer: 21*j**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2449)\/(-3160) + ((-6)\/16 - 0). Let v(j) be the first derivative of -5 + 0*j**2 + 0*j**3 + 0*j**4 + y*j**5 - 2*j. Differentiate v(r) wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:31 AM and 7:42 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k**3 + 7446*k**2 + 9240486*k + 3822481042 = 0 for k.\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 8+-1237\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/32*2\/12*-2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the second derivative of -r**5\/20 + r**4\/3 + 19*r**3\/6 + r**2 + 25*r. What is the units digit of d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, c: 4, l: 2, f: 7, b: 2, a: 1}. What is prob of sequence af?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -368 - 1.2.\nAnswer: -369.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1.5 times 5374\nAnswer: 8061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is y in 4\/3*y**5 + 0 - 8\/3*y**3 + 4\/3*y**4 + 0*y**2 + 0*y = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1441997 rounded to the nearest ten thousand?\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -6*i**2 - 3*i + 10. Let w(x) = -7*x**2 - 4*x + 10. Calculate 4*b(o) - 3*w(o).\nAnswer: -3*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 217066?\nAnswer: 2, 108533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7983 = -7*p + 16*p. Suppose 7*x = 8*x - p. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 174.4 - 174.0385. Round a to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ikfvvvkgvvkkvaa. Give prob of picking 1 a and 1 f.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 106 + 109 = 0. Let x = 0.93 + -1.33. Which is the biggest value? (a) -0.5 (b) u (c) 3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7\/(24 - 3))\/(13\/18720*12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2793) + -4*sqrt(2793))*-6)\/(sqrt(36)\/(sqrt(1200)*-6)).\nAnswer: -7560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.17? (a) -2 (b) 0.23 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 2*m - 79 = -10*f, -3*f + 6*m + 57 = 0. What is the remainder when 296 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1362404.7974 to the nearest ten thousand.\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 3*a**2 + 16*a - 7. Let i be h(-6). Solve 3*q - 8 = i*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 412480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -99\/200 and -13\/320?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -2*(3\/(-27))\/(20\/12)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.05*9.62.\nAnswer: 0.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - (0 - -5)) + 3\/(-30)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -18*m + 11*m. Let b(w) = -2*w**2 + 135*w - 564. Let g be b(62). Calculate the greatest common factor of m and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**2 + 39*b + 27. Calculate p(-37).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 5*u = 3, 5*t + 38*u = 34*u - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, -41, 3 in descending order.\nAnswer: 5, 4, 3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2834, -2810, -2770, -2714, -2642, -2554, -2450?\n\"Answer: 8*m**2 - 2842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 64439, 128317, 192195?\n\"Answer: 63878*q + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -2 + 10. Suppose -b*u = -0*o - o - 9, -u = -o. Factor 4*v**2 + 2 + 2*v**5 - 3*v**4 + 4*v**3 + 0*v**4 - o*v**4 - 6*v.\nAnswer: 2*(v - 1)**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -102.171 - -1.28\nAnswer: -100.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from abbbbababba. What is prob of picking 3 b?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 380143 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 108741 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 - -63123?\nAnswer: 63121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -35 - (-2 + 5) - (-30 + 41)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*x**2 - 4*x**2 - 940*x**3 + 1014*x**3 + (-2*x - x + 4*x)*(-6*x**2 + 2*x**2 + 3*x**2).\nAnswer: 73*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 238 is divided by ((-12)\/2)\/(8\/12) - -38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -265, -312, -389, -496, -633?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 297*r**3 + 159*r**2 - 97492*r.\nAnswer: 1782*r + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 + 0)*(311*y + 76*y + 211*y).\nAnswer: 1196*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8055\/285 + -25 + -3.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-294)*-7*((-2)\/(-4))\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1\/2)\/t)**(-28))**(2\/7)*(t**(-2\/5)\/t)**(-35)*t**(-6)*(t\/t**3)\/t assuming t is positive.\nAnswer: t**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tdtataatta. Give prob of sequence atad.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 19, -1, -4, 2, 7468 in ascending order.\nAnswer: -4, -1, 2, 19, 7468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 133455*w - 133446*w + 99 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 3*d + 3*k - 325 = 0, -20 = -4*k. Let l = 159 + d. What are the prime factors of l?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 21\/1197*19*-14 + 8. Factor v*p**3 + 0 + 12*p + 1\/3*p**4 + 11*p**2.\nAnswer: p*(p + 3)**2*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h - 2*j + 8, 5*h + 2*j + 0*j = 12. Solve -z = 5*q + 9 - h, -2*z + 2*q = -14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7.952 + -0.848. Round w to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 449715832 to the nearest integer?\nAnswer: 21207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 57363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*c = w + 12, -9*c + 0*c - 3*w - 36 = 4*c - 16*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -79 + 82. Suppose m*o + 744 = 27*o. Which is smaller: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2433.3 (b) -2\/13 (c) -0.3 (d) 2\/7 (e) 0.3 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-50 - -41) + 38 + 16?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -249.76*0.4\nAnswer: -99.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of c**3\/3 + 3*c**2 - c. What is the smallest common multiple of (-2860)\/(-1144)*3\/(-5)*2*-4 and s(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (5 - 3 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 81323*c**2 + 1880526*c**2 - 360276*c**2 + 1513558*c**2.\nAnswer: 3115131*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 614881078?\nAnswer: 2, 7, 19, 2311583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n - 1 + 13 = 0. Solve -2*h = -3*x + n*x + 11, -1 = h + 4*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -750*k**4 + 116177700*k**3 + 46471160*k**2 + 55765424*k\/9 + 2478464\/9 = 0. Calculate k.\nAnswer: -2\/15, 154904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9354 - -9479. Solve -x*d + 4 = -124*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -4*s + 4*d, d + 17 = -3*s - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -93817 + 132827. Suppose w + b = 5*x, 5*w + 4*x + 85868 = -109124. Round w to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -558, -590, -642, -714, -806, -918?\n\"Answer: -10*p**2 - 2*p - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, s: 7, v: 3}. What is prob of sequence vs?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -112145*c + 31. Calculate u(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -7 + 1 + 19 - 83*a**2 - 23*a**3 - 7 + 11*a**4. Let w(f) = -2*f**4 + f**2 - 1. Let z(c) = k(c) + 6*w(c). What is the third derivative of z(n) wrt n?\nAnswer: -24*n - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the second derivative of 7*m**5\/60 - 39*m**4\/8 - 9*m**2 + 90*m. Let b(f) be the first derivative of x(f). Find the second derivative of b(j) wrt j.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2108?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -14 - (13 + -26) - (-7 + -5 + 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (((-5520)\/(-10260))\/46)\/((-624)\/162 - -4)\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 32, 8, -44, -142, -304, -548?\n\"Answer: -3*k**3 + 4*k**2 - 15*k + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 569837 + -2?\nAnswer: 569835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-48)\/22*(-924)\/(-168).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56353868 is divided by 230.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -c + -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 2*q**2 - 2*q + 2. Let x(r) = -2*r**2 + 3*r - 3. Let t(m) = -3*s(m) - 2*x(m). Let y(h) = 23*h. Determine t(y(v)).\nAnswer: -1058*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 8960*q + 67 = 8961*q - 3*l, 7*q - 33*l + 35*l + 60 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.386649 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-832)\/(-120) + -7 + (-2)\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3386, -6769, -10152, -13535, -16918, -20301?\n\"Answer: -3383*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a**3 - 3*a**2 + 6*a**2 + a**3 - 4*a**2 + 3*a as u*a + b*a**3 + s + i*a**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -341 - -248. Let x = j - -96. Solve -x*z = z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5 - 1) + -18 + 36 + -20\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1171.5 + -1171. What is the second biggest value in 3.3, s, -1, 4?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2*m**3 + 17*m**2 + 5*m. Calculate the lowest common multiple of 6 and q(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 + 4 - 1)\/3. Let y = -8 - -10. What is the smallest value in m, y, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - -3. Suppose 2*u = 4*c - 16, f*u - 5*c = 4*u - 20. Which is greater: u or -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*s - 2*p - 27854 = -36*s, -2*s = -5*p - 55710. What is s rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-one quarters of a tonne in kilograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -5*p - 2*j - 3, 5*p + 25 = 5*j. What is the remainder when 6*(-3)\/27*102\/p is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1c3 (base 14) to base 16\nAnswer: 16f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8\/5 + -46\/35. Which is smaller: o or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.91 + 0.09. Let d = -0.7 + t. Suppose -5*z - 1 = 24. Which is the third smallest value? (a) d (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -242*b**2*i**2 - 2983*b**2 + 212*i + 72 wrt i.\nAnswer: -484*b**2*i + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m + 22. Let o be z(19). Suppose 6*g = 9*g + 4*j - 130, o*g + 2*j = 140. Calculate the greatest common divisor of 800 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 27875253 and 86310.\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.0402 + -0.040161. What is q rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 210*a = -190*a - 8*a + 22780272. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -5*q**3 + 228600*q**2 + 75750605*q = 0.\nAnswer: -329, 0, 46049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes before 4:11 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1768 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 13 - 4a94?\nAnswer: -4a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve h = 12*h - 44 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -3*v. Let q(u) = 10*u - 7. Let r(f) = 7*f - 5. Let z = -11 - -8. Let y be (z + -2)*-1*1. Let a(j) = y*q(j) - 7*r(j). Give i(a(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -77\/228 and 35\/11168824.\nAnswer: 636622968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -400*n**6 - 3*n**2 - 28*n wrt n.\nAnswer: -48000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 79735921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -47195.7 rounded to the nearest one hundred?\nAnswer: -47200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 115, 2, -641, -21, 4 in increasing order.\nAnswer: -641, -21, 2, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-44)\/(-110)*(-715)\/(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - 0*(0 + 1). Let i be s\/(-6) + 7\/3. Suppose -5*t = -5*p - 55, -3*t = t + i*p - 50. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-27)\/(-3))\/((-4)\/13) - 1\/(-4)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 56\/5 of a meter?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What is 732870329 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 158 and 16.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 6*a**2 - 21*a + 3. Calculate w(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -74976 = 2548*y - 205*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 15569 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -34434223 + 0?\nAnswer: -34434223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 m, 1 i, and 1 r when four letters picked without replacement from nsimori?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 808 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 33196518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 52*q**3 - 5019888*q**2 + 121151135424*q - 37276797184.\nAnswer: 4*(q - 48268)**2*(13*q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.0452819l?\nAnswer: 45.2819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 250521589*d + 696321046 with respect to d.\nAnswer: 250521589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*t + 4*t - 167 = 103 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 6473.152 years to months.\nAnswer: 77677.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the second derivative of i**3\/6 - 13*i**2\/2 - 3*i. Let j be u(-4). Is j greater than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, a: 3, l: 1, v: 2}. Give prob of sequence ag.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17369?\nAnswer: 11, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 2 v, and 1 u when four letters picked without replacement from pvuv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 12\/11 in -21, -32064, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -58*f**3 - 2*f**2 + 14*f + 63. List the prime factors of o(-7).\nAnswer: 3, 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 7*q**2. Let o(k) = 20592*k - 1. What is o(r(d))?\nAnswer: 144144*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/(-6)*(8\/(-28))\/((-2288)\/182).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/(-15))\/(186\/(-30) - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (2 - (-4 - (2 + -4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3c6 (base 15) in base 6?\nAnswer: -3553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(9\/2*(-92)\/69)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28 + -25 - 22 - (0 - 30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 22 = -4*d + 12, -3*d + 22 = -p. Let x be ((-6)\/d)\/((-3)\/12). Let i be (-15)\/(-15)*2\/x. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 10441846.\nAnswer: -2\/5220923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) 2 (c) 142 (d) -0.1 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -653 * -7\nAnswer: 4571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -145 = -5*c + 4*q, -43 = -c - 2*q - 0*q. Let b be (-2)\/(-6) - c\/(-9). Let d = 21 - b. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -3510*0.1\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 122712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/(-4)*(-10)\/(-15)*81. Suppose -3*y - 3*w + 311 - 89 = 0, 0 = 5*w + 10. Let x = v - y. Solve -5 = -x*p + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 2*l**2 + 6*l - 1. Let w be h(5). Suppose 4*m - 3*i = 72, 9*m - 4*m - i = w. Suppose -3*o = s - 35, -m = -4*o + 6*s - s. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/16*(37\/(-148))\/(14\/(-1344)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2720 and 642464?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -2*z**2 - 16*z + 2. Let d be x(-8). Solve -2*b + 5*j = 7, -3*b + 3*j + 5 - d = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ttv when three letters picked without replacement from {v: 2, t: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1018241309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -9.2658785 * 0.1\nAnswer: -0.92658785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from tcyij.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1020*k**2 + 4 - 232*k**2 + 137*k**2 + 270*k**2 to the form f*k**2 + y + m*k and give f.\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -61 - -32. Let q = 53 + m. Let w be (1\/(-2))\/(3 + (-76)\/q). Solve n + w*r = -1, -4*n = n - 2*r - 29 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c**3 + 3*c**2 + 19*c - 47. Calculate r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(1 + (sqrt(1300) - 4*(1 + sqrt(1300))) + 4 + 3 + -2)**2 + -4.\nAnswer: -35116 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 667032?\nAnswer: 2, 3, 27793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 225999.\nAnswer: 3, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 3*m + n, 5*n = -2*m - 62 + 57. Let v(q) = 4*q**3 + q**2 + 5*q + 7. Let x(i) = 2*i**3 + 2*i + 3. Let j be 14\/(-4)*(-12)\/21. Give j*v(g) + m*x(g).\nAnswer: -2*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-5)*(234\/(-12))\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 6 + 87*a - 8 - 163*a - 8 + 79*a. Let o(t) = 2*t - 9. Determine -4*k(n) + 5*o(n).\nAnswer: -2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 84\/(-12)*((-36)\/21)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -10*w + 2 + 5*w + 8*w + w**3. Let l be q(3). Calculate the least common multiple of 1 and (-6)\/12 + l\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -m**3*t**2 + 17*m**3*t - 13*m - 39*t**2 - 1 wrt m.\nAnswer: -3*m**2*t**2 + 51*m**2*t - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2390 is divided by 343?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 52 - 43. Suppose -i - b = -4*i. Calculate the lowest common multiple of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**3 + g**2 - g + 1. Let p(v) = -45*v**3 + 40*v**2 - 40*v + 40. Calculate -3*p(l) + 120*z(l).\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -34349955*o**3 - 27417315*o**2?\nAnswer: -206099730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45659120 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 13577958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**3\/3 + 259*v**2 + 194*v\/3.\nAnswer: v*(v + 194)*(4*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -12 - (-6 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 27273 = 49*u - 44*u, 3*k - 10893 = -2*u. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/567*18)\/(3*9\/(-1323))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -526822992 minus -0.19?\nAnswer: -526822991.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4*1\/16 + (-399)\/(-4) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -19 + 36. Let a = 16 - 22. What is the remainder when v is divided by ((-8)\/a + (-6)\/2)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 - (-1 + (3 - 3)). Suppose 3*d - 3*f - 78 = k, d + 2*f = 14 + 9. Solve 3*a + d = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 115518913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -13 - -18. Let l(w) = w - 7. Let m be l(n). Let q(j) = -4*j + 1. Calculate the remainder when 17 is divided by q(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (84\/49)\/(4\/434). Let g be -15 + 8 - t\/(-24). Suppose 5*k + 28 = -2*o, -3*o + 5*o = 3*k + 4. What is the closest to o in -5, -2, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that 134\/3*d**3 + 130\/3*d**4 - 98\/3*d**2 - 148\/3*d + 14\/3*d**5 - 32\/3 = 0.\nAnswer: -8, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -19*h**2 + 3*h**2 - 15*h**2 + 5*h**2 - 1 as w*h + b + y*h**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from msmm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (84\/(-70))\/6*(-3 + 0)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*c**2 + 20*c**2 + 3*c**2 + 2*c**2 - 1 + 1 + (-1 - 2*c + 1)*(-1 + 1 - c) + 10*c**2 - 3*c**2 + 2*c**2 as a*c + d + j*c**2 and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppcpccppbnppnpcp. Give prob of picking 1 b and 1 c.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.04 + -2. Let t = 6 - 11. Let v = 1.3 + -0.3. What is the biggest value in v, z, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 1898*l**3 - 51*l**2 + 86*l - 34. What is c(1)?\nAnswer: 1899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/14*10\/6*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**2 - 7*z - 8. Let v be y(-6). Let h(g) = g - 5*g + 5 - 3 - 3. What is h(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 4*d**3 - 16*d**2 + 40*d + 2. Let z be a(4). What is the greatest common factor of z and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**2 + 7*h - 22. Calculate r(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 192756151 divided by -4.\nAnswer: -192756151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of w**3\/3 + 7. Let a(n) = 5*n. Determine a(g(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*(i**(1\/16)*i)\/i*i\/i**4*(i**(2\/13)*i)**(-1\/9) assuming i is positive.\nAnswer: i**(-1289\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 696 and 4?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7477282315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 6 + 4, -b = 5*a + 24. Which is smaller: b or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 558113 and -94.\nAnswer: 558019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be 68\/170 - 16\/(-10). Suppose -3*i + 3 = -2*g + 5, -5*i - 2 = -3*g. Suppose -g*p - c = -4*c - 1, 0 = 3*p - 2*c - y. Solve p*n + 5 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-10))**38*i**(-16)\/i*i*i*i\/(i\/(i\/(i\/(i**(-2)*i*i))*i)) assuming i is positive.\nAnswer: i**(-394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*n = -2*n + n + 1050. Solve n = -74*p + 67*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 26.7624 + -0.0624. What is w rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 7572417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -14 - -50?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**2 + 73294*p - 439724. Let o be c(6). Solve 20\/3 + 52*b - 148*b**3 + 80\/3*b**o + 188\/3*b**2 = 0 for b.\nAnswer: -1\/4, -1\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 150 - 158. Let u(p) = -2*p**3 - 13*p**2 - 10*p - 4. List the prime factors of u(o).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 4 + 1)*(1 - 1 + 9)*(-q + 4*q - 2*q + (-2*q - 2*q + q)*(2 - 1 - 4)) to the form y*q + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*l - 258985 + 63065 = 0. Round l to the nearest one hundred.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10149804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 23*p**2 - 10*p - 7. Let c be r(5). Suppose 4*l - 3*l = 2*y - c, 0 = 5*y - 3*l - 1297. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 0*w + 2 = -2*w, y + 2*w + 6 = 0. Suppose y*k + 36 = -0*k. Let j = -5 - k. Solve 1 = -v, 0 = -j*i + 3*v - 1 - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 + -3.02. Let z = u + 0.08. Let t = -0.05999966 + z. What is t rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j. Let h(c) = -c**3 - c**2 - 6*c + 5. Let f(i) = h(i) + o(i). Let r(b) = -4*b**3 - 4*b**2 - 15*b + 16. Let p(u) = 7*f(u) - 2*r(u). Factor p(g).\nAnswer: (g - 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -45045 divided by 455?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 22446*k**2 + 46712*k wrt k.\nAnswer: 44892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 2*u = 6, -5*u - 10 = -4*x. Suppose x = 3*p + 4*c - 66, -4*p = 4*c - 94 + 2. Let k = p + -6. Solve -4*w = 3*i + k, 2*w - 5*i = -w + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:38 AM and 11:38 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u = 4*t + 3 - 24, 0 = u - t + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -7*u - 14. What is the closest to u in 2\/7, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35065 = -50*a + 34215 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/14)\/(((-142)\/(-213))\/((-112)\/15))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 244 + -232. Calculate the remainder when 106 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 >= 6\/277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1674 + 386 = 322*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add -8.270584 and -0.05972.\nAnswer: -8.330304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 + -3. Suppose v*t + 2*t + 3*i - 35 = 0, t + 5 = -3*i. Solve t = -3*f + f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -764*n + 767*n + 9. Which is the second smallest value? (a) 5 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6.25 - -6. Let d = -6.25 + f. Let v = d - -6.5053. What is v rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 43 + -37. Let t(k) = -2*k + y*k - 7 - 3*k. Give t(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 + 14*z**2 + 22*z - 14. Let v = -4862 + 4850. Calculate i(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9460 is divided by 2553?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 8\/(-24) - (2 - (-19)\/(-12))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 22\/5*(0 - (-25)\/10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 38 = 2*n, -2*n - 6*w - 30 = -5*w for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -4*l + 65. Let w be q(17). Let m be w + (2 - -25)\/3. Solve -m = 2*o - 0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 3*g - 39, 25 = -g - 4*g. Let u be i\/10*(-20)\/6. Suppose -u*h + 80 = -116. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 920 - 918.514. Let d = -0.486 + c. Sort -96, d, 0.1.\nAnswer: -96, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 746412732 and -0.4.\nAnswer: 746412731.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i + 83 + 277. Is 60 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the third derivative of g**5\/12 - 11*g**4\/12 + 7*g**3\/2 + 57*g**2 + 32*g. Give d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1a43 + -3?\nAnswer: -1a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from caccacccca.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4535 - -1)*3\/6. Let t be (-465)\/2*(-1315)\/(-135). Let y = t - p. Find the common denominator of y and -103\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.19 - 0.39. Let u = 0.1 - 0. What is the nearest to 1\/2 in u, -0.4, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q**5\/11 + 8*q**4\/11 - 50*q**3\/11 - 16*q**2 - 120*q\/11 = 0 for q.\nAnswer: -6, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 46090243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 92*y**2 + 181*y - 67*y - 127*y + 13*y.\nAnswer: 92*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 198*d = 1920 + 258 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4\/7 - 1) + 144\/(-56). Suppose -9*p - 979 = 2*p. What are the prime factors of p\/z + 3 + (-8)\/3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*i**4 + 120*i**3 + 560*i**2.\nAnswer: -5*i**2*(i - 28)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -108364.0400035 + 108376.04. Let p = f + -12. What is p rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3112 + -113130?\nAnswer: -110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sum 81647 and -493007.1.\nAnswer: -411360.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the second derivative of q**6\/15 - q**5\/40 - q**4\/6 + q**3\/12 - 12*q. Factor k(m).\nAnswer: m*(m - 1)*(m + 1)*(4*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4526 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-15 + 15 + 5*s)*(5*s - 5*s + 23*s**2) + (-6 + 6 - 4*s)*(2*s**2 + 4*s - 4*s) to the form x*s**2 + a*s + g + q*s**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -46 - -275\/6. Let l(a) = -a - 40. Let d be l(0). Calculate the common denominator of (15\/d)\/((-30)\/808) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, r: 3, n: 2, g: 4, v: 6, z: 1}. What is prob of sequence gre?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3 + 11*g**4 - 379*g + 1538*g - 7*g**3 - 289*g + g**2 - 456*g wrt g.\nAnswer: 132*g**2 - 42*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -16067\/5 + 3214. Which is the third biggest value? (a) -4 (b) 103 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41972 is divided by 5245?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-3))**(-6)*d*d\/(d\/(d\/(d*d\/(d\/(d\/(d\/(d*d**(-11)*d*d)))))))*d*d**2 assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 3*z - 120, 3*t - 161 = -0*z - 4*z. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -33 + 4. Let y = v + 29. Let r be (-4)\/(2\/(-600) + y). What is r rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -30 - -93. Suppose -v + 12 - 41 = -s, 3*v = -3*s + r. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4.23340371 to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the first derivative of 10*y - 120 - 4*y**3 + 2\/5*y**5 - 4*y**2 + 2*y**4. Factor n(h).\nAnswer: 2*(h - 1)**2*(h + 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 48\/36 + (-11266)\/129?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1*4\/(-18) + (-3036)\/(-54) and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2 + (-185)\/88 - -1. Let v = -5\/8 + a. Let i = 3258 - 26127\/8. What is the common denominator of i and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4924 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 1207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 3*x = -28, 2*d + 2*x + x = 11. Let f(z) = z**3 - 15*z**2 + 25*z + 16. Let o be f(d). Solve o = -3*n + 6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -8\/227 and -1\/5675?\nAnswer: 5675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -9 - 14*c**3 + 2 + 5*c + 7 + 0 in the form f*c**2 + o*c**3 + g*c + k and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -103 - ((10 - (39 - 27)) + -33)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -968 + 896 = -18*t. Solve 29 = -5*l - 3*v, -31 - t = 5*l + 5*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3330401 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 435967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 463989 and 138537.\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 492380526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 31*f + 4. Let s(n) = -92*n - 11. Calculate 6*s(k) + 17*v(k).\nAnswer: -25*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -17 (b) -1 (c) -4 (d) -2\/111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1027 is divided by 337?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 2*l**3 - 388*l**2 + 540*l - 29843. Calculate g(193).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 58.4 - 60. Let g = -0.121 + 1.121. Is g < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in -138*s + 28*s**2 + 141*s**3 - 133*s**2 + 120 - 15*s**4 - 22060537*s**5 + 22060534*s**5 = 0?\nAnswer: -10, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -8*c**3 - c**2 + 1. Let n be -4*(-8)\/32*(2 + 0). Let v be 7\/((-140)\/(-24)) - n\/10. Calculate z(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.4 (b) 13\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -2015*f + 17407. Determine n(7).\nAnswer: 3302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 472110 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2412892 + -0.2\nAnswer: 2412891.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14640\/25 - (-6)\/(-10) is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*b**3\/5 - 12*b**2 - 21*b\/5 + 6\/5 = 0.\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g**(-5\/3)))**(1\/4))**(-19) assuming g is positive.\nAnswer: g**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s + 3*a = 3*s - 24, -a = 4*s + 23. Let w be -1 + (-22)\/(-6) - 11\/(-33). Let h(q) = 205 - 204 + 3*q**3 + 2*q + 2*q - 2*q**w + 6*q**2. Calculate h(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -264, 1\/9, 4 in ascending order.\nAnswer: -264, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-14*1)\/2)\/(1233\/2466)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 218026683?\nAnswer: 3, 7, 17, 23, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, -1, -6, -2, 159, 11.\nAnswer: -22, -6, -2, -1, 11, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2014 is divided by 528.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 - -10.9. Let y = -0.1 + t. Which is the nearest to 1? (a) -0.4 (b) 3\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 5613.\nAnswer: 16839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 3*l = 269, -2*l + 161 = 5*u - 168. Suppose -32 = -0*y - y - v, 0 = -3*y + 5*v + 112. Calculate the remainder when u is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cwi when three letters picked without replacement from {s: 1, i: 2, c: 1, r: 2, w: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 60661.64 litres to millilitres.\nAnswer: 60661640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 11, t: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes before 6:31 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:10 AM and 1:16 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-3)\/6 - 425\/(-10) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((-2 + sqrt(7))*6)**2*-6.\nAnswer: -7128 + 2592*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -6*v**3 + 1. Let b be u(1). Let q = -7.7 - -7. Let w = q + 0.9. What is the smallest value in 1, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(363) - (-2 + sqrt(363))) + -4)*-5 - (1 + -2 + sqrt(363)*1).\nAnswer: -11*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2261 divided by 88.\nAnswer: 2261\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the second derivative of -j**3\/6 + 7*j**2\/2 + 258*j. Calculate i(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9740465.\nAnswer: 5, 7, 83, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -7.76 + -4.91.\nAnswer: -12.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 130 + -125. Solve 10 = n*p + 3*j - 7, 0 = -3*p - 5*j + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*((o*(o**(-3)*o)\/o*o)\/o)\/o)**48)**(-6) assuming o is positive.\nAnswer: o**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -3 - 222*t**3 + 4*t + 7*t**2 + 223*t**3 + 5*t**2. Let o be u(-12). Which is the nearest to 1? (a) o (b) -2 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -166 - -169. Let d(a) = a**3 - 4*a**2 + 3*a + 2. Let i be d(3). Solve 18 = 4*g - 5*n + l*n, g - 7 = -i*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -51 - -46. Let n(v) = 20*v + 125. Does 2 divide n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1071434 or -6428603\/6?\nAnswer: -6428603\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 - -6 - (8 + (-8)\/2). Suppose -f*s + 2097 = 7*s. What are the prime factors of s?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 48\/(-14) - (-9)\/6*2. What is the smallest value in 2\/5, -1, l, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) 4 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 480400 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*c**2 + 0*c**3 + c**2 + 2*c + 3*c**2 + c**3 - 8 to the form b + j*c + z*c**2 + l*c**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -295 - -305. Suppose -o + 44 = q. Calculate the highest common factor of q and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -514791*1752.\nAnswer: -901913832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1387, -2567, -3741, -4909, -6071?\nAnswer: -7227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m. Suppose 11 = 3*w - 5*a + 2, 0 = w - 5*a - 3. Let y(d) = 2 + w + 2*d**2 - 5. What is u(y(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4836 and 6?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is t in -4*t**5 - 8*t**4 + 32*t**3 - 8*t**2 - 28*t + 16 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from krgrgrgggr. Give prob of sequence gkr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 5*s**4 - 18310*s**3 + 23650385*s**2 - 12611158980*s + 2371937912820 = 0.\nAnswer: 529, 1302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23589*-0.3.\nAnswer: 7076.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.1 - 0.3. What is the nearest to 0 in -4\/3, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 5*u + 1. Suppose -3*z - 10 = -5*l, -3*z - 3 - 3 = -3*l. Suppose n = z, -n + 12 = m - u*n. Is 12 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.5 + 1.5. Let k = 0 - -1. Let d = k + 0. Which is the second smallest value? (a) v (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of 0 - 1\/60*i**5 + 0*i + 4*i**2 + 7\/24*i**4 - 1\/6*i**3. Calculate h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -55138, 13, -0.3, -5\/2?\nAnswer: -55138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(152) + (sqrt(152) + -2*sqrt(152) - sqrt(152)) + sqrt(152)) + sqrt(152))\/((-2*sqrt(72) - sqrt(72))\/sqrt(9))*-5.\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.07 * -5.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b + 3. Let g = 136 + -143. Let t(n) = n**2 + 4*n - 17. Let o be t(g). Determine z(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 88032*b**4 + 87389*b**4 - 174786*b**4 + 0*b - 4*b**4 + 0*b + (-b + 2 - 2)*(-2*b + 2*b - b**3) to h*b**4 + l*b**3 + y*b**2 + f + i*b and give h.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 32 + 10. Calculate the greatest common factor of i and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -84.6 * 12.94\nAnswer: -1094.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 50 = 3*g. Let z = 4 + g. Suppose t + 2*y - z = 23, -3*y = 5*t - 220. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 169075 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -4*s - 55. Calculate m(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.4, -1\/3, 1929.73, 52?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 242 and 16970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 945746?\nAnswer: 2, 103, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -927 + 938. Suppose -2*l + 3728 + 2142 = 4*z, -4*l + 4390 = 3*z. Suppose b - g*b + z = 0. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -656 - -658. Factor -2*z**2 + 6*z**h + 400*z - 396*z.\nAnswer: 4*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/331, -0.1, -25, 3, 1?\nAnswer: -2\/331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 23*p - 46*p + 23 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 134, 94, 46, -22, -122, -266, -466, -734?\n\"Answer: -2*u**3 + 8*u**2 - 50*u + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*v**3 + 33*v + 67*v + 61*v - 160*v.\nAnswer: 4*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are -2 and -65\/27 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4925382 rounded to four decimal places?\nAnswer: 0.4925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -5*v**2 - v + 6*v**2 - 1 + 2. Let r(x) = 2*x**2 + 2*x + 9. Let c(o) = r(o) + 2*w(o). Differentiate c(y) with respect to y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 113 divide 1522521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 253441638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppcbpkbcpppbctbkpk. Give prob of picking 1 k and 1 p.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the second derivative of -v**7\/420 - v**6\/360 + v**5\/60 - v**4\/24 + v**3\/6 - 2*v. Let w(a) be the second derivative of p(a). Determine w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 135\/(-120)*((-12)\/10)\/1. Let s(w) be the first derivative of 3\/4*w**2 + 15\/4*w**4 - 3 + o*w**5 + 13\/4*w**3 + 0*w. Solve s(v) = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**2 - 5*k + 2. What is j(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -5*f + 218, -4*j + f - 619 = -255. Which is greater: 10.6 or j?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 46, 48, 66, 112, 198?\n\"Answer: 2*u**3 - 4*u**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 58 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the third derivative of t**5\/20 - t**4\/6 - t**3\/6 - 6*t**2. Let j be g(2). Which is the nearest to -6? (a) -0.1 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -42 * -3007\nAnswer: 126294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 12633 = -3*x - 4788, -4*b + 69691 = -5*x. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 691 a factor of 12979744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 989*g + 422*g - 579*g.\nAnswer: 832*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from batabaaatgthbgk. What is prob of sequence ak?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1583 = 5*n + 112. Let j = n + 576. Is 6\/18*1*j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = -v - 41, 2*g + 110 = -2*v - 2*v. Let a = 15 + v. What is the smallest common multiple of (-172)\/(-28) - (-2)\/a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -36 (base 7) to base 9\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4986 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7315032 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 145, -10, 28 in increasing order.\nAnswer: -10, 28, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 25 + -17. Suppose -6*n = -f*n - 6. Does 3 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (181 + 159 - 357 - 9*s)*(-6 + 2 + 2).\nAnswer: 18*s + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/12)\/((-5535)\/(-30996))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4\/121 + -504\/605. Which is the smallest value? (a) 10\/11 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -209.1, -0.4, -3?\nAnswer: -209.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*q**2 - 3*q**2 + 3*q**2)*((-4 - 3 + 5)*(6 - 2 - 2) - 1 + 3 - 5).\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u - 5 - 2. Suppose -x = -u - 21. Suppose -x = -0*y - 4*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26\/221 - (-111482)\/34?\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 6*w**2 + 1163*w + 2. Let m(u) = -37*u**2 - 6984*u - 12. Calculate 4*m(i) + 25*v(i).\nAnswer: 2*i**2 + 1139*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 3*p**4 + 762*p**3 + 756*p**2 - 762*p - 759 = 0.\nAnswer: -253, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -2275282\nAnswer: 2\/1137641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1809 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23949602.\nAnswer: 2, 47, 254783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -16900 by 50.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:18 PM and 8:44 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -4*u. Let w(h) = -h**2 + 2*h + 2. Let n(z) = -5*z**2 + 9*z + 9. Let g(x) = -4*n(x) + 18*w(x). Calculate p(g(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-1))**49*(f\/(f*f**(3\/2)))\/f**(-2))**(2\/59) assuming f is positive.\nAnswer: f**(-97\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1440349, 1440359, 1440375, 1440397, 1440425?\n\"Answer: 3*k**2 + k + 1440345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 374 - 3*r**2 - 6*r - 191 - 173. Let g(i) = 7*i**2 + 13*i - 20. What is -13*b(j) - 6*g(j)?\nAnswer: -3*j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/3 + 5\/(-3). Suppose -2*l - 12 = -5*l. Sort 5, l, y.\nAnswer: y, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-51)\/34*(-6)\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 27*m**2 - 24*m + 19. Is i(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -30 + 63. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 21 - 13. Calculate the remainder when (0 + 8)*(-7 + t) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (f**2 + 1 + f**2 - f**2)*(3*f + 2 + 1 - 4*f).\nAnswer: -f**3 + 3*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3c6 + -95a9?\nAnswer: -91b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - 21 + 3. Let c be (3\/i - 1)*22. Calculate the common denominator of 21\/4 and c\/5 + (-9)\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the second derivative of -u**8\/336 + u**7\/840 + u**6\/360 - u**4\/12 - 2*u. Let f(i) be the third derivative of t(i). Factor f(m).\nAnswer: -m*(4*m + 1)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -53 + 52.7. Which is the smallest value? (a) -10 (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-9)\/(-6)*(-8)\/(-6). Let m be 3\/w - (-219)\/(-144). Suppose 12 = -66*i + 54*i. Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -q**2 + 2700 + 2744 - 2*q**4 - 5446 - 864*q to p*q**2 + u*q**4 + v*q + s*q**3 + j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, h: 2, l: 2, r: 2, v: 5, t: 2}. What is prob of picking 1 r and 2 l?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes after 6:53 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = -3*w - 12*w. Let x be ((-6)\/5)\/(9\/(-30)). Solve w = 4*b + x - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -786*j**5 - 2930*j wrt j.\nAnswer: -15720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - -57 - (2 + 19 + -14).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - j - 4 = 4*u, 3*u - 12 = -4*j. Suppose 2*x - 18 = -3*o, -u*x - 5*o + 29 = -5. Is (-2 + 27\/x)*38 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3157?\nAnswer: 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1023322 (base 5) to base 13\nAnswer: -7b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -626*u**2 - 765*u**2 + 1512*u**2. Let q(c) = 111*c**2. Determine q(a(i)).\nAnswer: 1625151*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2054622581 to the power of 1\/2, to the nearest integer?\nAnswer: 45328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10\/(-8)*27\/15. Is -2 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i**2 + 65*i - 204*i**3 - i**2 + 770*i**3 - 569*i**3 + 5*i.\nAnswer: -3*i**3 + 70*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 263980 * 0.19.\nAnswer: 50156.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hgh when three letters picked without replacement from {g: 7, h: 12}?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w**3 + 3*w**2. Let z(c) = c + 9. Let m be z(-11). Let s be q(m). Sort s, 0, -3 in decreasing order.\nAnswer: s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5903 + -5896. What is the second smallest value in a, 2\/23, -3\/2, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06915 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 5*z - 37 = 38, 0 = -96*c + 95*c - 4*z + 27 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 336589 = 459*l - 503381. Calculate the remainder when l is divided by 185.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1105 to three decimal places.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 80988 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -3*r**3 + 184188*r**2 + r**3 + 663 - 184186*r**2 in the form m*r**3 + d + g*r + w*r**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -137713a7 + -c?\nAnswer: -137713b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 120\/(-55)*1914\/(-116) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 2 - 1)*(1 - 1 - 2*b) + 2*b + 1 - 1 + 17 + 20 - 8*b - 33.\nAnswer: -10*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/(-18)*1\/6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5.015 + -0.015. What is the fourth biggest value in 1, -0.5, z, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -152, -214, -276, -338, -400, -462?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*y + 591*w - 592*w - 14, -4*y - 26 = 5*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0*(4\/(-1))\/20)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 129887995 + -179.0831\nAnswer: 129887815.9169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -564 (base 7) in base 2?\nAnswer: -100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 361 - 346. Let s(p) = 2*p**2 - 31*p + 18. Let b be s(h). Solve 4*v + b + 5 = 5*d, 0 = 5*d + 4*v + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/199, -1\/17, 9\/2?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/34)\/(396\/(-154836))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y. Let w(r) = r. Let j(m) = -6*g(m) + 7*w(m). Let l(i) = 2*i**2 - 8*i - 2. What is 5*j(v) + l(v)?\nAnswer: 2*v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 478, -15.\nAnswer: -15, 5, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -12.1 + 12. Which is the closest to v? (a) -1\/6 (b) 1\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1588 + 1590 + 3*c**2 - 4763 + 1585.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b + 129. What is z(18)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 107734 + -22055. Suppose r - s = 5328. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + ((sqrt(300) + sqrt(300) + (sqrt(300) - (sqrt(300) + -1*sqrt(300) + sqrt(300))) + sqrt(300))\/sqrt(10))\/(5*sqrt(54) - sqrt(6)) + -3)**2.\nAnswer: -3*sqrt(5) + 9649\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 211*q + 28273 - 7173 = 0 for q.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 263511319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**3 - d**2 + 2*d + 3. Let x be h(0). Suppose -3*v = x - 18. Suppose -5*k + 2*j = 6*j - 72, v*j = 4*k - 74. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 + -240574?\nAnswer: -240575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j - j - 322 = -4*t - 390, 5*t = 16*j - 43 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Total of -129.1262 and 0.\nAnswer: -129.1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + 3*x + 60. Let j(u) = -u - 13. Let d be j(x). Solve 6 + 8 = 2*v - 5*a, -3*a - 2 = d*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 5, r: 8}. What is prob of sequence rbrr?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -2*g - 3*d, 4*g - 2*g - 2*d = -6. Suppose g*w = -0*w - 2*w. Suppose 5 = 3*m - 7. Solve -3*u - m + 13 = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2202?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u**2 + 2881482*u - 8644428 = 0 for u.\nAnswer: 3, 1440738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/(-3)*(-60)\/8. Let j = v + 13. Let g(s) = -s + s - j*s. Let t(d) = 3*d. Determine t(g(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -696.29 or 9.2?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddddsddsddd. What is prob of sequence dd?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z - 2*s - 0*s - 31, -4*s - 7 = -z. Let q = 27 - z. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 5*s + 1918007*s**3 - 1918010*s**3 - 3*s - 6*s**2 + 90*s**4 in the form h*s**2 + f*s**3 + b*s + g*s**4 + l and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -256 + -231a?\nAnswer: -2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + 140.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve f - 9 = -5*o, -3*o + 3 = -11*f + 12*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9.5 - -13.4. Let g = -1.1 - y. Are 1\/4 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-52)\/910*21)\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 48853410.1 rounded to the nearest ten thousand?\nAnswer: 48850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-83)\/((-425209)\/141)*4\/6?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let f = -7960 + 7962. What is the highest common factor of f and 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 3*p + 494 = -245, 0 = -2*q + p + 289. Suppose -q - 65 = -o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 475475309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in c + 141 + 184 - 2*c - 363 + 0*c.\nAnswer: -c - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**3 + 4*h**2 - h - 10. Let w be p(-3). What is the derivative of -18422*i**2 - 3*i**4 - 165 + 18422*i**w - 69*i**4 - 17*i**4 wrt i?\nAnswer: -356*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4\/6)\/(16\/408). What is the second derivative of -h*r + r**3 + 4*r**3 + 19*r**3 - 9*r**3 wrt r?\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2\/7)\/(2\/14). Solve -g + t = -2*g - s, 2*g = 4*s + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*y**2 - 800*y - 52500 = 0. Calculate y.\nAnswer: -50, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 325727938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 170\/9, -3.38, 0.2.\nAnswer: -3.38, 0.2, 170\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -621 + 166. Let a = p - -458.57. What is a rounded to 1 decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 23\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -785928*q**3 + 394652*q**3 + 377880*q**3.\nAnswer: -13396*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -154 - 20 = 5*z - 10*z + 111, 198*v + 26*v = 5*z - 733 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 10*a**3 + a**2 - 5*a + 5. Give s(2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1546757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 15.48 * 0.01\nAnswer: 0.1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m = -4*t + 4, -2*t = 9*m - 4*m + 33 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 5, -4\/13, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -73 + 107. Calculate the remainder when b is divided by ((-4)\/(-8))\/((-3)\/(-72)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 559.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 4*i - 6*i + i. Let k(j) = -j**2 + 10*j - 6. Let z(n) = -4*h(n) - k(n). Suppose 0 = -249*r - 242*r + 494*r - 15. What is z(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x**3 + 16*x**2 - 12*x - 37. Is w(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -62*o - 573. List the prime factors of t(-38).\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 441*c - 259*c + 2366 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 64 - 62. Suppose -2*w - n + 66 = 0, n = 3*w - n - 113. Suppose 0*j + z - 21 = -q*j, w = 3*j - 2*z. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3 - (-3 + 0))*-1. Suppose -2*v + 2*u - 9 - 5 = 0, l = 4*v + 3*u + 7. Let h = -434 + 434. Sort 6, v, h in descending order.\nAnswer: 6, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.019 and 1.67.\nAnswer: 0.03173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -3456331 by 3456331.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4215 and 1405?\nAnswer: 4215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 + 2*g + 0 + 2*g + 0 + (0*g - g - g)*(-1 - 3 + 2) - 3*g - 2*g + 6*g - 16 + 16 + 2*g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2850\/175 + -16)\/(1 - 53\/(-7)). Let f(m) be the third derivative of 3*m**2 + 0*m**4 - v*m**5 + 0*m**3 + 0*m + 0. Let j(z) = -36*z**2. Give j(f(k)).\nAnswer: -144*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -9*w**2 - 58*w + 36. Let m be i(-6). Solve -m*j = -70*j - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9888158*x**4 - x**2 + 10499951?\nAnswer: 237315792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 - 55*i**2 - i. Let o(a) = 4255*a**3 + 3795*a**2 + 69*a + 1265. Let h(m) = 69*b(m) + o(m). Differentiate h(s) wrt s.\nAnswer: 12972*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (104*a + 89*a + 185*a + 3*a + 134*a)*(-36*a**3 - 60*a**3 - a**3) to the form t*a**3 + d*a + h*a**2 + w*a**4 + s and give w.\nAnswer: -49955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -113434146?\nAnswer: 2\/56717073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 374*b - 361*b - 390377. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2046.169 centuries in decades?\nAnswer: 20461.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -1628*j - 148162. Calculate l(-91).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 - 3. Suppose -3*j - 5*c + 19 = 0, 5*j + i = 2*j + 5*c. Let -2\/7 + 2\/7*a**2 - 2\/7*a**j + 2\/7*a = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 15067, 15071, 15075?\n\"Answer: 4*n + 15063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -4*c**3 + 4*c + 4785358 + 3*c - 4785365 + 7*c**2. Let o(p) = -2*p**3 + 4*p**2 + 4*p - 4. What is 7*o(f) - 4*u(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -46 + 24069*y + 14 + 73 - 41 in the form s + k*y and give k.\nAnswer: 24069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -7*b + 4*b. Let a(r) = 4*r**2 - 3*r + b*r - r**3 - 2*r. Calculate a(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4, 3, -2, 13999, -5.\nAnswer: -5, -2, 3, 4, 5, 13999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the third derivative of b**6\/180 + b**5\/45 - b**4\/36 - 2*b**3\/9 + 8*b**2. Let c(r) = 0. Calculate r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 19543545 and 40635.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -1475353 (base 8) in base 16?\nAnswer: -67aeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of -v**5\/10 + v**4\/12 + v**3\/6 - 2*v. Let s be z(-1). Solve -s*g - 4*b = 21 - 9, 3*b = g - 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.20471 + 0.01671. Is y less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l - 3. Let i(y) be the first derivative of y**2\/2 - 3. Let t(c) = 5*c + 7. Let r(a) = -4*i(a) + t(a). Let p be r(-11). What is m(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1638)\/(-42)*9\/(-27)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 350 + -345. Sort o, -3, -13.\nAnswer: -13, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y**2 - 58015*y + 15476196 = 0. What is y?\nAnswer: 268, 57747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*n = -6*n - 6. Let l(g) = -g**2 + 4*g - 1. Let x be l(n). Suppose -4*m + x = -41. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -63880, -63914, -63958, -64012, -64076, -64150, -64234?\nAnswer: -64328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**3 - m**2 + m + 4. What is v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6544450 = -3*q + 8*q. Let n(d) = -3051*d**3 - 5*d**2 - 11*d - 12. Let i be n(-6). Let a = q - i. Round a to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17 + 12. Let w be 0\/z - (-2 + 1). Let i = 0.3 + -0.3. Sort w, i, -3 in descending order.\nAnswer: w, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12040 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10, 33, 52, 67, 78, 85, 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1, -1\/6, 0.99, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**0*w*w*w**(2\/5))\/((w\/(w*w\/(w\/(w\/(w\/(w*w\/(w\/(w\/(w\/(w**(-2\/7)\/w)*w))))))))*w)\/w**6) assuming w is positive.\nAnswer: w**(249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 214, -4.\nAnswer: -4, 0, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 21481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 104*b - 99*b - 408 = 0, -360 = -3*i + 3*b. Calculate the smallest common multiple of i and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 0*j + 2*j = 12, -4*j = -s - 20. Let w = s - -10. What is the least common multiple of 4 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 7. Let r(p) = 5*p**3 - p - 4*p**3 - 6 - 5*p**2 - 4*p. Determine r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -2*w**2. Let p(c) = -14*c**2 - 13. Let d(n) = n**2 + 1. Suppose -273 = 5*v + 117. Let b(a) = v*d(a) - 6*p(a). What is u(b(k))?\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = 15 - 3. Solve s*q + 3 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*m + 124*m**4 + 5 + 2*m**3 - 4 - 54*m**4 - 66*m**4 - 6*m**3 to z*m**2 + j + x*m + l*m**3 + k*m**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -361533 plus -0.0830727?\nAnswer: -361533.0830727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(40\/(-8)))\/((234\/420)\/39)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11908 + -8286. What are the prime factors of n?\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*y - 78 + 7 = 82 - 15 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = 18 + 6. Suppose -2*m = 2*m + 28. Let g = s + m. Solve 4*j + 1 - g = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wzyjzcyw. What is prob of picking 2 w and 2 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the first derivative of -o**5 - 100\/3*o**3 - 78 + 30*o**2 + 0*o + 45\/4*o**4. Find m, given that c(m) = 0.\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(8640)*1 - (sqrt(60) + sqrt(240)*1))\/(-5*2*1*sqrt(5)) + 3)*2.\nAnswer: -18*sqrt(3)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -43 + 30 + 24 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 + 41*z**2 + 81*z + 102. Give j(-39).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qiuz when four letters picked without replacement from {o: 1, q: 1, z: 1, i: 3, u: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 3*f - 7640 - 20785, -28415 = -5*l + 5*f. What are the prime factors of 6\/(-14) - l\/(-42)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -17398, -17399, -17392, -17371, -17330, -17263?\n\"Answer: a**3 - 2*a**2 - 2*a - 17395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 5*d + 288 = 4*k, -2*k = -d - 148. Let o(w) = -99*w - 16145. Let u be o(-165). Calculate the greatest common divisor of k and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 96 - 106 - (0 - 23).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve p**4\/5 + 3*p**3 + 12*p**2\/5 - 28*p\/5 = 0 for p.\nAnswer: -14, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1071, 4273, 9611, 17085?\nAnswer: 26695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = 3*s - 4*d - 14484, -2*s - 4*d + 9644 = 0. What are the prime factors of s?\nAnswer: 2, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-23)\/((-115)\/145) - ((4 - -4) + 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000085812 to six dps.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**35*x)\/x**(5\/11))\/((x\/(x\/(x\/x**(2\/15))))\/((x*x**(-31)\/x)\/x*x*x*x)) assuming x is positive.\nAnswer: x**(937\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00619201 to five dps.\nAnswer: -0.00619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 - 7. Let i = 121 - 120. What is the biggest value in 4, j, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the first derivative of -5*m**4 + 28*m**3 - 441*m**2\/10 + 171. Find d, given that f(d) = 0.\nAnswer: 0, 21\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*x + 25*x - 120 = 0 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let j = 12 - 6. Let q = j - 4. Solve r + 1 = q*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 0.9185586 centuries?\nAnswer: 9.185586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2\/10 - 20083422*y\/5 + 201671919615042\/5.\nAnswer: (y - 20083422)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -107, 4\/15, 1, -3, -0.3 in descending order.\nAnswer: 1, 4\/15, -0.3, -3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**(-1\/4)*z)**(39\/5)\/((z*z\/(z\/(z*z**(-2))*z))\/(z**(7\/2)\/z)))**(4\/3))**(-2\/25) assuming z is positive.\nAnswer: z**(-374\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -41 + 39 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**2 + 8*i - 5. Let v(r) = 13*r + 5. Let n(t) = -28*t - 11. Let g(c) = -6*n(c) - 13*v(c). Determine -5*g(u) - q(u).\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:22 AM and 10:58 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -258914, -258932, -258950, -258968?\nAnswer: -258986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes after 4:53 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h and 1 k when three letters picked without replacement from hhhhhhhhkhhhh?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1964387923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z + 4*b + 72, b + 57 = 4*z - 2*b. Let f be 177\/12 - 9\/z. Let x = f - -36. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/20 - (72\/45)\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(-8)\/2*(-26601)\/24366516?\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n*n**1\/n)**(2\/23)*(n**2*n)**(-12) assuming n is positive.\nAnswer: n**(-824\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -10*l - 5. Let r be (-4)\/(-6)*(0 - -3). Suppose -47 = -r*z - 9. Calculate the remainder when n(-6) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -60164435 by -5.\nAnswer: 12032887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 1. Let i(d) = 7*d**2 - 5*d + 10. Let s(m) = -i(m) + 5*v(m). Let g(f) = 11*f**2 - 8*f + 8. What is -5*g(w) - 8*s(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -914 - -919. Which is the fourth smallest value? (a) 3 (b) r (c) -2\/5 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -2*v. Let k(a) be the first derivative of -1\/3*a**3 - 27*a + 0*a**2 + 180. Determine k(t(r)).\nAnswer: -4*r**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the second derivative of -z**4\/8 - 289*z**3\/2 - 250563*z**2\/4 - 1001*z. Find q, given that t(q) = 0.\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2487*y + 1 - 1114*y - 1.\nAnswer: 1373*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = 5*k + 18, 10 = t - 3*t - 3*k. Let r be 4 + t + 10 + -3. Suppose 14*z - 16*z + r = 0. Sort -2, z, 0, 4 in descending order.\nAnswer: z, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 119\/34*-2*-1*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u = 4*a + 50, 1004 = -2*a - 4*u + 990 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(1\/2)*a)**(-41))**(-2\/35) assuming a is positive.\nAnswer: a**(123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-6)\/(-10))\/(10\/50). Suppose -7*f + 108 = -v*f. Let i = 52 - f. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 454, 0.2, -0.2, -4 in ascending order.\nAnswer: -4, -0.2, 0, 0.2, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00022737457 rounded to seven dps?\nAnswer: 0.0002274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the first derivative of o**3\/3 - 3*o**2 - 10*o - 4. Let u be p(7). Calculate the remainder when (-10)\/u*(-54)\/(-15) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*b**4*r + 6812*b**3*r + b**3 + 1693*b**2*r + 4*b**2 wrt b?\nAnswer: 192*b*r + 40872*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 147 a factor of 539829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 6463167.9 days?\nAnswer: 923309.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 + c**2. Let s(o) = 7*o**3 - 5*o**2 - o - 2. Let i(b) = 3*b - 17. Let r be i(7). Suppose -q + 3 = -r*q. Give q*s(a) - 5*u(a).\nAnswer: -2*a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes after 6:13 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -12283, -24567, -36851?\n\"Answer: -12284*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -847850.6 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -932686, -932724, -932762, -932800, -932838, -932876?\nAnswer: -932914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (-1 - 0) - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*o**4 - 50*o**3*x**2 + 2*o*x**2 - 21*o wrt o.\nAnswer: -24*o**2 - 300*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -253 + -26?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1132003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6\/1313 or 0.272?\nAnswer: 6\/1313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-49 - 23) + 44 + 1 + 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/9847515 and -89\/296910.\nAnswer: 59085090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 311946596.\nAnswer: 2, 13, 43, 139511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 4*q - 1535, -4*o - 8*q + 3*q = 1228. Let l = -79 - o. Calculate the greatest common factor of 24 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 5*x + 60 = 0, 2*w - 18 = 4*x + 42. Suppose w + 6 = 4*s. What is the highest common divisor of 45 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -18*d + 1. List the prime factors of a(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51 = -2*l - 7*s + 187, 2*l = -5*s + 246. Solve 129*o = l*o + 32 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*v = 35*v - 56. Let y be ((-62)\/8)\/((-9)\/v) + -3. Put y, 3\/5, 5\/2, 2 in decreasing order.\nAnswer: 5\/2, 2, 3\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-16)\/(-40))\/(1\/(-10)). Is (-136)\/b*(-5)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.43 - 162.57. Let p = 175.9 + m. What is p rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 20\/(-50) + (-1)\/10. Sort -7, -0.4, z in decreasing order.\nAnswer: -0.4, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 5, e: 5}. Give prob of sequence ccce.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + (-5 - 1) + (50 - 96)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14 - -18. Let d(h) = -6*h**2 + h**3 - 14*h - p + 4*h - 4*h**2. Suppose 5*v = -4*m + 31, 3*m = 117*v - 115*v - 40. Calculate d(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) -1 (c) 56 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of 3079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**3 + 1066*n**2 + 190480*n + 22648. Determine c(-839).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 + -6. Let d(r) = 3*r**2 + 5*r + 3. Let i be d(m). Let h(y) = -y**3 - 29*y**2 + 30*y + 13. Let z be h(-30). Which is greater: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the third derivative of -l**7\/735 + 11*l**6\/60 + 81*l**5\/35 + 247*l**4\/21 + 664*l**3\/21 - 4*l**2 - 892*l. Determine c so that q(c) = 0.\nAnswer: -2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 153545 (base 6) in base 15?\nAnswer: 4728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 17 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2\/7)\/r*r\/(r\/(r\/r**(-2\/11))*r))\/(r**(1\/2)*r*r*r**3\/r)*(r**(-1\/2))**33\/(r**(-2\/7)\/r)**(-44) assuming r is positive.\nAnswer: r**(-6058\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12, 27, 52, 87?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/3*117\/(-3). Let u be (2\/(-6))\/((-2)\/12). Let o be (u\/(-6))\/((-1)\/39). Calculate the greatest common factor of o and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -4*h**2 + 4*h + 2. Let k(w) be the first derivative of 3*w**3 - 9*w**2\/2 - 5*w + 5. Give -2*k(u) - 5*z(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-3)*8\/(-120)*5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 0 and 152098.796.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Are -1733 and 2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (((-20)\/16)\/5)\/(10\/(-8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 6*l - 8. Let u(j) = 5*j - 7. Let a(r) = -2*g(r) + 3*u(r). Let s(f) = -f + 1. Let d be (0 + -3)*(-20)\/(-31 - -11). Calculate d*a(v) - 15*s(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3587481*(3381\/(-189) + 18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 + 10*z**2 - 3*z - 14. Determine c(9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the second derivative of o**3\/3 + o. Let b(c) = c**2 + 2*c - 4. Let j(y) = 68*y**2 - 20*y + 42. Let x(h) = -10*b(h) - j(h). Calculate r(x(n)).\nAnswer: -156*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 485 and 2299044530.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*(54\/(-33))\/9.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + c)*(5*c - 5*c + 2*c**2) + 2*c**3 + c**3 - 4*c**3 + (4 - 4 - c)*(3 - 3 + c**2) - 4*c**3 + 3*c**3 + 2*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, j: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39 + -54 + 32 + -55.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 8, b: 3}. What is prob of sequence kbkk?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 - -1. Let y = -4 - z. Let b(t) be the first derivative of -t**2 - 2*t - 4. Calculate b(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**3*l**(1\/11)*l**(-7)\/(l*(l*l**7)\/l)*(l*l**(-1)*l*l**(2\/11)\/l)\/(l**(-2)\/(l\/(l*l*l**(1\/5)))) assuming l is positive.\nAnswer: l**(-601\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 5*z - 1 = 0, -2*z = 3*b - 5*z + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9022*d**2 - 7171*d wrt d?\nAnswer: -18044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n + 19. Let u(g) = -246. Let x(v) = -49. Let s(z) = -u(z) + 5*x(z). What is -h(r) + 2*s(r)?\nAnswer: -r - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -38 + 42. Suppose -2*q + s = 2. Solve y = -4*b - q, 1 = 3*b - 3*y - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 217 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4539845383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 21401.784 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 18*o + 75 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * 9867598.\nAnswer: -3947039.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95*p = -139*p + 308. Solve -5*k + 2 = -y, -3*y - p*k + 2*k + 14 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 53*u**3 - 2*u**2 + u + 3. Let r be b(-3). Let d be 10\/(-5)*(-2 + 76\/8). Is r\/d - (-4)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 8384*k - 3558?\nAnswer: 8384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 33420 (b) 1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000389 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 5496237 to the power of 1\/2, to the nearest integer?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2*n**2 - 33*n + 28. Calculate d(-12).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -33650210*f**3*n**3 + 2825*f**2*n**3 - 3*f**2*n**2 - 3*f*n**3 - 296*f*n wrt f?\nAnswer: -201901260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 19, -5, -160, -11 in decreasing order.\nAnswer: 19, -5, -11, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -3*s + 4*s - 11 + 2*s. Let y be t(7). Let w(u) = -u**3 + 12*u**2 + 11*u - 17. Is w(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12 + (11 - 3) + -10 - 4) + 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 1222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m, 1 j, and 1 i when four letters picked without replacement from {i: 1, k: 9, x: 6, j: 1, m: 2}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence muu when three letters picked without replacement from umutttttmmuu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 7*m + 267 = -2*m, -5*m + 141 = p. What is the greatest common factor of 36 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 - 4*r**2 + 2*r - 3. Let u be i(4). Suppose -j = u*z - 231, 69 = 3*z - 3*j - 66. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l**4 - 4*l**4 + l**4 + 3*l**2 + l**4 - 3*l**2 + (0 + 0 + 2*l**2)*(3*l**2 + l**2 - 5*l**2))*(-8617*l - 40562*l - 8698*l + 6962*l).\nAnswer: 101830*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/269170 and 15\/88.\nAnswer: 1076680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -5414, -10815, -16194, -21545, -26862, -32139?\n\"Answer: b**3 + 5*b**2 - 5423*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 36637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be (6 - (-15)\/(-5))*-1. Let a be 47\/(18\/(-16) - 7\/(-7)). What is the hundreds digit of (8\/y)\/(1 - a\/(-372))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 - 17*i**2 + 2*i - 39. Suppose 1733*t - 119 = 1726*t. Calculate u(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -30336, -60355, -90060, -119451, -148528, -177291?\n\"Answer: 157*f**2 - 30490*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 532629 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 8 + (22910\/40 + -10)\/(-66) and 65\/303.\nAnswer: 26664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 + (-3 - (2 - -21)) + -5 + -2\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -7*k**2 + 215*k - 134. Give z(30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7452 is divided by 635?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 12*v**2 - 3*v - 3. Let q(p) = -5*p**2 + p + 2. Let a(y) = 5*q(y) + 2*r(y). Let i be a(-3). Let j(w) = -w**2 + w + 2. Give j(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 5, d: 4, i: 3, e: 1}. What is prob of picking 2 r, 1 e, and 1 i?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n - 26 = 10. Let g(a) = -a**3 + 7*a**2 - 5*a - 7. What is g(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1004651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73195446 is divided by 175?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*p = 222*p - 1613 + 6419 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 441211143 (base 5) to base 9.\nAnswer: 3512105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/4)\/(4375\/(-125)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 1386345.7 and -0.5.\nAnswer: 1386345.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00155987723 rounded to six decimal places?\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -10*t**2 + 6*t + 3. Let d(g) = -11*g**2 + 7*g + 4. Let b(l) = 4*d(l) - 5*s(l). Let c be b(1). Solve -c*z = -14 - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2 (b) 3 (c) -585 (d) 4 (e) -7 (f) 5 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6210293ml in litres?\nAnswer: 0.0006210293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of -245*a**3 - 2*a + 1271. Let d(l) = 2*l**2. Calculate f(d(v)).\nAnswer: -2940*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11.8 - -14.8. Let k = -0.07 + -0.03. Which is the closest to 0.1? (a) n (b) k (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 11:50 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 62.3 times 0.0295922\nAnswer: 1.84359406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -4*m + 14. Let q(v) = 10*v + 8*v**2 - v - m*v. What is q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 - 8*r - 12. Let o be t(-6). Let z = -0.141 - -1.141. Let q = z - -9. Which is the smallest value? (a) o (b) q (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 + 4*a**3 + (-4*a + 4*a + a**3)*(1 - 1 + 2) - 3*a**3 + 0*a**2 + 0*a**2 + (8*a**2 + 6*a**2 + 5*a**2)*(4*a - 2*a + 0*a) + 2*a**3 + 2*a**2 - 2*a**2.\nAnswer: 43*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-50)\/6*(-292)\/2847*-117.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2421 = 48*l - 2859. Suppose l - 35 = 15*w. Solve w*t = -3*d - 0*d - 40, 2*t + 25 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 323 a factor of 184433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-2)\/(-8)*(-664)\/12 and -53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*d**3 + 2*d + d**3 + 3*d**3 + (2*d - 3*d**2 - 2*d)*(4 - 3*d - 4).\nAnswer: 6*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -5 (b) -162 (c) 5 (d) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6799 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 + (-1)\/(2\/272) + -1. Is n\/(-24)*(-96)\/(-2) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(143)*-2*6 - (sqrt(143) + (sqrt(143) + 2*sqrt(143))*5)))\/((sqrt(22) - sqrt(352))\/sqrt(2) + 2*sqrt(176)).\nAnswer: -28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(121) - -6*(2*sqrt(121) + sqrt(121)))\/((2*sqrt(110))\/sqrt(10)).\nAnswer: 19*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:52 PM and 11:07 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 + 0)\/((-3)\/(-6)). Suppose -10 = a*h - 4*h. Is h at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 123200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -22\/9 (b) 0.3 (c) 1\/3 (d) -0.016\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 15304512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 8743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2.944 or -1\/654?\nAnswer: -1\/654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1 * -26.8\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4643 - 9523. Let k = -1477 - m. Let i = k + -1233. What is i rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the third derivative of 0 + 5*a**2 - 1\/24*a**4 + 0*a**3 + 0*a + 1\/30*a**6 + 0*a**5. What is the second derivative of i(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-6) - (-44)\/12. Let b be w*(-2)\/(64\/6). Put b, 0.3, 2\/7 in descending order.\nAnswer: 0.3, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (2 + (sqrt(448)*1 - sqrt(448)) - (sqrt(448) - -2*(0 + sqrt(448) + sqrt(448))**2)) + (-1*(sqrt(448) - (sqrt(448)*1 + sqrt(448)))*5)**2*-6.\nAnswer: -70784 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*i**2 - 2*i**2 - 4*i**2)*(-2*i + 2*i - 3*i) + (3 - 3 - 1)*(-1 + 2*i**3 + 1) - 2*i**3 + 4*i**3 - 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**3 + 4*y**2 - 12*y - 5. Let b be z(-5). Let k be (22\/b - 1)*(-45)\/54. Sort -5, k, -0.4 in decreasing order.\nAnswer: k, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1638044 (base 11) in base 7?\nAnswer: 32510234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 79965*m = 83363*m - 302422 for m.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 111 - 90. Suppose -2*v - 3*w + 72 = 0, -14*w = -17*w + 6. What is the least common multiple of m and v?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1284349063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*c**3*z**2 + 1684*c**3*z - 65*z**2 - 12 wrt c.\nAnswer: -6*c**2*z**2 + 5052*c**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*-8099.8621.\nAnswer: 32399.4484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 219 and 7519.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 0.5, -4, 0.05?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 46, -912, 11, -87 in decreasing order.\nAnswer: 46, 11, -87, -912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - i**4 + 0 + (-27*i**2 - 12*i**2 + 9*i**2)*(-3*i + 4*i - 3*i)*(3*i - 2*i - 2*i).\nAnswer: -61*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 v when three letters picked without replacement from fffuvufffgvvfffufgf.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -38*g - 108. Does 12 divide h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and (13 - (-2 + 6)) + 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -332310221 + -3?\nAnswer: -332310230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1733 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**4 + 3268*c**3 + 1338242*c**2 + 2666688*c + 1331712.\nAnswer: 2*(c + 1)**2*(c + 816)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 986, 1630, 2260, 2870, 3454, 4006, 4520?\n\"Answer: -q**3 - q**2 + 654*q + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -483*y - 258 = -1224. Solve 39*d + i + 8 = 37*d, -y*d = 2*i + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -2\/7975621?\nAnswer: -2\/7975621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, 0.551, 0.02, -0.1, -2, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 241 a factor of 2661604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the third derivative of -1\/120*m**5 - 5\/24*m**4 + 0 + 11\/12*m**3 - 9*m - m**2. Find d such that b(d) = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q + 477*m - 474*m = -26*q + 138, -5*q = -m - 26 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 22 = 3*r, 2*s + 0*s - 6 = r. Suppose 4*i = -s*b + 2404, 4*i = 5*b - 725 + 3093. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 7*n + 4*w = 4, -2*w + 7 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.7 + -2.98. Let j = 0.08 + g. What is j rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -50445 - -50448. Let m = 0.5 + 0.5. What is the closest to m in k, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2724, 2863, 3102, 3447, 3904?\n\"Answer: o**3 + 44*o**2 + 2679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 648453923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -141 (base 6) in base 13?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -11*l + 1. Let g be q(1). Let d = g + 24. Calculate the common denominator of ((-10)\/d)\/(18\/(-399)) and 109\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.0796 - 0.8796. Which is the third biggest value? (a) d (b) -4\/17 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*o, 4*c - 2*o - 172 - 1214 = 0. Is c less than 346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > 1\/51084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 36204 and 104843767?\nAnswer: 1258125204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of -y**6\/900 + y**5\/300 - 13*y**3\/6 + 5*y. Let g(u) be the second derivative of v(u). Suppose g(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 430*y + 55760. Determine c(-128).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26408 is divided by 76.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 4*m - 4. Let x be 16\/(-88) - (-224)\/22. Suppose 5*w - x + 0 = 0. Let n be a(w). Solve 4*j - 4 = n*s, 1 = s + j - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (64 - 53) + 0 + -13 - 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**2 + 10*o + 30. Let l be r(-10). What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 1)*(4*s + 3*s - 2*s).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 30 + 4 = 0. Let c = h - -7. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 112\/17*b - 2\/17*b**2 + 114\/17.\nAnswer: -2*(b - 57)*(b + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1179819?\nAnswer: 3, 37, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 0.4, 1.735, -2, 1, 3.\nAnswer: -2, -0.4, 0.4, 1, 1.735, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -15 (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -16, -44, -72, -100?\n\"Answer: -28*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 2 = 2*z, -2 = 5*z + m - 1. Suppose -7 - 5 = -2*n. What is the lowest common multiple of n and 12\/2*((-20)\/(-8) - z)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-172)\/22 - 6\/33. Let x = g + 12. Suppose x*u - a = 4*a - 145, -5*a = -2*u - 65. What is u rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/7 - 2\/7. Let u(m) be the third derivative of l + 1\/45*m**5 + 0*m + 0*m**3 + 1\/180*m**6 + 1\/36*m**4 + 3*m**2. Factor u(z).\nAnswer: 2*z*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001002 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 - 7*w**2 + 9*w + 2. Let s be i(5). Let o be 2\/(-5)*5\/s. Let g be (-12)\/(-9)*(2 - -1). Which is the closest to g? (a) o (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/5*r**3 - 52\/5*r**2 + 184\/5*r - 176\/5.\nAnswer: 2*(r - 22)*(r - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 14079 = -f, -k + 4*f - 1843 = -15928. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 122*n + 825. Does 63 divide l(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -49, -67, -89, -115?\n\"Answer: -2*w**2 - 12*w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 618135?\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 109770582 divided by -4\nAnswer: -54885291\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.0541*-0.16\nAnswer: 0.008656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 52, 90, 190, 382, 696, 1162, 1810?\nAnswer: 2670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -13 + 12510022?\nAnswer: 12510005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 6 + -12 + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**3 - 7*b**2 + 5. Let a(r) = -19*r - 45. Let s be 1 + -2 - (12 - 11). Let d be a(s). Give l(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -8 (b) 5 (c) 49 (d) 12.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -50770000 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 3*g**2 + 15*g + 15. Let o be (378\/819)\/((-4)\/(-130)). Suppose -3*t = -5*t + 24. Let z = -8 + t. Let w(u) = -u**2 - 4*u - 4. Give o*w(m) + z*q(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 11*y**3 - 7*y + 11. Let d be (16\/(-14))\/(4\/(-14)). Suppose -3*h - 16 + d = 0. Let g(t) = 5*t**3 - 3*t + 5. What is h*o(b) + 9*g(b)?\nAnswer: b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7439.\nAnswer: 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 3*p - 1. Let r be i(2). Suppose 73 = v - 3*l + 6*l, 4*v + r*l = 264. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in twenty-six fifths of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 30507081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*l + 2*l + 3*l)*(70*l + 72 - 72) to the form f*l**2 + z + b*l and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m = -6*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 22 - 1 - -494*(-61)\/(-1159)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 + 17 = 5*g. Let t = 15 + -1. Calculate the remainder when ((-3)\/g)\/((-1)\/(-1 - -213)) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 3:24 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(18) + 3*sqrt(1458)))\/(sqrt(1089)*4*-5 + sqrt(1089)).\nAnswer: -28*sqrt(2)\/209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 10125 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b**2 + b**3 + b**2)*(-157*b + 190*b - 467*b - 486*b).\nAnswer: -920*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of -5*i**4\/24 + i**3\/3 + i**2\/2 + i. Let d(q) be the first derivative of a(q). What is d(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**3 + 33*x**2 + 160*x - 73. Determine s(-27).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-40 - -1)*((-255)\/15 - 20104\/(-1176))?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of (22\/(-33))\/(4\/(-138))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-6)\/4)\/(10\/(-100)). Suppose s*q - 6 = 14*q. What is the derivative of 34 + 0*w**2 - q*w**2 + 16*w - 18*w wrt w?\nAnswer: -12*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3043991.0078 - 3043721. Let w = b - 270. Round w to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 7*u + 6 - 6. Is t(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 22, 1, -5, 26.\nAnswer: -5, -2, 1, 22, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 14081487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -3*b**3\/5 - 985023*b**2\/5 - 16154512101*b + 2735742089535 = 0.\nAnswer: -164255, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -6*k**2\/11 + 96*k + 7686\/11 = 0.\nAnswer: -7, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*k**5 - 366947*k**4*l - 880*k**2*l - 213*k**2 - 5*l wrt k?\nAnswer: 480*k**2 - 8806728*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 104626 (base 7) to base 14.\nAnswer: 6a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -417 + 631. Let l = s + -86. What are the prime factors of 5392\/l + 2\/(-16)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-6)\/8)\/(12750\/(-4240) + 3). Suppose -57*r + 59*r - t = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2459448944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 24060526*s**4 + 824*s - 1002 wrt s.\nAnswer: 288726312*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 11\/46, 3456, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/9? (a) 182.41 (b) 1 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 300125*o**4 - 1389150*o**3 + 1440845*o**2 + 385560*o + 23120 = 0. Calculate o.\nAnswer: -4\/35, 17\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - y**2)*(6638*y**2 + 20*y**3 - 6638*y**2).\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -46 - 2*b**2 + b**3 + b**4 - 2*b**4 + 3*b**4 + 42 to x*b**4 + y + n*b**3 + v*b + a*b**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 441305 to the power of 1\/2, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 54872320 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - -3. Let q(o) = -3*o**l - 146*o + o**2 + 146*o. Let j(s) = 18*s. Determine j(q(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3\/11 (b) -5 (c) 10.6 (d) 0.1 (e) -15 (f) 5 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -20 + 19. Let v = 1 - -1. What is the least common multiple of (2 - 4)*11\/y and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*o = 21*o + 21. Let d = 29 + o. Find the second derivative of -185*z**2 - 5*z - d*z**3 + 185*z**2 wrt z.\nAnswer: -132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 + 1 = -4*l. Suppose -2*f + 28 = 4*c, 1 = -4*f - l*c + 42. Suppose -2*a - 5*m = -f*a + 21, a - 21 = -m. What is the remainder when a is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2 - ((-14)\/(-8))\/(36\/(-48)). Let p = 1284 + -21826\/17. Sort d, 11, p.\nAnswer: p, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 PM and 5:48 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9269647 litres in millilitres?\nAnswer: 926.9647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2*g + 8 - 5 - 1 + 2*g**3 - 3 in the form z*g**2 + l + y*g**3 + q*g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 - -14. What is the remainder when l is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 186510.\nAnswer: 2, 3, 5, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 982, 1265, 1548, 1831?\nAnswer: 2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -2\/21, -4, -4\/3, 4\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -m - 2. Let l(j) be the third derivative of 1\/60*j**5 + 2*j**2 + 0*j + 0 + 1\/3*j**3 + 1\/4*j**4. What is l(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 402*i**2*x**5 - 1265*i**2*x**2 + 6*x**5 wrt x.\nAnswer: 24120*i**2*x**2 + 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of v**3\/3 - 7*v**2\/2 - 3*v + 1. Let m = -12 - -20. Let c be u(m). Solve c*h - 10 = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 w and 1 j when four letters picked without replacement from jjwwjjjjjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -215*t**3 - 12 + 37*t**2 - 16 - 81*t + 216*t**3. Is 43 a factor of q(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 19\/7, 3\/7, 3\/4, -330, 0.4?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**2\/13 - 12120*m\/13 - 565222\/13.\nAnswer: -2*(m + 47)*(m + 6013)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*a + 66*a + 3120*a**2 - 40*a + 15*a.\nAnswer: 3120*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -12 + 26. Suppose 2*i = 6*i - 32. Calculate the smallest common multiple of i and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 92, 395, 898, 1595, 2480, 3547, 4790?\n\"Answer: -g**3 + 106*g**2 - 8*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dqkfqkteqqttqeekfkte. What is prob of sequence de?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9166 - -9171. Solve i + 7 = -4*i + r, 3*i - r = -l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-131)\/(-262)*(-11)\/((-22)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from lllrrlrrrlrl.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pkpprprrrrr. Give prob of sequence ppkp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 4*(2 + -1*(sqrt(171) + 2 + -2) + (sqrt(171)*1 + 1 + sqrt(171) - (sqrt(171) + 0 + 3))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 64021012 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - 258\/567*9*(-6 + (-192)\/(-40)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + l = 26, -22*o + 4*l = -0*o + 146 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 + 338c?\nAnswer: 3389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 22*z - 20*z - 70*z to a*z + m and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = 4*n + 32, 4*n + s = -762 + 745 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*h + 12 = -37*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1965.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*k + 298*k = -86*k - 17716 + 3856 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the second derivative of -m**6\/30 + m**5\/20 + m**4\/12 - m**3\/6 + 79*m. Determine d, given that u(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 + 17 + 14 - 9 + 24*a.\nAnswer: 24*a + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**2 + 8*b + 24. Let x(l) = -l**2 - 8*l - 18. Let g(a) = -2*t(a) - 3*x(a). Let i = 15 - 20. What is g(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the second derivative of 2*k**3\/3 + 57*k**2 - 8*k. Let h(f) = -3*f - 76. Let c(u) = 7*h(u) + 5*x(u). List the prime factors of c(0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that 2*o**2\/13 + 10*o\/13 + 12\/13 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the third derivative of h**6\/120 + h**4\/24 + h**3\/6 + h**2. Is n(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3009427403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (((-54)\/(-10))\/(-9))\/(21\/(-105)). Let x(y) = 4*y + 4 - 4 - 3. Let s(z) = z**2 + z - 1. What is u*s(w) - x(w)?\nAnswer: 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -63\/256246 and 75\/192440746?\nAnswer: 192440746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 24 (base 11) in base 2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**3 - 6*k**2 - 9*k + 14. Let z be x(7). Suppose s - 7 = -2*y, z = 3*y + 9*s - 4*s - 21. Solve 5*f + 15 = y*c, 3*f + c + 28 = 6*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + -12 + 28 + (-9 - (-11 - -14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = -0*h - 6. Find the common denominator of 113\/20 and h + (-2)\/(96\/111).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3461*g = -3422*g - 195 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -14*w + 2. Let m(f) = 15*f + 1. Determine -2*k(h) - 3*m(h).\nAnswer: -17*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 40*s**3 - 3*s**2 - 14*s - 11. Determine v(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 39.16958 years to centuries.\nAnswer: 0.3916958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -9*17\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2*(-1)\/(-6)*0. Let a = -12 - -12.1. What is the nearest to -0.02 in m, -3, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1026093 divided by -110.\nAnswer: -1026093\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(2\/7))**(-2\/17))**(-20) assuming u is positive.\nAnswer: u**(80\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -38 - -42. Suppose o*w = -0*w + 420. Suppose 4*x - 3*d + w = 5*x, -x = -3*d - 93. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {z: 1, k: 8, x: 6}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/5 of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 3.999571 decades?\nAnswer: 0.3999571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*t - 3*t + 18 = -7*t, -16*g + 2487 = 265*g - 7*t for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -29225728 + 4?\nAnswer: -29225724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-140)\/112)\/((-8)\/(-64))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*y + 6*v - 4*v, 0 = 2*y - 5*v + 2. Let d(f) = f**3 + 8*f**2 + 6*f + 7. Let n be d(-7). Suppose -5*p + 6 = -n. Is p >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 18.67307 and -1630?\nAnswer: 1648.67307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 4*y - 42. Suppose q + 2 = -5*u + y, 3*q - 5 = 5*u. Suppose -3*f + f + u*r = -1782, -f - 2*r = -885. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -269403, -538759, -808117, -1077477, -1346839, -1616203?\nAnswer: -1885569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 5*n + 10 = 4*n, n - 5 = 0. Suppose -672 = d*m - 2062. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 12006*j**3*u**3 - 10119*j**3*u + 2*j**3 + 300*j**2*u + 6033*j*u + 3*u**3 + 6*u wrt j?\nAnswer: 72036*u**3 - 60714*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 - 11. Let j be h(-4). Suppose 0 = -0*z + j*z + 3*r - 28, -r = 4*z - 28. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 17*c**2 - c + 7. Let z(v) = v**2 - v - 2. Let u(b) = -r(b) - 6*z(b). Let j be u(-1). Is -23 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 6, u: 6}. Give prob of sequence du.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s = 8*s - 61. Let l = 130 - s. What is the remainder when l is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + ((sqrt(11) + 1)*-4 - 5*sqrt(33)\/sqrt(3)) + 1)**2.\nAnswer: 36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -7 - -5a044?\nAnswer: 5a039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6308781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum -2 and -249196910.\nAnswer: -249196912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -425636 and -366.\nAnswer: 155782776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -7*f**2. Let n be 1755\/78*4*1. Let u(s) = 90 - 3*s - 6*s - n. Determine u(p(d)).\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 555*j + 31634. Give b(-57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17330 - -17494. Let r be 4*(-26)\/(-8)*2. Let v = 59 - r. Calculate the remainder when b is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-5*(1 + (sqrt(612) + -1)*2) + ((sqrt(612) + 0)**2 + 2 - (5 + sqrt(612) + 0)) + -5).\nAnswer: -1218 + 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**3 - 8*q**2 + 7*q + 3. Let g be a(7). Suppose -g*h - 2 = -h, b - h = 43. What is the greatest common factor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - -13) + (-66 - -1 - -93).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7352189t in milligrams?\nAnswer: 735218900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16245 and 900?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8 - 5. Let f be (-20)\/15 - 1\/(-3). Which is the nearest to f? (a) 1 (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r + 25 = -3*x + 2, -4*x + 9*r = -79 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 1540650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2 < -160.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 4 + -1*sqrt(252).\nAnswer: -6*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 103 + 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*((m**(-2)\/m)\/m)\/m)**(-2\/45) assuming m is positive.\nAnswer: m**(8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-4)\/(-120)*3 + (-19074)\/(-60).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.032 + -0.568. Sort -0.1, -3, c, 2.\nAnswer: -3, c, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 304, 608, 912, 1216?\n\"Answer: 304*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 291 + 209 = 0. Suppose -2*b + 178 = f, 2*b + 3*f - a = 86. Calculate the remainder when b is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 27 - 28. Suppose 0 = -3*i + 3 - 3. Let g be (i + ((-28)\/(-12) - 2))*-15. What is the nearest to h in 4, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 511 + 717. Suppose 3*s - 921 = -6*n + 4*n, 0 = 4*s - 5*n - q. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 6, h: 4}. What is prob of picking 1 h and 3 p?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 + (0 - 27 - (537 + -571)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 32 = 68. Calculate the highest common divisor of 200 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6262616224 to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 113797798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15412*t**5 + 5353*t**2 + 2*t wrt t?\nAnswer: -924720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -87 - -71. Let h be (-24)\/(-72) - s\/6. Which is smaller: 7\/3 or h?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 641404 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3c873 - -267?\nAnswer: -3c60a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-117)\/1716)\/((-63)\/14*2\/48).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 64906*f**4 - f**2 + 83*f + 51?\nAnswer: 1557744*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 275, -155, 10, -3 in decreasing order.\nAnswer: 275, 10, 4, -3, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 301 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 704219.2 litres?\nAnswer: 704219200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjiijjiiiiij.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6704175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 726620 at least 726617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 1451*s + 3302 = -19173 - 66036 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express s**4 + 12*s**3 + 0*s + s**4 + 2*s - 1 + 3*s - s**2 + s in the form m*s**2 + b + q*s**4 + y*s + t*s**3 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(768) + (sqrt(588) - (sqrt(588) + 0)) + 0 + (sqrt(48) + 3 - sqrt(3)) + 1 + -4)**2.\nAnswer: 38*sqrt(3) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(38)*-2)\/(2*sqrt(32) - sqrt(32)).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/18 and 13\/194762868.\nAnswer: 584288604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04233 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/12*-1 + (-425)\/(-102). Suppose 2*z + 165980 = 5*u, 0 = -z + 4*z + h*u + 249016. What is z rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37.8 less than 19.43?\nAnswer: -18.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*s - 0. Let w = -2 - -5. What is the first derivative of s + 10*x**2 - 10*x**2 - x**w wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -401 divided by -2.\nAnswer: 401\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-40)*-3)\/(3\/72).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 222563645?\nAnswer: 5, 2767, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - -33. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that o**3 - 7542*o**2 + 2890079*o + 2897622 = 0.\nAnswer: -1, 406, 7137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 0*c**3 - 9*c**2 + 2 - 2*c**3 - 9*c + c**3. Let o(l) = l**2 + l - 2. What is the lowest common multiple of x(-8) and o(-5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 383, 1397, 3095, 5483, 8567?\n\"Answer: y**3 + 336*y**2 - y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/106824 and 73\/48.\nAnswer: 213648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**2 + n + 7. Let k be u(-3). Let s = 22 - k. Suppose s*q + 134 - 440 = 0. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-880)\/17160)\/(6\/(-26)))\/(-19).\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-5)*-3)\/(184\/1380)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -297*i = -291*i + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 + -120015785?\nAnswer: -120015785.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1468*v**2 - 733*v**2 + 3*v**3 - 729*v**2 - 2*v)*(1 - 14 - 27 - 15) to u*v**3 + c*v**2 + l*v + j and give l.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v - v + 0*v)*(0 + 0 + v) - 4*v**2 - 9*v**2 + 4*v**2 - 5*v**2 + 4*v**2 + 3*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.27 in 0.5, -5\/2, -4, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/5)\/(6\/(-30)). Is 20 a factor of -4*(-116)\/8 + l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2641043, -10564141, -23769289, -42256487, -66025735?\nAnswer: -95077033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 3*w**2 - 6665*w + 6665*w. Let b(k) be the third derivative of -13*k**4\/12 + k**3\/6 - 3*k**2 + 25. Determine o(b(j)).\nAnswer: 2028*j**2 - 156*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-343842)\/376*10\/(-804). Let y = -3\/3149 - d. What is the common denominator of y and 796\/(-180) - (170\/45 + -4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.6 + -2.6. Let j = w - -1.7. Let t = -0.8 - -1. Which is the nearest to -0.1? (a) j (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2304954 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.63 in 26385, -1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 10 (b) 141 (c) 4 (d) 0.3 (e) -7 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 12 = 4*j + 4, j - 2 = 2*n. Suppose 4*a - 12 = -5*l + 24, -3*a + 12 = 0. Let t be ((-6)\/(-15))\/(l\/(-6)). Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 3*l**2. Let h(j) = 29*j + 586314. Determine h(d(n)).\nAnswer: 87*n**2 + 586314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 87\/75482 and -13\/102930.\nAnswer: 1132230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*b**3 + 60385332 - 30192677 - 30192655.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -5*d. Let k(r) = 5*r - 4. Suppose 0 = 2*l + 5*x - 7, -2*l - 3*x = -7*x + 20. Let t(a) = 6*a - 5. Let s(q) = l*t(q) + 5*k(q). Calculate s(c(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -723 to the nearest ten.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1098 less than 292?\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*c**4 - 1800*c**3 + 5*c**2 + 56630929*c wrt c?\nAnswer: -120*c**2 - 10800*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 4, 0 = -5*x - r + 4 + 23. Suppose -2*w + 7*w + 330 = p, 5*p + x*w - 1590 = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 403? (a) 1\/5 (b) 1 (c) 4\/5 (d) 0 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 2*z - 7. Let k be d(6). Let u = -587 + 587. Suppose u = -3*s + k + 55. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 6*i = 4. Let f(q) = 50*q - 47. Let l be f(1). Put -10, l, i, 6 in increasing order.\nAnswer: -10, i, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 28*k**3 - 14*k**2 - 13*k + 97. Let u(y) = 7*y**3 - 4*y**2 - 4*y + 32. Determine 2*s(r) - 7*u(r).\nAnswer: 7*r**3 + 2*r - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -114902 equal to -114901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-66 + 65)*(2\/(-2) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = h, 12 = -2765*q + 2763*q - h - 9 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 470 = -3*w - 4*v, 60 = -2*w - 3*v - 252. Let n = -250 - w. Which is smaller: -89 or n?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-3\/16))\/o**19*o**0*o*o**(-2\/39))**(-5\/6) assuming o is positive.\nAnswer: o**(53785\/3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4106022331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be -8*(16492\/16)\/(-7). Suppose -11*m + l = -1264. What are the prime factors of m?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11679065743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q - 11 + 19 = -2*t, -5*t + 3*q - 7 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1422 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -32379, -256475, -864729, -2049219, -4002023, -6915219?\n\"Answer: -32013*b**3 - b**2 - 2*b - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, o: 1, v: 2, r: 3}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/37)\/u)\/u**(-9) assuming u is positive.\nAnswer: u**(298\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -61406643*h**3 - 17785422*h**2.\nAnswer: -368439858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve n + 1835 = -5*c + 1807, 15*n - 24 = 18*n + 5*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -1\/6 + 1\/6*y**2 - 1\/6*y**3 + 1\/6*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 31289719*y**4 + y**3 - 636358*y + 5 wrt y?\nAnswer: 375476628*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13448074.\nAnswer: 2, 6724037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8649\/(-1457) - -94 - 88?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m = -8*m + 164. Let b = 142 - m. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 7*w - 2*w**3 + 5*w**3 - 12 - 12*w**2 - 2*w**3. Let h be x(12). Let q = 161 - h. List the prime factors of q.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gnvwbbnz. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 400 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 129*r = 115*r + 25 - 95 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u + 11. Let t be x(-19). Suppose -66 = -t*a + 19*a. Put 3, -1\/6, a in increasing order.\nAnswer: -1\/6, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -24*x - 28 + 100. Let w(z) = z + 3. Let i(t) = 5*t + 14. Let y(b) = 2*i(b) - 11*w(b). Let a(h) = 2. What is x*y(r) + 8*a(r)?\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, m: 9, n: 9}. What is prob of sequence mmn?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*q - 51*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(17) + sqrt(153)*-2 - sqrt(17)) + 5 + -3*sqrt(17))**2 - (-1*(-3 + sqrt(17) - sqrt(17)) - sqrt(34)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: -84*sqrt(17) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1311\/92 - (-45)\/(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and 1362.\nAnswer: 408.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*i - 2. Suppose i*n - 18 = -26. Let x be (n - -3)\/(5 - 2). Is x at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -35? (a) -2 (b) -4302\/7 (c) -0.2 (d) -3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10 + -6 + (-6)\/(126\/(-231)))\/(-4 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/1642 and (-4520)\/(-240) + 1 + 2?\nAnswer: 4926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i + 2*k + 37 + 36, 5*i + 4*k + 123 = 0. Which is smaller: -55 or i?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -2*j + 3*u, -3*j - u + 389 = 385 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(6\/7)\/(j*j**(1\/10)) assuming j is positive.\nAnswer: j**(-17\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -23*s - 27*s + 100 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5\/18318941 + 111177634429\/67780081700. Let o = 9\/925 + n. Find the common denominator of 1\/3 - (-179)\/(-96) and o.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 297 divide 99792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 3565773 (base 9) to base 2.\nAnswer: 111010111111110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -878 + 53555\/61. Let u = t - 43\/366. Let h = -0.041 - 0.959. Which is the second smallest value? (a) u (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide 5058940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 480.1471s in milliseconds?\nAnswer: 480147.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - -1. Suppose -k*r - 2 = -5*r + 2*l, -5*l = 5*r - 10. Let f = -56 + 57. Solve q + f = -r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, -25, -577, 2\/13?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 252 minutes before 11:03 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 27 - 23. Suppose -r*m + 20 = 0, 3*i - m - m = 275. What are the prime factors of i?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - -414a6?\nAnswer: 414ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -2*r + 1 + r**3 + 2*r + (106*r**2 + 2*r**2 + 40*r**2)*(3*r + r - 6*r) as z*r**3 + s + c*r + h*r**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -3*d. Let l(a) be the third derivative of -a**4\/24 - 6*a**2. What is k(l(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/46 and -36 - (60\/8)\/(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (-19 - (-11 - -6) - (-1 - 6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -8 (b) 1\/2 (c) 4 (d) -2\/9 (e) -2\/3 (f) -7 (g) 604\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -187*d**4 - d - 4 wrt d?\nAnswer: -748*d**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -4*c**3 + 2*c**2 + 3*c + 1. Let a be u(-2). Suppose 0 = -2*q - 0*q + 8. Suppose -q*b + a = b. What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -z**2 + 15573244*z - 31505537 wrt z?\nAnswer: -2*z + 15573244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3570 and 115260.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 21885841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6258, -12469, -18676, -24879?\nAnswer: -31078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 25 (b) 5 (c) -0.3 (d) 0.2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56*v - 107*v - 3095 - 7*v**3 + 51*v - 4432.\nAnswer: -7*v**3 - 7527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 22 = -4*b. Suppose -4*a - 2 = k - 0*k, 0 = -4*k + 3*a + b. Suppose 0*h**k + 1\/3*h**3 - 1\/3*h + 0 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**45\/o**(1\/24) assuming o is positive.\nAnswer: o**(1079\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*p*r**3 + 985*p*r**2 - p*r + 55*p + 3*r**4 + 4*r**2 - 34*r - 2 wrt r.\nAnswer: -12*p*r + 1970*p + 36*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**3 - m**2 - m. Let k(a) = 6*a**3 - 5*a**2 - 5*a. Calculate -6*k(b) + 30*r(b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-73 - 154 + 70)*(-35*c**3 + 35*c**3 - 9*c**4 - c**4 + 2 - 2 + (-c**2 - 3 + 3)*(2*c**2 + 2*c - 2*c)).\nAnswer: 1884*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 162*a**2 - 2551*a + 8472. Determine q(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from uuqeefeuqfuefue?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**2 - 9*u + 20. Let z be p(10). What is the hundreds digit of -3 + 305*-9*(-4)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r be (42\/63)\/(14\/6 + -2). Suppose -5*n + 3 = 4*o - 0*o, -1 = r*o + 5*n. Which is the biggest value? (a) 1 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - 3) + 17 - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.9063 + 0.911. What is t rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that 3*i**3 - 19849821*i**2 + 32834606219424*i + 32834626069248 = 0.\nAnswer: -1, 3308304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**2. Suppose -i - 20 = 4*i. Let m(r) = -7*r**2 - 4. Let p(w) = 55*w**2 + 33. Let v(z) = i*p(z) - 33*m(z). Give v(j(c)).\nAnswer: 11*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -22 (base 13) in base 16?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z + 3*h + 2, 0*z = -2*z - h - 8. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 2\/7 (c) 15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes before 11:45 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 135318?\nAnswer: 2, 3, 19, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes before 7:59 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**3 - 6*r**2 + 112*r + 82. Let c be t(-14). Solve -12*a - c = -178 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the first derivative of x**4\/4 + x**3\/3 + 3*x**2\/2 + 2*x + 2. Suppose 4*n + 2 = 3*n. Give l(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c. Let b(j) be the third derivative of j**4\/24 + 11*j**3\/3 - 75*j**2 - 3. Give b(a(v)).\nAnswer: v + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5216 - -31421\/6. Let k = -18033\/16 + 4531\/4. Calculate the common denominator of k and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:27 PM and 2:45 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 147073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 609*a + 23722 = 1427*a for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 150 divide 3147900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.27 - 0.33. Let t = m - -2.6. Let i = t + 1.1. What is the second biggest value in i, -1, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 143, 4, -4, -2\/13, 0.5?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 82, -2\/7, 2\/21, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -2*u - 23. Give o(10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ltlvt. What is prob of sequence ll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 + -380?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 2149.7 and 539.\nAnswer: 1158688.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**2 - 20*s + 29. Determine m(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*a + 55*a = -s - 7950, -6360 = -4*a + s. Calculate the highest common divisor of a and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/9 of a day in minutes?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 145 = 5. Let c be (-27)\/(-4)*(-1 - d\/36). Which is greater: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 2 k, and 1 j when four letters picked without replacement from dgkdcji?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -1517 by -1.\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1556.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 436240393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 63215 and 33905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 452516 is divided by 32322.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5129 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 170, 168, 164, 158?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -2 (b) 3\/13 (c) 9060\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the third derivative of -q**4\/8 + 5*q**3\/6 - 3*q**2. Differentiate j(z) with respect to z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*s - 30*s**2 + 25*s**2 + 7*s**2 in the form d*s**2 + y*s + q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = 123 + -119. Suppose -t*j + 12 = -5*n, -5*j - n = 29 - 15. Let p(m) = 2*m. Calculate p(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -4.36 times -0.01\nAnswer: 0.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + w = -1417, -5*b + 4*w - 1442 = -6*b. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 48966.6629 to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 73521020 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 4808730, 9617462, 14426194?\n\"Answer: 4808732*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -15*z**5\/4 + 10749*z**4\/4 + 1333437*z**3\/4 - 4924101*z**2\/4 + 966789*z\/2 + 411588 = 0. What is z?\nAnswer: -111, -2\/5, 1, 3, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -6*d**3 + 2189*d**2 + 401*d - 13171. Determine a(365).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 45*k**3\/4 + 49*k**2\/4 + k = 0.\nAnswer: -1, -4\/45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the third derivative of z**6\/120 - 4*z**5\/15 - 13*z**4\/24 + 13*z**3\/6 + 10*z**2 - 24. Determine h(17).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.531745 centuries in months?\nAnswer: 638.094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 142\/(53\/(-17) - -3). Let z = 4705 + t. Suppose -4*h + z = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -5*h**3 + h + 1. Let g = -5 + 8. Let i = -4 + g. List the prime factors of y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2.908 + -1.908. Sort -5\/6, 9\/4, -1, l, -0.07 in descending order.\nAnswer: 9\/4, l, -0.07, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 2*c**2 + 80819*c + 1534838. Calculate t(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15)\/7 + 2 + (109 - 45030\/399)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1017999372 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -34 bigger than 348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -20 - 1 - (-19 + 8 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 7, l: 1, n: 2, u: 1, y: 3}. What is prob of sequence ul?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 + -147704?\nAnswer: -147706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 - 7 - 1)*((2*v + v - v)*(-1 - 3 + 3) + 3*v + 0*v - 4*v) to s*v + u and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 + 7. Let n(m) = -5*m + 6. Let a = 9 - 7. Let l(b) = -6*b + 5 - b + a*b + b. What is j*n(v) - 4*l(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1407253945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*a**4 - 36*a**5 + 25597 - 2*a**4 - 25587 + (2*a**3 - 2*a**2 + 2*a**2)*(3*a - 3*a + a**2).\nAnswer: -34*a**5 - 2*a**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -399.257 (c) -1.197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0085337119 rounded to six dps?\nAnswer: -0.008534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.2 - -0.1. Let f = -580 + 1193\/2. Let a = 17 - f. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/63, 2\/5, 3\/10, 1\/8, 0.5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-20)\/(c**(-3)*c))**(-18\/11) assuming c is positive.\nAnswer: c**(324\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 631639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 486*i**2 + 96*i - 22973.\nAnswer: 972*i + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.1 + -0.2. Let g = 450985.8 - 450986. What is the closest to 1\/11 in u, 1\/4, -3, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 7 - 5 = 0. What is the derivative of -5 + 1 - 3*j**m + 3 wrt j?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/332875 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 + -1. Suppose 2*q - 3*q = 0. Suppose 0 = -q*g - g + h. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 88, 117, 142, 163, 180, 193, 202?\n\"Answer: -2*v**2 + 35*v + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be -4 + 6 - (-9580)\/492. Let v = 90\/41 + x. Let h = 24 - v. What is the closest to h in 2, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, -2, -5\/7, 3\/311693?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 116258*v - 18*v**2 - 116258*v.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s**1*s))**(-42))**(16\/7) assuming s is positive.\nAnswer: s**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*2*3*sqrt(567) - (-4*-2*sqrt(567) + 1))**2.\nAnswer: 684*sqrt(7) + 818749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7\/6? (a) 0.2 (b) -3 (c) -16 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 33*z**2 - 31. Let j(b) = -b**2. Let s(m) = 5*j(m) + v(m). Differentiate s(p) wrt p.\nAnswer: 56*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 7\/(((-12)\/(-3))\/4). Let z(u) = u**2 + 2*u - 3. Let q be z(-5). Let s = q - a. What is the highest common factor of 55 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -332*g**2 - 368*g**4 - 267*g**3 + 138*g**3 + 131*g**3 wrt g.\nAnswer: -8832*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*(d*d*(((d**(2\/7)\/d)\/d*d)\/d)\/d)\/d)**(6\/7)\/(d*d**4)**(2\/47) assuming d is positive.\nAnswer: d**(-1900\/2303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -164, -309, -454, -599, -744?\n\"Answer: -145*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -117*d + 37. Let y be o(12). What is y rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (60*y - 17*y - 25*y)*(2 + y**2 - 4 + 0) to the form j*y**3 + a + x*y**2 + b*y and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) 0.51 (b) 1\/2 (c) 0.03 (d) -38 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**2 - 13*h + 1. Let o be i(14). Suppose -5*s = -2*s + o. Is 10 a factor of 284\/28 + s\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 24*k**2 + 4*k + 1. Let b(r) = 65*r**2 - 3. What is g(b(n))?\nAnswer: 101400*n**4 - 9100*n**2 + 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/g**(-1\/7)*g*g**(-2\/23))**(-10) assuming g is positive.\nAnswer: g**(-4920\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -316 - -256. Let m = 205 - c. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (19 + -19)*(-3)\/3. Is 12\/95 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -109938 or -109688?\nAnswer: -109688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 + -7bb9?\nAnswer: -7bbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 50989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the third derivative of d**2 + 0*d**3 + 2\/105*d**7 + 0 + 0*d**5 - 1\/8*d**4 + 0*d**6 + 0*d. What is the second derivative of a(f) wrt f?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -4*j - 5*q, -q - 15 = -4*j + 45. Calculate the lowest common multiple of 2 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, c: 1, i: 2, j: 1, s: 1, t: 1}. Give prob of sequence iij.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1)\/(27\/12))\/((-2)\/18). Differentiate 0*a**2 - 175 - 108*a**z - 6*a**2 - 106*a**4 + 6*a**2 with respect to a.\nAnswer: -856*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 623133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 633445 (base 7) in base 12?\nAnswer: 53307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 69705390 to the nearest one million.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 674 - 79*f - 77*f - 77*f - 80*f + 314*f.\nAnswer: f + 674","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.576 from -275.6081935.\nAnswer: -276.1841935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**2 - 8*p + 3. Let i be r(-8). Solve 3*f**4 + 3*f**4 - 2*f**5 - 14*f**i + 12*f**3 - 2*f**4 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, 386.2, -8 in ascending order.\nAnswer: -8, 0.5, 386.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 3, i: 10, s: 2}. What is prob of sequence tis?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -316591 - -0.4.\nAnswer: -316590.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16)\/(-32)*((1 - 0) + -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*t + 312953 + 324938 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -120 - -210. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 225*1 - 10\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 30*v - 52*v - 198 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 4*o - 11, 0 = -4*g - 0*g - 3*o + 17. What is the second smallest value in 1, g, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15116 less than 0.546012187?\nAnswer: -15115.453987813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1612 - 2055.5. Let o = 444 + j. Let d = -2 + -2. What is the third biggest value in d, 0.1, 3\/7, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29400 is divided by 70.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 59 - 63. Let v be x\/(-6) - (-4)\/3. Find the third derivative of 131*a**4 - 7*a**2 - 129*a**4 - 10*a**v wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a**(4\/17)*a*a)\/a*a*a*a*a**(7\/8))**(-7))**(-44) assuming a is positive.\nAnswer: a**(53515\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the third derivative of -13*k**4\/24 + 3*k**3 + 36*k**2 + 26*k. What is t(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*k + 2*b, 4*k + 4*b = 3*k - 11. Let i(r) = 2*r**2 - r. Give i(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -1. Let s(o) = -o - 1. Let n(y) = -2*d(y) - 3*s(y). Let f(p) = -p - 1. Determine -2*f(a) - n(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -10*n**3. Let x be b(-1). Suppose -5*j - 360 = -x*j. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -480 + 480.0426. What is a rounded to three decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.042 - 462840\nAnswer: -462840.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5986, -6375, -6950, -7651, -8418, -9191, -9910?\nAnswer: -10515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-1) + (5148\/165)\/(-13). Let l = -5.6 + 6. Let t = l + -1. Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 199\/1050 and 119\/444.\nAnswer: 77700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111111 - 1001000?\nAnswer: -10000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 - -3. Solve 0 = -3*g + 3, -4*n - 7 = s*g + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**2 + 6*u + 8. Let h = 4 + 2. Let f be l(h). What is the greatest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s + s - 12. Suppose 3*l + s*p - 8 = 20, 2*l + 4 = 3*p. Let o(d) = -2*d + 6. Determine o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the third derivative of 1\/840*n**6 + 10\/21*n**3 + 1\/420*n**5 + 129 - 2\/21*n**4 + 0*n - n**2. Factor t(y).\nAnswer: (y - 2)**2*(y + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(1\/4)\/(r\/r**(-12))*(r*(r\/((r**(-6)*r)\/r))\/r)**41 assuming r is positive.\nAnswer: r**(1097\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 3*d - 1, -3*d = -2*l + 55 - 17. Suppose -17*b = -l*b - 20. Let m be 12\/21 - 1 - 340\/(-140). What is the highest common factor of b and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -11511 + -41?\nAnswer: -11552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*p + 17 = -11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*t - 51*t = 779 + 224 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -31 and 4.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h + 15 = -3*h. Suppose h*l = 20, -6 = 2*w + 5*l - 372. Does 44 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the second derivative of l**4\/3 + 2*l**3\/3 + 12*l - 7. Determine c, given that g(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -223*g - 11. Let f(r) = -3120*r - 155. Let j(w) = 85*d(w) - 6*f(w). Let k be j(-3). Suppose 0 = 13*u - 20*u + k. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 3 + 33 = 0. Let h = p - -23. What is the derivative of -5*d**4 + h - 8*d**2 - d**2 + 9*d**2 wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6555 divided by -3.\nAnswer: -2185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the third derivative of v**5\/20 - 177*v**4\/4 - 7091*v**2. Factor u(p).\nAnswer: 3*p*(p - 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*j + 82581 = 15*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(35)\/(sqrt(7) - sqrt(7)*-2) + sqrt(405) + 3)**2.\nAnswer: -8002\/3 - 336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.033 + 0.054?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2443973, -2443971, -2443969, -2443967?\n\"Answer: 2*t - 2443975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((3 - (-168)\/(-18)) + 5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -20 and -0.831.\nAnswer: 16.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 3e (base 16) to base 13.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-80)\/(-12) + 10\/(-15). Let i be (0 + 2)\/(65\/10 - a). Factor 8\/3*q - i*q**2 + 0.\nAnswer: -4*q*(3*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 41*l - 49*l**3 + 44*l - 77*l in the form a*l + v*l**2 + p*l**3 + r and give p.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 77 and 896.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 - -4. Suppose -7 - 3 = h + 4*c, 4*c - 10 = -f*h. Let g be -3*((-2)\/2 + -2). Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -x - x**5 + x + (7*x**4 - 3*x**4 - x**4)*(13*x + x - 23*x).\nAnswer: -28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 3*k + k - 64, 30 = 2*l + 4*k. Let f(j) = -26*j - j**2 + l*j - 9 + 8*j. Determine f(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 13054, -9, 0, -8, 3 in increasing order.\nAnswer: -9, -8, 0, 3, 5, 13054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5246745 and 1499070.\nAnswer: 10493490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(1*(sqrt(132) + (-2*sqrt(132) - sqrt(132))) + sqrt(132) + -4*(2*sqrt(132) + sqrt(132))))\/(-4*sqrt(12)*3 - (sqrt(972) - -3*sqrt(972))).\nAnswer: 13*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2.1 + 39494?\nAnswer: 39496.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 87893 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -58335*d**2*g - 1052*d**2*v + 4286*d*g*v - 1301*d*g + d*v wrt d.\nAnswer: -116670*g - 2104*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (-3*sqrt(396)*-2*-2 - 6*(-5 + 3*sqrt(396))))**2.\nAnswer: -9000*sqrt(11) + 357025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the second derivative of 5*i**3\/6 + 3*i**2\/2 - i. Let d(h) = 38 + 32 + 41 + 25 - 169 + 32. Calculate -4*d(t) - o(t).\nAnswer: -5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38 is divided by (-4)\/(-7) - 528\/(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 163689787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the second derivative of t**4\/6 - 3*t**3\/2 + 25*t**2 - 2*t + 5. What are the prime factors of y(-13)?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2203 + 2192. Put -1, -8, 1, -5, p in increasing order.\nAnswer: p, -8, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 51\/4 of a gram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (47\/(141\/6))\/(4\/10). Solve 3*s + n + 4*n = 25, -x*s = -3*n + 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i - 5*y + 21 = 0, 26*i - 2*y = 31*i - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 3*t = 0. Suppose -8 = -t*m + m. Let o = m + 19. Solve 2*l - 4*l - o = n, 4*n - 4 = 4*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.8057 rounded to 1 decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13971 + 13991 = 5*k. Solve 19*t - k*t = 90 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -258086 (base 14) in base 3?\nAnswer: -2102112021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.06 - -0.24. Let u = k - 0.8. Sort u, 3, 0 in descending order.\nAnswer: 3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:31 AM and 4:43 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 1333*y - 9337. Give c(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from ggllgg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/17 (b) -20 (c) 0.1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/57, 11, -1, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be -12*(3 - 0)\/(-9). Find the first derivative of 3 - 9 - 9*j**t - 3 wrt j.\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/1)\/(-6)*9\/(-27)*-51?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((1287\/572)\/(27\/6))\/((-2)\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is p in 8*p**5 + 4*p**4 - 28*p**3 - 28*p**2 + 4*p + 8 = 0?\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -21, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 400 and 200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*d**(-2\/41)\/d)**(-10)\/((d**3*d)\/d**(1\/39)))**(-46) assuming d is positive.\nAnswer: d**(991990\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 151*i. Let y(n) = -72*n. Calculate b(y(w)).\nAnswer: -10872*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 106 - -3?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yniillnynll. Give prob of sequence nn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*q + 20*q - 4*q - 2*q - 13*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**2)**39\/(c*c*c\/(c*c**(-2\/3)*c*c)*c)**(-47))\/((c\/c**1)**23\/((c\/(c*c**(1\/4)))\/c*c**(3\/5)\/c)) assuming c is positive.\nAnswer: c**(9281\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*b + 61 + 13309*b**2 + 2*b**4 - 13309*b**2 + (-b + 2*b**3 + b)*(b + b - b) - 5*b**4 + 3*b**4 + 4*b**4.\nAnswer: 6*b**4 - 3*b + 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange u**4 + 6*u**4 - u**4 + (-u + u**4 + u)*(-3 - 5 + 3) to the form p + x*u + r*u**2 + s*u**3 + w*u**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 103*r + 2049. Give u(-19).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.93 + -0.07. Let p = h - -2.5. Put 2\/17, p, -0.3 in descending order.\nAnswer: 2\/17, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -w**2 + 681*w + 902 wrt w.\nAnswer: -2*w + 681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2508*c**3*k**2 - 36*c**3*k*r + c**3*r + 4*c*k**2*r - 91*c*r wrt k?\nAnswer: -5016*c**3 + 8*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the first derivative of 4*q**2 - q**2 - 1 - 1 - q**2. Let a(s) = -2*s + 2*s + s**2 + 0*s. What is a(b(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 73 - 74. Let b be (-2)\/2*-4 - (n + 3). Solve r - 1 = -b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 19 - 14 - 13 - -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -288, -238, -174, -90, 20?\n\"Answer: m**3 + m**2 + 40*m - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 63*l + 208 - 82*l - 118*l.\nAnswer: -137*l + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 120577800649131 - 120577657584003.000171. Let d = v - 143064934. Let l = d - 194. Round l to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51a (base 12) in base 5?\nAnswer: 10432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 1 (b) 0.44 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 9*k**2 + 2 - 11*k**2 + 0 + 14*k**2 in the form x + y*k + u*k**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -223550, -447095, -670640, -894185?\n\"Answer: -223545*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 12 + -10. Solve -d*u + 10 = 0, -m - 5*u + 34 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n, 1 z, and 1 r when four letters picked without replacement from rnnnazzaaan?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(-4) + (-638)\/(-4) + -1. Suppose -3*z + 6*z - 4*u + b = 0, -4*z - 4*u = 220. Let o be ((12\/(-2))\/z)\/(2\/138). Which is greater: o or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:00 PM and 11:35 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2)*d*d)\/((d**(-5)*d)\/d)*d*d**2*d*d\/(d\/(d\/(d*(d\/d**6)\/d))*d)*(d**(-2)\/(d\/d**4))\/((d**(-4)*d)\/(d*d*d*d**(1\/5)*d)) assuming d is positive.\nAnswer: d**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -15*x**2 + 2*x - 2. Let c be g(2). Let m = 360653 + -360656. Sort m, c, -5 in ascending order.\nAnswer: c, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.99 + -4.54. Let x = f + 0.4748. What is x rounded to three dps?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 3, t: 8}. Give prob of picking 2 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(162) + sqrt(162)*4 + sqrt(162)).\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3 - 4870*z**2 + 3536750*z - 658706250.\nAnswer: 2*(z - 1075)**2*(z - 285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -9829 times 204?\nAnswer: -2005116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m + 11. Let s(d) = -2*d**2 - 17*d - 6. Let o be s(-13). Let n = o + 203. Let a = -70 + n. What is x(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 167989966.\nAnswer: 2, 53, 1584811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be (9\/(-6))\/((-9)\/(-42)). Let g = n - -15. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 576 + -894. Let j = -321 - u. Put 0.2, -0.1, j, 1\/44 in descending order.\nAnswer: 0.2, 1\/44, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -13 + 8. Let v(y) be the second derivative of -y**5\/20 - 5*y**4\/12 + 530*y - 2. Determine v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*h + 5*h + 10*h)*(-3 - 1 + 2 - 3 + 4 + 6 + (-1 - 2 + 1)*(-5 + 2 + 5))*(2 - 1 - 2) in the form y + o*h and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 144 = 6*n - 2*n. Let k(w) be the third derivative of w**5\/60 + 3*w**4\/4 - 14*w**3\/3 - 30*w**2. Calculate the least common multiple of n and k(-20).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 + -226073.\nAnswer: -226070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -1\/3 (c) 0.39304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-40)\/50 + (-47)\/(-15) + -3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 29 = 5*z, 298 = 14*z + 2*p + 376 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3, 24, 65, 132, 231, 368, 549?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d**2 - 1 + 1 + (-3 + 3 + d)*(4*d + 0*d - 3*d) + 8682*d + 8688*d - 17359*d - 8*d**2 - 20.\nAnswer: -9*d**2 + 11*d - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -736 (base 12) in base 6?\nAnswer: -4510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7\/4 in -2\/9, 1\/2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 803*p - 201?\nAnswer: 803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 2 = 1. Suppose j*a = 5*w, -5*a - 2*w - 3*w + 40 = 0. Let v(x) = 7*x - 2*x - 8*x + a*x. Let u(y) = 2*y**2. What is u(v(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2305*z**4 - 948*z wrt z?\nAnswer: 27660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-13365)\/(-770))\/81)\/(((-6)\/8)\/3).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-85*r**2 + 3*r**2 + 15*r**2)*(-3*r**2 + 7*r - 2*r - 4*r).\nAnswer: 201*r**4 - 67*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sum -6596 and 51.484.\nAnswer: -6544.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/13 in -2\/15, 13, -2\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11 - -1. Let p = j - 10. Which is the nearest to p? (a) -0.2 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 2*x**2 + 50*x + 47. Let f be u(-24). Is 266 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-208)\/12)\/((-2)\/(-48)*-2). Suppose -2*a - 3*r + y = 0, -6*a - 3*r + 416 = -2*a. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -8*h + 254. Let n(t) = 5*t - 3. Calculate the least common multiple of v(29) and n(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -31873, -8\/11, 0.01.\nAnswer: -31873, -3, -8\/11, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**3 + 77*f**2 - 1180*f - 351. Give k(56).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 19, -38, -127, -242, -377, -526?\n\"Answer: s**3 - 22*s**2 + 2*s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 + 12*i**2 + 75*i + 666. What is b(-11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + -1.53. Let g = -0.57 + w. Let u = 193\/12 + -16. Which is the nearest to -3? (a) -3 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/8, 8\/5, 1.39, -0.2 in ascending order.\nAnswer: -0.2, 1\/8, 1.39, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/3 + (-215)\/(-3). Let r be -3 + 3 + (-18)\/(-1). Let k = -9 + r. Calculate the highest common divisor of z and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17 - -12. Let z = 2.1 - 2.1. What is the nearest to -2 in b, 2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-2*(-1 + 2 + sqrt(468)*1*-2)*3)**2.\nAnswer: -13824*sqrt(13) + 1078848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 70485*y**2 - 182 - 70469*y**2 + 182.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 16673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8142*v + 905*v**5 + 298*v**5 + 9*v**5 + 1838*v**5 - 75*v**5 wrt v.\nAnswer: 59500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -2*f**2 + 246*f + 1282. Let k be u(-5). Solve 0 = t - 3*z + 3, -6*t - k*z = -t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/18)\/((-14)\/42)*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -18 minus -54076898?\nAnswer: 54076880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1218, 1551, 1864, 2151, 2406, 2623?\n\"Answer: -m**3 - 4*m**2 + 352*m + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -i + 2*o - 16, 0 = -2*i - o - 12. Let s be 5\/(-2)*(i - -3). Suppose 17 = 6*p + s. Solve 6*r + 2 = p*r - 2*q, 4*r = -5*q - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-3) - 2\/(-3). Solve -c*a = -9 + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 249595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 2*v. Let a(l) = 2*l + 3. Let b(x) = x + 1. Let p = 15 - 21. Let y(h) = p*b(h) + 2*a(h). What is y(o(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 37436 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -2*c + 84, g + 5*c - 58 = -0*g. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i + 10, -2*v + 12 = 2*i + 42. Let k(p) = 16*p**2 + 18*p + 10. Let a(h) = -5*h**2 - 6*h - 3. Give v*a(l) - 3*k(l).\nAnswer: 2*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 1454*m**2 + m - 1. Let a be p(1). Let g = a + -823. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -35237 + 72940. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that 622*l**2\/7 + 109495026*l\/7 + 2112444\/7 = 0.\nAnswer: -176037, -6\/311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the third derivative of 49*n**6\/120 - n**5\/12 + n**4\/3 - 2*n**3\/3 - 224*n**2. What is the remainder when j(1) is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -5*m + 4*m. Which is the second biggest value? (a) -0.3 (b) m (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 483*q + 228670 - 228670 + (6 - 2 - 3)*(-4*q - 2*q + 2*q) + 0 + 0 - q.\nAnswer: 478*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 265494 is divided by 501.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23439?\nAnswer: 3, 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be 9\/(1 + 2) + -1. Solve 5*u - 2 = 2*v, -g*u - 3 - 5 = -3*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 687 minutes after 3:15 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -2*r**2 - 52*r - 324. What is u(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -70, -2, 1 in decreasing order.\nAnswer: 1, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 11*t**2 - 3*t - 10. Is b(-2) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1670 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(1216) - 6*sqrt(1216)*3) + -5)**2 + (-1 + sqrt(1216)*1 - -2*(-1 + sqrt(1216))**2)*5.\nAnswer: 3960*sqrt(19) + 3175006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 10:58 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (931\/(-21))\/((-10)\/((-750)\/(-175)))*1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y**2 - 1155 + 6*y**2 + 1236.\nAnswer: 4*y**2 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/24)\/(8\/36). Put k, 2\/7, 5, -3 in decreasing order.\nAnswer: 5, 2\/7, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*z - 20*z + 350 = 2*j, 335 = 4*z + 5*j. Suppose x - 29 = 3*n, 3*x = 5*n + z - 19. Calculate the highest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5014*f**2 + 2202?\nAnswer: 10028*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 78135?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29\/((-2320)\/(-32))*(-5)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -96 (base 10) in base 13?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + -1433444?\nAnswer: -1433444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.149 + -0.34. Let y = n - 2.429. What is y rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -81 - -78 - ((-76)\/18 - -1). Let v(r) be the first derivative of -2\/3*r - c*r**3 + 2\/3*r**2 - 4. Factor v(a).\nAnswer: -2*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(112) + -4*sqrt(112))**2*1 + 5 - ((sqrt(112) + -2)**2 + 0 + (0 + sqrt(112) + -1)**2).\nAnswer: -6272 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 841689 and 1845.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 263 a factor of 1424539763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the second derivative of p**5\/140 + 211*p**4\/42 + 838*p**3\/21 + 836*p**2\/7 - 244*p - 2. Factor b(z).\nAnswer: (z + 2)**2*(z + 418)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**2 + 10*c + 11. Let r be i(-8). What is the tens digit of 85*(4 - (-18)\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26024252066.169 minus 5?\nAnswer: 26024252061.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-6))\/(9962\/(-102) - -98)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.12 + -0.02. Let v = -0.04 - i. What is the closest to -0.1 in -0.5, v, 7\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1, 10, 43, 110, 223?\n\"Answer: 2*x**3 - x**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tvotvvtttvovobooov. Give prob of picking 4 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -v - 552459 + 552459.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 4*a = -6*m - 2, 0 = m + 2*a - 8. Let d be (m\/4)\/(3\/30). Let w(u) = -5*u + 307. Let g(o) = -3*o + 191. Let i(l) = 8*g(l) - 5*w(l). Determine i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3 + (-1 - -6) + 314. Suppose 364 = 2*n + q - 293, -3*q + c = n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*d**2\/11 - 30338204*d\/11.\nAnswer: -2*d*(5*d + 15169102)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j + 13 = k, 0 = -30*k + 31*k + 4*j - 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -5, 1, -16667, -3 in descending order.\nAnswer: 4, 1, -3, -5, -16667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xtw when three letters picked without replacement from ttfxfcfxwxfc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3111 divided by -51.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -85005822.\nAnswer: 2\/42502911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -111 - -13. Let v = -97 - g. Let p(d) = -d. Let o(i) = 2*i**2 + 3*i. Determine v*o(q) - 2*p(q).\nAnswer: 2*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**3\/9 + 191*z**2\/9 - 5044*z\/9 + 4480\/3.\nAnswer: -(z - 160)*(z - 28)*(z - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5798901, -11597801, -17396701, -23195601, -28994501?\nAnswer: -34793401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 9 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 + 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 6, 5*f = -27*y + 23*y + 3450. Calculate the remainder when y is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -35, -246, -819, -1934, -3771, -6510, -10331, -15414?\nAnswer: -21939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 20562134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q**2 + 33151596*q + 66303180 = 0.\nAnswer: -11050530, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -3.7509322 to 3 dps.\nAnswer: -3.751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*q = 2*q - 18*q - 270 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 16*x - 339 + 531 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 11*p**2 + 27*p - 63. What is the remainder when i(3) is divided by 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = d. Suppose d = -2*n + 8 + 2. Let t(h) = -h**3. Let s(z) = 2*z**3 - z**2. Let k(a) = n*t(a) + 2*s(a). Find the third derivative of k(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/(-3)*4\/(-14)*(-27)\/(-45)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 522196 and 1436039.\nAnswer: 5744156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the first derivative of c**3\/3 + 7*c**2\/2 + 6*c + 1172. What is s(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than 795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 2391, -2, -1, 0, 3 in decreasing order.\nAnswer: 2391, 4, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lhp when three letters picked without replacement from {l: 1, s: 3, p: 7, h: 1}?\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -6*t + 11. Let j(n) = -n + n + 5 - 3 - n. Give 34*j(x) - 6*v(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -248 - -250. Suppose 5*w - 5*s = 30, s - 2*s = j. Solve 4*k = 3*i + 16, k = -w*i - 0*i - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 + 17*q**2 + 22*q. Let m be o(20). Round m to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l**3\/9 + 8*l**2\/9 - 230*l\/9 + 700\/9 = 0.\nAnswer: -14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -323, -530, -623, -602, -467, -218?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 230*m + 289170 - 289170.\nAnswer: 230*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -345700053 not equal to -345700055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 5*p + 1. Let q(d) = -4*d - 1. Let s(k) = -3*n(k) - 4*q(k). Suppose 852 - 846 = -2*w. What is s(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**3 - 11*v**2 - 17*v - 119. Calculate s(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 7, v: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -47 (b) 0.38 (c) 25 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 80 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 13\/52 - 83\/(-4). Suppose -6*w + 36 = -3*w. Let o = m - w. Solve o = -4*x + x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 23*k + 509. Is 10 a factor of n(104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3)\/(-2))\/(3\/6). Let n = -1 + a. Let j = -0.06 - -0.06. Are j and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange s**3 + 115*s**2 + 7 - 42*s**2 - 63*s**2 to h*s + l*s**2 + b*s**3 + k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, e: 1, b: 1, a: 1, d: 1}. What is prob of picking 1 e and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i + 0*i**3 - 4*i**3 + 5*i**3)*(-i + i - 2*i**2) + (4*i**3 + 0*i**3 - 2*i**3)*(-3*i**2 + 5*i**2 + i**2).\nAnswer: 4*i**5 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 13*f**3 - 11*f**2 + 5*f + 11. Let q(v) = 7*v**3 - 6*v**2 + 3*v + 6. Let i(j) = -6*m(j) + 11*q(j). What is the units digit of i(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-22\/5))**(3\/4)\/(o**(-15)\/o*o**(2\/61)) assuming o is positive.\nAnswer: o**(7727\/610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -394 + 401. What is the third biggest value in j, -0.5, -3, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 3, v: 3, z: 7, h: 1}. Give prob of sequence tv.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, l: 1, e: 4, z: 1, i: 6}. What is prob of picking 1 e, 1 g, 1 i, and 1 z?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, -5, 368, 4, -1, 61.\nAnswer: -21, -5, -1, 4, 61, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3*6\/(-45)*-5. Suppose -4*g + 5*q = -33, 0*g + 4*q = -g - 18. What is the third derivative of -o**g - 2*o**4 + o**2 - o**j wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/41303, -2, 5 in ascending order.\nAnswer: -2, -2\/41303, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -17*t - 17. Is a(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14706311.\nAnswer: 257, 57223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -27949 (base 11) to base 8\nAnswer: -115475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = -4*n - 13. Let x = -11 - n. Suppose 2*s + 9 - 23 = x. Calculate the greatest common divisor of 49 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 386704010.\nAnswer: 2, 5, 7, 11, 61, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*a**2 + 104*a**2 - 38*a**2 - 36*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2085 and 62.\nAnswer: 129270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*f - 453 = -75. Calculate the remainder when f is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(117) + 3*sqrt(117)*1)*-3)\/(-2*(sqrt(144) - sqrt(9)) + sqrt(54)\/sqrt(6)*1).\nAnswer: 48*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -297729*i**2*k**2*v**3 - 6*i**2*k**2 + 3*i**2*k*v**3 + 8*i**2*k + 3*k*v - 52*v**3 wrt k.\nAnswer: -595458*i**2*v**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 79.385681 rounded to 1 dp?\nAnswer: 79.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**3 - 2*h**2 - h + 5. Let z = -21 + 17. Let d be r(z). Let n = d - 35. Solve -n*y + 4*y = -6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 10\/(-360)*-9 + 1690\/(-6376) and 45\/2?\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (114*2255\/16720)\/((-3)\/(-8)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0298947 millilitres to litres.\nAnswer: 0.0000298947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -88 = -2*c + 168. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 5*q. Let o(d) = 2*d**2 + 4*d + 3. Let w be o(-2). Let t(s) = 5*s. Let r(i) = 2*i. Let z(g) = w*t(g) - 8*r(g). Calculate z(x(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -132.33513 plus -0.00671869?\nAnswer: -132.34184869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -103, -104, -103, -100?\n\"Answer: r**2 - 4*r - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 135 + -118. What is the remainder when 507 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -32926876794 + 32926989370.953023. Let x = g - 112577. Let m = x - -0.047. Round m to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -223 - -433. Is 69 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) 4 (c) -0.1009 (d) 7 (e) -3 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 3 + 1. Let k(f) = f**3 - f**2 - 4*f - 4. Let m be k(3). Suppose 0 = m*c - 5*z - 30, -c + 2*z - 3*z = -1. Solve 9*d - o*d = c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 133 + -39. Suppose 266 + c = 2*b. Suppose j - 3*j + b = 0. Is j a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 3*y = 1, 0 = 5*z - y + 5*y - 6. Suppose -4*k + 10 = 2*p - 18, -2*p = -z*k + 26. Calculate the highest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o + 2*o - 3, -1 = -2*z - 5*o. Let h = 4 + z. Suppose -2 = -2*k + h. Solve 4*i + k + 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -164, -375, -626, -917, -1248?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that 3*q**3 - 8516*q**2 - 11359*q - 2840 = 0.\nAnswer: -1, -1\/3, 2840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add together -1533923 and 1.\nAnswer: -1533922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 414.179 to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 35310 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1682 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*d - d + 6*d)*(-2*d + 0*d + 3*d) - 133 - 55*d**2 + 2*d + 131 + 25*d**2.\nAnswer: -29*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes before 9:05 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -38 divided by 6?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02 + -0.02005988?\nAnswer: -0.00005988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 15 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j. Let s(b) = -51995*b + 5. Let m(h) = s(h) + 4*v(h). Let k be m(-5). What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 1205359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 140408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 12, t: 3, e: 1}. Give prob of sequence tdet.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - y - 40 = 4*y, 39 = -4*r + 3*y. Let v be 3*1*(-6)\/r. Suppose 0 = -v*s + s + 7. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 100000 divided by 4\nAnswer: 25000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.029 in 0.053, -2\/7, -2\/93, 4\/7?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-17 - -1)\/((-22)\/(-132)). Let i = y + 93. Is (-2)\/(-6) + (-1)\/i*6998 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -3*s**3 + 54372*s**2 + 12*s - 217488 = 0.\nAnswer: -2, 2, 18124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tvv when three letters picked without replacement from ttvtvvvuuwhvth?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 23 = -j, -3*b = -4*j - 5*b - 36 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -7820, -7817, -7814, -7811, -7808, -7805?\n\"Answer: 3*z - 7823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2296, 2\/23, -0.427, -0.5, -0.2 in decreasing order.\nAnswer: 2296, 2\/23, -0.2, -0.427, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -2*m**2 + 5*m - 3. Calculate f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.7234 + -7.\nAnswer: -5.2766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence spv when three letters picked without replacement from ppppspvppppvpppvpvpv.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 - 9*z**2 + 2. Let f be v(-9). Solve f + 0 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1329 - 907. Let p = a + -419. Solve -9*n + 12*n + p = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 101347813*s*v - 82468378*v with respect to s.\nAnswer: 101347813*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(500))**2 + -4 + (((sqrt(5) + -2*sqrt(5) - sqrt(5)) + sqrt(5))**2 + -3 - (sqrt(720) + (sqrt(720) + sqrt(720) + -1*sqrt(720))**2)).\nAnswer: -12*sqrt(5) + 1278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 6690 and -8.\nAnswer: -53520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3462.99999416 - -3463. Round d to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uccmcmylmiiimym. Give prob of sequence cii.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**3 - 8*k**2 - 29*k - 523. Is h(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 5*g = -10, 5*v - 3*g - 5 = 3*v. Let w = -905 + 904.8. Let m = 1.5 + -2. Which is the nearest to w? (a) v (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 3*w = 29, -12 = -5*w + 9*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -2, -4, 5, 41\/47?\nAnswer: 41\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.04435*112.3.\nAnswer: -4.980505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4053, -8212, -12625, -17418, -22717, -28648, -35337, -42910?\nAnswer: -51493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90 = 4*d - 2*j - 202, -2*d + 154 = 3*j. Calculate the greatest common divisor of 814 and d.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11011021110 (base 3) to base 12.\nAnswer: -3b449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*c**2 + 23*c**2 - 4*c**2 - 5*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 10*a. Let w = -103 - -147. Suppose -2*x = -w + 36. Let i(p) = -x*p + p + 4*p - 3*p. Calculate i(r(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.169 - -0.16236. What is h rounded to four dps?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -20, -2, -5, -4 in decreasing order.\nAnswer: 0, -2, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12367 is divided by 4096?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be -126*(0 + 12\/(-42)). Suppose -4*k + p = -3*i, 0 = 2*k - 7*i + 2*i - 32. Solve -k = 8*s - 14*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 136264\/953897 + 1\/136271. Let j = -6 + 11. Let n = -26\/15 - -12\/5. What is the third smallest value in 4\/3, j, b, n?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(50)\/(sqrt(10) - (-3*sqrt(90) + sqrt(10))).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pyy when three letters picked without replacement from {p: 4, j: 6, y: 9}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**2 + 55*n - 63. Is 12 a factor of x(48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x - 5. Let d be c(9). Suppose 5*b - 2 - 19 = -3*q, -12 = 4*b. Solve d*m - m - q = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 4*b = -2*t + 4, 4*b - 5*t = 18. Let g be b + 2 - (2 - 5). Let j = g + -4. Solve y + j*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**3 - 6*a**2 - 4*a. Give z(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 181665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5)\/((-10)\/34)*1. Find the third derivative of -10*r**2 + 17*r**3 - 3*r**6 - f*r**3 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 5*v - 15. Let s be n(14). Suppose -s = -6*m + m. Let f = m + -9. Solve -f*t - 6 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 3*y - 8*y, 4*r + 3*y - 220 = 0. What is the remainder when (-7270)\/(-14) + (-20)\/70 is divided by r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 + 5*w. Let d be s(4). Let l(n) = -n - 5 + d*n - 5*n + 17. Let v be l(-6). What is the greatest common factor of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*c**3*x*z**3 + 29*c**3*x*z + 7*c**3*z**3 + 5*c**3*z**2 - 4*x*z**3 + 5*x*z**2 wrt z.\nAnswer: -18*c**3*x + 42*c**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (b - b - 2*b)*(-2*b + b + 2*b**3 + 3*b).\nAnswer: -4*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -61.5 - -58.5. Let l = 45 - 312\/7. Let f = 0 + 0. What is the third smallest value in l, a, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-16 + 4) - (11 + -13) - (1 - -66).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 3*o**3 - 6*o**2 + 3*o - 3. Is 10 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 35*j - 245. Let v be u(7). Suppose 6*r - 10126 - 14540 = v. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/(-3)*(-9)\/(-66). Suppose -9*k = -18*k. Is b greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 42509334 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -1\/8645?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 202 - 1498 = 5*q, 332 = -q + 3*f. Let w = q - -810. What are the prime factors of w?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3412.7 and -0.3.\nAnswer: -1023.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3\/13, -5, -9\/7, -1\/3, -1\/4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 22450 (base 8) to base 2.\nAnswer: 10010100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.27 + -19.73. Let t = j + 21. Which is the closest to -1? (a) t (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*a**3 - 58*a**2 - 30*a**3 + 6*a**3.\nAnswer: -15*a**3 - 58*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -26 + 16 - (16 + (-7 - -1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -77549730 to the nearest ten thousand.\nAnswer: -77550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -398490*y. Let q(x) = 8*x. What is q(k(t))?\nAnswer: -3187920*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11 + -9. Suppose 2*r = -3*k - z*r - 66, 3*r = 2*k + 61. Let m = k + 40. What is the lowest common multiple of m and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 - 3*o - 2. Let w be z(4). Let k be (-2)\/(-2) - 5\/w. Let x = -2\/35 - -109\/70. Which is the second biggest value? (a) 5 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 134*v + 187 = 723. Solve -v = -2*b + 16*f - 20*f, 2 = 2*b + 2*f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 2 y, and 1 r when four letters picked without replacement from {a: 1, r: 1, y: 2, f: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*a = 775 + 5. Let p be -1 + 9 + a\/3. Factor -1\/4*l**p + 1\/2 - 5\/4*l + l**2.\nAnswer: -(l - 2)*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + 23\/12)*(-5 + 3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 + x)*(2 - 6 - 4).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 214, 240, 254, 256, 246, 224?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (2 - 2) + (-5 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2 + 78*u.\nAnswer: -2*u*(u - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1307649?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 343642 is divided by 114546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**2 - 4*v - 2. Suppose -219 = z - 223. Suppose -5*q - 35 = -z*h, -5*q - 16*h + 5 = -12*h. Determine w(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-2)*(-15)\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**3 + 3*m**2 - 5*m + 9. Let b be k(-6). Let n = b + 755\/11. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:54 PM and 1:31 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/(-8) + (-85)\/(-20). Suppose 5*i = -5*x, 2*i - o*x + 30 - 9 = 0. Let d(m) = m**2 - m. Calculate the remainder when d(i) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the third derivative of k**5\/60 + k**4\/2 + 7*k**3\/3 + 6*k**2. Let g be i(-11). Suppose -4*a + g*u + 510 = 0, -5*u = 5*a - 0*u - 655. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*o - 15*o = 30. Suppose 9*n - 4*n + 5*u = o, 2*n - 13 = -u. Suppose -n*p + 4*p = -3*x + 783, -p - 787 = -3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/26 + 626\/(-13). Let j = 60 - p. Calculate the greatest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 23 - 18. Suppose -t + 5*l + 18 = -2*t, -5*l - 30 = -o*t. What is the derivative of -1 + 13 + 0*p**t + 8*p**2 wrt p?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34705956404 take away -2.3?\nAnswer: 34705956406.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.04 + 0.26. Let o = 0.6 - k. Let n = -0.5 + o. Which is the third smallest value? (a) -0.4 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -20 and -5.1?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -157\/15054 and 53\/118248.\nAnswer: 22821864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/((8 + 0)\/(-1)). Let o = -12256 - -12256.1. Sort 2, o, b, -4 in descending order.\nAnswer: 2, b, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 5 (b) 0 (c) 3 (d) -0.0457\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 5*o. Let x(b) = -10*b**2 - 31*b. Determine z(x(w)).\nAnswer: -50*w**2 - 155*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 8) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -39 + 3*y**2 - 20*y**3 - 5*y**2 - 5*y + 42 wrt y?\nAnswer: -120*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*q**3 + 2*q**3 - 4*q**3 + (5996*q + 1373*q**3 - 2973*q - 3020*q)*(0 + 1 + 0) to l + j*q + h*q**3 + a*q**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1146.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 16972641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 68449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 210 divide 30240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3.87 + 0.13. Let w = 4.451 - 1.451. Sort w, 6\/7, g, 1\/7 in decreasing order.\nAnswer: g, w, 6\/7, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -94962, -759337, -2562642, -6074343, -11863906?\n\"Answer: -94911*n**3 + n**2 - n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8878750, 8878805, 8878860, 8878915, 8878970?\nAnswer: 8879025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.832 - 0.068. Let p = k - 0.1. Let d = 0.5 + 0. Put p, d, 4 in ascending order.\nAnswer: p, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 2 s when four letters picked without replacement from {u: 2, s: 1, b: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**2 - 22*u + 213. Let d be l(7). Let c be (-2 - -3 - -1) + -4. Let m be ((-1)\/3)\/(c\/6). What is the highest common factor of d and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 540686*g + 1377. Is v(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000004813 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -135 - -134. What is the third biggest value in w, 2, 51?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v + 4*w + 8, -4*v - 4*w = -28. Suppose -3*m + l = -11, -7 = -5*m + 2*l + 13. Let d = 10 - m. Calculate the smallest common multiple of d and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23, -16, -9, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4, 2990, -1.\nAnswer: -5, -1, 4, 2990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 40 - 67. Let t be i\/18*28\/(-2). Solve -16 = -2*y - 2*v, 7*v - 4*v = -2*y + t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2 + 1. Let m(h) = h**2 - 8*h + 9. Let a be m(6). Is i less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2387391980 rounded to the nearest one million?\nAnswer: -2387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6089?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -g - 10, n - 4*g = -0*g - 17. Let w be (-1 - -48) + n - 0. Round w to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 92 + 56 + -77 + 20.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 + 5*l**2 - 5*l + 6. Let q be n(4). Suppose -5*u + q + 8 = 0. Suppose t - 2*t + u = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 26, -7, -9, 0.1, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -65 + 63. Put -4, -164, u in decreasing order.\nAnswer: u, -4, -164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.76 - 0.24. Put 0, 2\/5, c in ascending order.\nAnswer: c, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 23 - -332022441?\nAnswer: 332023014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 10483551 divided by -7\nAnswer: -10483551\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 22201 - 22198. Solve 39*f = 40*f + y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 646 - 636. Calculate the smallest common multiple of f and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1040337260.\nAnswer: 2, 5, 179, 290597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -3034 (base 5) to base 13.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -5*u + 5. Suppose 2*q - 4 - u = 0. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24\/4939 + -200195\/474144. Calculate the common denominator of -49\/48 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6\/(-4))\/(9\/18). What is the remainder when (-164)\/(-3) + h\/(-9) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -153381, -306704, -460027, -613350, -766673?\nAnswer: -919996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 2*g - 2 = 0, 5*i + 2*g - 8 - 2 = 0. Suppose -2*p + 120 = i*p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 9*k**2 - 9*k**2 + 20*k**5 - k**5 - k**3 + k**3 + (2*k**2 + 0*k**2 - 4*k**2)*(3*k - 2*k**3 - 3*k) + 0*k**5 - k**5 - k**5.\nAnswer: 21*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 7 - 2 + q**2)*(-72*q + 113*q - 80*q)*((-4*q + q + 4*q)*(2 + 0 - 3) + 4*q - 2*q + q).\nAnswer: -78*q**4 + 78*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2768 and 244888420.\nAnswer: 979553680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1127 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 154554, 309106, 463674, 618264, 772882, 927534?\nAnswer: 1082226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -21*-54\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find l such that l**5\/9 - 2965*l**4\/3 + 2197312*l**3 + 19784704*l**2\/9 = 0.\nAnswer: -1, 0, 4448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -157 or -11356\/73?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -2*x. Let s = -12 + x. What is the tens digit of 12 - (-8)\/s*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/((-24)\/((-432)\/18))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -531871 divided by 15\nAnswer: -531871\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes after 3:58 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/4940 and 32\/5?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r**3 + 0*r**3 - 2*r**3)*(247 - 183 - 179)*(1 + 0 + 0).\nAnswer: 230*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*h - 6*h + 7014. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 156*z - 2*z + 11*z + 165 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*2*3*(sqrt(3) + 5 + sqrt(3))*4.\nAnswer: 144*sqrt(3) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -5*p + 2*o, 8*p + 3*o - 17 = 4*p. Factor -16 + 60*f**2 + 60 - 35*f**3 + 261*f + 35*f**p + 119*f + 56.\nAnswer: -5*(f - 5)*(f + 2)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 3\/25, 9, 0.09, 1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(2\/9)\/(l\/l**(1\/9)))\/(l**(-3))**(-6) assuming l is positive.\nAnswer: l**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -4077 bigger than -4064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 429 - 107. Suppose -64 = 2*q - v. Calculate the remainder when q is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-20)\/35*-1)\/(((-30624)\/77)\/16)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c**(-2\/13)*c)\/c**(3\/5))\/(c**(2\/5)*c**(-7)\/c))\/(c**(-3\/7)\/c**0)**24 assuming c is positive.\nAnswer: c**(1650\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*j - 8*j + 92*j**2 + 14*j to the form l + h*j**2 + p*j and give h.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*h + 34*h - 18*h.\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.9025509km?\nAnswer: 902550.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 5, 158.\nAnswer: 3, 5, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**3 - 3*s**2 - 35*s - 14. Let o be t(-4). Let v be (91\/o - 4)*-6. Sort v, 0.5, -5\/3.\nAnswer: v, -5\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/(d\/d**(-1\/4))*d\/(d\/d**(11\/4))*(d*(d**(-8\/7)*d)\/d*d)\/(((d\/(d**(-28)\/d))\/d)\/d) assuming d is positive.\nAnswer: d**(-345\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.112 and 2.17.\nAnswer: 2.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-5)\/(-2)*(-26)\/(-65) + 7. Solve -8*w + b = -o - 4*w, 0 = 5*o + w - 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 379? (a) -73 (b) -1\/5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, -1, 4, 2, 74, 3, 18.\nAnswer: -24, -1, 2, 3, 4, 18, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3.29 - -3. Round x to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the third derivative of -r**2 + 1\/6*r**3 + 0*r + 5\/8*r**4 + 0. Does 6 divide s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.006922189 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 40*b**2 - 24*b - 22. List the prime factors of f(-2).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6201567966 to the power of 1\/3, to the nearest integer?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -4. Suppose 13*g - 14*g + 2 = 0. Let n(z) = -12. Let a(k) = g*n(k) - 7*q(k). Let m(t) = t + 21. Calculate 11*a(x) - 2*m(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 876\/49056*0\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -23, -34, -41, -56, -91?\n\"Answer: -2*v**3 + 14*v**2 - 39*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*c**2 - 5163*c + 2583090.\nAnswer: -3*(c - 405)*(c + 2126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 - 17*q - 18. Determine r(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -3, -1, -3\/1657, -25.\nAnswer: -25, -3, -1, -3\/1657, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(117)\/sqrt(36) + (sqrt(52)*-1)\/sqrt(4).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -11765475 by -261455.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 743, 738, 733, 728, 723, 718?\n\"Answer: -5*o + 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 5*-1624076\nAnswer: -8120380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -548995 = -q + 3*b, -46*b - 548979 = -q - 51*b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -158 - -119. What are the prime factors of (f\/6)\/((-93)\/46 + 2)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -57\/4 and (69\/42)\/((-1188)\/315)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -225 = -400*b + 355*b. Solve b*y + 8*d - 7*d = -22, -2*y + 3*d = 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 1649 = -3*g, 6*g - 2*g = 20. Calculate the least common multiple of i and 8.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (-111 + 1 - (-322 + 299)) - 10?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 121163518*i**3 + 77*i**2 - 564314?\nAnswer: 726981108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 334*h - 10*h**2 - 334*h - 2 + 2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 3 - 2 + 1 + 2 - 3*o. Let b be r(2). Let g be (b - 12\/(-3) - 6) + 15. What is the highest common divisor of g and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11538 and 1611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*d - 27 = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -4566, -4563, -4558, -4551, -4542, -4531, -4518?\n\"Answer: m**2 - 4567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 338966651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 425676907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -49523 + -25856406.1?\nAnswer: -25905929.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 221797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 15233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.4*-4.442\nAnswer: 1.7768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -72 + 424. Find the common denominator of (979\/d)\/1 + (0 - 0) and 59\/108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.0589 - -0.085316. Let b = -0.0334 + t. Round b to four dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 345\/7 - (-4)\/(-14). Let s = -27 + m. Suppose 2*b - 11 = 11. What is the greatest common divisor of s and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((3*((sqrt(2057)*2 - sqrt(2057)) + sqrt(2057)))**2 - sqrt(2057)) + (0 + 4 + sqrt(2057))**2*2.\nAnswer: 165*sqrt(17) + 78198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (63\/((-1134)\/8))\/((-4)\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1345*z - 142*z = -271*z + 15808 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 20*h - 10*h + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-270)\/(-9) + 2\/2. Calculate the greatest common divisor of u and 2015.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 282154 and 181334?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -31*j + 25*j + 17 + 23*j + 7 with respect to j.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 122 + -127. Which is the closest to t? (a) 6\/11 (b) 2 (c) 1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10095 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*a - 34 = 29 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 60 = -6*w. Suppose w = 3*o + 2*o. Suppose -5*v + 54 = o. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + -3666840709\nAnswer: -3666840716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/(-2808)*13*16\/(-4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 274 by 20.\nAnswer: 137\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of 13*l**5 + 17*l**2\/2 + 65. Find the second derivative of n(s) wrt s.\nAnswer: 780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 578 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (26900 - 1167*f - 246*f - 26898)*(6 - f - 6) to x*f + i + g*f**2 and give g.\nAnswer: 1413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 14 + 1 - ((7 - 12) + -5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.9 (b) 59290 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3712601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*s**5 - 1564*s**3*u**2 + 31*s**2*u - 24*s*u**2 + s + 17*u**2 wrt s.\nAnswer: -360*s**2 - 9384*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1114 = -10*y + 1436. Let p = -252 + y. Solve 0 = z - 5*w - 15, 3*z = 4*w - w - p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -151 - -153. Solve 0*h + 8 = -5*y - 3*h, 4*y + 2 = c*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13 or 32.9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -1 - 3. Let k(n) = n**3 - 2*n - 1. Let d be k(m). Solve d*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 9, -5, 88, -3, 8, 2 in descending order.\nAnswer: 88, 9, 8, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(1260)*2*-4*1)\/((sqrt(225)\/sqrt(5))\/sqrt(9) - (sqrt(125) - (sqrt(125) + sqrt(125) + -1*sqrt(125) + sqrt(125)))).\nAnswer: -8*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = -5*v - f - 25, -v + 2*f - 5 = 0. Let x be (-3)\/(v\/(-50)*-3) + -4. Let m(p) be the first derivative of p**3\/3 - 7*p**2\/2 + 8*p + 3. Give m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 10, v - 2*w + 6*w = 14. Let h(n) = -n**2 - 3*n - 3. Let y be h(-3). What are the prime factors of y\/v*-6 - -7?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the first derivative of j**2 - 1. Let r(f) be the first derivative of -2*f**3 + 327. Give r(v(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 6*l - 10. Let f be y(4). Suppose 13*c = f*c - 2. Suppose 0 = -3*n - 5 + c, 0 = 2*m + 2*n - 1056. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) 148\/205 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of -z**4\/8 - 11*z**3\/3 + z**2. Let c be k(-8). Suppose 4*t - c*q = 2208, 0 = -4*t - 3*q + 82 + 2136. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 - -1*6\/1. Factor 2*v**4 - 7*v + q*v**3 - 2*v - 2*v**2 + 5*v.\nAnswer: 2*v*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-6))\/(13\/156*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 4 - 1)*(2*i + 3*i - 3*i + (0*i - 2*i + 3*i)*(1 - 2 + 2) + 76 + 4*i - 76) to k + w*i and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -18 + 20. Suppose 0 = t + p*h - 1512, -5*h - 114 - 1426 = -t. What is t rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g + 5. Let v(c) = 4*c + 14. Determine 4*v(k) - 11*z(k).\nAnswer: 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/4 - (-25)\/10. Let l = -28.03 + -0.07. Let k = 17.1 + l. What is the closest to k in s, 3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 58058832 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24420?\nAnswer: 2, 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(4)\/sqrt(2) + sqrt(18) + -1.\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -36 divided by 580?\nAnswer: -9\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 915116 to the power of 1\/2, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p + 1. Let x(j) = 10*j - 14. Suppose -3*v = 2*n - v - 26, v = 2*n - 23. Calculate n*z(s) + x(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -1060\/77 less than 1310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 262755957.\nAnswer: 3, 2377, 36847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + -219277?\nAnswer: -219273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 36 - 20. Solve -5*u + a = -3*i, 0*i = -3*i + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26002, -25991, -25980, -25969, -25958?\nAnswer: -25947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2604 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19262 - 4005. What are the prime factors of z?\nAnswer: 11, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from yymrqgyghqgmggymhgh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3749417382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/(-2) - (-7 + 4). Let y(f) = f**2 + 2*f + 329. Is y(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1035\/13 + -83926\/1053. Let c = 4511\/648 + n. Calculate the common denominator of (-468)\/(-80) - 1\/(-4) and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 2\/5, 1, 0.3, -3\/8, 40 in ascending order.\nAnswer: -3\/8, 0.3, 2\/5, 0.5, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 18, 24, 34, 48, 66?\n\"Answer: 2*j**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 119 a factor of 106054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 5*m**2 - 2*m + 2. Let z(d) = -42*d**2 + 18*d - 18. Let a(t) = -9*j(t) - z(t). Let y(q) be the second derivative of 2*q**4\/3 - q. Give a(y(v)).\nAnswer: -192*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v**3 - v**2 + v**2 + (-20*v**2 - 17*v**2 + 8*v**2)*(-5*v + 2*v + v).\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 904 is divided by 98?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 929*m**4 - 2743?\nAnswer: 3716*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.319704 years to centuries.\nAnswer: 0.00319704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.3 + -0.29. Let z = 0.114 + -0.12. Let n = r - z. What is n rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 94, 40, -88, -326, -710, -1276, -2060, -3098?\nAnswer: -4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10 minutes before 3:43 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is eight fifteenths of a minute in milliseconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.021 and -8144118.\nAnswer: -8144118.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 17 in 1, -3\/5, 262?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 436 (base 7) to base 16\nAnswer: df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -322 - -546. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/(-4))\/(6\/12). Let b(l) = l**2 - l + 2. Let j be b(0). Let r = j - h. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(-24)*12*((-21)\/(-342))\/(-7)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -1.06, 2\/7, 3, 0.3, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes before 8:26 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/12 + (-3)\/12. Which is smaller: 1\/12 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 239 is divided by 6 + -7 + -4*122\/(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(17) - sqrt(17)) + 4)**2 + (sqrt(306)\/sqrt(6))\/sqrt(3) - (0 + 2*sqrt(68) - (-1*sqrt(68))**2*-4).\nAnswer: -239 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*y + y + 4*j - 52, 3*y - 9*j + 5 = 3 - 7 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 22\/(-16) - 177\/(-472)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -60 + 69 - (1 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -141*l**3*t**5 + 3671*l**3*t**3 + 20*l**3 + 2*l**2*t + 2*l*t + 662*t wrt t.\nAnswer: -2820*l**3*t**3 + 22026*l**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/74 (c) -1 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-27)\/18)\/((-1)\/(-2)). Let m = i - 2. Let d = -39 + 353\/9. Which is the third smallest value? (a) m (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -3865*f + 1492. Is d(-43) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1914154786?\nAnswer: 2, 9643, 99251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170 = 3*f + 5*u, 4*f + f = 3*u - 306. Let a = -35 - f. Suppose 80 = -21*h + a*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 95151 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9 - -1. Suppose h = 3*f - 5*i, 5*f - 3*i = 5 - 15. Let t(s) = s. Let m(z) = -8*z. Let w(y) = f*m(y) - 30*t(y). Let x(l) = 2*l. What is w(x(b))?\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, -29, -3 in decreasing order.\nAnswer: 5, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 168*f = -47*f + 1720. Let n = -3 - -15. What is the least common multiple of n and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 1606 = 3*k - 0*k, -4*k - 2*y = -2142. Suppose -3*p + f = -k, 0 = -2*p + 3*f - 7*f + 348. List the prime factors of p.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 5 and -5957?\nAnswer: 5962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*v - 29 = -218 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 4 - 3)*(-9 + 9 + 4*t**2)*(-2*t**2 - 2*t**2 + 3*t**2).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the third derivative of 0*f**5 - 30*f + 0*f**6 + f**2 + 0 + 0*f**4 + 1\/210*f**7 + 0*f**3 + 1\/1344*f**8. Find l, given that g(l) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 14 - 11 = 0. Let f(s) = -s**3 - 16*s**2 - 7*s + 33. Let t be f(-17). Let q = t - 433. Solve -q*i = -w*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + 2. Let r = -6 + g. Let d = 22319 - 22317. Which is the nearest to 2? (a) r (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is c7 - -239e?\nAnswer: 2476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 292141833 to the power of 1\/2, to the nearest integer?\nAnswer: 17092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1603593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 18708*o + 318264. What is w(-17)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2320 + 3*w + 2320.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -6 (b) 2\/61 (c) -8 (d) -12 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-1*3\/(-12))\/(5\/(-10))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}